Examples, run live

Every example below is one entry of src/quantum/examples.ts. This page calls handle for each at render time, the test suite replays the same list, and the audit tool replays it again on request. If an expectation fails, the site build fails: the page cannot show a result the tool does not return.

discover · discover-lead-registry

Leads first: a lead's distinctive words asked of the public MCP registry (registry.modelcontextprotocol.io) before any guess about which MCP serves it; the client fetches, and the answers name the related servers and the request that extends each through qpu.

{"name":"discover","arguments":{"lead":"payload-skills-used"}}

✓ as expected

discover · Discovery before use. Without answers: every request the client must make for the contracts of the hosts this tree talks to (MCP tools/list and catalogue doors, the verifiers' OpenAPI, index or identify documents, /.well-known/qpu.json). With answers: the follow-ups still to fetch (catalogue doors whose contract is unread) and, once none remain, the discovery: hosts, doors with what they take and answer, capabilities by which clients choose doors, and the leads (hosts with no machine contract). Pure; the client fetches.

phase

registry

lead

payload-skills-used

requests

3

note

the client fetches each (GET, public, no token) and calls again with answers: the related servers and the tools/list request that extends each through qpu

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "phase": "registry",
  "lead": "payload-skills-used",
  "words": [
    "payload",
    "repository",
    "reference"
  ],
  "requests": 3,
  "requestList": [
    {
      "id": "registry:payload-skills-used:payload",
      "lead": "payload-skills-used",
      "word": "payload",
      "method": "GET",
      "url": "https://registry.modelcontextprotocol.io/v0/servers?search=payload&limit=10",
      "accept": "application/json"
    },
    {
      "id": "registry:payload-skills-used:repository",
      "lead": "payload-skills-used",
      "word": "repository",
      "method": "GET",
      "url": "https://registry.modelcontextprotocol.io/v0/servers?search=repository&limit=10",
      "accept": "application/json"
    },
    {
      "id": "registry:payload-skills-used:reference",
      "lead": "payload-skills-used",
      "word": "reference",
      "method": "GET",
      "url": "https://registry.modelcontextprotocol.io/v0/servers?search=reference&limit=10",
      "accept": "application/json"
    }
  ],
  "note": "the client fetches each (GET, public, no token) and calls again with answers: the related servers and the tools/list request that extends each through qpu"
}

discover · discover-requests

Phase one of discovery: the requests a client makes for every contract — the unit's tools/list, its catalogue door, its well-known file, and the verifiers' contract documents.

{"name":"discover","arguments":{"mcpHosts":["https://uuidna.com/mcp"]}}

✓ as expected

discover · Discovery before use. Without answers: every request the client must make for the contracts of the hosts this tree talks to (MCP tools/list and catalogue doors, the verifiers' OpenAPI, index or identify documents, /.well-known/qpu.json). With answers: the follow-ups still to fetch (catalogue doors whose contract is unread) and, once none remain, the discovery: hosts, doors with what they take and answer, capabilities by which clients choose doors, and the leads (hosts with no machine contract). Pure; the client fetches.

phase

requests

requests

23

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "phase": "requests",
  "requests": 23,
  "requestList": [
    {
      "id": "mcp-list:uuidna.com",
      "method": "POST",
      "url": "https://uuidna.com/mcp",
      "body": {
        "jsonrpc": "2.0",
        "id": 1,
        "method": "tools/list"
      },
      "purpose": "mcp-list",
      "host": "uuidna.com"
    },
    {
      "id": "catalogue:uuidna.com",
      "method": "POST",
      "url": "https://uuidna.com/mcp",
      "body": {
        "jsonrpc": "2.0",
        "id": 1,
        "method": "tools/call",
        "params": {
          "name": "list_tools",
          "arguments": {}
        }
      },
      "purpose": "catalogue",
      "host": "uuidna.com"
    },
    {
      "id": "well-known:uuidna.com",
      "method": "GET",
      "url": "https://uuidna.com/.well-known/qpu.json",
      "purpose": "well-known",
      "host": "uuidna.com"
    },
    {
      "id": "api-contract:raw.githubusercontent.com:github",
      "method": "GET",
      "url": "https://raw.githubusercontent.com/github/rest-api-description/main/descriptions/api.github.com/api.github.com.json",
      "purpose": "api-contract",
      "host": "raw.githubusercontent.com",
      "name": "github"
    },
    {
      "id": "api-contract:export.arxiv.org:arxiv",
      "method": "GET",
      "url": "https://export.arxiv.org/oai2?verb=Identify",
      "purpose": "api-contract",
      "host": "export.arxiv.org",
      "name": "arxiv"
    },
    {
      "id": "api-contract:api.datacite.org:datacite",
      "method": "GET",
      "url": "https://api.datacite.org/",
      "purpose": "api-contract",
      "host": "api.datacite.org",
      "name": "datacite"
    },
    {
      "id": "api-contract:zenodo.org:zenodo",
      "method": "GET",
      "url": "https://zenodo.org/api/",
      "purpose": "api-contract",
      "host": "zenodo.org",
      "name": "zenodo"
    },
    {
      "id": "api-contract:api.crossref.org:crossref",
      "method": "GET",
      "url": "https://api.crossref.org/swagger-docs",
      "purpose": "api-contract",
      "host": "api.crossref.org",
      "name": "crossref"
    },
    {
      "id": "api-contract:opendata.cern.ch:cern-opendata",
      "method": "GET",
      "url": "https://opendata.cern.ch/api/records/?size=1",
      "purpose": "api-contract",
      "host": "opendata.cern.ch",
      "name": "cern-opendata"
    },
    {
      "id": "api-contract:docs.mcp.cloudflare.com:cloudflare-docs",
      "method": "GET",
      "url": "https://docs.mcp.cloudflare.com/mcp",
      "purpose": "api-contract",
      "host": "docs.mcp.cloudflare.com",
      "name": "cloudflare-docs"
    },
    {
      "id": "api-contract:en.wikipedia.org:wikipedia",
      "method": "GET",
      "url": "https://en.wikipedia.org/api/rest_v1/?spec",
      "purpose": "api-contract",
      "host": "en.wikipedia.org",
      "name": "wikipedia"
    },
    {
      "id": "api-contract:payloadcms.com:payload-site",
      "method": "GET",
      "url": "https://payloadcms.com/api/pages?limit=1&depth=0",
      "purpose": "api-contract",
      "host": "payloadcms.com",
      "name": "payload-site"
    },
    {
      "id": "api-contract:csrc.nist.gov:nist-fips-203",
      "method": "GET",
      "url": "https://csrc.nist.gov/pubs/fips/203/final",
      "purpose": "api-contract",
      "host": "csrc.nist.gov",
      "name": "nist-fips-203"
    },
    {
      "id": "api-contract:csrc.nist.gov:nist-fips-204",
      "method": "GET",
      "url": "https://csrc.nist.gov/pubs/fips/204/final",
      "purpose": "api-contract",
      "host": "csrc.nist.gov",
      "name": "nist-fips-204"
    },
    {
      "id": "api-contract:csrc.nist.gov:nist-fips-205",
      "method": "GET",
      "url": "https://csrc.nist.gov/pubs/fips/205/final",
      "purpose": "api-contract",
      "host": "csrc.nist.gov",
      "name": "nist-fips-205"
    },
    {
      "id": "api-contract:csrc.nist.gov:nist-pqc",
      "method": "GET",
      "url": "https://csrc.nist.gov/projects/post-quantum-cryptography",
      "purpose": "api-contract",
      "host": "csrc.nist.gov",
      "name": "nist-pqc"
    },
    {
      "id": "api-contract:platform.claude.com:claude-api",
      "method": "GET",
      "url": "https://platform.claude.com/docs/en/api/overview",
      "purpose": "api-contract",
      "host": "platform.claude.com",
      "name": "claude-api"
    },
    {
      "id": "api-contract:api.github.com:payload-website",
      "method": "GET",
      "url": "https://api.github.com/repos/payloadcms/website/git/trees/main?recursive=1",
      "purpose": "api-contract",
      "host": "api.github.com",
      "name": "payload-website"
    },
    {
      "id": "api-contract:api.github.com:payload-skills",
      "method": "GET",
      "url": "https://api.github.com/repos/payloadcms/skills/git/trees/main?recursive=1",
      "purpose": "api-contract",
      "host": "api.github.com",
      "name": "payload-skills"
    },
    {
      "id": "api-contract:schema.org:schema-org",
      "method": "GET",
      "url": "https://schema.org/version/latest/schemaorg-current-https.jsonld",
      "purpose": "api-contract",
      "host": "schema.org",
      "name": "schema-org"
    },
    {
      "id": "api-contract:raw.githubusercontent.com:cldr-languages",
      "method": "GET",
      "url": "https://raw.githubusercontent.com/unicode-org/cldr-json/main/cldr-json/cldr-localenames-full/main/en/languages.json",
      "purpose": "api-contract",
      "host": "raw.githubusercontent.com",
      "name": "cldr-languages"
    },
    {
      "id": "api-contract:raw.githubusercontent.com:cldr-currencies",
      "method": "GET",
      "url": "https://raw.githubusercontent.com/unicode-org/cldr-json/main/cldr-json/cldr-numbers-full/main/en/currencies.json",
      "purpose": "api-contract",
      "host": "raw.githubusercontent.com",
      "name": "cldr-currencies"
    },
    {
      "id": "api-contract:raw.githubusercontent.com:cldr-territories",
      "method": "GET",
      "url": "https://raw.githubusercontent.com/unicode-org/cldr-json/main/cldr-json/cldr-localenames-full/main/en/territories.json",
      "purpose": "api-contract",
      "host": "raw.githubusercontent.com",
      "name": "cldr-territories"
    }
  ]
}

wave · wave-requests

Phase one of the wave: the requests two leads need, once per URL, each naming the leads it serves.

{"name":"wave","arguments":{"leads":["willow-spec","repo-cirq"]}}

✓ as expected

wave · The verification wave. Without results: every request the surface's leads and tree facts need, once per URL with the leads it serves. With results (each request plus status, ok, ms and the body text): what came back read into one-line notes, a check of each request against the OpenAPI contract its host published (from discovery), and a summary by verifier. Pure; the client fetches.

phase

requests

leads

2

requests

28

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "phase": "requests",
  "leads": 2,
  "requests": 28,
  "requestList": [
    {
      "verifier": "source-page",
      "url": "https://quantumai.google/static/site-assets/downloads/willow-spec-sheet.pdf",
      "check": "the page states: Willow: 105 qubits, the grid, two chips with their figures",
      "leads": [
        "willow-spec"
      ]
    },
    {
      "verifier": "oeis",
      "url": "https://oeis.org/search?fmt=json&q=105",
      "check": "the integer 105 appears in at least one sequence",
      "leads": [
        "willow-spec"
      ]
    },
    {
      "verifier": "wikipedia",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/105",
      "check": "the summary agrees with the lead's statement",
      "leads": [
        "willow-spec"
      ]
    },
    {
      "verifier": "github",
      "url": "https://api.github.com/repos/quantumlib/cirq",
      "check": "description and language equal the repositories tool's entry for cirq",
      "leads": [
        "repo-cirq"
      ]
    },
    {
      "verifier": "wikipedia",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/cirq",
      "check": "the summary agrees with the lead's statement",
      "leads": [
        "repo-cirq"
      ]
    },
    {
      "verifier": "nist-codata",
      "url": "https://physics.nist.gov/cgi-bin/cuu/Value?h",
      "check": "the CODATA value of h agrees with Qpu.Physics to the precision the Lean file states",
      "leads": [
        "tree:constant:h"
      ]
    },
    {
      "verifier": "nist-codata",
      "url": "https://physics.nist.gov/cgi-bin/cuu/Value?k",
      "check": "the CODATA value of k agrees with Qpu.Physics to the precision the Lean file states",
      "leads": [
        "tree:constant:k"
      ]
    },
    {
      "verifier": "datacite",
      "url": "https://api.datacite.org/dois/10.5281%2Fzenodo.21781602",
      "check": "the DOI resolves; creators name Rouschev, Tsvetan with ORCID 0009-0000-7312-9778",
      "leads": [
        "tree:doi:10.5281/zenodo.21781602"
      ]
    },
    {
      "verifier": "zenodo",
      "url": "https://zenodo.org/api/records/21781602",
      "check": "metadata.creators[0].name is Rouschev, Tsvetan and metadata.title matches",
      "leads": [
        "tree:doi:10.5281/zenodo.21781602"
      ]
    },
    {
      "verifier": "doi-org",
      "url": "https://doi.org/api/handles/10.5281%2Fzenodo.21781602",
      "check": "the handle resolves to a URL (responseCode 1)",
      "leads": [
        "tree:doi:10.5281/zenodo.21781602"
      ]
    },
    {
      "verifier": "datacite",
      "url": "https://api.datacite.org/dois/10.5281%2Fzenodo.23156998",
      "check": "the DOI resolves; creators name Rouschev, Tsvetan with ORCID 0009-0000-7312-9778",
      "leads": [
        "tree:doi:10.5281/zenodo.23156998"
      ]
    },
    {
      "verifier": "zenodo",
      "url": "https://zenodo.org/api/records/23156998",
      "check": "metadata.creators[0].name is Rouschev, Tsvetan and metadata.title matches",
      "leads": [
        "tree:doi:10.5281/zenodo.23156998"
      ]
    },
    {
      "verifier": "doi-org",
      "url": "https://doi.org/api/handles/10.5281%2Fzenodo.23156998",
      "check": "the handle resolves to a URL (responseCode 1)",
      "leads": [
        "tree:doi:10.5281/zenodo.23156998"
      ]
    },
    {
      "verifier": "datacite",
      "url": "https://api.datacite.org/dois/10.5281%2Fzenodo.22700098",
      "check": "the DOI resolves; creators name Rouschev, Tsvetan with ORCID 0009-0000-7312-9778",
      "leads": [
        "tree:doi:10.5281/zenodo.22700098"
      ]
    },
    {
      "verifier": "zenodo",
      "url": "https://zenodo.org/api/records/22700098",
      "check": "metadata.creators[0].name is Rouschev, Tsvetan and metadata.title matches",
      "leads": [
        "tree:doi:10.5281/zenodo.22700098"
      ]
    },
    {
      "verifier": "doi-org",
      "url": "https://doi.org/api/handles/10.5281%2Fzenodo.22700098",
      "check": "the handle resolves to a URL (responseCode 1)",
      "leads": [
        "tree:doi:10.5281/zenodo.22700098"
      ]
    },
    {
      "verifier": "datacite",
      "url": "https://api.datacite.org/dois/10.7483%2FOPENDATA.CMS.53FG.V2S9",
      "check": "the DOI resolves; creators name Rouschev, Tsvetan with ORCID 0009-0000-7312-9778",
      "leads": [
        "tree:doi:10.7483/OPENDATA.CMS.53FG.V2S9"
      ]
    },
    {
      "verifier": "doi-org",
      "url": "https://doi.org/api/handles/10.7483%2FOPENDATA.CMS.53FG.V2S9",
      "check": "the handle resolves to a URL (responseCode 1)",
      "leads": [
        "tree:doi:10.7483/OPENDATA.CMS.53FG.V2S9"
      ]
    },
    {
      "verifier": "cern-opendata",
      "url": "https://opendata.cern.ch/api/records/?q=doi:%2210.7483%2FOPENDATA.CMS.53FG.V2S9%22",
      "check": "the record exists and its title matches the reference",
      "leads": [
        "tree:doi:10.7483/OPENDATA.CMS.53FG.V2S9"
      ]
    },
    {
      "verifier": "datacite",
      "url": "https://api.datacite.org/dois/10.7483%2FOPENDATA.CMS.RG9B.XJMD",
      "check": "the DOI resolves; creators name Rouschev, Tsvetan with ORCID 0009-0000-7312-9778",
      "leads": [
        "tree:doi:10.7483/OPENDATA.CMS.RG9B.XJMD"
      ]
    },
    {
      "verifier": "doi-org",
      "url": "https://doi.org/api/handles/10.7483%2FOPENDATA.CMS.RG9B.XJMD",
      "check": "the handle resolves to a URL (responseCode 1)",
      "leads": [
        "tree:doi:10.7483/OPENDATA.CMS.RG9B.XJMD"
      ]
    },
    {
      "verifier": "cern-opendata",
      "url": "https://opendata.cern.ch/api/records/?q=doi:%2210.7483%2FOPENDATA.CMS.RG9B.XJMD%22",
      "check": "the record exists and its title matches the reference",
      "leads": [
        "tree:doi:10.7483/OPENDATA.CMS.RG9B.XJMD"
      ]
    },
    {
      "verifier": "datacite",
      "url": "https://api.datacite.org/dois/10.7483%2FOPENDATA.CMS.I8HN.DF32",
      "check": "the DOI resolves; creators name Rouschev, Tsvetan with ORCID 0009-0000-7312-9778",
      "leads": [
        "tree:doi:10.7483/OPENDATA.CMS.I8HN.DF32"
      ]
    },
    {
      "verifier": "doi-org",
      "url": "https://doi.org/api/handles/10.7483%2FOPENDATA.CMS.I8HN.DF32",
      "check": "the handle resolves to a URL (responseCode 1)",
      "leads": [
        "tree:doi:10.7483/OPENDATA.CMS.I8HN.DF32"
      ]
    },
    {
      "verifier": "cern-opendata",
      "url": "https://opendata.cern.ch/api/records/?q=doi:%2210.7483%2FOPENDATA.CMS.I8HN.DF32%22",
      "check": "the record exists and its title matches the reference",
      "leads": [
        "tree:doi:10.7483/OPENDATA.CMS.I8HN.DF32"
      ]
    },
    {
      "verifier": "datacite",
      "url": "https://api.datacite.org/dois/10.7483%2FOPENDATA.CMS.0LRL.BXG5",
      "check": "the DOI resolves; creators name Rouschev, Tsvetan with ORCID 0009-0000-7312-9778",
      "leads": [
        "tree:doi:10.7483/OPENDATA.CMS.0LRL.BXG5"
      ]
    },
    {
      "verifier": "doi-org",
      "url": "https://doi.org/api/handles/10.7483%2FOPENDATA.CMS.0LRL.BXG5",
      "check": "the handle resolves to a URL (responseCode 1)",
      "leads": [
        "tree:doi:10.7483/OPENDATA.CMS.0LRL.BXG5"
      ]
    },
    {
      "verifier": "cern-opendata",
      "url": "https://opendata.cern.ch/api/records/?q=doi:%2210.7483%2FOPENDATA.CMS.0LRL.BXG5%22",
      "check": "the record exists and its title matches the reference",
      "leads": [
        "tree:doi:10.7483/OPENDATA.CMS.0LRL.BXG5"
      ]
    }
  ]
}

readiness · readiness-plan

Phase one of readiness without measurements: every lead judged (served by its tool, refuted by declaration, or in trial), the sources for the unit, an empty border plan because nothing was discovered, and the unit plan.

{"name":"readiness","arguments":{}}

✓ as expected

readiness · The unit judges the tree. Phase one (verification, discovery, present, ledger): every lead judged by measurement into served, refuted or trial; the sources as the unit's readiness door takes them; the border plan — every discovered door that takes a statement and answers a verdict, with a hand-written theorem filled in; and the unit plan, the calls the client makes. Phase two (plus border answers and unit answers): the border read, and the page. Pure; the client asks the unit.

phase

plan

served

256

refuted

112

trial

2332

borderCalls

0

unitCalls

139

leads

2700

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "phase": "plan",
  "served": 256,
  "refuted": 112,
  "trial": 2332,
  "borderCalls": 0,
  "unitCalls": 139,
  "probe": {
    "key": "clay_sigma",
    "statement": null
  },
  "judged": [
    {
      "lead": "perspective-factorer",
      "source": "src/quantum/algorithms.ts",
      "status": "served",
      "class": "served",
      "by": "tool algorithm"
    },
    {
      "lead": "perspective-reflection",
      "source": "src/quantum/match.ts",
      "status": "served",
      "class": "served",
      "by": "tool match"
    },
    {
      "lead": "perspective-address",
      "source": "src/quantum/blocks.ts",
      "status": "served",
      "class": "served",
      "by": "tool verify"
    },
    {
      "lead": "perspective-clay",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean",
      "status": "served",
      "class": "served",
      "by": "tool clay"
    },
    {
      "lead": "perspective-language",
      "source": "src/quantum/i18n.ts",
      "status": "served",
      "class": "served",
      "by": "tool translate"
    },
    {
      "lead": "perspective-imagination",
      "source": "src/quantum/imagine.ts",
      "status": "served",
      "class": "served",
      "by": "tool imagine"
    },
    {
      "lead": "perspective-discovery",
      "source": "src/quantum/discovery.ts",
      "status": "served",
      "class": "served",
      "by": "tool discover"
    },
    {
      "lead": "perspective-judge",
      "source": "src/quantum/readiness.ts",
      "status": "served",
      "class": "served",
      "by": "tool readiness"
    },
    {
      "lead": "perspective-database",
      "source": "src/quantum/toolboxes/raid.ts",
      "status": "partial",
      "class": "trial",
      "by": "partial: mongo serves part; owes: the language is ported; the adapter on the deployed docket is owed (payload-db-adapter-docket)"
    },
    {
      "lead": "perspective-harmonic",
      "source": "src/quantum/theme.ts",
      "status": "partial",
      "class": "trial",
      "by": "partial: audit serves part; owes: the theme rides on every block and the audit checks the block; a door that answers the css alone is the unit's get_css, not yet served here"
    },
    {
      "lead": "perspective-tenants",
      "source": "src/worker.ts",
      "status": "partial",
      "class": "trial",
      "by": "partial: audit serves part; owes: deployed and measured live on 2026-10-25 (three hosts, roles, collision as a procedure); the roles move to a Payload MCP plugin over MCP (rbac-payload-mcp) and the tenant secrets stay as the fallback"
    },
    {
      "lead": "perspective-court",
      "source": "uuidna.com/mcp check_release_readiness; uuidna.com/mcp sign_commit",
      "status": "partial",
      "class": "trial",
      "by": "partial: readiness serves part; owes: readiness and signing are wired; qpu's own proofs are not citable at the border (gap-theorems-unsealed)"
    },
    {
      "lead": "qpu-balancer-perspective",
      "source": "src/quantum/mcp.ts",
      "status": "served",
      "class": "served",
      "by": "tool audit"
    },
    {
      "lead": "raid-virtualizes-os",
      "source": "uuidna.com/mcp get_os; uuidna.com/mcp get_port; uuidna.com/mcp fetch_alpine; uuidna.com/mcp get_shell",
      "status": "open",
      "class": "trial",
      "by": "inspiration recorded on 2026-10-25; the unit already serves os, port, alpine and shell doors (found by discovery, read by capability), so the first measurement is a qpu app that reads an Alpine package list through those doors and stores it as docket entries; nothing of this is assumed, each step is a lead until served"
    },
    {
      "lead": "payload-port-cloudflare",
      "source": "github.com/payloadcms/payload/tree/main/templates; developers.cloudflare.com/workers/runtime-apis/nodejs",
      "status": "open",
      "class": "trial",
      "by": "inspiration recorded on 2026-10-25; the two sources are fetched by the wave each run so the templates directory and the Workers Node.js compatibility page are measured, not assumed; the port itself is the author's act on a deployed Worker and docket"
    },
    {
      "lead": "payload-db-adapter-docket",
      "source": "github.com/payloadcms/payload/tree/main/packages/db-mongodb",
      "status": "partial",
      "class": "trial",
      "by": "partial: mongo serves part; owes: the query and update language is ported and tested by the raid toolbox's selftest and examples (find, insert, update, delete with $set, $unset, $inc, $push, $pull); the adapter class itself, binding Payload's interface (read from the source fetched each run) to the docket's four verbs on the deployed Worker, is the next step"
    },
    {
      "lead": "payload-mcp-plugin-doors",
      "source": "github.com/payloadcms/payload/tree/main/packages",
      "status": "open",
      "class": "trial",
      "by": "the packages directory is fetched each run; whether a plugin-mcp package exists is read from it, never assumed; a named host is the measurement that opens this lead"
    },
    {
      "lead": "toolbox-remaining-scripts",
      "source": "scripts/purify.ts, scripts/publish.ts, scripts/next.ts, scripts/gen-docs.ts, scripts/gen-clay.ts, scripts/audit.ts, scripts/theorems.lean",
      "status": "partial",
      "class": "trial",
      "by": "partial: audit serves part; owes: the pure halves (purity checks over texts, the receipt chain, the docket entries, the pages) are the next toolboxes; their clients hand in the file texts, the git facts and the ledger rows the same way the flow clients hand in fetched bodies"
    },
    {
      "lead": "worlds-linked",
      "source": "src/quantum/toolboxes/language.ts; src/worker.ts",
      "status": "partial",
      "class": "trial",
      "by": "partial: translate serves part; owes: the vocabulary translates both ways and prose is programmed per locale; two tenants exist; a world's dialect is one more table (LOCALES marks the unfilled ones), and the relations between worlds are docket links the raid toolbox already keeps; the tables beyond Bulgarian are the leads to fill"
    },
    {
      "lead": "language-speech",
      "source": "docs/.vitepress/theme/components/Speak.vue",
      "status": "partial",
      "class": "trial",
      "by": "partial: prose serves part; owes: the Speak component reads the prose tool's sentences aloud in the locale through the browser's speech synthesis where the device has a voice for it; which voices a device has is the device's, measured at run time and reported on the page; no server speaks"
    },
    {
      "lead": "language-video",
      "source": "the docket contract",
      "status": "open",
      "class": "trial",
      "by": "imagined on 2026-10-25; the entry shape is the raid toolbox's; a transcript source (a device, a person, a model the tenant brings) is the first adaptor to name; nothing here is a model"
    },
    {
      "lead": "language-traditions",
      "source": "src/quantum/i18n.ts MIRROR",
      "status": "open",
      "class": "trial",
      "by": "the matcher's mirror synonyms are the first relation table; Glagolitic numerals the first tradition; a per-locale relations table is the lead, filled by a person of that world, never guessed"
    },
    {
      "lead": "legal-audit-sealed",
      "source": "src/quantum/toolboxes/legal.ts; scripts/legal.ts",
      "status": "served",
      "class": "served",
      "by": "tool legal"
    },
    {
      "lead": "unit-licence-address-unsealed",
      "source": "uuidna.com/mcp get_rights; uuidna.com/mcp compute_forensics",
      "status": "blocked",
      "class": "trial",
      "by": "measured on 2026-10-25 by the legal audit; this tree carries the address the rights door gives and cites the rights receipt beside it; the disagreement is the unit's to settle"
    },
    {
      "lead": "aspects-by-theorems",
      "source": "src/quantum/processing/unit/lean/Qpu",
      "status": "open",
      "class": "trial",
      "by": "one example names its theorem today (clay-relation-15 → relation_15) and the audit counts them; the invariants of the toolboxes are measured by their selftests; stating them in Lean over the ported definitions (hmac, entries, roles) is the lead; a theorem replaces its check the day the kernel accepts it"
    },
    {
      "lead": "stripe-per-tenant",
      "source": "src/quantum/toolboxes/billing.ts; src/worker.ts",
      "status": "partial",
      "class": "trial",
      "by": "partial: stripe serves part; owes: the toolbox and the Worker routes are measured by the billing selftest and the worker tests; no tenant has STRIPE_SECRET_KEY_<TENANT> or STRIPE_WEBHOOK_SECRET_<TENANT> set yet, so every live plan is returned with its procedure and every live webhook answers 503 until the author sets the two secrets per tenant and registers https://<host>/docket/stripe at Stripe"
    },
    {
      "lead": "edge-heavy-phases",
      "source": "src/worker.ts; qpu.psg.bg/mcp",
      "status": "partial",
      "class": "trial",
      "by": "partial: textbook serves part; owes: measured on 2026-10-25 after the deploy; the textbook tool takes example: <id> with verify so a device walks the textbook within the edge's budget; the flow's client runs the whole wave locally; the balancer keeps a warm isolate's answers but a cold one recomputes"
    },
    {
      "lead": "vortex-digital-root",
      "source": "oeis.org A010888; en.wikipedia.org/wiki/Digital_root",
      "status": "served",
      "class": "served",
      "by": "tool verify"
    },
    {
      "lead": "coins-accounted",
      "source": "uuidna.com/mcp get_coin_ledger; uuidna.com/mcp get_fibonacci; src/quantum/coins.ts",
      "status": "served",
      "class": "served",
      "by": "tool metrics"
    },
    {
      "lead": "metaphysical-apis",
      "source": "uuidna.com/mcp get_vortex; uuidna.com/mcp get_vortex_reflection; uuidna.com/mcp get_units; uuidna.com/mcp get_triad; uuidna.com/mcp compute_double_torus; uuidna.com/mcp get_pentagram; uuidna.com/mcp get_fibonacci",
      "status": "served",
      "class": "served",
      "by": "tool discover"
    },
    {
      "lead": "unit-triad-one-sided",
      "source": "uuidna.com/mcp get_triad; src/quantum/processing/unit/lean/Qpu/Sigma.lean",
      "status": "blocked",
      "class": "trial",
      "by": "measured on 2026-10-25 through the connector; the unit's door is the unit's to widen; here every vortex reading and every block's CSS carry the seed, its reflection and both trinities"
    },
    {
      "lead": "double-torus-trinities",
      "source": "uuidna.com/mcp get_triad; uuidna.com/mcp compute_double_torus; src/quantum/processing/unit/lean/Qpu/Shor.lean; src/quantum/processing/unit/lean/Qpu/Sigma.lean",
      "status": "open",
      "class": "trial",
      "by": "recorded on 2026-10-25 as the author's idea, not a claim: measured today, the reflection factors only N ≤ 21 and says so for 91, 1001 and 2^32 + 1; the unit's triad door answers [3, 6, 9] and its double-torus door takes addresses (the tree's addresses are the next input); the kernel-accepted theorems shor, all_shor, shor_sigma and sigma_reflect relate a period, the coins and the σ-involution and are the binary level to build from; nothing beyond them is stated until the kernel accepts it"
    },
    {
      "lead": "unit-missions-are-its-own",
      "source": "uuidna.com/mcp get_missions; uuidna.com/mcp predict_gaps",
      "status": "blocked",
      "class": "trial",
      "by": "measured on 2026-10-25 through the connector; the missions door answers 2 MB that no isolate should carry per call; a mission that names qpu would be this tree's to follow"
    },
    {
      "lead": "rbac-payload-mcp",
      "source": "src/worker.ts roleAt; payloadcms.com",
      "status": "partial",
      "class": "trial",
      "by": "partial: audit serves part; owes: the door is wired and tested (roleAt, QPU_RBAC_MCP, QPU_RBAC_TOOL; discovery lists rbac doors as a capability: token in, role out); no Payload MCP host exists yet, so every live role today comes from the tenant secrets and every answer says so (rolesBy)"
    },
    {
      "lead": "payload-cms-host",
      "source": "payloadcms.com",
      "status": "open",
      "class": "trial",
      "by": "no Payload host is named in this tree; the discover tool takes any MCP endpoint in mcpHosts and reads its doors by capability, so the adapter is built from discovery the day a host is named, not from documentation"
    },
    {
      "lead": "payload-cms-default-plugins",
      "source": "payloadcms.com",
      "status": "open",
      "class": "trial",
      "by": "imagined on 2026-10-25, strict: no custom collection; the default plugins (nested-docs, seo, form-builder, redirects, search, cloud-storage, import-export) in every combination are the configuration a Payload MCP host exposes, and the discover tool reads it; measurable only against a running instance: discover it, read its doors, then write the toolbox from what it answers"
    },
    {
      "lead": "cleanup-auto-release-script",
      "source": "scripts/auto-release.ts (untracked, orphan lineage)",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "measured absent: scripts/auto-release.ts"
    },
    {
      "lead": "cleanup-next-build-dir",
      "source": ".next/ (untracked, 8 KB here)",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "measured absent: .next"
    },
    {
      "lead": "cleanup-stale-branches",
      "source": "git branches snapshot/pre-purge, purge/google-only",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "measured absent: snapshot/pre-purge, purge/google-only"
    },
    {
      "lead": "cleanup-census-consolidated",
      "source": "scripts/census.lean",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "measured absent: scripts/census.lean"
    },
    {
      "lead": "cleanup-fnv1a-consolidated",
      "source": "src/quantum/blocks.ts",
      "status": "served",
      "class": "served",
      "by": "tool verify"
    },
    {
      "lead": "human-device-blocks",
      "source": "src/quantum/blocks.ts, src/quantum/widgets.ts",
      "status": "served",
      "class": "served",
      "by": "tool audit"
    },
    {
      "lead": "mcp-ui-extension",
      "source": "modelcontextprotocol.io (MCP Apps / UI extension)",
      "status": "partial",
      "class": "trial",
      "by": "partial: audit serves part; owes: the html and block are served; the extension's declared resource scheme and the host handshake are not implemented here, and the specification is still moving"
    },
    {
      "lead": "iot-adapter-cluster",
      "source": "the docket contract (src/worker.ts)",
      "status": "open",
      "class": "trial",
      "by": "the docket accepts such entries today; no device driver, firmware or edge gateway is in this tree; the first device, its reading schema and its verifier are the next leads"
    },
    {
      "lead": "device-reading-verifier",
      "source": "src/quantum/verifiers.ts",
      "status": "open",
      "class": "trial",
      "by": "no reading kind is registered yet; add the fact kind and its free verifier with the first device"
    },
    {
      "lead": "accessibility-device",
      "source": "the human-device lead",
      "status": "served",
      "class": "served",
      "by": "tool audit"
    },
    {
      "lead": "pliska-rosette-rays",
      "source": "the Pliska rosette (bronze, seven rays with signs, IYI on the back; Pliska, found 1961, First Bulgarian Empire)",
      "status": "served",
      "class": "served",
      "by": "tool clay"
    },
    {
      "lead": "glagolitic-numerals",
      "source": "en.wikipedia.org/wiki/Glagolitic_numerals; the Glagolitic alphabet (c. 863): letters carry numeral values in alphabetical order, 1..9, 10..90, 100..1000",
      "status": "served",
      "class": "served",
      "by": "tool match"
    },
    {
      "lead": "glagolitic-above-thousand",
      "source": "en.wikipedia.org/wiki/Glagolitic_numerals",
      "status": "open",
      "class": "trial",
      "by": "not in the table; the sources disagree on the later letters, so the table stops where they agree"
    },
    {
      "lead": "gap-fanout-receiver",
      "source": "uuidna.com/mcp list_hosts, call_host",
      "status": "blocked",
      "class": "trial",
      "by": "re-measured on 2026-10-25 after the deploy: https://qpu.uuidna.com/mcp answers tools/list with 25 tools to any HTTP client, yet the unit's uuidna_fanout to the same host answers HTTP 404 with a body ({\"available\":[\"/\",\"/health\"]}) that no code in this tree produces: the unit's fan-out does not reach the public host; the receiver is live, the sender's route is the lead, on the unit's side"
    },
    {
      "lead": "gap-shared-docket",
      "source": "src/worker.ts (docket)",
      "status": "partial",
      "class": "trial",
      "by": "partial: mongo serves part; owes: deployed on 2026-10-25: one Worker (qpu.ceci.workers.dev, qpu.uuidna.com, qpu.psg.bg), a docket per tenant, measured live — a writer entry stored at uuidna (fb4d7917-dd72-8313-bf20-7843b7a82bd3), psg empty and separate, reader refused, a cross-tenant token answered 403 as a procedure; the unit does not yet write to it and publish lands this tree's artefacts from the next run"
    },
    {
      "lead": "gap-time-witness",
      "source": "receipts.ndjson, the unit's receipts",
      "status": "open",
      "class": "trial",
      "by": "wired on 2026-10-25: prepare-commit-msg sends the message with its Receipt trailer to the unit's sign_commit, so the unit's fold dates the receipt as a Signed-by-unit trailer when the hosted door answers (it answers HTTP 500 today: lead gap-sign-door-hosted); the unit does not yet read qpu's stream itself, and an offline commit is unsigned and says so"
    },
    {
      "lead": "gap-sign-door-hosted",
      "source": "uuidna.com/mcp sign_commit",
      "status": "blocked",
      "class": "trial",
      "by": "measured on 2026-10-25 with four argument shapes and a session; the same HTTP 500 answers compute_forensics and verify_claim over raw HTTP when the statement cites a sealed theorem, while uncited statements answer: every door that must open the ledger throws at the edge; the hook records the status in its Signed-by-unit trailer and the connector signature is carried in the message by hand until the door answers"
    },
    {
      "lead": "gap-theorems-unsealed",
      "source": "uuidna.com/mcp sign_commit",
      "status": "blocked",
      "class": "trial",
      "by": "measured on 2026-10-25 at six doors with clay_sigma and its exact statement: deposit_trial, verify_statement, try_claim, decide_expression and run_trial refuse at the edge (\"the edge does not hold the whole ledger: 40 MB of rows does not fit a 128 MB isolate\", the unit's own documented example included), through the connector and over raw HTTP alike; prove_verdict and verify_claim answer UNVERIFIED with a receipt (no decidable test and no sealed citation at the border; the unit's adjudicate takes an in-process predicate). Readiness offers the theorem to every door the discover step finds that takes a statement and answers a verdict (chosen by capability from discovery.json, never by name) and records what comes back, so the lead closes itself when a door seals it; the ledger is written here as docs/public/theorems.ndjson"
    },
    {
      "lead": "gap-circuit-crossing",
      "source": "uuidna.com/mcp get_quantum; this tree's circuit tool",
      "status": "open",
      "class": "trial",
      "by": "a format translation between the two circuit shapes is the lead; the comparison is then one tools/call each way"
    },
    {
      "lead": "gap-mcp-referer",
      "source": "src/quantum/mcp.ts",
      "status": "served",
      "class": "served",
      "by": "tool verify"
    },
    {
      "lead": "gap-verdict-vocabulary",
      "source": "src/quantum/match.ts VERDICTS",
      "status": "served",
      "class": "served",
      "by": "tool match"
    },
    {
      "lead": "address-agreement",
      "source": "uuidna.com/mcp compute_address",
      "status": "partial",
      "class": "trial",
      "by": "partial: audit serves part; owes: the readiness step records the agreement each run; until the door's builder is published or the unit adopts shapeUuidOf for the door, the two addresses are both carried and neither is claimed to be the other"
    },
    {
      "lead": "pravets-8m-recompute",
      "source": "statement",
      "status": "partial",
      "class": "trial",
      "by": "partial: clay serves part; owes: the kernel check, the census and the recompute with its limb count run here (clay tool: maxBits 33, maxLimbs16 3); the 16-bit-limb recomputer itself and the receipt-chain comparison on an 8-bit machine are not yet in this tree"
    },
    {
      "lead": "qpu-extends-every-mcp",
      "source": "https://qpu.uuidna.com/mcp",
      "status": "served",
      "class": "served",
      "by": "tool extend"
    },
    {
      "lead": "e2e-textbook-verify-edge",
      "source": "https://qpu.ceci.workers.dev/mcp textbook { verify: true }",
      "status": "open",
      "class": "trial",
      "by": "the textbook verify wave at the edge is a quantum to split: one example per request, or the docket holding the wave between requests; until then the gate decodes the combination from the tree alone and names the erasure"
    },
    {
      "lead": "coins-set-entanglement-teleport-free",
      "source": "docs/public/e2e.json, docs/public/coins.ndjson, the balancer",
      "status": "served",
      "class": "served",
      "by": "tool metrics"
    },
    {
      "lead": "digits-zero-to-nine-all-used",
      "source": "src/quantum/processing/unit/lean/Qpu/Sigma.lean sigma_ten_involution",
      "status": "served",
      "class": "served",
      "by": "tool css"
    },
    {
      "lead": "versions-define-development",
      "source": "package.json → src/quantum/version.ts; configure { kind: versions | migration }; the e2e gate's versions per host",
      "status": "served",
      "class": "served",
      "by": "tool configure"
    },
    {
      "lead": "unit-predict-gaps-door-edge",
      "source": "uuidna.com/mcp predict_gaps { likelihood: \"all\" }",
      "status": "blocked",
      "class": "trial",
      "by": "the unit's door, not this tree's: the author makes it host-agnostic; discovery will read it on the next run"
    },
    {
      "lead": "flow-waves-multitasking",
      "source": "scripts/next.ts, docs/public/receipt.json (wallMs, sumMs, speedup)",
      "status": "served",
      "class": "served",
      "by": "tool metrics"
    },
    {
      "lead": "flow-teleportation-signalling",
      "source": "scripts/next.ts; src/quantum/mcp.ts BALANCER",
      "status": "served",
      "class": "served",
      "by": "tool metrics"
    },
    {
      "lead": "github-mcp-integrated",
      "source": "https://api.githubcopilot.com/mcp/ (answers 401 without a token, 2026-10-25)",
      "status": "partial",
      "class": "trial",
      "by": "partial: repository serves part; owes: the token is the tenant's to set (a fine-grained PAT or the OAuth flow); the selftest proves the doors on fixtures, the live doors answer 401 until then"
    },
    {
      "lead": "cloudflare-mcps-integrated",
      "source": "https://docs.mcp.cloudflare.com/mcp and seven servers answering 401 (2026-10-25)",
      "status": "partial",
      "class": "trial",
      "by": "partial: extend serves part; owes: seven tokens are the tenant's to set; the mapped doors are read by discovery on the run after"
    },
    {
      "lead": "unit-quantum-advantage-door-edge",
      "source": "uuidna.com/mcp get_quantum_advantage, bill_call (2026-10-25)",
      "status": "partial",
      "class": "trial",
      "by": "partial: metrics serves part; owes: the whole door stays the author's to split into pieces the edge can hold; the piece answers now, and nothing is blocked"
    },
    {
      "lead": "nist-pqc-standards",
      "source": "https://csrc.nist.gov/projects/post-quantum-cryptography",
      "status": "served",
      "class": "served",
      "by": "tool seal"
    },
    {
      "lead": "pqc-signature-over-folds",
      "source": "src/quantum/toolboxes/crypto.ts seal; https://csrc.nist.gov/pubs/fips/204/final",
      "status": "open",
      "class": "trial",
      "by": "a pure ML-DSA or SLH-DSA in this tree (no Node, no host) is a port of its own; until then the unit's sign_commit signs by citation and this tree seals by hash"
    },
    {
      "lead": "payload-skills-used",
      "source": "https://github.com/payloadcms/skills (tree read 2026-10-25: 24 entries, 2 skills, 12 references)",
      "status": "served",
      "class": "served",
      "by": "tool payload"
    },
    {
      "lead": "leads-discover-related-mcps",
      "source": "https://registry.modelcontextprotocol.io/v0/servers (probed 2026-10-25: payload 5, github 5, cloudflare 5 servers; post-quantum 0)",
      "status": "served",
      "class": "served",
      "by": "tool discover"
    },
    {
      "lead": "payload-website-reference",
      "source": "https://github.com/payloadcms/website (MIT; tree read 2026-10-25: 1,949 entries) and https://payloadcms.com/api/pages",
      "status": "served",
      "class": "served",
      "by": "tool payload"
    },
    {
      "lead": "qpu-fullstack-on-payload-website",
      "source": "https://github.com/payloadcms/website (MIT) forked into site/ on 2026-10-25; configure { kind: fullstack }; fullstack/",
      "status": "partial",
      "class": "trial",
      "by": "partial: configure serves part; owes: the fork typechecks with the qpu block, the tenants collection, search and multi-tenant, and rewrites any UUID path to the Worker (no prefix: the catch-all makes prefixes useless); measured on 2026-10-25: after its preview-styles step and with placeholder values, next build compiles in 59 s and generates its 52 static pages without a database; only payload migrate and generate:llms need DATABASE_URI, and the deploy is the tenant's act; the old site is removed only after the gate decodes the app's pages as copies of the Worker's (the migration law: deploy beside, decode, route, then remove), never by a cut-over"
    },
    {
      "lead": "old-site-removal-gated",
      "source": "docs/ (VitePress), site/ (the fork), the e2e gate",
      "status": "open",
      "class": "trial",
      "by": "a cut-over before the gate agrees would break the live pages; the removal is the last step of the migration configure { kind: migration } names, and the app does not run yet"
    },
    {
      "lead": "fork-licence-layering",
      "source": "site/LICENSE (MIT, Payload), site/NOTICE.qpu.md, src/quantum/license.ts",
      "status": "served",
      "class": "served",
      "by": "tool configure"
    },
    {
      "lead": "unit-due-process-2026-10-25",
      "source": "uuidna.com/mcp get_due_process (through the connector, 2026-10-25)",
      "status": "served",
      "class": "served",
      "by": "tool legal"
    },
    {
      "lead": "textbook-axioms-replaced-by-theorems",
      "source": "src/quantum/textbook-theorems.ts → Qpu/Textbook.lean; src/quantum/examples.ts",
      "status": "served",
      "class": "served",
      "by": "tool textbook"
    },
    {
      "lead": "textbook-theorems-via-payload-mcp",
      "source": "payloadcms.com/docs/plugins/mcp (read 2026-10-25): POST /api/mcp, Authorization: <authCollectionSlug> API-Key <key>; payload { theorems }",
      "status": "partial",
      "class": "trial",
      "by": "partial: payload serves part; owes: the tenant's Payload instance with the MCP plugin and a user API key (QPU_PAYLOAD_URL, QPU_PAYLOAD_API_KEY) are the tenant's to bring; the textbook step sends the calls once they are named"
    },
    {
      "lead": "claude-api-fused",
      "source": "https://platform.claude.com/docs/en/api/overview (read 2026-10-25); https://api.anthropic.com/v1/models answers 401 without a key",
      "status": "partial",
      "class": "trial",
      "by": "partial: extend serves part; owes: the key (ANTHROPIC_API_KEY per tenant) is the tenant's to set; the registration and the plan stand, proven on the documented shapes by the selftests"
    },
    {
      "lead": "willow-spec",
      "source": "quantumai.google/static/site-assets/downloads/willow-spec-sheet.pdf",
      "status": "served",
      "class": "served",
      "by": "tool processor"
    },
    {
      "lead": "willow-blog",
      "source": "blog.google, Willow",
      "status": "served",
      "class": "served",
      "by": "tool processor"
    },
    {
      "lead": "magic-state",
      "source": "blog.google, magic state cultivation",
      "status": "served",
      "class": "served",
      "by": "tool processor"
    },
    {
      "lead": "echoes-blog",
      "source": "blog.google, Quantum Echoes",
      "status": "served",
      "class": "served",
      "by": "tool echo_benchmark"
    },
    {
      "lead": "echoes-preprint",
      "source": "arXiv 2506.10191",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "echoes-protocol",
      "source": "research.google/blog/a-verifiable-quantum-advantage",
      "status": "served",
      "class": "served",
      "by": "tool echo"
    },
    {
      "lead": "roadmap",
      "source": "services.google.com PDF, roadmap figure; quantumai.google/roadmap",
      "status": "served",
      "class": "served",
      "by": "tool roadmap"
    },
    {
      "lead": "applications",
      "source": "services.google.com PDF, applications figure",
      "status": "served",
      "class": "served",
      "by": "tool roadmap"
    },
    {
      "lead": "neutral-atoms",
      "source": "blog.google, neutral atom quantum computers",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "early-access",
      "source": "quantumai.google/willowearlyaccess",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "software",
      "source": "quantumai.google/software",
      "status": "served",
      "class": "served",
      "by": "tool software"
    },
    {
      "lead": "cirq-overview",
      "source": "quantumai.google/cirq",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "cirq-circuits",
      "source": "quantumai.google/cirq/build/circuits",
      "status": "served",
      "class": "served",
      "by": "tool circuit"
    },
    {
      "lead": "cirq-devices",
      "source": "quantumai.google/cirq/hardware/devices",
      "status": "served",
      "class": "served",
      "by": "tool circuit"
    },
    {
      "lead": "cirq-simulation",
      "source": "quantumai.google/cirq/simulate/simulation",
      "status": "served",
      "class": "served",
      "by": "tool circuit"
    },
    {
      "lead": "cirq-noise",
      "source": "quantumai.google/cirq/simulate/noisy_simulation",
      "status": "served",
      "class": "served",
      "by": "tool circuit"
    },
    {
      "lead": "qvm",
      "source": "quantumai.google/cirq/simulate/quantum_virtual_machine; github.com/quantumlib/Cirq engine source; the Willow spec sheet",
      "status": "served",
      "class": "served",
      "by": "tool circuit"
    },
    {
      "lead": "textbook-algorithms",
      "source": "quantumai.google/cirq/experiments/textbook_algorithms",
      "status": "served",
      "class": "served",
      "by": "tool algorithm"
    },
    {
      "lead": "qaoa",
      "source": "quantumai.google/cirq/experiments/qaoa/qaoa_maxcut; github.com/quantumlib/Cirq",
      "status": "served",
      "class": "served",
      "by": "tool algorithm"
    },
    {
      "lead": "shor",
      "source": "quantumai.google/cirq/experiments/textbook_algorithms; quantumai.google/cirq/experiments/shor",
      "status": "served",
      "class": "served",
      "by": "tool algorithm"
    },
    {
      "lead": "qsim",
      "source": "github.com/quantumlib/qsim; quantumai.google/qsim",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "research",
      "source": "quantumai.google/research (quantumai.google/research/publications returns 404)",
      "status": "partial",
      "class": "trial",
      "by": "partial: statements serves part; owes: on 2026-10-25 quantumai.google/research returned HTTP 200 with the title \"Research Publications\" and the site description, which the research statement serves; its publication list is rendered by script and is not in the fetched HTML; research/publications returned HTTP 404"
    },
    {
      "lead": "echoes-nature",
      "source": "arXiv 2506.10191, Constructive interference at the edge of quantum ergodic dynamics (published in Nature as Observation of constructive interference at the edge of quantum ergodicity)",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "willow-nature",
      "source": "arXiv 2408.13687, Quantum error correction below the surface code threshold (the paper the homepage links as Nature)",
      "status": "served",
      "class": "served",
      "by": "tool processor"
    },
    {
      "lead": "learn-map",
      "source": "quantumai.google/learn/map",
      "status": "partial",
      "class": "trial",
      "by": "partial: statements serves part; owes: on 2026-10-25 the page returned HTTP 200 (it was 404 to the earlier fetch) with its title and description, which the learn_map statement serves; the journey itself is an interactive map in a frame from dreamcoat-guggenheim.uc.r.appspot.com, whose text is not in the fetched HTML"
    },
    {
      "lead": "campus-announcement",
      "source": "blog.google, Unveiling our new Quantum AI campus (May 18, 2021)",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "sycamore-gates",
      "source": "quantumai.google/cirq/google/devices",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "sycamore23",
      "source": "github.com/quantumlib/Cirq known_devices.py",
      "status": "served",
      "class": "served",
      "by": "tool processor"
    },
    {
      "lead": "qualtran",
      "source": "github.com/quantumlib/Qualtran; quantumai.google/qualtran",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "openfermion",
      "source": "github.com/quantumlib/OpenFermion; quantumai.google/openfermion",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "cirq-noise-source",
      "source": "github.com/quantumlib/Cirq cirq-core/cirq/ops/common_channels.py",
      "status": "served",
      "class": "served",
      "by": "tool circuit"
    },
    {
      "lead": "cirq-insert-source",
      "source": "github.com/quantumlib/Cirq cirq-core/cirq/circuits/insert_strategy.py",
      "status": "served",
      "class": "served",
      "by": "tool circuit"
    },
    {
      "lead": "repo-cirq",
      "source": "github.com/quantumlib/Cirq",
      "status": "served",
      "class": "served",
      "by": "tool repositories"
    },
    {
      "lead": "repo-stim",
      "source": "github.com/quantumlib/Stim",
      "status": "served",
      "class": "served",
      "by": "tool repositories"
    },
    {
      "lead": "repo-chromobius",
      "source": "github.com/quantumlib/chromobius",
      "status": "served",
      "class": "served",
      "by": "tool repositories"
    },
    {
      "lead": "repo-qualtran",
      "source": "github.com/quantumlib/Qualtran",
      "status": "served",
      "class": "served",
      "by": "tool repositories"
    },
    {
      "lead": "repo-tesseract-decoder",
      "source": "github.com/quantumlib/tesseract-decoder",
      "status": "served",
      "class": "served",
      "by": "tool repositories"
    },
    {
      "lead": "repo-openfermion-pyscf",
      "source": "github.com/quantumlib/OpenFermion-PySCF",
      "status": "served",
      "class": "served",
      "by": "tool repositories"
    },
    {
      "lead": "repo-openfermion-fqe",
      "source": "github.com/quantumlib/OpenFermion-FQE",
      "status": "served",
      "class": "served",
      "by": "tool repositories"
    },
    {
      "lead": "repo-qsim",
      "source": "github.com/quantumlib/qsim",
      "status": "served",
      "class": "served",
      "by": "tool repositories"
    },
    {
      "lead": "repo-openfermion",
      "source": "github.com/quantumlib/OpenFermion",
      "status": "served",
      "class": "served",
      "by": "tool repositories"
    },
    {
      "lead": "repo-unitary",
      "source": "github.com/quantumlib/unitary",
      "status": "served",
      "class": "served",
      "by": "tool repositories"
    },
    {
      "lead": "repo-recirq",
      "source": "github.com/quantumlib/ReCirq",
      "status": "served",
      "class": "served",
      "by": "tool repositories"
    },
    {
      "lead": "repo-typedunits",
      "source": "github.com/quantumlib/TypedUnits",
      "status": "served",
      "class": "served",
      "by": "tool repositories"
    },
    {
      "lead": "repo-openfermion-psi4",
      "source": "github.com/quantumlib/OpenFermion-Psi4",
      "status": "served",
      "class": "served",
      "by": "tool repositories"
    },
    {
      "lead": "repo-qchack-2021-challenge",
      "source": "github.com/quantumlib/qchack-2021-challenge",
      "status": "served",
      "class": "served",
      "by": "tool repositories"
    },
    {
      "lead": "repo-openfermion-cirq",
      "source": "github.com/quantumlib/OpenFermion-Cirq",
      "status": "served",
      "class": "served",
      "by": "tool repositories"
    },
    {
      "lead": "repo-github",
      "source": "github.com/quantumlib/.github",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: fetched on 2026-10-25: the repository has no description and holds the organization profile, .markdownlintrc and CODE_OF_CONDUCT.md; configuration for the quantumlib repositories, not a library or a result"
    },
    {
      "lead": "repo-allstar",
      "source": "github.com/quantumlib/.allstar",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: fetched on 2026-10-25: a public archive holding allstar.yaml, binary_artifacts.yaml and branch_protection.yaml, described as the default Allstar configuration that points to google/allstar-config; security policy for the repositories, not a library or a result"
    },
    {
      "lead": "cirq-pauli",
      "source": "quantumai.google/cirq/build/pauli_observables",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "cirq-noise-representation",
      "source": "quantumai.google/cirq/noise/representing_noise",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "cirq-histograms",
      "source": "quantumai.google/cirq/simulate/state_histograms",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "cirq-transformers",
      "source": "quantumai.google/cirq/transform/transformers",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "cirq-custom-transformers",
      "source": "quantumai.google/cirq/transform/custom_transformers",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "cirq-kpz",
      "source": "quantumai.google/cirq/experiments/kpz/kpz",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "cirq-echoes-tutorial",
      "source": "quantumai.google/cirq/tutorials/google/echoes",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "cirq-qcqmc",
      "source": "quantumai.google/cirq/experiments/qcqmc/full_workflow",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "cirq-hfvqe",
      "source": "quantumai.google/cirq/experiments/hfvqe/quickstart",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "cirq-hardware-changes",
      "source": "quantumai.google/cirq/tutorials/google/identifying_hardware_changes",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "cirq-google-concepts",
      "source": "quantumai.google/cirq/google/concepts",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "qsim-hardware",
      "source": "quantumai.google/qsim/choose_hw",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "openfermion-projects",
      "source": "quantumai.google/openfermion/projects",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "cirq-basics",
      "source": "quantumai.google/cirq/start/basics",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "qsimcirq-tutorial",
      "source": "quantumai.google/qsim/tutorials/qsimcirq",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "openfermion-basis-change",
      "source": "quantumai.google/openfermion/tutorials/circuits_1_basis_change",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "sitemap",
      "source": "quantumai.google/sitemap.xml and sitemap_0_of_1.xml",
      "status": "served",
      "class": "served",
      "by": "tool leads"
    },
    {
      "lead": "learn",
      "source": "quantumai.google/learn",
      "status": "blocked",
      "class": "trial",
      "by": "the path is not in the sitemap and returned HTTP 404 on 2026-10-25; its children learn/map and learn/lab are in the sitemap and are served"
    },
    {
      "lead": "lab",
      "source": "quantumai.google/lab",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "sycamore",
      "source": "quantumai.google/cirq/google/devices, printed diagram; github.com/quantumlib/Cirq known_devices.py",
      "status": "served",
      "class": "served",
      "by": "tool processor"
    },
    {
      "lead": "quantum-computer",
      "source": "quantumai.google/quantumcomputer",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "what-is-qc",
      "source": "quantumai.google/whatisqc; quantumai.google/site-assets/downloads/what-is-quantum-computing.pdf",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "progress-pdf",
      "source": "services.google.com PDF, progress",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "vision-pdf",
      "source": "services.google.com PDF, vision",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "responsibility-pdf",
      "source": "services.google.com PDF, responsibilities",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "coursera",
      "source": "coursera.org/learn/quantum-error-correction, as quantumai.google/resources describes it",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "videos",
      "source": "youtube.com/c/QuantumAI, as quantumai.google/resources describes it",
      "status": "partial",
      "class": "trial",
      "by": "partial: statements serves part; owes: the Resources page's description of the videos is served as the resources statement; the videos themselves are not text and are not carried"
    },
    {
      "lead": "careers",
      "source": "google.com/about/careers, the Careers link of quantumai.google (quantumai.google/careers returns 404)",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: the site's Careers link targets Google's job search filtered to quantum in California, Munich, Seattle and Zurich; quantumai.google/careers returned HTTP 404 on 2026-10-25; a jobs listing, not technical content"
    },
    {
      "lead": "qpu-quantumlib",
      "source": "github.com/quantumlib",
      "status": "served",
      "class": "served",
      "by": "tool quantumlib"
    },
    {
      "lead": "cirq-framework",
      "source": "github.com/quantumlib/Cirq",
      "status": "served",
      "class": "served",
      "by": "tool quantumlib"
    },
    {
      "lead": "qsim-simulator",
      "source": "github.com/quantumlib/qsim",
      "status": "served",
      "class": "served",
      "by": "tool quantumlib"
    },
    {
      "lead": "qualtran-algorithms",
      "source": "github.com/quantumlib/Qualtran",
      "status": "served",
      "class": "served",
      "by": "tool quantumlib"
    },
    {
      "lead": "openfermion-simulation",
      "source": "github.com/quantumlib/OpenFermion",
      "status": "served",
      "class": "served",
      "by": "tool quantumlib"
    },
    {
      "lead": "stim-stabilizer",
      "source": "github.com/quantumlib/Stim",
      "status": "served",
      "class": "served",
      "by": "tool quantumlib"
    },
    {
      "lead": "chromobius-decoder",
      "source": "github.com/quantumlib/chromobius",
      "status": "served",
      "class": "served",
      "by": "tool quantumlib"
    },
    {
      "lead": "recirq-experiments",
      "source": "github.com/quantumlib/ReCirq",
      "status": "served",
      "class": "served",
      "by": "tool quantumlib"
    },
    {
      "lead": "tesseract-qec-decoder",
      "source": "github.com/quantumlib/tesseract-decoder",
      "status": "served",
      "class": "served",
      "by": "tool quantumlib"
    },
    {
      "lead": "openfermion-pyscf",
      "source": "github.com/quantumlib/OpenFermion-PySCF",
      "status": "served",
      "class": "served",
      "by": "tool quantumlib"
    },
    {
      "lead": "openfermion-fqe",
      "source": "github.com/quantumlib/OpenFermion-FQE",
      "status": "served",
      "class": "served",
      "by": "tool quantumlib"
    },
    {
      "lead": "openfermion-cirq",
      "source": "github.com/quantumlib/OpenFermion-Cirq",
      "status": "served",
      "class": "served",
      "by": "tool quantumlib"
    },
    {
      "lead": "unitary-library",
      "source": "github.com/quantumlib/unitary",
      "status": "served",
      "class": "served",
      "by": "tool quantumlib"
    },
    {
      "lead": "typedunits-library",
      "source": "github.com/quantumlib/TypedUnits",
      "status": "served",
      "class": "served",
      "by": "tool quantumlib"
    },
    {
      "lead": "quantumlib-ecosystem",
      "source": "github.com/quantumlib",
      "status": "served",
      "class": "served",
      "by": "tool quantumlib"
    },
    {
      "lead": "cirq-google-integration",
      "source": "github.com/quantumlib/Cirq cirq-google module",
      "status": "partial",
      "class": "trial",
      "by": "partial: circuit serves part; owes: the circuit tool validates circuits against the Willow, Sycamore and Sycamore23 devices and applies Willow's spec-sheet noise, as a virtual engine does; the engine client (programs, jobs, reservations) is described in the google_concepts statement and not implemented"
    },
    {
      "lead": "quantumlib-documentation",
      "source": "quantumai.google and github.com/quantumlib docs",
      "status": "partial",
      "class": "trial",
      "by": "partial: leads serves part; owes: every documentation page of quantumai.google is a lead here, from the sitemap read whole; the repositories' own documentation on github.com is not fetched"
    },
    {
      "lead": "error-correction-threshold",
      "source": "quantumai.google/quantumcomputer; arXiv 2408.13687",
      "status": "served",
      "class": "served",
      "by": "tool processor"
    },
    {
      "lead": "magic-state-cultivation-lead",
      "source": "blog.google, magic state cultivation",
      "status": "served",
      "class": "served",
      "by": "tool processor"
    },
    {
      "lead": "neutral-atom-expansion",
      "source": "blog.google, neutral atom quantum computers",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "quantum-advantage-verification",
      "source": "quantumai.google, Quantum Echoes",
      "status": "served",
      "class": "served",
      "by": "tool echo_benchmark"
    },
    {
      "lead": "cryogenic-engineering",
      "source": "quantumai.google/quantumcomputer; blog.google, the campus announcement",
      "status": "served",
      "class": "served",
      "by": "tool statements"
    },
    {
      "lead": "qubit-scaling-architecture",
      "source": "quantumai.google/quantumcomputer; the Willow spec sheet",
      "status": "served",
      "class": "served",
      "by": "tool processor"
    },
    {
      "lead": "tunable-coupler-dynamics",
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    {
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      "class": "trial",
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    {
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    {
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      "class": "trial",
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    {
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    {
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      "class": "trial",
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    {
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    {
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    {
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    {
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      "class": "trial",
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    {
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      "class": "trial",
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    {
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    {
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      "class": "trial",
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    {
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    {
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    },
    {
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    },
    {
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    {
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    {
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    },
    {
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    {
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    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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    },
    {
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    },
    {
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      "class": "trial",
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    },
    {
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    },
    {
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    },
    {
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      "by": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
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    {
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    {
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    {
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    {
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      "by": "in the sitemap (lastmod 2026-10-16); fetchable; no tool follows this page yet"
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    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
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    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
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      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
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      "class": "trial",
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    {
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    {
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      "class": "trial",
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    {
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      "class": "trial",
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    {
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      "class": "trial",
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    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
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    {
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      "by": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
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    },
    {
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    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "by": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
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    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
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    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-13); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
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    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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    },
    {
      "lead": "page:reference/python/cirq/QubitOrder",
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
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    },
    {
      "lead": "page:reference/python/cirq/ResetChannel",
      "source": "quantumai.google/reference/python/cirq/ResetChannel",
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    {
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    {
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    {
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    {
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    {
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    {
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    },
    {
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    {
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    {
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    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
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    },
    {
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    },
    {
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    },
    {
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      "by": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
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    },
    {
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      "by": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
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    },
    {
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    },
    {
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    },
    {
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    {
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    {
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    },
    {
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    },
    {
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      "class": "trial",
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    },
    {
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      "class": "trial",
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    },
    {
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    },
    {
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      "class": "trial",
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    },
    {
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      "class": "trial",
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    },
    {
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    },
    {
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    },
    {
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    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
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    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
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      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "by": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "lead": "page:reference/python/cirq/SumOfProducts",
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-11); fetchable; no tool follows this page yet"
    },
    {
      "lead": "page:reference/python/cirq/SupportsActOn",
      "source": "quantumai.google/reference/python/cirq/SupportsActOn",
      "status": "open",
      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "source": "quantumai.google/reference/python/cirq/SupportsApplyChannel",
      "status": "open",
      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "status": "open",
      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "source": "quantumai.google/reference/python/cirq/SupportsCommutes",
      "status": "open",
      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "status": "open",
      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "lead": "page:reference/python/cirq/SupportsControlKey",
      "source": "quantumai.google/reference/python/cirq/SupportsControlKey",
      "status": "open",
      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "status": "open",
      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "status": "open",
      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "lead": "page:reference/python/cirq/SupportsExplicitNumQubits",
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      "status": "open",
      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "lead": "page:reference/python/cirq/SupportsExplicitQidShape",
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      "status": "open",
      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "lead": "page:reference/python/cirq/SupportsJSON",
      "source": "quantumai.google/reference/python/cirq/SupportsJSON",
      "status": "open",
      "class": "trial",
      "by": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
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      "source": "quantumai.google/reference/python/cirq/SupportsKraus",
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
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      "source": "quantumai.google/reference/python/cirq/SupportsMeasurementKey",
      "status": "open",
      "class": "trial",
      "by": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
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      "status": "open",
      "class": "trial",
      "by": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
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      "status": "open",
      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "lead": "page:reference/python/cirq/SupportsPhase",
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      "status": "open",
      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "lead": "page:reference/python/cirq/SupportsTraceDistanceBound",
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "lead": "page:reference/python/cirq/SupportsUnitary",
      "source": "quantumai.google/reference/python/cirq/SupportsUnitary",
      "status": "open",
      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "lead": "page:reference/python/cirq/Sweepable",
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      "status": "open",
      "class": "trial",
      "by": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "lead": "page:reference/python/cirq/SympyCondition",
      "source": "quantumai.google/reference/python/cirq/SympyCondition",
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      "class": "trial",
      "by": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "lead": "page:reference/python/cirq/T",
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    {
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      "status": "open",
      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
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    {
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    {
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    },
    {
      "lead": "page:reference/python/cirq_ionq/ionq_native_gates",
      "source": "quantumai.google/reference/python/cirq_ionq/ionq_native_gates",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: IonQ's trapped-ion hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_ionq/ionq_native_gates/GPI",
      "source": "quantumai.google/reference/python/cirq_ionq/ionq_native_gates/GPI",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: IonQ's trapped-ion hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_ionq/ionq_native_gates/GPI2",
      "source": "quantumai.google/reference/python/cirq_ionq/ionq_native_gates/GPI2",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: IonQ's trapped-ion hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_ionq/ionq_native_gates/GPI2Gate",
      "source": "quantumai.google/reference/python/cirq_ionq/ionq_native_gates/GPI2Gate",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: IonQ's trapped-ion hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_ionq/ionq_native_gates/GPIGate",
      "source": "quantumai.google/reference/python/cirq_ionq/ionq_native_gates/GPIGate",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: IonQ's trapped-ion hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_ionq/ionq_native_gates/MS",
      "source": "quantumai.google/reference/python/cirq_ionq/ionq_native_gates/MS",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: IonQ's trapped-ion hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_ionq/ionq_native_gates/MSGate",
      "source": "quantumai.google/reference/python/cirq_ionq/ionq_native_gates/MSGate",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: IonQ's trapped-ion hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_ionq/ionq_native_gates/ZZ",
      "source": "quantumai.google/reference/python/cirq_ionq/ionq_native_gates/ZZ",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: IonQ's trapped-ion hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_ionq/ionq_native_gates/ZZGate",
      "source": "quantumai.google/reference/python/cirq_ionq/ionq_native_gates/ZZGate",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: IonQ's trapped-ion hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_ionq/ionq_native_target_gateset",
      "source": "quantumai.google/reference/python/cirq_ionq/ionq_native_target_gateset",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: IonQ's trapped-ion hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_ionq/ionq_native_target_gateset/AriaNativeGateset",
      "source": "quantumai.google/reference/python/cirq_ionq/ionq_native_target_gateset/AriaNativeGateset",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: IonQ's trapped-ion hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_ionq/ionq_native_target_gateset/ForteNativeGateset",
      "source": "quantumai.google/reference/python/cirq_ionq/ionq_native_target_gateset/ForteNativeGateset",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: IonQ's trapped-ion hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_ionq/ionq_native_target_gateset/IonqNativeGatesetBase",
      "source": "quantumai.google/reference/python/cirq_ionq/ionq_native_target_gateset/IonqNativeGatesetBase",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: IonQ's trapped-ion hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_ionq/job",
      "source": "quantumai.google/reference/python/cirq_ionq/job",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: IonQ's trapped-ion hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_ionq/job/Job",
      "source": "quantumai.google/reference/python/cirq_ionq/job/Job",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: IonQ's trapped-ion hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_ionq/json_resolver_cache",
      "source": "quantumai.google/reference/python/cirq_ionq/json_resolver_cache",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: IonQ's trapped-ion hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_ionq/results",
      "source": "quantumai.google/reference/python/cirq_ionq/results",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: IonQ's trapped-ion hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_ionq/results/QPUResult",
      "source": "quantumai.google/reference/python/cirq_ionq/results/QPUResult",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: IonQ's trapped-ion hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_ionq/results/SimulatorResult",
      "source": "quantumai.google/reference/python/cirq_ionq/results/SimulatorResult",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: IonQ's trapped-ion hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_ionq/sampler",
      "source": "quantumai.google/reference/python/cirq_ionq/sampler",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: IonQ's trapped-ion hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_ionq/sampler/Sampler",
      "source": "quantumai.google/reference/python/cirq_ionq/sampler/Sampler",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: IonQ's trapped-ion hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_ionq/serializer",
      "source": "quantumai.google/reference/python/cirq_ionq/serializer",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: IonQ's trapped-ion hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_ionq/serializer/SerializedProgram",
      "source": "quantumai.google/reference/python/cirq_ionq/serializer/SerializedProgram",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: IonQ's trapped-ion hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_ionq/serializer/Serializer",
      "source": "quantumai.google/reference/python/cirq_ionq/serializer/Serializer",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: IonQ's trapped-ion hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_ionq/service",
      "source": "quantumai.google/reference/python/cirq_ionq/service",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: IonQ's trapped-ion hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_ionq/service/Service",
      "source": "quantumai.google/reference/python/cirq_ionq/service/Service",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: IonQ's trapped-ion hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_pasqal",
      "source": "quantumai.google/reference/python/cirq_pasqal",
      "status": "open",
      "class": "trial",
      "by": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "lead": "page:reference/python/cirq_pasqal/all_symbols",
      "source": "quantumai.google/reference/python/cirq_pasqal/all_symbols",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Pasqal's neutral-atom hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_pasqal/json_resolver_cache",
      "source": "quantumai.google/reference/python/cirq_pasqal/json_resolver_cache",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Pasqal's neutral-atom hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_pasqal/pasqal_device",
      "source": "quantumai.google/reference/python/cirq_pasqal/pasqal_device",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Pasqal's neutral-atom hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_pasqal/pasqal_device/PasqalDevice",
      "source": "quantumai.google/reference/python/cirq_pasqal/pasqal_device/PasqalDevice",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Pasqal's neutral-atom hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_pasqal/pasqal_device/PasqalVirtualDevice",
      "source": "quantumai.google/reference/python/cirq_pasqal/pasqal_device/PasqalVirtualDevice",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Pasqal's neutral-atom hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_pasqal/pasqal_gateset",
      "source": "quantumai.google/reference/python/cirq_pasqal/pasqal_gateset",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Pasqal's neutral-atom hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_pasqal/pasqal_gateset/PasqalGateset",
      "source": "quantumai.google/reference/python/cirq_pasqal/pasqal_gateset/PasqalGateset",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Pasqal's neutral-atom hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_pasqal/pasqal_gateset/split_multi_op_moments",
      "source": "quantumai.google/reference/python/cirq_pasqal/pasqal_gateset/split_multi_op_moments",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Pasqal's neutral-atom hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_pasqal/pasqal_noise_model",
      "source": "quantumai.google/reference/python/cirq_pasqal/pasqal_noise_model",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Pasqal's neutral-atom hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_pasqal/pasqal_noise_model/PasqalNoiseModel",
      "source": "quantumai.google/reference/python/cirq_pasqal/pasqal_noise_model/PasqalNoiseModel",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Pasqal's neutral-atom hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_pasqal/pasqal_qubits",
      "source": "quantumai.google/reference/python/cirq_pasqal/pasqal_qubits",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Pasqal's neutral-atom hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_pasqal/pasqal_qubits/ThreeDQubit",
      "source": "quantumai.google/reference/python/cirq_pasqal/pasqal_qubits/ThreeDQubit",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Pasqal's neutral-atom hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_pasqal/pasqal_qubits/TwoDQubit",
      "source": "quantumai.google/reference/python/cirq_pasqal/pasqal_qubits/TwoDQubit",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Pasqal's neutral-atom hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_pasqal/pasqal_qubits/sqrt",
      "source": "quantumai.google/reference/python/cirq_pasqal/pasqal_qubits/sqrt",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Pasqal's neutral-atom hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_pasqal/pasqal_sampler",
      "source": "quantumai.google/reference/python/cirq_pasqal/pasqal_sampler",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Pasqal's neutral-atom hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_pasqal/pasqal_sampler/PasqalSampler",
      "source": "quantumai.google/reference/python/cirq_pasqal/pasqal_sampler/PasqalSampler",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Pasqal's neutral-atom hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_web",
      "source": "quantumai.google/reference/python/cirq_web",
      "status": "open",
      "class": "trial",
      "by": "in the sitemap (lastmod 2026-10-24); fetchable; no tool follows this page yet"
    },
    {
      "lead": "page:reference/python/cirq_web/all_symbols",
      "source": "quantumai.google/reference/python/cirq_web/all_symbols",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_web/bloch_sphere",
      "source": "quantumai.google/reference/python/cirq_web/bloch_sphere",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_web/bloch_sphere/BlochSphere",
      "source": "quantumai.google/reference/python/cirq_web/bloch_sphere/BlochSphere",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_web/bloch_sphere/bloch_sphere",
      "source": "quantumai.google/reference/python/cirq_web/bloch_sphere/bloch_sphere",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_web/circuits",
      "source": "quantumai.google/reference/python/cirq_web/circuits",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_web/circuits/Circuit3D",
      "source": "quantumai.google/reference/python/cirq_web/circuits/Circuit3D",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_web/circuits/Operation3DSymbol",
      "source": "quantumai.google/reference/python/cirq_web/circuits/Operation3DSymbol",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_web/circuits/circuit",
      "source": "quantumai.google/reference/python/cirq_web/circuits/circuit",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_web/circuits/symbols",
      "source": "quantumai.google/reference/python/cirq_web/circuits/symbols",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_web/circuits/symbols/DefaultResolver",
      "source": "quantumai.google/reference/python/cirq_web/circuits/symbols/DefaultResolver",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_web/circuits/symbols/SymbolInfo",
      "source": "quantumai.google/reference/python/cirq_web/circuits/symbols/SymbolInfo",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_web/circuits/symbols/SymbolResolver",
      "source": "quantumai.google/reference/python/cirq_web/circuits/symbols/SymbolResolver",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_web/circuits/symbols/resolve_operation",
      "source": "quantumai.google/reference/python/cirq_web/circuits/symbols/resolve_operation",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_web/deprecation",
      "source": "quantumai.google/reference/python/cirq_web/deprecation",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_web/deprecation/assert_deprecated_cirq_web_warning",
      "source": "quantumai.google/reference/python/cirq_web/deprecation/assert_deprecated_cirq_web_warning",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_web/deprecation/deprecated_cirq_web_class",
      "source": "quantumai.google/reference/python/cirq_web/deprecation/deprecated_cirq_web_class",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_web/deprecation/deprecated_cirq_web_function",
      "source": "quantumai.google/reference/python/cirq_web/deprecation/deprecated_cirq_web_function",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_web/widget",
      "source": "quantumai.google/reference/python/cirq_web/widget",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_web/widget/Env",
      "source": "quantumai.google/reference/python/cirq_web/widget/Env",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/cirq_web/widget/Widget",
      "source": "quantumai.google/reference/python/cirq_web/widget/Widget",
      "status": "out_of_scope",
      "class": "refuted",
      "by": "declared out of scope: Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "lead": "page:reference/python/fqe",
      "source": "quantumai.google/reference/python/fqe",
      "status": "open",
      "class": "trial",
      "by": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "lead": "page:reference/python/fqe/NumberOperator",
      "source": "quantumai.google/reference/python/fqe/NumberOperator",
      "status": "open",
      "class": "trial",
      "by": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "lead": "page:reference/python/fqe/S2Operator",
      "source": "quantumai.google/reference/python/fqe/S2Operator",
      "status": "open",
      "class": "trial",
      "by": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "lead": "page:reference/python/fqe/SzOperator",
      "source": "quantumai.google/reference/python/fqe/SzOperator",
      "status": "open",
      "class": "trial",
      "by": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "lead": "page:reference/python/fqe/TimeReversalOp",
      "source": "quantumai.google/reference/python/fqe/TimeReversalOp",
      "status": "open",
      "class": "trial",
      "by": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
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        },
        {
          "source": "src",
          "what": "1 lead(s), e.g. stripe-per-tenant: Stripe per tenant for every scenario within a tenant and between domains and tenants: a checkout plan executed with the tenant's key, a webhook verified with the tenant's secret, one idempotent licence entry per event (granted, renewed, revoked, disputed, failed), a licence valid on the domains it names and read at any host, a replay a duplicate, a forged body or another tenant's secret refused as a lead.",
          "owes": "partial: stripe serves part; owes: the toolbox and the Worker routes are measured by the billing selftest and the worker tests; no tenant has STRIPE_SECRET_KEY_<TENANT> or STRIPE_WEBHOOK_SECRET_<TENANT> set yet, so every live plan is returned with its procedure and every live webhook answers 503 until the author sets the two secrets per tenant and registers https://<host>/docket/stripe at Stripe"
        },
        {
          "source": "src",
          "what": "1 lead(s), e.g. edge-heavy-phases: The whole textbook wave (every example matched with the reflection on) answers in 19 s on a client device and not at all within the Worker's budget at the edge (no answer in 30 s), while one match answers in half a second there: a heavy phase belongs to the device that asked, the edge answers it example by example.",
          "owes": "partial: textbook serves part; owes: measured on 2026-10-25 after the deploy; the textbook tool takes example: <id> with verify so a device walks the textbook within the edge's budget; the flow's client runs the whole wave locally; the balancer keeps a warm isolate's answers but a cold one recomputes"
        },
        {
          "source": "src",
          "what": "1 lead(s), e.g. rbac-payload-mcp: Every MCP server's roles managed in one place by a Payload MCP plugin and asked over MCP itself: the Worker calls the RBAC host's role door with the token, the tenant and the host, and only falls back to the tenant secrets when no host is configured or it is silent.",
          "owes": "partial: audit serves part; owes: the door is wired and tested (roleAt, QPU_RBAC_MCP, QPU_RBAC_TOOL; discovery lists rbac doors as a capability: token in, role out); no Payload MCP host exists yet, so every live role today comes from the tenant secrets and every answer says so (rolesBy)"
        },
        {
          "source": "src",
          "what": "1 lead(s), e.g. device-reading-verifier: A device reading is verified like any fact: against a public reference where one exists (a weather station against a national service, a clock against NTP, a spectrum against NIST lines).",
          "owes": "no reading kind is registered yet; add the fact kind and its free verifier with the first device"
        },
        {
          "source": "src",
          "what": "1 lead(s), e.g. gap-shared-docket: A docket is deployed on both domains; receipts, commitments and leads can be exchanged there; the unit has not yet written to it.",
          "owes": "partial: mongo serves part; owes: deployed on 2026-10-25: one Worker (qpu.ceci.workers.dev, qpu.uuidna.com, qpu.psg.bg), a docket per tenant, measured live — a writer entry stored at uuidna (fb4d7917-dd72-8313-bf20-7843b7a82bd3), psg empty and separate, reader refused, a cross-tenant token answered 403 as a procedure; the unit does not yet write to it and publish lands this tree's artefacts from the next run"
        },
        {
          "source": "src",
          "what": "1 lead(s), e.g. pqc-signature-over-folds: A signature over a fold with ML-DSA (FIPS 204) or SLH-DSA (FIPS 205): the seal here is SHA-256 and HMAC-SHA256, symmetric, where Grover halves the bits and 256 keep 128, and no public-key step falls to Shor; a post-quantum signature a tenant could verify without the key is not implemented",
          "owes": "a pure ML-DSA or SLH-DSA in this tree (no Node, no host) is a port of its own; until then the unit's sign_commit signs by citation and this tree seals by hash"
        }
      ]
    },
    {
      "source": "uuidna.com",
      "reached": true,
      "settled": 3,
      "why": "13 open of 16",
      "open": [
        {
          "source": "uuidna.com",
          "what": "1 lead(s), e.g. perspective-court: The QPU before the court: the unit's honesty gate judges readiness, signs commits by sealed theorems and refuses what it cannot decide.",
          "owes": "partial: readiness serves part; owes: readiness and signing are wired; qpu's own proofs are not citable at the border (gap-theorems-unsealed)"
        },
        {
          "source": "uuidna.com",
          "what": "1 lead(s), e.g. raid-virtualizes-os: Quantum apps on the RAID virtualise every operating system and whatever else the mind imagines: an OS image, its packages and its shell are entries and doors like any other, so an app runs from the docket on any host that mounts the toolboxes; development is traced only through leads.",
          "owes": "inspiration recorded on 2026-10-25; the unit already serves os, port, alpine and shell doors (found by discovery, read by capability), so the first measurement is a qpu app that reads an Alpine package list through those doors and stores it as docket entries; nothing of this is assumed, each step is a lead until served"
        },
        {
          "source": "uuidna.com",
          "what": "1 lead(s), e.g. unit-licence-address-unsealed: The unit's rights door names 9ffcda04-5adc-872e-9358-6b831bbd0c0d as the licence address, and the unit's forensic door says that address is not among its 71,035 sealed addresses: two doors of one unit disagree about its own licence.",
          "owes": "measured on 2026-10-25 by the legal audit; this tree carries the address the rights door gives and cites the rights receipt beside it; the disagreement is the unit's to settle"
        },
        {
          "source": "uuidna.com",
          "what": "1 lead(s), e.g. unit-triad-one-sided: The unit's triad door answers 3, 6, 9 and not the 7, 4, 1 they reflect into at the same time under σ_10, so a computation built on that answer keeps half of what the involution says and gaps remain; this tree now carries both for every seed (triad_reflect, triad_sum, key_trinity, sigma_ten_involution, kernel-checked) and the tuning 432 sits in the trinity 3, 6, 9.",
          "owes": "measured on 2026-10-25 through the connector; the unit's door is the unit's to widen; here every vortex reading and every block's CSS carry the seed, its reflection and both trinities"
        },
        {
          "source": "uuidna.com",
          "what": "1 lead(s), e.g. double-torus-trinities: Prime factors hide beyond the reflection, and the sequence reflected in double-torus combinations of trinities explains all at the Lean binary level: the factoring the simulator cannot reach within its bound would be read from the σ-reflection of periods arranged on the double torus of the triad.",
          "owes": "recorded on 2026-10-25 as the author's idea, not a claim: measured today, the reflection factors only N ≤ 21 and says so for 91, 1001 and 2^32 + 1; the unit's triad door answers [3, 6, 9] and its double-torus door takes addresses (the tree's addresses are the next input); the kernel-accepted theorems shor, all_shor, shor_sigma and sigma_reflect relate a period, the coins and the σ-involution and are the binary level to build from; nothing beyond them is stated until the kernel accepts it"
        },
        {
          "source": "uuidna.com",
          "what": "1 lead(s), e.g. unit-missions-are-its-own: Asked through the connector what is next, the unit answers with its own 293 missions (28 findings to seal, 136 bounds to decide, 129 symbol legs), none about this tree, and its predict_gaps door throws at the edge (\"process is not defined\"): the next step of this tree is read from its own leads and metrics, the unit's doors name the unit's.",
          "owes": "measured on 2026-10-25 through the connector; the missions door answers 2 MB that no isolate should carry per call; a mission that names qpu would be this tree's to follow"
        },
        {
          "source": "uuidna.com",
          "what": "1 lead(s), e.g. gap-fanout-receiver: The unit fans out to qpu.uuidna.com/mcp; the public host answers, the unit's fan-out receives a 404 from somewhere else.",
          "owes": "re-measured on 2026-10-25 after the deploy: https://qpu.uuidna.com/mcp answers tools/list with 25 tools to any HTTP client, yet the unit's uuidna_fanout to the same host answers HTTP 404 with a body ({\"available\":[\"/\",\"/health\"]}) that no code in this tree produces: the unit's fan-out does not reach the public host; the receiver is live, the sender's route is the lead, on the unit's side"
        },
        {
          "source": "uuidna.com",
          "what": "1 lead(s), e.g. gap-sign-door-hosted: The unit signs a commit message through the connector (VERIFIED, 2026-10-25) but its hosted door answers HTTP 500 (Worker exception) to the same tools/call over raw HTTP, with or without an MCP session; the hosted server names itself a read-only recomputable subset",
          "owes": "measured on 2026-10-25 with four argument shapes and a session; the same HTTP 500 answers compute_forensics and verify_claim over raw HTTP when the statement cites a sealed theorem, while uncited statements answer: every door that must open the ledger throws at the edge; the hook records the status in its Signed-by-unit trailer and the connector signature is carried in the message by hand until the door answers"
        },
        {
          "source": "uuidna.com",
          "what": "1 lead(s), e.g. gap-theorems-unsealed: Commit signatures cite the unit's sealed theorems; none of qpu's 976 kernel constants is sealed in the unit's ledger, so qpu's own proofs are not yet citable at the border.",
          "owes": "measured on 2026-10-25 at six doors with clay_sigma and its exact statement: deposit_trial, verify_statement, try_claim, decide_expression and run_trial refuse at the edge (\"the edge does not hold the whole ledger: 40 MB of rows does not fit a 128 MB isolate\", the unit's own documented example included), through the connector and over raw HTTP alike; prove_verdict and verify_claim answer UNVERIFIED with a receipt (no decidable test and no sealed citation at the border; the unit's adjudicate takes an in-process predicate). Readiness offers the theorem to every door the discover step finds that takes a statement and answers a verdict (chosen by capability from discovery.json, never by name) and records what comes back, so the lead closes itself when a door seals it; the ledger is written here as docs/public/theorems.ndjson"
        },
        {
          "source": "uuidna.com",
          "what": "1 lead(s), e.g. gap-circuit-crossing: The unit returns circuits and outcomes; this tree runs circuits on its simulator. Neither has run the other's circuit and compared marginals: the real cross-domain quantum check.",
          "owes": "a format translation between the two circuit shapes is the lead; the comparison is then one tools/call each way"
        },
        {
          "source": "uuidna.com",
          "what": "1 lead(s), e.g. address-agreement: The unit names a value by compute_address; this tree names content by uuidOf, ported one for one from the unit's published shapeUuidOf (two FNV-1a 64 folds, 8-4-4-4-12, a content-decided version nibble). For the probe \"qpu\" the two differ, so the door uses a builder outside the sources this tree can read.",
          "owes": "partial: audit serves part; owes: the readiness step records the agreement each run; until the door's builder is published or the unit adopts shapeUuidOf for the door, the two addresses are both carried and neither is claimed to be the other"
        },
        {
          "source": "uuidna.com",
          "what": "1 lead(s), e.g. unit-predict-gaps-door-edge: The unit's predict_gaps door, asked for every likelihood through the connector on 2026-10-25, answered \"process is not defined\": the door reads Node's process at the edge, where none exists; the unit's own gap prediction cannot be read until the door is made agnostic of its host (the same law this tree's toolboxes follow); the research ledger door answered, naming one gap of its own (an unread Savonius source)",
          "owes": "the unit's door, not this tree's: the author makes it host-agnostic; discovery will read it on the next run"
        },
        {
          "source": "uuidna.com",
          "what": "1 lead(s), e.g. unit-quantum-advantage-door-edge: The unit's get_quantum_advantage door answers that the edge does not hold the whole ledger (40 MB of rows in a 128 MB isolate); involuted, the advantage is read from the piece the edge holds: bill_call { recomputeOps, verifyOps } answers the advantage per call — for the last gate, 504 copies a classical rerun would compute against 439 proven by hash: advantage 65, free, receipt 9896c045-df1c-8b01-8d8d-4812aac7d9d9 — and the flow's metrics step asks it with every run's own counts, the coin accounted",
          "owes": "partial: metrics serves part; owes: the whole door stays the author's to split into pieces the edge can hold; the piece answers now, and nothing is blocked"
        }
      ]
    },
    {
      "source": "github.com",
      "reached": true,
      "settled": 40,
      "why": "5 open of 45",
      "open": [
        {
          "source": "github.com",
          "what": "1 lead(s), e.g. payload-port-cloudflare: Payload CMS and its dependencies ported whole to Cloudflare Workers under nodejs_compat, its database adapter writing docket entries so that content, media and configuration live on the qpu RAID; every Payload collection and plugin then a toolbox of this surface and every other framework merged the same way, one combinatorial framework hosted on the RAID.",
          "owes": "inspiration recorded on 2026-10-25; the two sources are fetched by the wave each run so the templates directory and the Workers Node.js compatibility page are measured, not assumed; the port itself is the author's act on a deployed Worker and docket"
        },
        {
          "source": "github.com",
          "what": "1 lead(s), e.g. payload-db-adapter-docket: Payload's mongodb database adapter ported over the docket: the raid toolbox evaluates MongoDB's query and update language as pure functions over content-addressed entries, so a Payload collection is a family of entries with links, parity and mirrors — the ported RAID MongoDB, not Cloudflare's documented D1 path.",
          "owes": "partial: mongo serves part; owes: the query and update language is ported and tested by the raid toolbox's selftest and examples (find, insert, update, delete with $set, $unset, $inc, $push, $pull); the adapter class itself, binding Payload's interface (read from the source fetched each run) to the docket's four verbs on the deployed Worker, is the next step"
        },
        {
          "source": "github.com",
          "what": "1 lead(s), e.g. payload-mcp-plugin-doors: If Payload publishes an MCP plugin, its endpoint is an MCP host the discover tool reads: a door per collection and verb, chosen by capability like every other door.",
          "owes": "the packages directory is fetched each run; whether a plugin-mcp package exists is read from it, never assumed; a named host is the measurement that opens this lead"
        },
        {
          "source": "github.com",
          "what": "1 lead(s), e.g. qpu-fullstack-on-payload-website: QPU's full stack is the source of payloadcms.com, forked beside the old site: its twelve collections, thirty blocks, globals and fields kept; the qpu block registered (payload.config blocks, the pages layout, the RenderBlocks map) and rendered by asking the Worker for the block; /u/<uuid> in the app teleported from the Worker; search and multi-tenant added to its four plugins through the generated fragment; the database the RAID docket through the mongo tool's language",
          "owes": "partial: configure serves part; owes: the fork typechecks with the qpu block, the tenants collection, search and multi-tenant, and rewrites any UUID path to the Worker (no prefix: the catch-all makes prefixes useless); measured on 2026-10-25: after its preview-styles step and with placeholder values, next build compiles in 59 s and generates its 52 static pages without a database; only payload migrate and generate:llms need DATABASE_URI, and the deploy is the tenant's act; the old site is removed only after the gate decodes the app's pages as copies of the Worker's (the migration law: deploy beside, decode, route, then remove), never by a cut-over"
        },
        {
          "source": "github.com",
          "what": "1 lead(s), e.g. cirq-google-integration: Cirq-Google: integration with Google Quantum AI hardware and the Willow processor",
          "owes": "partial: circuit serves part; owes: the circuit tool validates circuits against the Willow, Sycamore and Sycamore23 devices and applies Willow's spec-sheet noise, as a virtual engine does; the engine client (programs, jobs, reservations) is described in the google_concepts statement and not implemented"
        }
      ]
    },
    {
      "source": "scripts",
      "reached": true,
      "settled": 4,
      "why": "1 open of 5",
      "open": [
        {
          "source": "scripts",
          "what": "1 lead(s), e.g. toolbox-remaining-scripts: Four of the flow's steps are tools of the flow toolbox with thin clients (discover, wave, readiness, imagine); purify, publish, next, the generators and the Lean ledger reader are still scripts: each reads files, git or the Lean environment that only a client can see.",
          "owes": "partial: audit serves part; owes: the pure halves (purity checks over texts, the receipt chain, the docket entries, the pages) are the next toolboxes; their clients hand in the file texts, the git facts and the ledger rows the same way the flow clients hand in fetched bodies"
        }
      ]
    },
    {
      "source": "qpu",
      "reached": true,
      "settled": 8,
      "why": "6 open of 14",
      "open": [
        {
          "source": "qpu",
          "what": "1 lead(s), e.g. language-speech: From text to speech: the prose of any page or block spoken in the viewer's locale by the device's own voices (SpeechSynthesis), token-free and network-free.",
          "owes": "partial: prose serves part; owes: the Speak component reads the prose tool's sentences aloud in the locale through the browser's speech synthesis where the device has a voice for it; which voices a device has is the device's, measured at run time and reported on the page; no server speaks"
        },
        {
          "source": "qpu",
          "what": "1 lead(s), e.g. language-video: From speech to video: captions, transcripts and scene entries of a video as docket entries in the world's language, linked to the video's address, so a video is searchable and translatable like text.",
          "owes": "imagined on 2026-10-25; the entry shape is the raid toolbox's; a transcript source (a device, a person, a model the tenant brings) is the first adaptor to name; nothing here is a model"
        },
        {
          "source": "qpu",
          "what": "1 lead(s), e.g. aspects-by-theorems: Quality is proven by theorems, not by textbook examples; every textbook is respected, and an example that names the kernel-accepted theorem that makes it true is replaced by that theorem, unlocking the quantum capability it documents: an entry's idempotency by address, a signature verified only by its tenant's secret, a role never widened by another tenant's token, a licence valid only on the domains it names, a relation of the Clay register.",
          "owes": "one example names its theorem today (clay-relation-15 → relation_15) and the audit counts them; the invariants of the toolboxes are measured by their selftests; stating them in Lean over the ported definitions (hmac, entries, roles) is the lead; a theorem replaces its check the day the kernel accepts it"
        },
        {
          "source": "qpu",
          "what": "1 lead(s), e.g. iot-adapter-cluster: Any device is an adaptor: a sensor or actuator writes readings as entries { kind: reading, from: device, body } to the docket and reads commands back from it; the docket is agnostic, so a cluster of devices is a cluster of mirrors and writers, each entry fingerprinted, sealed, replicated and healable.",
          "owes": "the docket accepts such entries today; no device driver, firmware or edge gateway is in this tree; the first device, its reading schema and its verifier are the next leads"
        },
        {
          "source": "qpu",
          "what": "1 lead(s), e.g. pravets-8m-recompute: The 54 Clay.lean relations are integer identities between the unit's constants whose widest value needs 33 bits (amplitudes = 2^32), three 16-bit limbs; the receipts are 64-bit folds beside SHA-256: an 8-bit machine such as the Pravets 8M can recompute the register in 16-bit software arithmetic and compare content addresses, verifying that the kernel check happened without running the kernel.",
          "owes": "partial: clay serves part; owes: the kernel check, the census and the recompute with its limb count run here (clay tool: maxBits 33, maxLimbs16 3); the 16-bit-limb recomputer itself and the receipt-chain comparison on an 8-bit machine are not yet in this tree"
        },
        {
          "source": "qpu",
          "what": "1 lead(s), e.g. old-site-removal-gated: The old solutions (the VitePress site under docs/, its service worker and generated pages) are removed when the forked full stack answers the same addresses: the gate decodes the app's /u pages and the Worker's as copies of one value; until every combination agrees the old site serves beside the new, at whole uptime",
          "owes": "a cut-over before the gate agrees would break the live pages; the removal is the last step of the migration configure { kind: migration } names, and the app does not run yet"
        }
      ]
    },
    {
      "source": "oeis.org",
      "reached": true,
      "settled": 1,
      "why": "all settled",
      "open": []
    },
    {
      "source": "payloadcms.com",
      "reached": true,
      "settled": 0,
      "why": "3 open of 3",
      "open": [
        {
          "source": "payloadcms.com",
          "what": "1 lead(s), e.g. payload-cms-host: A Payload CMS instance is one more host to the discover tool: its MCP plugin endpoint lists a door per collection and verb (find, create, update, delete), its GraphQL endpoint answers introspection (a contract the discover tool now detects), its REST routes answer per collection; each collection would be a toolbox of its own, its skill the collection's schema, access rules and hooks.",
          "owes": "no Payload host is named in this tree; the discover tool takes any MCP endpoint in mcpHosts and reads its doors by capability, so the adapter is built from discovery the day a host is named, not from documentation"
        },
        {
          "source": "payloadcms.com",
          "what": "1 lead(s), e.g. payload-cms-default-plugins: Everything fits in Payload's default shapes with no custom collection: nested docs for the tree of pages and leads, SEO for every page's Open Graph from its UUID, localisation for every world's language, the lexical editor for prose, and shadcn blocks as the programmable blocks every tool result already is — the same blocks serving as hooks (a block that runs a tool), scopes (a block that bounds a tenant or a role) and relations (a block that links entries). MCP configures the default plugins in all their combinations: the toolboxes' doors are the configuration, read by discovery, never typed.",
          "owes": "imagined on 2026-10-25, strict: no custom collection; the default plugins (nested-docs, seo, form-builder, redirects, search, cloud-storage, import-export) in every combination are the configuration a Payload MCP host exposes, and the discover tool reads it; measurable only against a running instance: discover it, read its doors, then write the toolbox from what it answers"
        },
        {
          "source": "payloadcms.com",
          "what": "1 lead(s), e.g. textbook-theorems-via-payload-mcp: The replacement runs through the Payload MCP plugin as a client: payload { theorems, payloadUrl } plans the calls, picks the pages collection's find and update doors by what they take (a slug with a where; a slug with an id and data), never by a name, finds every page whose layout holds a qpu block without a theorem, and emits the update that writes the kernel-accepted key its example names into the block's theorem field (the block now carries one); proven on the plugin's documented shapes by two examples",
          "owes": "partial: payload serves part; owes: the tenant's Payload instance with the MCP plugin and a user API key (QPU_PAYLOAD_URL, QPU_PAYLOAD_API_KEY) are the tenant's to bring; the textbook step sends the calls once they are named"
        }
      ]
    },
    {
      "source": "modelcontextprotocol.io",
      "reached": true,
      "settled": 0,
      "why": "1 open of 1",
      "open": [
        {
          "source": "modelcontextprotocol.io",
          "what": "1 lead(s), e.g. mcp-ui-extension: The MCP UI extension lets a host render interactive views a server declares; this tree declares its widgets in _meta.widget as HTML and its blocks as shadcn registry items.",
          "owes": "partial: audit serves part; owes: the html and block are served; the extension's declared resource scheme and the host handshake are not implemented here, and the specification is still moving"
        }
      ]
    },
    {
      "source": "en.wikipedia.org",
      "reached": true,
      "settled": 1,
      "why": "1 open of 2",
      "open": [
        {
          "source": "en.wikipedia.org",
          "what": "1 lead(s), e.g. glagolitic-above-thousand: Glagolitic values above Ⱍ = 1000 (the letters after Črьvъ) and the titlo mark that multiplies by a thousand",
          "owes": "not in the table; the sources disagree on the later letters, so the table stops where they agree"
        }
      ]
    },
    {
      "source": "receipts.ndjson",
      "reached": true,
      "settled": 0,
      "why": "1 open of 1",
      "open": [
        {
          "source": "receipts.ndjson",
          "what": "1 lead(s), e.g. gap-time-witness: A receipt is dated by its own clock; the unit could date qpu's receipts by signing their ids, and qpu the unit's, so time has two witnesses.",
          "owes": "wired on 2026-10-25: prepare-commit-msg sends the message with its Receipt trailer to the unit's sign_commit, so the unit's fold dates the receipt as a Signed-by-unit trailer when the hosted door answers (it answers HTTP 500 today: lead gap-sign-door-hosted); the unit does not yet read qpu's stream itself, and an offline commit is unsigned and says so"
        }
      ]
    },
    {
      "source": "qpu.uuidna.com",
      "reached": true,
      "settled": 1,
      "why": "all settled",
      "open": []
    },
    {
      "source": "qpu.ceci.workers.dev",
      "reached": true,
      "settled": 0,
      "why": "1 open of 1",
      "open": [
        {
          "source": "qpu.ceci.workers.dev",
          "what": "1 lead(s), e.g. e2e-textbook-verify-edge: The end-to-end gate measured textbook { verify: true } answering nothing at the edge within 30 s on all three hosts (an erasure on every copy; the tree computes it); the verification wave over every example exceeds what one Worker request may compute",
          "owes": "the textbook verify wave at the edge is a quantum to split: one example per request, or the docket holding the wave between requests; until then the gate decodes the combination from the tree alone and names the erasure"
        }
      ]
    },
    {
      "source": "docs",
      "reached": true,
      "settled": 1,
      "why": "all settled",
      "open": []
    },
    {
      "source": "package.json",
      "reached": true,
      "settled": 1,
      "why": "all settled",
      "open": []
    },
    {
      "source": "api.githubcopilot.com",
      "reached": true,
      "settled": 0,
      "why": "1 open of 1",
      "open": [
        {
          "source": "api.githubcopilot.com",
          "what": "1 lead(s), e.g. github-mcp-integrated: GitHub's hosted MCP is integrated: discovered by default, the repository toolbox watches branches, tags and releases through its doors list_branches, list_tags and list_releases (via: mcp) when the tenant's token QPU_MCP_TOKEN_API_GITHUBCOPILOT_COM opens it, the event-stream answers read into the same watch; without the token the REST contract serves and the door stays named",
          "owes": "partial: repository serves part; owes: the token is the tenant's to set (a fine-grained PAT or the OAuth flow); the selftest proves the doors on fixtures, the live doors answer 401 until then"
        }
      ]
    },
    {
      "source": "docs.mcp.cloudflare.com",
      "reached": true,
      "settled": 0,
      "why": "1 open of 1",
      "open": [
        {
          "source": "docs.mcp.cloudflare.com",
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      "reached": true,
      "settled": 1,
      "why": "all settled",
      "open": []
    },
    {
      "source": "youtube.com",
      "reached": true,
      "settled": 0,
      "why": "1 open of 1",
      "open": [
        {
          "source": "youtube.com",
          "what": "1 lead(s), e.g. videos: Educational videos: how-to videos on programming quantum computers, scientific breakthroughs, and new tools",
          "owes": "partial: statements serves part; owes: the Resources page's description of the videos is served as the resources statement; the videos themselves are not text and are not carried"
        }
      ]
    },
    {
      "source": "google.com",
      "reached": true,
      "settled": 1,
      "why": "all settled",
      "open": []
    }
  ],
  "borderPlan": [],
  "unfillable": [],
  "unitPlan": [
    {
      "name": "check_release_readiness",
      "arguments": {
        "sources": [
          {
            "source": "src",
            "reached": true,
            "settled": 70,
            "why": "11 open of 81",
            "open": [
              {
                "source": "src",
                "what": "1 lead(s), e.g. perspective-database: The QPU as the database: MongoDB's language over content-addressed entries, history kept by links, any document framework on the RAID.",
                "owes": "partial: mongo serves part; owes: the language is ported; the adapter on the deployed docket is owed (payload-db-adapter-docket)"
              },
              {
                "source": "src",
                "what": "1 lead(s), e.g. perspective-harmonic: The QPU as the harmonic: a432 the key of every colour, the block's accent from the UUID's middle as CMYK, on every result.",
                "owes": "partial: audit serves part; owes: the theme rides on every block and the audit checks the block; a door that answers the css alone is the unit's get_css, not yet served here"
              },
              {
                "source": "src",
                "what": "1 lead(s), e.g. perspective-tenants: The QPU as the host of tenants: one Worker, a docket per host, roles by token, a security collision answered as a procedure.",
                "owes": "partial: audit serves part; owes: deployed and measured live on 2026-10-25 (three hosts, roles, collision as a procedure); the roles move to a Payload MCP plugin over MCP (rbac-payload-mcp) and the tenant secrets stay as the fallback"
              },
              {
                "source": "src",
                "what": "1 lead(s), e.g. worlds-linked: The platform links whole worlds in their languages and dialects: every world a tenant with its locale, its vocabulary table and its dialects, its entries related to other worlds' entries by links in the docket, so a term, a licence or a lead in one world is reachable from another in that world's words.",
                "owes": "partial: translate serves part; owes: the vocabulary translates both ways and prose is programmed per locale; two tenants exist; a world's dialect is one more table (LOCALES marks the unfilled ones), and the relations between worlds are docket links the raid toolbox already keeps; the tables beyond Bulgarian are the leads to fill"
              },
              {
                "source": "src",
                "what": "1 lead(s), e.g. language-traditions: Traditions and relations: a world's terms related to each other (synonym, opposite, part of, before, after, tradition of) as a relation table beside its vocabulary, so a match in one world reflects through its own relations, and the Glagolitic and Cyrillic numerals are one such tradition already read.",
                "owes": "the matcher's mirror synonyms are the first relation table; Glagolitic numerals the first tradition; a per-locale relations table is the lead, filled by a person of that world, never guessed"
              },
              {
                "source": "src",
                "what": "1 lead(s), e.g. stripe-per-tenant: Stripe per tenant for every scenario within a tenant and between domains and tenants: a checkout plan executed with the tenant's key, a webhook verified with the tenant's secret, one idempotent licence entry per event (granted, renewed, revoked, disputed, failed), a licence valid on the domains it names and read at any host, a replay a duplicate, a forged body or another tenant's secret refused as a lead.",
                "owes": "partial: stripe serves part; owes: the toolbox and the Worker routes are measured by the billing selftest and the worker tests; no tenant has STRIPE_SECRET_KEY_<TENANT> or STRIPE_WEBHOOK_SECRET_<TENANT> set yet, so every live plan is returned with its procedure and every live webhook answers 503 until the author sets the two secrets per tenant and registers https://<host>/docket/stripe at Stripe"
              },
              {
                "source": "src",
                "what": "1 lead(s), e.g. edge-heavy-phases: The whole textbook wave (every example matched with the reflection on) answers in 19 s on a client device and not at all within the Worker's budget at the edge (no answer in 30 s), while one match answers in half a second there: a heavy phase belongs to the device that asked, the edge answers it example by example.",
                "owes": "partial: textbook serves part; owes: measured on 2026-10-25 after the deploy; the textbook tool takes example: <id> with verify so a device walks the textbook within the edge's budget; the flow's client runs the whole wave locally; the balancer keeps a warm isolate's answers but a cold one recomputes"
              },
              {
                "source": "src",
                "what": "1 lead(s), e.g. rbac-payload-mcp: Every MCP server's roles managed in one place by a Payload MCP plugin and asked over MCP itself: the Worker calls the RBAC host's role door with the token, the tenant and the host, and only falls back to the tenant secrets when no host is configured or it is silent.",
                "owes": "partial: audit serves part; owes: the door is wired and tested (roleAt, QPU_RBAC_MCP, QPU_RBAC_TOOL; discovery lists rbac doors as a capability: token in, role out); no Payload MCP host exists yet, so every live role today comes from the tenant secrets and every answer says so (rolesBy)"
              },
              {
                "source": "src",
                "what": "1 lead(s), e.g. device-reading-verifier: A device reading is verified like any fact: against a public reference where one exists (a weather station against a national service, a clock against NTP, a spectrum against NIST lines).",
                "owes": "no reading kind is registered yet; add the fact kind and its free verifier with the first device"
              },
              {
                "source": "src",
                "what": "1 lead(s), e.g. gap-shared-docket: A docket is deployed on both domains; receipts, commitments and leads can be exchanged there; the unit has not yet written to it.",
                "owes": "partial: mongo serves part; owes: deployed on 2026-10-25: one Worker (qpu.ceci.workers.dev, qpu.uuidna.com, qpu.psg.bg), a docket per tenant, measured live — a writer entry stored at uuidna (fb4d7917-dd72-8313-bf20-7843b7a82bd3), psg empty and separate, reader refused, a cross-tenant token answered 403 as a procedure; the unit does not yet write to it and publish lands this tree's artefacts from the next run"
              },
              {
                "source": "src",
                "what": "1 lead(s), e.g. pqc-signature-over-folds: A signature over a fold with ML-DSA (FIPS 204) or SLH-DSA (FIPS 205): the seal here is SHA-256 and HMAC-SHA256, symmetric, where Grover halves the bits and 256 keep 128, and no public-key step falls to Shor; a post-quantum signature a tenant could verify without the key is not implemented",
                "owes": "a pure ML-DSA or SLH-DSA in this tree (no Node, no host) is a port of its own; until then the unit's sign_commit signs by citation and this tree seals by hash"
              }
            ]
          },
          {
            "source": "uuidna.com",
            "reached": true,
            "settled": 3,
            "why": "13 open of 16",
            "open": [
              {
                "source": "uuidna.com",
                "what": "1 lead(s), e.g. perspective-court: The QPU before the court: the unit's honesty gate judges readiness, signs commits by sealed theorems and refuses what it cannot decide.",
                "owes": "partial: readiness serves part; owes: readiness and signing are wired; qpu's own proofs are not citable at the border (gap-theorems-unsealed)"
              },
              {
                "source": "uuidna.com",
                "what": "1 lead(s), e.g. raid-virtualizes-os: Quantum apps on the RAID virtualise every operating system and whatever else the mind imagines: an OS image, its packages and its shell are entries and doors like any other, so an app runs from the docket on any host that mounts the toolboxes; development is traced only through leads.",
                "owes": "inspiration recorded on 2026-10-25; the unit already serves os, port, alpine and shell doors (found by discovery, read by capability), so the first measurement is a qpu app that reads an Alpine package list through those doors and stores it as docket entries; nothing of this is assumed, each step is a lead until served"
              },
              {
                "source": "uuidna.com",
                "what": "1 lead(s), e.g. unit-licence-address-unsealed: The unit's rights door names 9ffcda04-5adc-872e-9358-6b831bbd0c0d as the licence address, and the unit's forensic door says that address is not among its 71,035 sealed addresses: two doors of one unit disagree about its own licence.",
                "owes": "measured on 2026-10-25 by the legal audit; this tree carries the address the rights door gives and cites the rights receipt beside it; the disagreement is the unit's to settle"
              },
              {
                "source": "uuidna.com",
                "what": "1 lead(s), e.g. unit-triad-one-sided: The unit's triad door answers 3, 6, 9 and not the 7, 4, 1 they reflect into at the same time under σ_10, so a computation built on that answer keeps half of what the involution says and gaps remain; this tree now carries both for every seed (triad_reflect, triad_sum, key_trinity, sigma_ten_involution, kernel-checked) and the tuning 432 sits in the trinity 3, 6, 9.",
                "owes": "measured on 2026-10-25 through the connector; the unit's door is the unit's to widen; here every vortex reading and every block's CSS carry the seed, its reflection and both trinities"
              },
              {
                "source": "uuidna.com",
                "what": "1 lead(s), e.g. double-torus-trinities: Prime factors hide beyond the reflection, and the sequence reflected in double-torus combinations of trinities explains all at the Lean binary level: the factoring the simulator cannot reach within its bound would be read from the σ-reflection of periods arranged on the double torus of the triad.",
                "owes": "recorded on 2026-10-25 as the author's idea, not a claim: measured today, the reflection factors only N ≤ 21 and says so for 91, 1001 and 2^32 + 1; the unit's triad door answers [3, 6, 9] and its double-torus door takes addresses (the tree's addresses are the next input); the kernel-accepted theorems shor, all_shor, shor_sigma and sigma_reflect relate a period, the coins and the σ-involution and are the binary level to build from; nothing beyond them is stated until the kernel accepts it"
              },
              {
                "source": "uuidna.com",
                "what": "1 lead(s), e.g. unit-missions-are-its-own: Asked through the connector what is next, the unit answers with its own 293 missions (28 findings to seal, 136 bounds to decide, 129 symbol legs), none about this tree, and its predict_gaps door throws at the edge (\"process is not defined\"): the next step of this tree is read from its own leads and metrics, the unit's doors name the unit's.",
                "owes": "measured on 2026-10-25 through the connector; the missions door answers 2 MB that no isolate should carry per call; a mission that names qpu would be this tree's to follow"
              },
              {
                "source": "uuidna.com",
                "what": "1 lead(s), e.g. gap-fanout-receiver: The unit fans out to qpu.uuidna.com/mcp; the public host answers, the unit's fan-out receives a 404 from somewhere else.",
                "owes": "re-measured on 2026-10-25 after the deploy: https://qpu.uuidna.com/mcp answers tools/list with 25 tools to any HTTP client, yet the unit's uuidna_fanout to the same host answers HTTP 404 with a body ({\"available\":[\"/\",\"/health\"]}) that no code in this tree produces: the unit's fan-out does not reach the public host; the receiver is live, the sender's route is the lead, on the unit's side"
              },
              {
                "source": "uuidna.com",
                "what": "1 lead(s), e.g. gap-sign-door-hosted: The unit signs a commit message through the connector (VERIFIED, 2026-10-25) but its hosted door answers HTTP 500 (Worker exception) to the same tools/call over raw HTTP, with or without an MCP session; the hosted server names itself a read-only recomputable subset",
                "owes": "measured on 2026-10-25 with four argument shapes and a session; the same HTTP 500 answers compute_forensics and verify_claim over raw HTTP when the statement cites a sealed theorem, while uncited statements answer: every door that must open the ledger throws at the edge; the hook records the status in its Signed-by-unit trailer and the connector signature is carried in the message by hand until the door answers"
              },
              {
                "source": "uuidna.com",
                "what": "1 lead(s), e.g. gap-theorems-unsealed: Commit signatures cite the unit's sealed theorems; none of qpu's 976 kernel constants is sealed in the unit's ledger, so qpu's own proofs are not yet citable at the border.",
                "owes": "measured on 2026-10-25 at six doors with clay_sigma and its exact statement: deposit_trial, verify_statement, try_claim, decide_expression and run_trial refuse at the edge (\"the edge does not hold the whole ledger: 40 MB of rows does not fit a 128 MB isolate\", the unit's own documented example included), through the connector and over raw HTTP alike; prove_verdict and verify_claim answer UNVERIFIED with a receipt (no decidable test and no sealed citation at the border; the unit's adjudicate takes an in-process predicate). Readiness offers the theorem to every door the discover step finds that takes a statement and answers a verdict (chosen by capability from discovery.json, never by name) and records what comes back, so the lead closes itself when a door seals it; the ledger is written here as docs/public/theorems.ndjson"
              },
              {
                "source": "uuidna.com",
                "what": "1 lead(s), e.g. gap-circuit-crossing: The unit returns circuits and outcomes; this tree runs circuits on its simulator. Neither has run the other's circuit and compared marginals: the real cross-domain quantum check.",
                "owes": "a format translation between the two circuit shapes is the lead; the comparison is then one tools/call each way"
              },
              {
                "source": "uuidna.com",
                "what": "1 lead(s), e.g. address-agreement: The unit names a value by compute_address; this tree names content by uuidOf, ported one for one from the unit's published shapeUuidOf (two FNV-1a 64 folds, 8-4-4-4-12, a content-decided version nibble). For the probe \"qpu\" the two differ, so the door uses a builder outside the sources this tree can read.",
                "owes": "partial: audit serves part; owes: the readiness step records the agreement each run; until the door's builder is published or the unit adopts shapeUuidOf for the door, the two addresses are both carried and neither is claimed to be the other"
              },
              {
                "source": "uuidna.com",
                "what": "1 lead(s), e.g. unit-predict-gaps-door-edge: The unit's predict_gaps door, asked for every likelihood through the connector on 2026-10-25, answered \"process is not defined\": the door reads Node's process at the edge, where none exists; the unit's own gap prediction cannot be read until the door is made agnostic of its host (the same law this tree's toolboxes follow); the research ledger door answered, naming one gap of its own (an unread Savonius source)",
                "owes": "the unit's door, not this tree's: the author makes it host-agnostic; discovery will read it on the next run"
              },
              {
                "source": "uuidna.com",
                "what": "1 lead(s), e.g. unit-quantum-advantage-door-edge: The unit's get_quantum_advantage door answers that the edge does not hold the whole ledger (40 MB of rows in a 128 MB isolate); involuted, the advantage is read from the piece the edge holds: bill_call { recomputeOps, verifyOps } answers the advantage per call — for the last gate, 504 copies a classical rerun would compute against 439 proven by hash: advantage 65, free, receipt 9896c045-df1c-8b01-8d8d-4812aac7d9d9 — and the flow's metrics step asks it with every run's own counts, the coin accounted",
                "owes": "partial: metrics serves part; owes: the whole door stays the author's to split into pieces the edge can hold; the piece answers now, and nothing is blocked"
              }
            ]
          },
          {
            "source": "github.com",
            "reached": true,
            "settled": 40,
            "why": "5 open of 45",
            "open": [
              {
                "source": "github.com",
                "what": "1 lead(s), e.g. payload-port-cloudflare: Payload CMS and its dependencies ported whole to Cloudflare Workers under nodejs_compat, its database adapter writing docket entries so that content, media and configuration live on the qpu RAID; every Payload collection and plugin then a toolbox of this surface and every other framework merged the same way, one combinatorial framework hosted on the RAID.",
                "owes": "inspiration recorded on 2026-10-25; the two sources are fetched by the wave each run so the templates directory and the Workers Node.js compatibility page are measured, not assumed; the port itself is the author's act on a deployed Worker and docket"
              },
              {
                "source": "github.com",
                "what": "1 lead(s), e.g. payload-db-adapter-docket: Payload's mongodb database adapter ported over the docket: the raid toolbox evaluates MongoDB's query and update language as pure functions over content-addressed entries, so a Payload collection is a family of entries with links, parity and mirrors — the ported RAID MongoDB, not Cloudflare's documented D1 path.",
                "owes": "partial: mongo serves part; owes: the query and update language is ported and tested by the raid toolbox's selftest and examples (find, insert, update, delete with $set, $unset, $inc, $push, $pull); the adapter class itself, binding Payload's interface (read from the source fetched each run) to the docket's four verbs on the deployed Worker, is the next step"
              },
              {
                "source": "github.com",
                "what": "1 lead(s), e.g. payload-mcp-plugin-doors: If Payload publishes an MCP plugin, its endpoint is an MCP host the discover tool reads: a door per collection and verb, chosen by capability like every other door.",
                "owes": "the packages directory is fetched each run; whether a plugin-mcp package exists is read from it, never assumed; a named host is the measurement that opens this lead"
              },
              {
                "source": "github.com",
                "what": "1 lead(s), e.g. qpu-fullstack-on-payload-website: QPU's full stack is the source of payloadcms.com, forked beside the old site: its twelve collections, thirty blocks, globals and fields kept; the qpu block registered (payload.config blocks, the pages layout, the RenderBlocks map) and rendered by asking the Worker for the block; /u/<uuid> in the app teleported from the Worker; search and multi-tenant added to its four plugins through the generated fragment; the database the RAID docket through the mongo tool's language",
                "owes": "partial: configure serves part; owes: the fork typechecks with the qpu block, the tenants collection, search and multi-tenant, and rewrites any UUID path to the Worker (no prefix: the catch-all makes prefixes useless); measured on 2026-10-25: after its preview-styles step and with placeholder values, next build compiles in 59 s and generates its 52 static pages without a database; only payload migrate and generate:llms need DATABASE_URI, and the deploy is the tenant's act; the old site is removed only after the gate decodes the app's pages as copies of the Worker's (the migration law: deploy beside, decode, route, then remove), never by a cut-over"
              },
              {
                "source": "github.com",
                "what": "1 lead(s), e.g. cirq-google-integration: Cirq-Google: integration with Google Quantum AI hardware and the Willow processor",
                "owes": "partial: circuit serves part; owes: the circuit tool validates circuits against the Willow, Sycamore and Sycamore23 devices and applies Willow's spec-sheet noise, as a virtual engine does; the engine client (programs, jobs, reservations) is described in the google_concepts statement and not implemented"
              }
            ]
          },
          {
            "source": "scripts",
            "reached": true,
            "settled": 4,
            "why": "1 open of 5",
            "open": [
              {
                "source": "scripts",
                "what": "1 lead(s), e.g. toolbox-remaining-scripts: Four of the flow's steps are tools of the flow toolbox with thin clients (discover, wave, readiness, imagine); purify, publish, next, the generators and the Lean ledger reader are still scripts: each reads files, git or the Lean environment that only a client can see.",
                "owes": "partial: audit serves part; owes: the pure halves (purity checks over texts, the receipt chain, the docket entries, the pages) are the next toolboxes; their clients hand in the file texts, the git facts and the ledger rows the same way the flow clients hand in fetched bodies"
              }
            ]
          },
          {
            "source": "qpu",
            "reached": true,
            "settled": 8,
            "why": "6 open of 14",
            "open": [
              {
                "source": "qpu",
                "what": "1 lead(s), e.g. language-speech: From text to speech: the prose of any page or block spoken in the viewer's locale by the device's own voices (SpeechSynthesis), token-free and network-free.",
                "owes": "partial: prose serves part; owes: the Speak component reads the prose tool's sentences aloud in the locale through the browser's speech synthesis where the device has a voice for it; which voices a device has is the device's, measured at run time and reported on the page; no server speaks"
              },
              {
                "source": "qpu",
                "what": "1 lead(s), e.g. language-video: From speech to video: captions, transcripts and scene entries of a video as docket entries in the world's language, linked to the video's address, so a video is searchable and translatable like text.",
                "owes": "imagined on 2026-10-25; the entry shape is the raid toolbox's; a transcript source (a device, a person, a model the tenant brings) is the first adaptor to name; nothing here is a model"
              },
              {
                "source": "qpu",
                "what": "1 lead(s), e.g. aspects-by-theorems: Quality is proven by theorems, not by textbook examples; every textbook is respected, and an example that names the kernel-accepted theorem that makes it true is replaced by that theorem, unlocking the quantum capability it documents: an entry's idempotency by address, a signature verified only by its tenant's secret, a role never widened by another tenant's token, a licence valid only on the domains it names, a relation of the Clay register.",
                "owes": "one example names its theorem today (clay-relation-15 → relation_15) and the audit counts them; the invariants of the toolboxes are measured by their selftests; stating them in Lean over the ported definitions (hmac, entries, roles) is the lead; a theorem replaces its check the day the kernel accepts it"
              },
              {
                "source": "qpu",
                "what": "1 lead(s), e.g. iot-adapter-cluster: Any device is an adaptor: a sensor or actuator writes readings as entries { kind: reading, from: device, body } to the docket and reads commands back from it; the docket is agnostic, so a cluster of devices is a cluster of mirrors and writers, each entry fingerprinted, sealed, replicated and healable.",
                "owes": "the docket accepts such entries today; no device driver, firmware or edge gateway is in this tree; the first device, its reading schema and its verifier are the next leads"
              },
              {
                "source": "qpu",
                "what": "1 lead(s), e.g. pravets-8m-recompute: The 54 Clay.lean relations are integer identities between the unit's constants whose widest value needs 33 bits (amplitudes = 2^32), three 16-bit limbs; the receipts are 64-bit folds beside SHA-256: an 8-bit machine such as the Pravets 8M can recompute the register in 16-bit software arithmetic and compare content addresses, verifying that the kernel check happened without running the kernel.",
                "owes": "partial: clay serves part; owes: the kernel check, the census and the recompute with its limb count run here (clay tool: maxBits 33, maxLimbs16 3); the 16-bit-limb recomputer itself and the receipt-chain comparison on an 8-bit machine are not yet in this tree"
              },
              {
                "source": "qpu",
                "what": "1 lead(s), e.g. old-site-removal-gated: The old solutions (the VitePress site under docs/, its service worker and generated pages) are removed when the forked full stack answers the same addresses: the gate decodes the app's /u pages and the Worker's as copies of one value; until every combination agrees the old site serves beside the new, at whole uptime",
                "owes": "a cut-over before the gate agrees would break the live pages; the removal is the last step of the migration configure { kind: migration } names, and the app does not run yet"
              }
            ]
          },
          {
            "source": "oeis.org",
            "reached": true,
            "settled": 1,
            "why": "all settled",
            "open": []
          },
          {
            "source": "payloadcms.com",
            "reached": true,
            "settled": 0,
            "why": "3 open of 3",
            "open": [
              {
                "source": "payloadcms.com",
                "what": "1 lead(s), e.g. payload-cms-host: A Payload CMS instance is one more host to the discover tool: its MCP plugin endpoint lists a door per collection and verb (find, create, update, delete), its GraphQL endpoint answers introspection (a contract the discover tool now detects), its REST routes answer per collection; each collection would be a toolbox of its own, its skill the collection's schema, access rules and hooks.",
                "owes": "no Payload host is named in this tree; the discover tool takes any MCP endpoint in mcpHosts and reads its doors by capability, so the adapter is built from discovery the day a host is named, not from documentation"
              },
              {
                "source": "payloadcms.com",
                "what": "1 lead(s), e.g. payload-cms-default-plugins: Everything fits in Payload's default shapes with no custom collection: nested docs for the tree of pages and leads, SEO for every page's Open Graph from its UUID, localisation for every world's language, the lexical editor for prose, and shadcn blocks as the programmable blocks every tool result already is — the same blocks serving as hooks (a block that runs a tool), scopes (a block that bounds a tenant or a role) and relations (a block that links entries). MCP configures the default plugins in all their combinations: the toolboxes' doors are the configuration, read by discovery, never typed.",
                "owes": "imagined on 2026-10-25, strict: no custom collection; the default plugins (nested-docs, seo, form-builder, redirects, search, cloud-storage, import-export) in every combination are the configuration a Payload MCP host exposes, and the discover tool reads it; measurable only against a running instance: discover it, read its doors, then write the toolbox from what it answers"
              },
              {
                "source": "payloadcms.com",
                "what": "1 lead(s), e.g. textbook-theorems-via-payload-mcp: The replacement runs through the Payload MCP plugin as a client: payload { theorems, payloadUrl } plans the calls, picks the pages collection's find and update doors by what they take (a slug with a where; a slug with an id and data), never by a name, finds every page whose layout holds a qpu block without a theorem, and emits the update that writes the kernel-accepted key its example names into the block's theorem field (the block now carries one); proven on the plugin's documented shapes by two examples",
                "owes": "partial: payload serves part; owes: the tenant's Payload instance with the MCP plugin and a user API key (QPU_PAYLOAD_URL, QPU_PAYLOAD_API_KEY) are the tenant's to bring; the textbook step sends the calls once they are named"
              }
            ]
          },
          {
            "source": "modelcontextprotocol.io",
            "reached": true,
            "settled": 0,
            "why": "1 open of 1",
            "open": [
              {
                "source": "modelcontextprotocol.io",
                "what": "1 lead(s), e.g. mcp-ui-extension: The MCP UI extension lets a host render interactive views a server declares; this tree declares its widgets in _meta.widget as HTML and its blocks as shadcn registry items.",
                "owes": "partial: audit serves part; owes: the html and block are served; the extension's declared resource scheme and the host handshake are not implemented here, and the specification is still moving"
              }
            ]
          },
          {
            "source": "en.wikipedia.org",
            "reached": true,
            "settled": 1,
            "why": "1 open of 2",
            "open": [
              {
                "source": "en.wikipedia.org",
                "what": "1 lead(s), e.g. glagolitic-above-thousand: Glagolitic values above Ⱍ = 1000 (the letters after Črьvъ) and the titlo mark that multiplies by a thousand",
                "owes": "not in the table; the sources disagree on the later letters, so the table stops where they agree"
              }
            ]
          },
          {
            "source": "receipts.ndjson",
            "reached": true,
            "settled": 0,
            "why": "1 open of 1",
            "open": [
              {
                "source": "receipts.ndjson",
                "what": "1 lead(s), e.g. gap-time-witness: A receipt is dated by its own clock; the unit could date qpu's receipts by signing their ids, and qpu the unit's, so time has two witnesses.",
                "owes": "wired on 2026-10-25: prepare-commit-msg sends the message with its Receipt trailer to the unit's sign_commit, so the unit's fold dates the receipt as a Signed-by-unit trailer when the hosted door answers (it answers HTTP 500 today: lead gap-sign-door-hosted); the unit does not yet read qpu's stream itself, and an offline commit is unsigned and says so"
              }
            ]
          },
          {
            "source": "qpu.uuidna.com",
            "reached": true,
            "settled": 1,
            "why": "all settled",
            "open": []
          },
          {
            "source": "qpu.ceci.workers.dev",
            "reached": true,
            "settled": 0,
            "why": "1 open of 1",
            "open": [
              {
                "source": "qpu.ceci.workers.dev",
                "what": "1 lead(s), e.g. e2e-textbook-verify-edge: The end-to-end gate measured textbook { verify: true } answering nothing at the edge within 30 s on all three hosts (an erasure on every copy; the tree computes it); the verification wave over every example exceeds what one Worker request may compute",
                "owes": "the textbook verify wave at the edge is a quantum to split: one example per request, or the docket holding the wave between requests; until then the gate decodes the combination from the tree alone and names the erasure"
              }
            ]
          },
          {
            "source": "docs",
            "reached": true,
            "settled": 1,
            "why": "all settled",
            "open": []
          },
          {
            "source": "package.json",
            "reached": true,
            "settled": 1,
            "why": "all settled",
            "open": []
          },
          {
            "source": "api.githubcopilot.com",
            "reached": true,
            "settled": 0,
            "why": "1 open of 1",
            "open": [
              {
                "source": "api.githubcopilot.com",
                "what": "1 lead(s), e.g. github-mcp-integrated: GitHub's hosted MCP is integrated: discovered by default, the repository toolbox watches branches, tags and releases through its doors list_branches, list_tags and list_releases (via: mcp) when the tenant's token QPU_MCP_TOKEN_API_GITHUBCOPILOT_COM opens it, the event-stream answers read into the same watch; without the token the REST contract serves and the door stays named",
                "owes": "partial: repository serves part; owes: the token is the tenant's to set (a fine-grained PAT or the OAuth flow); the selftest proves the doors on fixtures, the live doors answer 401 until then"
              }
            ]
          },
          {
            "source": "docs.mcp.cloudflare.com",
            "reached": true,
            "settled": 0,
            "why": "1 open of 1",
            "open": [
              {
                "source": "docs.mcp.cloudflare.com",
                "what": "1 lead(s), e.g. cloudflare-mcps-integrated: Cloudflare's eight MCP servers are integrated: all discovered by default, the documentation server a verifier adapter in the open, each of the other seven mapped to the tree's capability it serves once the tenant's token opens it (bindings → the docket's mirrors, observability → the metrics, browser → the wave, radar → the audit, ai-gateway → the prose, dns-analytics → the tenants, autorag → the textbook), the map answered by extend as the integration matrix",
                "owes": "partial: extend serves part; owes: seven tokens are the tenant's to set; the mapped doors are read by discovery on the run after"
              }
            ]
          },
          {
            "source": "csrc.nist.gov",
            "reached": true,
            "settled": 1,
            "why": "all settled",
            "open": []
          },
          {
            "source": "registry.modelcontextprotocol.io",
            "reached": true,
            "settled": 1,
            "why": "all settled",
            "open": []
          },
          {
            "source": "platform.claude.com",
            "reached": true,
            "settled": 0,
            "why": "1 open of 1",
            "open": [
              {
                "source": "platform.claude.com",
                "what": "1 lead(s), e.g. claude-api-fused: The Claude API is fused as every MCP is: discovery reads its overview as a standard and names its Models door (401 until the tenant's key); outward, extend answers the Messages API registration that mounts this catalogue through the MCP connector — mcp_servers [{ type: url, url: https://qpu.uuidna.com/mcp, name: qpu }] with tools [{ type: mcp_toolset, mcp_server_name: qpu }] under the beta mcp-client-2025-11-20, the model claude-opus-5-5 — so a Claude request extends the QPU and the QPU extends Claude; inward, the legal audit and the prose tool take it as an operator agent only when the operator names it and the tenant's key is in the client's request, the free doors never overridden",
                "owes": "partial: extend serves part; owes: the key (ANTHROPIC_API_KEY per tenant) is the tenant's to set; the registration and the plan stand, proven on the documented shapes by the selftests"
              }
            ]
          },
          {
            "source": "quantumai.google",
            "reached": true,
            "settled": 221,
            "why": "2285 open of 2506",
            "open": [
              {
                "source": "quantumai.google",
                "what": "1 lead(s), e.g. research: Research publications: the page's title and description",
                "owes": "partial: statements serves part; owes: on 2026-10-25 quantumai.google/research returned HTTP 200 with the title \"Research Publications\" and the site description, which the research statement serves; its publication list is rendered by script and is not in the fetched HTML; research/publications returned HTTP 404"
              },
              {
                "source": "quantumai.google",
                "what": "1 lead(s), e.g. learn-map: Our quantum computing journey: the page's title and description",
                "owes": "partial: statements serves part; owes: on 2026-10-25 the page returned HTTP 200 (it was 404 to the earlier fetch) with its title and description, which the learn_map statement serves; the journey itself is an interactive map in a frame from dreamcoat-guggenheim.uc.r.appspot.com, whose text is not in the fetched HTML"
              },
              {
                "source": "quantumai.google",
                "what": "1 lead(s), e.g. learn: Learn overview",
                "owes": "the path is not in the sitemap and returned HTTP 404 on 2026-10-25; its children learn/map and learn/lab are in the sitemap and are served"
              },
              {
                "source": "quantumai.google",
                "what": "1 lead(s), e.g. quantumlib-documentation: Quantumlib documentation: tutorials, API references, and examples for all packages",
                "owes": "partial: leads serves part; owes: every documentation page of quantumai.google is a lead here, from the sitemap read whole; the repositories' own documentation on github.com is not fetched"
              },
              {
                "source": "quantumai.google",
                "what": "1 lead(s), e.g. chemistry-simulation-lead: Chemistry simulation: H₂ in STO-3G as a two-qubit Pauli Hamiltonian, its integrals computed here and checked against the tutorial's printed energies, and a VQE sweep on the simulator",
                "owes": "partial: chemistry-simulation serves part; owes: one molecule, H₂ in its minimal basis, is compiled and solved here; OpenFermion's general compilation of molecules and materials is not implemented"
              },
              {
                "source": "quantumai.google",
                "what": "1 lead(s), e.g. educational-videos: Educational videos: how-to guides on programming quantum computers, breakthroughs, and new tools",
                "owes": "partial: statements serves part; owes: the page's description of the videos is served; the videos are not text and are not carried"
              },
              {
                "source": "quantumai.google",
                "what": "18 lead(s), e.g. page:cirq/build: the page cirq/build",
                "owes": "in the sitemap (lastmod 2026-10-07); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "12 lead(s), e.g. page:cirq/build/classical_control: the page cirq/build/classical_control",
                "owes": "in the sitemap (lastmod 2026-10-10); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "7 lead(s), e.g. page:cirq/build/custom_gates: the page cirq/build/custom_gates",
                "owes": "in the sitemap (lastmod 2026-08-15); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "5 lead(s), e.g. page:cirq/build/ecosystem: the page cirq/build/ecosystem",
                "owes": "in the sitemap (lastmod 2026-09-11); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "16 lead(s), e.g. page:cirq/build/gates: the page cirq/build/gates",
                "owes": "in the sitemap (lastmod 2026-07-30); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "11 lead(s), e.g. page:cirq/dev/development: the page cirq/dev/development",
                "owes": "in the sitemap (lastmod 2026-09-22); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "104 lead(s), e.g. page:cirq/dev/modules: the page cirq/dev/modules",
                "owes": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "7 lead(s), e.g. page:cirq/dev/nomenclature: the page cirq/dev/nomenclature",
                "owes": "in the sitemap (lastmod 2026-07-22); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "3 lead(s), e.g. page:cirq/dev/release: the page cirq/dev/release",
                "owes": "in the sitemap (lastmod 2026-09-26); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "264 lead(s), e.g. page:cirq/dev/serialization: the page cirq/dev/serialization",
                "owes": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "1 lead(s), e.g. page:cirq/dev/style: the page cirq/dev/style",
                "owes": "in the sitemap (lastmod 2026-03-05); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "17 lead(s), e.g. page:cirq/experiments/benchmarks/rabi_oscillations: the page cirq/experiments/benchmarks/rabi_oscillations",
                "owes": "in the sitemap (lastmod 2026-03-06); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "1 lead(s), e.g. page:cirq/experiments/fermi_hubbard/publication_results: the page cirq/experiments/fermi_hubbard/publication_results",
                "owes": "in the sitemap (lastmod 2026-05-01); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "2 lead(s), e.g. page:cirq/experiments/otoc/otoc_example: the page cirq/experiments/otoc/otoc_example",
                "owes": "in the sitemap (lastmod 2026-05-29); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "1 lead(s), e.g. page:cirq/experiments/qaoa/binary_paintshop: the page cirq/experiments/qaoa/binary_paintshop",
                "owes": "in the sitemap (lastmod 2026-04-09); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "1 lead(s), e.g. page:cirq/experiments/qaoa/routing_with_tket: the page cirq/experiments/qaoa/routing_with_tket",
                "owes": "in the sitemap (lastmod 2026-04-16); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "197 lead(s), e.g. page:cirq/experiments/qec_memory/surface_code_lambda: the page cirq/experiments/qec_memory/surface_code_lambda",
                "owes": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "1 lead(s), e.g. page:cirq/experiments/random_circuit_sampling/rcs_experiment_demonstration: the page cirq/experiments/random_circuit_sampling/rcs_experiment_demonstration",
                "owes": "in the sitemap (lastmod 2026-09-29); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "2 lead(s), e.g. page:cirq/experiments/unitary/unitary/getting_started: the page cirq/experiments/unitary/unitary/getting_started",
                "owes": "in the sitemap (lastmod 2026-09-19); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "1 lead(s), e.g. page:cirq/google/specification: the page cirq/google/specification",
                "owes": "in the sitemap (lastmod 2026-08-06); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "5 lead(s), e.g. page:cirq/hardware/ionq/calibrations: the page cirq/hardware/ionq/calibrations",
                "owes": "in the sitemap (lastmod 2026-03-13); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "1 lead(s), e.g. page:cirq/hardware/ionq/service: the page cirq/hardware/ionq/service",
                "owes": "in the sitemap (lastmod 2026-09-18); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "11 lead(s), e.g. page:cirq/simulate/virtual_engine_interface: the page cirq/simulate/virtual_engine_interface",
                "owes": "in the sitemap (lastmod 2026-10-09); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "39 lead(s), e.g. page:openfermion/fqe/guide/introduction: the page openfermion/fqe/guide/introduction",
                "owes": "in the sitemap (lastmod 2026-07-03); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "1 lead(s), e.g. page:openfermion/fqe/tutorials/diagonal_coulomb_evolution: the page openfermion/fqe/tutorials/diagonal_coulomb_evolution",
                "owes": "in the sitemap (lastmod 2026-06-02); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "1 lead(s), e.g. page:openfermion/install: the page openfermion/install",
                "owes": "in the sitemap (lastmod 2026-10-13); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "501 lead(s), e.g. page:openfermion/tutorials/binary_code_transforms: the page openfermion/tutorials/binary_code_transforms",
                "owes": "in the sitemap (lastmod 2026-07-17); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "1 lead(s), e.g. page:qsim/bazel: the page qsim/bazel",
                "owes": "in the sitemap (lastmod 2026-10-22); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "9 lead(s), e.g. page:qsim/cirq_interface: the page qsim/cirq_interface",
                "owes": "in the sitemap (lastmod 2026-10-21); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "3 lead(s), e.g. page:qsim/mps: the page qsim/mps",
                "owes": "in the sitemap (lastmod 2026-09-04); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "1 lead(s), e.g. page:reference/cc/qsim/struct/qsim/cirq/c-c-x: API reference of qsim.struct.qsim.cirq.c-c-x, not implemented here",
                "owes": "in the sitemap (lastmod 2026-04-04); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "1 lead(s), e.g. page:reference/cc/qsim/struct/qsim/cirq/c-c-x-pow-gate: API reference of qsim.struct.qsim.cirq.c-c-x-pow-gate, not implemented here",
                "owes": "in the sitemap (lastmod 2026-03-18); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "1 lead(s), e.g. page:reference/cc/qsim/struct/qsim/cirq/i-swap-pow-gate: API reference of qsim.struct.qsim.cirq.i-swap-pow-gate, not implemented here",
                "owes": "in the sitemap (lastmod 2026-09-17); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "1 lead(s), e.g. page:reference/cc/qsim/struct/qsim/cirq/z-z: API reference of qsim.struct.qsim.cirq.z-z, not implemented here",
                "owes": "in the sitemap (lastmod 2026-03-27); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "1 lead(s), e.g. page:reference/cc/qsim/struct/qsim/gate-f-s: API reference of qsim.struct.qsim.gate-f-s, not implemented here",
                "owes": "in the sitemap (lastmod 2026-08-04); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "1 lead(s), e.g. page:reference/cc/qsim/struct/qsim/gate-r-z: API reference of qsim.struct.qsim.gate-r-z, not implemented here",
                "owes": "in the sitemap (lastmod 2026-07-19); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "4 lead(s), e.g. page:reference/python/cirq: the page reference/python/cirq",
                "owes": "in the sitemap (lastmod 2026-10-24); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "967 lead(s), e.g. page:reference/python/cirq/Alignment: API reference of cirq.Alignment, not implemented here",
                "owes": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "2 lead(s), e.g. page:reference/python/cirq/GateFamily: API reference of cirq.GateFamily, not implemented here",
                "owes": "in the sitemap (lastmod 2026-10-16); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "3 lead(s), e.g. page:reference/python/cirq/NoiseModel: API reference of cirq.NoiseModel, not implemented here",
                "owes": "in the sitemap (lastmod 2026-07-13); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "2 lead(s), e.g. page:reference/python/cirq/PauliSum: API reference of cirq.PauliSum, not implemented here",
                "owes": "in the sitemap (lastmod 2026-07-07); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "3 lead(s), e.g. page:reference/python/cirq/RandomGateChannel: API reference of cirq.RandomGateChannel, not implemented here",
                "owes": "in the sitemap (lastmod 2026-10-12); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "3 lead(s), e.g. page:reference/python/cirq/SimpleQubitManager: API reference of cirq.SimpleQubitManager, not implemented here",
                "owes": "in the sitemap (lastmod 2026-07-11); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "1 lead(s), e.g. page:reference/python/cirq/TwoQubitCompilationTargetGateset: API reference of cirq.TwoQubitCompilationTargetGateset, not implemented here",
                "owes": "in the sitemap (lastmod 2026-10-14); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "5 lead(s), e.g. page:reference/python/cirq/TwoQubitNumericalCompilationResult: API reference of cirq.TwoQubitNumericalCompilationResult, not implemented here",
                "owes": "in the sitemap (lastmod 2026-10-20); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "7 lead(s), e.g. page:reference/python/cirq/Zip: API reference of cirq.Zip, not implemented here",
                "owes": "in the sitemap (lastmod 2026-07-05); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "1 lead(s), e.g. page:reference/python/cirq/big_endian_int_to_bits: API reference of cirq.big_endian_int_to_bits, not implemented here",
                "owes": "in the sitemap (lastmod 2026-10-05); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "1 lead(s), e.g. page:reference/python/cirq/cirq_type_from_json: API reference of cirq.cirq_type_from_json, not implemented here",
                "owes": "in the sitemap (lastmod 2026-08-23); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "2 lead(s), e.g. page:reference/python/cirq/final_density_matrix: API reference of cirq.final_density_matrix, not implemented here",
                "owes": "in the sitemap (lastmod 2026-10-25); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "1 lead(s), e.g. page:reference/python/cirq_google/serialization/CircuitSerializer: API reference of cirq_google.serialization.CircuitSerializer, not implemented here",
                "owes": "in the sitemap (lastmod 2026-10-18); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "1 lead(s), e.g. page:reference/python/fqe/bitstring/reverse_integer_index: API reference of fqe.bitstring.reverse_integer_index, not implemented here",
                "owes": "in the sitemap (lastmod 2026-06-23); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "1 lead(s), e.g. page:reference/python/fqe/fci_graph_set/FciGraphSet: API reference of fqe.fci_graph_set.FciGraphSet, not implemented here",
                "owes": "in the sitemap (lastmod 2025-09-20); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "2 lead(s), e.g. page:reference/python/fqe/fqe_ops/fqe_ops_utils/switch_broken_symmetry: API reference of fqe.fqe_ops.fqe_ops_utils.switch_broken_symmetry, not implemented here",
                "owes": "in the sitemap (lastmod 2025-12-04); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "1 lead(s), e.g. page:reference/python/fqe/openfermion_utils/ascending_index_order: API reference of fqe.openfermion_utils.ascending_index_order, not implemented here",
                "owes": "in the sitemap (lastmod 2026-02-26); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "1 lead(s), e.g. page:reference/python/fqe/openfermion_utils/determinant_to_ops: API reference of fqe.openfermion_utils.determinant_to_ops, not implemented here",
                "owes": "in the sitemap (lastmod 2026-04-08); fetchable; no tool follows this page yet"
              },
              {
                "source": "quantumai.google",
                "what": "1 lead(s), e.g. page:reference/python/fqe/restricted_hamiltonian/RestrictedHamiltonian: API reference of fqe.restricted_hamiltonian.RestrictedHamiltonian, not implemented here",
                "owes": "in the sitemap (lastmod 2026-02-27); fetchable; no tool follows this page yet"
              },
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    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "052bb3af-623f-6678-ac68-32ddb917a682"
      },
      "example": "extend-in-docs"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "52a25f3d-761f-1f58-b5c4-87ec72b54981"
      },
      "example": "extend-call-served"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "eea79f99-1ff0-46a2-a881-c96dbb0ffcad"
      },
      "example": "fold-ledger"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "eaa24aba-a098-80b0-9d9f-00be85766747"
      },
      "example": "seal-text"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "07c78bfc-8516-2dd5-88dd-60b0d57d33ee"
      },
      "example": "textbook-categories"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "630df7ba-0ea2-1d96-965e-4ed86df6a7a1"
      },
      "example": "textbook-reuse"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "d60075fc-d392-294f-b1dc-99f141dc0fda"
      },
      "example": "vortex-trinity"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "e208a362-7157-1bab-8f26-dba497d529b6"
      },
      "example": "css-stylesheet"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "94f87633-ecc2-61e4-af84-f06b4b5e262a"
      },
      "example": "dashboard-processor"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "1ade21c5-1024-3c26-a5c1-12b3a15de2be"
      },
      "example": "dashboard-algorithm-narrowed"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "05b9b86e-2305-6a98-8923-e744a0f13386"
      },
      "example": "dashboard-index"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "212bb40c-9a61-8c93-b0b0-4029309103d3"
      },
      "example": "clone-language"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "8fc8bdc2-78d2-3b97-b7cd-d1319ede5177"
      },
      "example": "metrics-live"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "193550e8-665b-6a96-a507-30b5b6e1fee7"
      },
      "example": "processor-willow"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "9aff481b-3d9c-7ad9-90fd-2bb260c75498"
      },
      "example": "processor-sycamore"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "8b5cf7ba-6215-7914-b48e-ec77199aaec6"
      },
      "example": "circuit-hadamard-amplitudes"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "306a00f0-cfb3-7a39-aad3-f97d9716fca4"
      },
      "example": "circuit-hadamard-sampled"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "348a636f-4e19-8c71-8e08-bec16ba9fd1f"
      },
      "example": "circuit-bit-flip-noise"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "baabb9d4-2479-5c36-a086-3518ac22a5fb"
      },
      "example": "echo-returns"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "280b026a-c46d-81c1-b912-e511c19b3629"
      },
      "example": "echo-benchmark"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "22b7bc87-0cf8-11bf-aa7b-50c319494a76"
      },
      "example": "roadmap-all"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "0f5f0f93-b0ab-56fa-9efa-7c6ecd1e3d95"
      },
      "example": "roadmap-milestone-3"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "6b74c2ba-f20a-54e9-b4e9-6bf43fa50fa4"
      },
      "example": "algorithm-shor-15"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "5fd59e04-d761-8e01-becf-a6ae57a47291"
      },
      "example": "algorithm-qft-3"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "1ba7b772-0dd5-8e1b-8920-5a1f99a11dfd"
      },
      "example": "algorithm-grover"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "d7b77038-1a7d-193e-a79b-360d6eb7b58a"
      },
      "example": "algorithm-teleportation"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "2c1b84e8-4e11-7943-a99b-5d3ff553c371"
      },
      "example": "algorithm-phase-estimation"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "b2d82153-9d7a-63d9-904e-37bd98d44c10"
      },
      "example": "algorithm-qaoa"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "941ef62e-d97b-2438-bfc8-22ae9e5da781"
      },
      "example": "software"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "cf045c24-4162-80c8-af47-3aef3773ea54"
      },
      "example": "statements-cirq"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "c8ff34b6-4a58-49f5-8fb8-ae6ede24fd0c"
      },
      "example": "repositories"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "81e9c1a0-45b6-8632-b9a6-de3f30637515"
      },
      "example": "leads-all"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "34ef4c03-bee3-3cea-b2f7-2970fe3a447e"
      },
      "example": "qec-bit-flip-0.1"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "a67a70bc-0295-108e-a2e0-fdbc56563622"
      },
      "example": "chemistry-h2"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "f41cbc11-4002-37a1-94a3-fa5c4a912429"
      },
      "example": "ftqc-all"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "36105ef6-31bc-5d51-8b73-105065cc1b1f"
      },
      "example": "quantumlib-cirq"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "47444080-5364-8243-b4b5-dda883e07009"
      },
      "example": "clay-register"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "e7865186-29a6-3005-9a18-65e1b152f2d8"
      },
      "example": "clay-reflection"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "20e51f9f-aec0-2af3-89df-e9eea59639d3"
      },
      "example": "clay-relation-15"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "25dcba9d-b75a-7ace-83de-696a09e5ca55"
      },
      "example": "verify-seal-and-content"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "f93184e4-21a7-3659-8487-c672c549479f"
      },
      "example": "verify-tampered"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "b48ee89b-7274-2ed2-be93-49e96f8c2f15"
      },
      "example": "match-willow"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "041db96e-7eb1-5b03-8061-d6e5146c3dcb"
      },
      "example": "match-glagolitic"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "29ffb847-0fe5-8f00-94d2-4906dce3071e"
      },
      "example": "match-bulgarian"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "2d9ddf6e-29c8-1560-a159-b10bd6acf0d9"
      },
      "example": "match-theorem-first"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "51128ead-da96-269f-a616-c5954d747cda"
      },
      "example": "match-pattern-uuid"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "c4e0d882-e648-73e1-8745-ecf91b956890"
      },
      "example": "match-pattern-dashboard"
    },
    {
      "name": "compute_aura",
      "arguments": {
        "subject": "0cf11a61-f025-10c2-9d48-4ce83d2f4ee2"
      },
      "example": "match-rsa-2048"
    }
  ],
  "leads": 2700
}

e2e · e2e-requests

Phase one of the end-to-end gate for three tools: every dashboard cell and every example of theirs as a tools/call request to one host, each carrying the hash of the tree's own answer; without tools, every tool's.

{"name":"e2e","arguments":{"hosts":["https://qpu.uuidna.com/mcp"],"tools":["clay","processor","roadmap"]}}

✓ as expected

e2e · The end-to-end gate as a repetition code. Without answers: every combination the dashboards lay out and every example of the textbook, as one tools/call request per host (default the tenants' hosts and the operator's), each carrying the hash of the tree's own answer. With answers (each request plus status, ms, text): every combination decoded by majority over the tree and the hosts — agree, corrected (a flipped host, named by the syndrome), erased (a host that did not answer), uncorrectable (no majority) — the physical and logical error rates against the textbook 3-copy code, every error a UUID block for the stream, and the leads. Pure; the client fetches.

phase

requests

combos

13

requests

13

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "phase": "requests",
  "hosts": [
    "https://qpu.uuidna.com/mcp"
  ],
  "combos": 13,
  "requests": 13,
  "requestList": [
    {
      "id": "193550e8-665b-6a96-a507-30b5b6e1fee7@qpu.uuidna.com",
      "combo": "193550e8-665b-6a96-a507-30b5b6e1fee7",
      "tool": "processor",
      "toolbox": "google",
      "from": "example",
      "arguments": {
        "name": "Willow"
      },
      "host": "qpu.uuidna.com",
      "url": "https://qpu.uuidna.com/mcp",
      "method": "POST",
      "accept": "application/json, text/event-stream",
      "headers": {
        "if-none-match": "\"50377cf7-6808-6bd4-87db-a4fbe3699594\""
      },
      "body": {
        "jsonrpc": "2.0",
        "id": 1,
        "method": "tools/call",
        "params": {
          "name": "processor",
          "arguments": {
            "name": "Willow"
          }
        }
      },
      "local": "50377cf7-6808-6bd4-87db-a4fbe3699594"
    },
    {
      "id": "9aff481b-3d9c-7ad9-90fd-2bb260c75498@qpu.uuidna.com",
      "combo": "9aff481b-3d9c-7ad9-90fd-2bb260c75498",
      "tool": "processor",
      "toolbox": "google",
      "from": "example",
      "arguments": {
        "name": "Sycamore"
      },
      "host": "qpu.uuidna.com",
      "url": "https://qpu.uuidna.com/mcp",
      "method": "POST",
      "accept": "application/json, text/event-stream",
      "headers": {
        "if-none-match": "\"ca9255bd-9998-6373-b5a8-35240387277d\""
      },
      "body": {
        "jsonrpc": "2.0",
        "id": 1,
        "method": "tools/call",
        "params": {
          "name": "processor",
          "arguments": {
            "name": "Sycamore"
          }
        }
      },
      "local": "ca9255bd-9998-6373-b5a8-35240387277d"
    },
    {
      "id": "22b7bc87-0cf8-11bf-aa7b-50c319494a76@qpu.uuidna.com",
      "combo": "22b7bc87-0cf8-11bf-aa7b-50c319494a76",
      "tool": "roadmap",
      "toolbox": "google",
      "from": "example",
      "arguments": {},
      "host": "qpu.uuidna.com",
      "url": "https://qpu.uuidna.com/mcp",
      "method": "POST",
      "accept": "application/json, text/event-stream",
      "headers": {
        "if-none-match": "\"63f15270-fd9b-29e6-b684-71368afcdebe\""
      },
      "body": {
        "jsonrpc": "2.0",
        "id": 1,
        "method": "tools/call",
        "params": {
          "name": "roadmap",
          "arguments": {}
        }
      },
      "local": "63f15270-fd9b-29e6-b684-71368afcdebe"
    },
    {
      "id": "0f5f0f93-b0ab-56fa-9efa-7c6ecd1e3d95@qpu.uuidna.com",
      "combo": "0f5f0f93-b0ab-56fa-9efa-7c6ecd1e3d95",
      "tool": "roadmap",
      "toolbox": "google",
      "from": "example",
      "arguments": {
        "milestone": 3
      },
      "host": "qpu.uuidna.com",
      "url": "https://qpu.uuidna.com/mcp",
      "method": "POST",
      "accept": "application/json, text/event-stream",
      "headers": {
        "if-none-match": "\"872f9597-b9ba-865f-943d-51a0b566e70b\""
      },
      "body": {
        "jsonrpc": "2.0",
        "id": 1,
        "method": "tools/call",
        "params": {
          "name": "roadmap",
          "arguments": {
            "milestone": 3
          }
        }
      },
      "local": "872f9597-b9ba-865f-943d-51a0b566e70b"
    },
    {
      "id": "47444080-5364-8243-b4b5-dda883e07009@qpu.uuidna.com",
      "combo": "47444080-5364-8243-b4b5-dda883e07009",
      "tool": "clay",
      "toolbox": "tree",
      "from": "example",
      "arguments": {},
      "host": "qpu.uuidna.com",
      "url": "https://qpu.uuidna.com/mcp",
      "method": "POST",
      "accept": "application/json, text/event-stream",
      "headers": {
        "if-none-match": "\"922978ef-ed16-8e25-a195-6021b9bf6ee4\""
      },
      "body": {
        "jsonrpc": "2.0",
        "id": 1,
        "method": "tools/call",
        "params": {
          "name": "clay",
          "arguments": {}
        }
      },
      "local": "922978ef-ed16-8e25-a195-6021b9bf6ee4"
    },
    {
      "id": "e7865186-29a6-3005-9a18-65e1b152f2d8@qpu.uuidna.com",
      "combo": "e7865186-29a6-3005-9a18-65e1b152f2d8",
      "tool": "clay",
      "toolbox": "tree",
      "from": "example",
      "arguments": {
        "technique": "reflection"
      },
      "host": "qpu.uuidna.com",
      "url": "https://qpu.uuidna.com/mcp",
      "method": "POST",
      "accept": "application/json, text/event-stream",
      "headers": {
        "if-none-match": "\"8cd3568c-2123-5cd5-a14f-6f6100c81997\""
      },
      "body": {
        "jsonrpc": "2.0",
        "id": 1,
        "method": "tools/call",
        "params": {
          "name": "clay",
          "arguments": {
            "technique": "reflection"
          }
        }
      },
      "local": "8cd3568c-2123-5cd5-a14f-6f6100c81997"
    },
    {
      "id": "20e51f9f-aec0-2af3-89df-e9eea59639d3@qpu.uuidna.com",
      "combo": "20e51f9f-aec0-2af3-89df-e9eea59639d3",
      "tool": "clay",
      "toolbox": "tree",
      "from": "example",
      "arguments": {
        "name": "relation_15"
      },
      "host": "qpu.uuidna.com",
      "url": "https://qpu.uuidna.com/mcp",
      "method": "POST",
      "accept": "application/json, text/event-stream",
      "headers": {
        "if-none-match": "\"1bde28bf-3f08-350f-b9a5-7bf827516e3f\""
      },
      "body": {
        "jsonrpc": "2.0",
        "id": 1,
        "method": "tools/call",
        "params": {
          "name": "clay",
          "arguments": {
            "name": "relation_15"
          }
        }
      },
      "local": "1bde28bf-3f08-350f-b9a5-7bf827516e3f"
    },
    {
      "id": "8609c2bf-6af5-2e34-9055-5c8429503963@qpu.uuidna.com",
      "combo": "8609c2bf-6af5-2e34-9055-5c8429503963",
      "tool": "processor",
      "toolbox": "google",
      "from": "cell",
      "arguments": {
        "name": "Sycamore23"
      },
      "host": "qpu.uuidna.com",
      "url": "https://qpu.uuidna.com/mcp",
      "method": "POST",
      "accept": "application/json, text/event-stream",
      "headers": {
        "if-none-match": "\"da4408ab-4a04-2462-9d41-8f7238e983e1\""
      },
      "body": {
        "jsonrpc": "2.0",
        "id": 1,
        "method": "tools/call",
        "params": {
          "name": "processor",
          "arguments": {
            "name": "Sycamore23"
          }
        }
      },
      "local": "da4408ab-4a04-2462-9d41-8f7238e983e1"
    },
    {
      "id": "0f581393-b0a5-157b-af09-9f262e053d37@qpu.uuidna.com",
      "combo": "0f581393-b0a5-157b-af09-9f262e053d37",
      "tool": "roadmap",
      "toolbox": "google",
      "from": "cell",
      "arguments": {
        "milestone": 1
      },
      "host": "qpu.uuidna.com",
      "url": "https://qpu.uuidna.com/mcp",
      "method": "POST",
      "accept": "application/json, text/event-stream",
      "headers": {
        "if-none-match": "\"492f02b7-c69c-7b37-b1f5-a74e6933da5a\""
      },
      "body": {
        "jsonrpc": "2.0",
        "id": 1,
        "method": "tools/call",
        "params": {
          "name": "roadmap",
          "arguments": {
            "milestone": 1
          }
        }
      },
      "local": "492f02b7-c69c-7b37-b1f5-a74e6933da5a"
    },
    {
      "id": "0f5b1393-b0a7-68d9-bf51-c11b47733498@qpu.uuidna.com",
      "combo": "0f5b1393-b0a7-68d9-bf51-c11b47733498",
      "tool": "roadmap",
      "toolbox": "google",
      "from": "cell",
      "arguments": {
        "milestone": 2
      },
      "host": "qpu.uuidna.com",
      "url": "https://qpu.uuidna.com/mcp",
      "method": "POST",
      "accept": "application/json, text/event-stream",
      "headers": {
        "if-none-match": "\"547972fe-5204-579f-9041-c6054653d538\""
      },
      "body": {
        "jsonrpc": "2.0",
        "id": 1,
        "method": "tools/call",
        "params": {
          "name": "roadmap",
          "arguments": {
            "milestone": 2
          }
        }
      },
      "local": "547972fe-5204-579f-9041-c6054653d538"
    },
    {
      "id": "0f470f93-b096-3ddb-b3f6-85b528cbde8e@qpu.uuidna.com",
      "combo": "0f470f93-b096-3ddb-b3f6-85b528cbde8e",
      "tool": "roadmap",
      "toolbox": "google",
      "from": "cell",
      "arguments": {
        "milestone": 4
      },
      "host": "qpu.uuidna.com",
      "url": "https://qpu.uuidna.com/mcp",
      "method": "POST",
      "accept": "application/json, text/event-stream",
      "headers": {
        "if-none-match": "\"b472ff3f-7aa3-7d0c-a15c-59dbf0f88142\""
      },
      "body": {
        "jsonrpc": "2.0",
        "id": 1,
        "method": "tools/call",
        "params": {
          "name": "roadmap",
          "arguments": {
            "milestone": 4
          }
        }
      },
      "local": "b472ff3f-7aa3-7d0c-a15c-59dbf0f88142"
    },
    {
      "id": "0f4a1393-b099-11a6-b83e-c349886cde43@qpu.uuidna.com",
      "combo": "0f4a1393-b099-11a6-b83e-c349886cde43",
      "tool": "roadmap",
      "toolbox": "google",
      "from": "cell",
      "arguments": {
        "milestone": 5
      },
      "host": "qpu.uuidna.com",
      "url": "https://qpu.uuidna.com/mcp",
      "method": "POST",
      "accept": "application/json, text/event-stream",
      "headers": {
        "if-none-match": "\"3e6729f8-b453-58c8-a40e-28fd18396a54\""
      },
      "body": {
        "jsonrpc": "2.0",
        "id": 1,
        "method": "tools/call",
        "params": {
          "name": "roadmap",
          "arguments": {
            "milestone": 5
          }
        }
      },
      "local": "3e6729f8-b453-58c8-a40e-28fd18396a54"
    },
    {
      "id": "0f4e1393-b09d-5033-8133-549036e91504@qpu.uuidna.com",
      "combo": "0f4e1393-b09d-5033-8133-549036e91504",
      "tool": "roadmap",
      "toolbox": "google",
      "from": "cell",
      "arguments": {
        "milestone": 6
      },
      "host": "qpu.uuidna.com",
      "url": "https://qpu.uuidna.com/mcp",
      "method": "POST",
      "accept": "application/json, text/event-stream",
      "headers": {
        "if-none-match": "\"d176b0b5-0035-7506-8177-b7c386822de7\""
      },
      "body": {
        "jsonrpc": "2.0",
        "id": 1,
        "method": "tools/call",
        "params": {
          "name": "roadmap",
          "arguments": {
            "milestone": 6
          }
        }
      },
      "local": "d176b0b5-0035-7506-8177-b7c386822de7"
    }
  ]
}

imagine · imagine-two

Two leads imagined: one served by the processor tool, one blocked (a 404), plus the leads every schema and application family open.

{"name":"imagine","arguments":{"leads":["willow-spec","learn"]}}

✓ as expected

imagine · Imagination leads all leads: every lead (or the subset named) matched with the reflection on — hidden factors, angles, mirror queries, cluster, verification requests — every reflection that finds something a new open lead, every untried enum value of every schema a lead, every application family an adaptor to build. Pure.

leads

2

served

0

impossible

2

unknown

0

verifyRequests

177

imaginedLeads

156

ms

9

page

--- title: Imagination order: 54 --- # Imagination leads all leads Generated by `npm run next` on 2026-10-25T21:38:32.257Z in 0.0 s through the `imagine` tool: every one of the 2 leads matched with the reflection on. | Verdict | Leads | |---|---:| | served | 0 | | impossible | 2 | | unknown | 0 | | verification requests emitted | 177 | | leads imagined (new, open) | 156 | ## Imagined leads | Lead | Statement | From | |---|---|---| | angle-repetitions-105 | σ_10000(105) = 9895 on repetitions; QFT angle 0.065973 rad | reflection of lead willow-spec | | schema-processor-name-sycamore23 | processor accepts name = "Sycamore23" and no documented example exercises it | tools/list processor.name | | schema-circuit-insert-earliest | circuit accepts insert = "EARLIEST" and no documented example exercises it | tools/list circuit.insert | | schema-circuit-insert-new | circuit accepts insert = "NEW" and no documented example exercises it | tools/list circuit.insert | | schema-circuit-insert-inline | circuit accepts insert = "INLINE" and no documented example exercises it | tools/list circuit.insert | | schema-circuit-insert-new-then-inline | circuit accepts insert = "NEW_THEN_INLINE" and no documented example exercises it | tools/list circuit.insert | | schema-circuit-device-willow | circuit accepts device = "Willow" and no documented example exercises it | tools/list circuit.device | | schema-circuit-device-sycamore | circuit accepts device = "Sycamore" and no documented example exercises it | tools/list circuit.device | | schema-circuit-device-sycamore23 | circuit accepts device = "Sycamore23" and no documented example exercises it | tools/list circuit.device | | schema-circuit-device-noise-willow-error-correction | circuit accepts device_noise = "willow_error_correction" and no documented example exercises it | tools/list circuit.device_noise | | schema-circuit-device-noise-willow-random-circuit-sampling | circuit accepts device_noise = "willow_random_circuit_sampling" and no documented example exercises it | tools/list circuit.device_noise | | schema-algorithm-name-inverse-qft | algorithm accepts name = "inverse_qft" and no documented example exercises it | tools/list algorithm.name | | schema-statements-topic-definition | statements accepts topic = "definition" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-progress | statements accepts topic = "progress" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-responsibility | statements accepts topic = "responsibility" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-vision | statements accepts topic = "vision" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-hardware | statements accepts topic = "hardware" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-early-access | statements accepts topic = "early_access" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-neutral-atoms | statements accepts topic = "neutral_atoms" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-sycamore-gates | statements accepts topic = "sycamore_gates" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-echoes-preprint | statements accepts topic = "echoes_preprint" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-campus | statements accepts topic = "campus" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-campus-announcement | statements accepts topic = "campus_announcement" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-qsim | statements accepts topic = "qsim" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-qualtran | statements accepts topic = "qualtran" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-openfermion | statements accepts topic = "openfermion" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-cirq-known-devices | statements accepts topic = "cirq_known_devices" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-pauli-observables | statements accepts topic = "pauli_observables" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-noise-representation | statements accepts topic = "noise_representation" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-histograms | statements accepts topic = "histograms" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-transformers | statements accepts topic = "transformers" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-custom-transformers | statements accepts topic = "custom_transformers" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-kpz-experiment | statements accepts topic = "kpz_experiment" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-echoes-tutorial | statements accepts topic = "echoes_tutorial" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-qcqmc | statements accepts topic = "qcqmc" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-hfvqe | statements accepts topic = "hfvqe" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-hardware-changes | statements accepts topic = "hardware_changes" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-google-concepts | statements accepts topic = "google_concepts" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-qsim-hardware | statements accepts topic = "qsim_hardware" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-openfermion-projects | statements accepts topic = "openfermion_projects" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-cirq-basics | statements accepts topic = "cirq_basics" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-qsimcirq | statements accepts topic = "qsimcirq" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-basis-change | statements accepts topic = "basis_change" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-sitemap | statements accepts topic = "sitemap" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-resources | statements accepts topic = "resources" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-qubit-game | statements accepts topic = "qubit_game" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-lab-tour | statements accepts topic = "lab_tour" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-learn-map | statements accepts topic = "learn_map" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-research | statements accepts topic = "research" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-qec-milestone | statements accepts topic = "qec_milestone" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-weber-datasheet | statements accepts topic = "weber_datasheet" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-full-stack | statements accepts topic = "full_stack" and no documented example exercises it | tools/list statements.topic | | schema-statements-topic-aps-summit | statements accepts topic = "aps_summit" and no documented example exercises it | tools/list statements.topic | | schema-quantum-error-correction-code-bit-flip | quantum-error-correction accepts code = "bit_flip" and no documented example exercises it | tools/list quantum-error-correction.code | | schema-quantum-error-correction-code-phase-flip | quantum-error-correction accepts code = "phase_flip" and no documented example exercises it | tools/list quantum-error-correction.code | | schema-quantum-error-correction-channel-bit-flip | quantum-error-correction accepts channel = "bit_flip" and no documented example exercises it | tools/list quantum-error-correction.channel | | schema-quantum-error-correction-channel-phase-flip | quantum-error-correction accepts channel = "phase_flip" and no documented example exercises it | tools/list quantum-error-correction.channel | | schema-quantum-error-correction-channel-depolarize | quantum-error-correction accepts channel = "depolarize" and no documented example exercises it | tools/list quantum-error-correction.channel | | schema-quantum-error-correction-logical-0 | quantum-error-correction accepts logical = "0" and no documented example exercises it | tools/list quantum-error-correction.logical | | schema-quantum-error-correction-logical-1 | quantum-error-correction accepts logical = "1" and no documented example exercises it | tools/list quantum-error-correction.logical | | schema-quantum-error-correction-logical-- | quantum-error-correction accepts logical = "+" and no documented example exercises it | tools/list quantum-error-correction.logical | | schema-fault-tolerant-design-circuit-qft | fault-tolerant-design accepts circuit = "qft" and no documented example exercises it | tools/list fault-tolerant-design.circuit | | schema-fault-tolerant-design-circuit-grover | fault-tolerant-design accepts circuit = "grover" and no documented example exercises it | tools/list fault-tolerant-design.circuit | | schema-fault-tolerant-design-circuit-teleportation | fault-tolerant-design accepts circuit = "teleportation" and no documented example exercises it | tools/list fault-tolerant-design.circuit | | schema-fault-tolerant-design-circuit-shor | fault-tolerant-design accepts circuit = "shor" and no documented example exercises it | tools/list fault-tolerant-design.circuit | | schema-fault-tolerant-design-circuit-qaoa | fault-tolerant-design accepts circuit = "qaoa" and no documented example exercises it | tools/list fault-tolerant-design.circuit | | schema-fault-tolerant-design-circuit-qec | fault-tolerant-design accepts circuit = "qec" and no documented example exercises it | tools/list fault-tolerant-design.circuit | | schema-fault-tolerant-design-circuit-all | fault-tolerant-design accepts circuit = "all" and no documented example exercises it | tools/list fault-tolerant-design.circuit | | schema-leads-status-served | leads accepts status = "served" and no documented example exercises it | tools/list leads.status | | schema-leads-status-partial | leads accepts status = "partial" and no documented example exercises it | tools/list leads.status | | schema-leads-status-blocked | leads accepts status = "blocked" and no documented example exercises it | tools/list leads.status | | schema-leads-status-out-of-scope | leads accepts status = "out_of_scope" and no documented example exercises it | tools/list leads.status | | schema-leads-status-open | leads accepts status = "open" and no documented example exercises it | tools/list leads.status | | schema-match-locale-en | match accepts locale = "en" and no documented example exercises it | tools/list match.locale | | schema-match-locale-de | match accepts locale = "de" and no documented example exercises it | tools/list match.locale | | schema-match-locale-fr | match accepts locale = "fr" and no documented example exercises it | tools/list match.locale | | schema-match-locale-es | match accepts locale = "es" and no documented example exercises it | tools/list match.locale | | schema-match-locale-it | match accepts locale = "it" and no documented example exercises it | tools/list match.locale | | schema-match-locale-ru | match accepts locale = "ru" and no documented example exercises it | tools/list match.locale | | schema-match-locale-zh | match accepts locale = "zh" and no documented example exercises it | tools/list match.locale | | schema-match-locale-ja | match accepts locale = "ja" and no documented example exercises it | tools/list match.locale | | schema-match-locale-pt | match accepts locale = "pt" and no documented example exercises it | tools/list match.locale | | schema-match-locale-nl | match accepts locale = "nl" and no documented example exercises it | tools/list match.locale | | schema-textbook-category-toolbox | textbook accepts category = "toolbox" and no documented example exercises it | tools/list textbook.category | | schema-textbook-category-tool | textbook accepts category = "tool" and no documented example exercises it | tools/list textbook.category | | schema-textbook-category-theorem | textbook accepts category = "theorem" and no documented example exercises it | tools/list textbook.category | | schema-textbook-category-module | textbook accepts category = "module" and no documented example exercises it | tools/list textbook.category | | schema-translate-from-bg | translate accepts from = "bg" and no documented example exercises it | tools/list translate.from | | schema-translate-from-de | translate accepts from = "de" and no documented example exercises it | tools/list translate.from | | schema-translate-from-fr | translate accepts from = "fr" and no documented example exercises it | tools/list translate.from | | schema-translate-from-es | translate accepts from = "es" and no documented example exercises it | tools/list translate.from | | schema-translate-from-it | translate accepts from = "it" and no documented example exercises it | tools/list translate.from | | schema-translate-from-ru | translate accepts from = "ru" and no documented example exercises it | tools/list translate.from | | schema-translate-from-zh | translate accepts from = "zh" and no documented example exercises it | tools/list translate.from | | schema-translate-from-ja | translate accepts from = "ja" and no documented example exercises it | tools/list translate.from | | schema-translate-from-pt | translate accepts from = "pt" and no documented example exercises it | tools/list translate.from | | schema-translate-from-nl | translate accepts from = "nl" and no documented example exercises it | tools/list translate.from | | schema-translate-to-en | translate accepts to = "en" and no documented example exercises it | tools/list translate.to | | schema-translate-to-de | translate accepts to = "de" and no documented example exercises it | tools/list translate.to | | schema-translate-to-fr | translate accepts to = "fr" and no documented example exercises it | tools/list translate.to | | schema-translate-to-es | translate accepts to = "es" and no documented example exercises it | tools/list translate.to | | schema-translate-to-it | translate accepts to = "it" and no documented example exercises it | tools/list translate.to | | schema-translate-to-ru | translate accepts to = "ru" and no documented example exercises it | tools/list translate.to | | schema-translate-to-zh | translate accepts to = "zh" and no documented example exercises it | tools/list translate.to | | schema-translate-to-ja | translate accepts to = "ja" and no documented example exercises it | tools/list translate.to | | schema-translate-to-pt | translate accepts to = "pt" and no documented example exercises it | tools/list translate.to | | schema-translate-to-nl | translate accepts to = "nl" and no documented example exercises it | tools/list translate.to | | schema-prose-locale-en | prose accepts locale = "en" and no documented example exercises it | tools/list prose.locale | | schema-prose-locale-de | prose accepts locale = "de" and no documented example exercises it | tools/list prose.locale | | schema-prose-locale-fr | prose accepts locale = "fr" and no documented example exercises it | tools/list prose.locale | | schema-prose-locale-es | prose accepts locale = "es" and no documented example exercises it | tools/list prose.locale | | schema-prose-locale-it | prose accepts locale = "it" and no documented example exercises it | tools/list prose.locale | | schema-prose-locale-ru | prose accepts locale = "ru" and no documented example exercises it | tools/list prose.locale | | schema-prose-locale-zh | prose accepts locale = "zh" and no documented example exercises it | tools/list prose.locale | | schema-prose-locale-ja | prose accepts locale = "ja" and no documented example exercises it | tools/list prose.locale | | schema-prose-locale-pt | prose accepts locale = "pt" and no documented example exercises it | tools/list prose.locale | | schema-prose-locale-nl | prose accepts locale = "nl" and no documented example exercises it | tools/list prose.locale | | schema-mongo-op-insert | mongo accepts op = "insert" and no documented example exercises it | tools/list mongo.op | | schema-mongo-op-delete | mongo accepts op = "delete" and no documented example exercises it | tools/list mongo.op | | schema-stripe-op-state | stripe accepts op = "state" and no documented example exercises it | tools/list stripe.op | | schema-stripe-op-usage | stripe accepts op = "usage" and no documented example exercises it | tools/list stripe.op | | schema-stripe-op-settle | stripe accepts op = "settle" and no documented example exercises it | tools/list stripe.op | | schema-repository-via-rest | repository accepts via = "rest" and no documented example exercises it | tools/list repository.via | | schema-repository-via-mcp | repository accepts via = "mcp" and no documented example exercises it | tools/list repository.via | | schema-jsonld-kind-page | jsonld accepts kind = "page" and no documented example exercises it | tools/list jsonld.kind | | schema-jsonld-kind-offer | jsonld accepts kind = "offer" and no documented example exercises it | tools/list jsonld.kind | | schema-jsonld-locale-en | jsonld accepts locale = "en" and no documented example exercises it | tools/list jsonld.locale | | schema-jsonld-locale-bg | jsonld accepts locale = "bg" and no documented example exercises it | tools/list jsonld.locale | | schema-jsonld-locale-de | jsonld accepts locale = "de" and no documented example exercises it | tools/list jsonld.locale | | schema-jsonld-locale-fr | jsonld accepts locale = "fr" and no documented example exercises it | tools/list jsonld.locale | | schema-jsonld-locale-es | jsonld accepts locale = "es" and no documented example exercises it | tools/list jsonld.locale | | schema-jsonld-locale-it | jsonld accepts locale = "it" and no documented example exercises it | tools/list jsonld.locale | | schema-jsonld-locale-ru | jsonld accepts locale = "ru" and no documented example exercises it | tools/list jsonld.locale | | schema-jsonld-locale-zh | jsonld accepts locale = "zh" and no documented example exercises it | tools/list jsonld.locale | | schema-jsonld-locale-ja | jsonld accepts locale = "ja" and no documented example exercises it | tools/list jsonld.locale | | schema-jsonld-locale-pt | jsonld accepts locale = "pt" and no documented example exercises it | tools/list jsonld.locale | | schema-jsonld-locale-nl | jsonld accepts locale = "nl" and no documented example exercises it | tools/list jsonld.locale | | schema-configure-kind-pwa | configure accepts kind = "pwa" and no documented example exercises it | tools/list configure.kind | | schema-configure-kind-mcp | configure accepts kind = "mcp" and no documented example exercises it | tools/list configure.kind | | schema-extend-direction-both | extend accepts direction = "both" and no documented example exercises it | tools/list extend.direction | | application-iot-sensing | IoT sensing: an adaptor that writes { kind: "reading", from: device, body: { quantity, unit, value, at } }; verified by source-page or nist-codata for the refer | the docket contract | | application-iot-actuation | IoT actuation: an adaptor that writes { kind: "command", from: controller, body: { target, action, at } } and the device's { kind: "ack" }; verified by the ack | the docket contract | | application-lab-instruments | lab instruments: an adaptor that writes { kind: "measurement", from: instrument, body: { observable, value, uncertainty } }; verified by nist-codata, oeis for i | the docket contract | | application-phones-and-kiosks | phones and kiosks: an adaptor that writes the block a human device renders (widget, Open Graph, shadcn item); verified by the audit's widget and licence checks | the docket contract | | application-assistive-devices | assistive devices: an adaptor that writes the same block, read aloud or in braille from its HTML structure; verified by an accessibility audit of the widgets | the docket contract | | application-energy-meters | energy meters: an adaptor that writes { kind: "reading", from: meter, body: { kWh, at } }; verified by the grid operator's public interval data where published | the docket contract | | application-vehicles | vehicles: an adaptor that writes { kind: "reading", from: vehicle, body: { position, speed, at } }; verified by a public map or transit feed | the docket contract | | application-wearables | wearables: an adaptor that writes { kind: "reading", from: wearable, body: { heartRate, at } } under the wearer's consent; verified by no public verifier: the w | the docket contract | | application-education-kits | education kits: an adaptor that writes { kind: "result", from: kit, body: { exercise, answer } } (the Qubit Game is a lead already); verified by the surface's o | the docket contract | | application-other-mcp-servers | other MCP servers: an adaptor that writes { kind: "reply", from: host, body: the tools/call result }; verified by the host's own receipt; the unit's fan-out nam | the docket contract | | fact-kind-reading | no verifier registers the fact kind "reading" that the application leads would write | src/quantum/verifiers.ts | | fact-kind-command | no verifier registers the fact kind "command" that the application leads would write | src/quantum/verifiers.ts | | fact-kind-ack | no verifier registers the fact kind "ack" that the application leads would write | src/quantum/verifiers.ts | | fact-kind-measurement | no verifier registers the fact kind "measurement" that the application leads would write | src/quantum/verifiers.ts | | fact-kind-result | no verifier registers the fact kind "result" that the application leads would write | src/quantum/verifiers.ts | | fact-kind-reply | no verifier registers the fact kind "reply" that the application leads would write | src/quantum/verifiers.ts | ## Every lead, imagined | Lead | Status | Verdict | Tool | Cluster | Verify | Factors | Angles | Mirrors | Opened | |---|---|---|---|---:|---:|---:|---:|---:|---:| | willow-spec | served | impossible | — | 49 | 158 | 0 | 2 | 5 | 2 | | learn | blocked | impossible | — | 6 | 19 | 0 | 0 | 0 | 0 |

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "leads": 2,
  "served": 0,
  "impossible": 2,
  "unknown": 0,
  "verifyRequests": 177,
  "imaginedLeads": 156,
  "ms": 9,
  "imagination": {
    "leads": 2,
    "verdicts": {
      "served": 0,
      "impossible": 2,
      "unknown": 0
    },
    "verifyRequests": 177,
    "imaginedLeads": 156,
    "rows": [
      {
        "lead": "willow-spec",
        "status": "served",
        "verdict": "impossible",
        "cluster": 49,
        "verify": 158,
        "factors": 0,
        "angles": 2,
        "queries": 5,
        "opened": 2
      },
      {
        "lead": "learn",
        "status": "blocked",
        "verdict": "impossible",
        "cluster": 6,
        "verify": 19,
        "factors": 0,
        "angles": 0,
        "queries": 0,
        "opened": 0
      }
    ],
    "imagined": [
      {
        "id": "angle-repetitions-105",
        "source": "reflection of lead willow-spec",
        "statement": "σ_10000(105) = 9895 on repetitions; QFT angle 0.065973 rad",
        "status": "open",
        "reason": "an angle in the reflection; Qpu.Sigma proves σ_d(σ_d(x)) = x"
      },
      {
        "id": "schema-processor-name-sycamore23",
        "source": "tools/list processor.name",
        "statement": "processor accepts name = \"Sycamore23\" and no documented example exercises it",
        "status": "open",
        "tool": "processor",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-circuit-insert-earliest",
        "source": "tools/list circuit.insert",
        "statement": "circuit accepts insert = \"EARLIEST\" and no documented example exercises it",
        "status": "open",
        "tool": "circuit",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-circuit-insert-new",
        "source": "tools/list circuit.insert",
        "statement": "circuit accepts insert = \"NEW\" and no documented example exercises it",
        "status": "open",
        "tool": "circuit",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-circuit-insert-inline",
        "source": "tools/list circuit.insert",
        "statement": "circuit accepts insert = \"INLINE\" and no documented example exercises it",
        "status": "open",
        "tool": "circuit",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-circuit-insert-new-then-inline",
        "source": "tools/list circuit.insert",
        "statement": "circuit accepts insert = \"NEW_THEN_INLINE\" and no documented example exercises it",
        "status": "open",
        "tool": "circuit",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-circuit-device-willow",
        "source": "tools/list circuit.device",
        "statement": "circuit accepts device = \"Willow\" and no documented example exercises it",
        "status": "open",
        "tool": "circuit",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-circuit-device-sycamore",
        "source": "tools/list circuit.device",
        "statement": "circuit accepts device = \"Sycamore\" and no documented example exercises it",
        "status": "open",
        "tool": "circuit",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-circuit-device-sycamore23",
        "source": "tools/list circuit.device",
        "statement": "circuit accepts device = \"Sycamore23\" and no documented example exercises it",
        "status": "open",
        "tool": "circuit",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-circuit-device-noise-willow-error-correction",
        "source": "tools/list circuit.device_noise",
        "statement": "circuit accepts device_noise = \"willow_error_correction\" and no documented example exercises it",
        "status": "open",
        "tool": "circuit",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-circuit-device-noise-willow-random-circuit-sampling",
        "source": "tools/list circuit.device_noise",
        "statement": "circuit accepts device_noise = \"willow_random_circuit_sampling\" and no documented example exercises it",
        "status": "open",
        "tool": "circuit",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-algorithm-name-inverse-qft",
        "source": "tools/list algorithm.name",
        "statement": "algorithm accepts name = \"inverse_qft\" and no documented example exercises it",
        "status": "open",
        "tool": "algorithm",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-definition",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"definition\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-progress",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"progress\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-responsibility",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"responsibility\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-vision",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"vision\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-hardware",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"hardware\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-early-access",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"early_access\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-neutral-atoms",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"neutral_atoms\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-sycamore-gates",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"sycamore_gates\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-echoes-preprint",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"echoes_preprint\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-campus",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"campus\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-campus-announcement",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"campus_announcement\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-qsim",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"qsim\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-qualtran",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"qualtran\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-openfermion",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"openfermion\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-cirq-known-devices",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"cirq_known_devices\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-pauli-observables",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"pauli_observables\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-noise-representation",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"noise_representation\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-histograms",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"histograms\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-transformers",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"transformers\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-custom-transformers",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"custom_transformers\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-kpz-experiment",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"kpz_experiment\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-echoes-tutorial",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"echoes_tutorial\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-qcqmc",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"qcqmc\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-hfvqe",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"hfvqe\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-hardware-changes",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"hardware_changes\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-google-concepts",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"google_concepts\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-qsim-hardware",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"qsim_hardware\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-openfermion-projects",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"openfermion_projects\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-cirq-basics",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"cirq_basics\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-qsimcirq",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"qsimcirq\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-basis-change",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"basis_change\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-sitemap",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"sitemap\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-resources",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"resources\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-qubit-game",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"qubit_game\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-lab-tour",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"lab_tour\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-learn-map",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"learn_map\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-research",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"research\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-qec-milestone",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"qec_milestone\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-weber-datasheet",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"weber_datasheet\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-full-stack",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"full_stack\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-statements-topic-aps-summit",
        "source": "tools/list statements.topic",
        "statement": "statements accepts topic = \"aps_summit\" and no documented example exercises it",
        "status": "open",
        "tool": "statements",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-quantum-error-correction-code-bit-flip",
        "source": "tools/list quantum-error-correction.code",
        "statement": "quantum-error-correction accepts code = \"bit_flip\" and no documented example exercises it",
        "status": "open",
        "tool": "quantum-error-correction",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-quantum-error-correction-code-phase-flip",
        "source": "tools/list quantum-error-correction.code",
        "statement": "quantum-error-correction accepts code = \"phase_flip\" and no documented example exercises it",
        "status": "open",
        "tool": "quantum-error-correction",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-quantum-error-correction-channel-bit-flip",
        "source": "tools/list quantum-error-correction.channel",
        "statement": "quantum-error-correction accepts channel = \"bit_flip\" and no documented example exercises it",
        "status": "open",
        "tool": "quantum-error-correction",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-quantum-error-correction-channel-phase-flip",
        "source": "tools/list quantum-error-correction.channel",
        "statement": "quantum-error-correction accepts channel = \"phase_flip\" and no documented example exercises it",
        "status": "open",
        "tool": "quantum-error-correction",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-quantum-error-correction-channel-depolarize",
        "source": "tools/list quantum-error-correction.channel",
        "statement": "quantum-error-correction accepts channel = \"depolarize\" and no documented example exercises it",
        "status": "open",
        "tool": "quantum-error-correction",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-quantum-error-correction-logical-0",
        "source": "tools/list quantum-error-correction.logical",
        "statement": "quantum-error-correction accepts logical = \"0\" and no documented example exercises it",
        "status": "open",
        "tool": "quantum-error-correction",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-quantum-error-correction-logical-1",
        "source": "tools/list quantum-error-correction.logical",
        "statement": "quantum-error-correction accepts logical = \"1\" and no documented example exercises it",
        "status": "open",
        "tool": "quantum-error-correction",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-quantum-error-correction-logical--",
        "source": "tools/list quantum-error-correction.logical",
        "statement": "quantum-error-correction accepts logical = \"+\" and no documented example exercises it",
        "status": "open",
        "tool": "quantum-error-correction",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-fault-tolerant-design-circuit-qft",
        "source": "tools/list fault-tolerant-design.circuit",
        "statement": "fault-tolerant-design accepts circuit = \"qft\" and no documented example exercises it",
        "status": "open",
        "tool": "fault-tolerant-design",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-fault-tolerant-design-circuit-grover",
        "source": "tools/list fault-tolerant-design.circuit",
        "statement": "fault-tolerant-design accepts circuit = \"grover\" and no documented example exercises it",
        "status": "open",
        "tool": "fault-tolerant-design",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-fault-tolerant-design-circuit-teleportation",
        "source": "tools/list fault-tolerant-design.circuit",
        "statement": "fault-tolerant-design accepts circuit = \"teleportation\" and no documented example exercises it",
        "status": "open",
        "tool": "fault-tolerant-design",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-fault-tolerant-design-circuit-shor",
        "source": "tools/list fault-tolerant-design.circuit",
        "statement": "fault-tolerant-design accepts circuit = \"shor\" and no documented example exercises it",
        "status": "open",
        "tool": "fault-tolerant-design",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-fault-tolerant-design-circuit-qaoa",
        "source": "tools/list fault-tolerant-design.circuit",
        "statement": "fault-tolerant-design accepts circuit = \"qaoa\" and no documented example exercises it",
        "status": "open",
        "tool": "fault-tolerant-design",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-fault-tolerant-design-circuit-qec",
        "source": "tools/list fault-tolerant-design.circuit",
        "statement": "fault-tolerant-design accepts circuit = \"qec\" and no documented example exercises it",
        "status": "open",
        "tool": "fault-tolerant-design",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-fault-tolerant-design-circuit-all",
        "source": "tools/list fault-tolerant-design.circuit",
        "statement": "fault-tolerant-design accepts circuit = \"all\" and no documented example exercises it",
        "status": "open",
        "tool": "fault-tolerant-design",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-leads-status-served",
        "source": "tools/list leads.status",
        "statement": "leads accepts status = \"served\" and no documented example exercises it",
        "status": "open",
        "tool": "leads",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-leads-status-partial",
        "source": "tools/list leads.status",
        "statement": "leads accepts status = \"partial\" and no documented example exercises it",
        "status": "open",
        "tool": "leads",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-leads-status-blocked",
        "source": "tools/list leads.status",
        "statement": "leads accepts status = \"blocked\" and no documented example exercises it",
        "status": "open",
        "tool": "leads",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-leads-status-out-of-scope",
        "source": "tools/list leads.status",
        "statement": "leads accepts status = \"out_of_scope\" and no documented example exercises it",
        "status": "open",
        "tool": "leads",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-leads-status-open",
        "source": "tools/list leads.status",
        "statement": "leads accepts status = \"open\" and no documented example exercises it",
        "status": "open",
        "tool": "leads",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-match-locale-en",
        "source": "tools/list match.locale",
        "statement": "match accepts locale = \"en\" and no documented example exercises it",
        "status": "open",
        "tool": "match",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-match-locale-de",
        "source": "tools/list match.locale",
        "statement": "match accepts locale = \"de\" and no documented example exercises it",
        "status": "open",
        "tool": "match",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-match-locale-fr",
        "source": "tools/list match.locale",
        "statement": "match accepts locale = \"fr\" and no documented example exercises it",
        "status": "open",
        "tool": "match",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-match-locale-es",
        "source": "tools/list match.locale",
        "statement": "match accepts locale = \"es\" and no documented example exercises it",
        "status": "open",
        "tool": "match",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-match-locale-it",
        "source": "tools/list match.locale",
        "statement": "match accepts locale = \"it\" and no documented example exercises it",
        "status": "open",
        "tool": "match",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-match-locale-ru",
        "source": "tools/list match.locale",
        "statement": "match accepts locale = \"ru\" and no documented example exercises it",
        "status": "open",
        "tool": "match",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-match-locale-zh",
        "source": "tools/list match.locale",
        "statement": "match accepts locale = \"zh\" and no documented example exercises it",
        "status": "open",
        "tool": "match",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-match-locale-ja",
        "source": "tools/list match.locale",
        "statement": "match accepts locale = \"ja\" and no documented example exercises it",
        "status": "open",
        "tool": "match",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-match-locale-pt",
        "source": "tools/list match.locale",
        "statement": "match accepts locale = \"pt\" and no documented example exercises it",
        "status": "open",
        "tool": "match",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-match-locale-nl",
        "source": "tools/list match.locale",
        "statement": "match accepts locale = \"nl\" and no documented example exercises it",
        "status": "open",
        "tool": "match",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-textbook-category-toolbox",
        "source": "tools/list textbook.category",
        "statement": "textbook accepts category = \"toolbox\" and no documented example exercises it",
        "status": "open",
        "tool": "textbook",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-textbook-category-tool",
        "source": "tools/list textbook.category",
        "statement": "textbook accepts category = \"tool\" and no documented example exercises it",
        "status": "open",
        "tool": "textbook",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-textbook-category-theorem",
        "source": "tools/list textbook.category",
        "statement": "textbook accepts category = \"theorem\" and no documented example exercises it",
        "status": "open",
        "tool": "textbook",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-textbook-category-module",
        "source": "tools/list textbook.category",
        "statement": "textbook accepts category = \"module\" and no documented example exercises it",
        "status": "open",
        "tool": "textbook",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-translate-from-bg",
        "source": "tools/list translate.from",
        "statement": "translate accepts from = \"bg\" and no documented example exercises it",
        "status": "open",
        "tool": "translate",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-translate-from-de",
        "source": "tools/list translate.from",
        "statement": "translate accepts from = \"de\" and no documented example exercises it",
        "status": "open",
        "tool": "translate",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-translate-from-fr",
        "source": "tools/list translate.from",
        "statement": "translate accepts from = \"fr\" and no documented example exercises it",
        "status": "open",
        "tool": "translate",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-translate-from-es",
        "source": "tools/list translate.from",
        "statement": "translate accepts from = \"es\" and no documented example exercises it",
        "status": "open",
        "tool": "translate",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-translate-from-it",
        "source": "tools/list translate.from",
        "statement": "translate accepts from = \"it\" and no documented example exercises it",
        "status": "open",
        "tool": "translate",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-translate-from-ru",
        "source": "tools/list translate.from",
        "statement": "translate accepts from = \"ru\" and no documented example exercises it",
        "status": "open",
        "tool": "translate",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-translate-from-zh",
        "source": "tools/list translate.from",
        "statement": "translate accepts from = \"zh\" and no documented example exercises it",
        "status": "open",
        "tool": "translate",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-translate-from-ja",
        "source": "tools/list translate.from",
        "statement": "translate accepts from = \"ja\" and no documented example exercises it",
        "status": "open",
        "tool": "translate",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-translate-from-pt",
        "source": "tools/list translate.from",
        "statement": "translate accepts from = \"pt\" and no documented example exercises it",
        "status": "open",
        "tool": "translate",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-translate-from-nl",
        "source": "tools/list translate.from",
        "statement": "translate accepts from = \"nl\" and no documented example exercises it",
        "status": "open",
        "tool": "translate",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-translate-to-en",
        "source": "tools/list translate.to",
        "statement": "translate accepts to = \"en\" and no documented example exercises it",
        "status": "open",
        "tool": "translate",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-translate-to-de",
        "source": "tools/list translate.to",
        "statement": "translate accepts to = \"de\" and no documented example exercises it",
        "status": "open",
        "tool": "translate",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-translate-to-fr",
        "source": "tools/list translate.to",
        "statement": "translate accepts to = \"fr\" and no documented example exercises it",
        "status": "open",
        "tool": "translate",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-translate-to-es",
        "source": "tools/list translate.to",
        "statement": "translate accepts to = \"es\" and no documented example exercises it",
        "status": "open",
        "tool": "translate",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-translate-to-it",
        "source": "tools/list translate.to",
        "statement": "translate accepts to = \"it\" and no documented example exercises it",
        "status": "open",
        "tool": "translate",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-translate-to-ru",
        "source": "tools/list translate.to",
        "statement": "translate accepts to = \"ru\" and no documented example exercises it",
        "status": "open",
        "tool": "translate",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-translate-to-zh",
        "source": "tools/list translate.to",
        "statement": "translate accepts to = \"zh\" and no documented example exercises it",
        "status": "open",
        "tool": "translate",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-translate-to-ja",
        "source": "tools/list translate.to",
        "statement": "translate accepts to = \"ja\" and no documented example exercises it",
        "status": "open",
        "tool": "translate",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-translate-to-pt",
        "source": "tools/list translate.to",
        "statement": "translate accepts to = \"pt\" and no documented example exercises it",
        "status": "open",
        "tool": "translate",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-translate-to-nl",
        "source": "tools/list translate.to",
        "statement": "translate accepts to = \"nl\" and no documented example exercises it",
        "status": "open",
        "tool": "translate",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-prose-locale-en",
        "source": "tools/list prose.locale",
        "statement": "prose accepts locale = \"en\" and no documented example exercises it",
        "status": "open",
        "tool": "prose",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-prose-locale-de",
        "source": "tools/list prose.locale",
        "statement": "prose accepts locale = \"de\" and no documented example exercises it",
        "status": "open",
        "tool": "prose",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-prose-locale-fr",
        "source": "tools/list prose.locale",
        "statement": "prose accepts locale = \"fr\" and no documented example exercises it",
        "status": "open",
        "tool": "prose",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-prose-locale-es",
        "source": "tools/list prose.locale",
        "statement": "prose accepts locale = \"es\" and no documented example exercises it",
        "status": "open",
        "tool": "prose",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-prose-locale-it",
        "source": "tools/list prose.locale",
        "statement": "prose accepts locale = \"it\" and no documented example exercises it",
        "status": "open",
        "tool": "prose",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-prose-locale-ru",
        "source": "tools/list prose.locale",
        "statement": "prose accepts locale = \"ru\" and no documented example exercises it",
        "status": "open",
        "tool": "prose",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-prose-locale-zh",
        "source": "tools/list prose.locale",
        "statement": "prose accepts locale = \"zh\" and no documented example exercises it",
        "status": "open",
        "tool": "prose",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-prose-locale-ja",
        "source": "tools/list prose.locale",
        "statement": "prose accepts locale = \"ja\" and no documented example exercises it",
        "status": "open",
        "tool": "prose",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-prose-locale-pt",
        "source": "tools/list prose.locale",
        "statement": "prose accepts locale = \"pt\" and no documented example exercises it",
        "status": "open",
        "tool": "prose",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-prose-locale-nl",
        "source": "tools/list prose.locale",
        "statement": "prose accepts locale = \"nl\" and no documented example exercises it",
        "status": "open",
        "tool": "prose",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-mongo-op-insert",
        "source": "tools/list mongo.op",
        "statement": "mongo accepts op = \"insert\" and no documented example exercises it",
        "status": "open",
        "tool": "mongo",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-mongo-op-delete",
        "source": "tools/list mongo.op",
        "statement": "mongo accepts op = \"delete\" and no documented example exercises it",
        "status": "open",
        "tool": "mongo",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-stripe-op-state",
        "source": "tools/list stripe.op",
        "statement": "stripe accepts op = \"state\" and no documented example exercises it",
        "status": "open",
        "tool": "stripe",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-stripe-op-usage",
        "source": "tools/list stripe.op",
        "statement": "stripe accepts op = \"usage\" and no documented example exercises it",
        "status": "open",
        "tool": "stripe",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-stripe-op-settle",
        "source": "tools/list stripe.op",
        "statement": "stripe accepts op = \"settle\" and no documented example exercises it",
        "status": "open",
        "tool": "stripe",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-repository-via-rest",
        "source": "tools/list repository.via",
        "statement": "repository accepts via = \"rest\" and no documented example exercises it",
        "status": "open",
        "tool": "repository",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-repository-via-mcp",
        "source": "tools/list repository.via",
        "statement": "repository accepts via = \"mcp\" and no documented example exercises it",
        "status": "open",
        "tool": "repository",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-jsonld-kind-page",
        "source": "tools/list jsonld.kind",
        "statement": "jsonld accepts kind = \"page\" and no documented example exercises it",
        "status": "open",
        "tool": "jsonld",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-jsonld-kind-offer",
        "source": "tools/list jsonld.kind",
        "statement": "jsonld accepts kind = \"offer\" and no documented example exercises it",
        "status": "open",
        "tool": "jsonld",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-jsonld-locale-en",
        "source": "tools/list jsonld.locale",
        "statement": "jsonld accepts locale = \"en\" and no documented example exercises it",
        "status": "open",
        "tool": "jsonld",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-jsonld-locale-bg",
        "source": "tools/list jsonld.locale",
        "statement": "jsonld accepts locale = \"bg\" and no documented example exercises it",
        "status": "open",
        "tool": "jsonld",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-jsonld-locale-de",
        "source": "tools/list jsonld.locale",
        "statement": "jsonld accepts locale = \"de\" and no documented example exercises it",
        "status": "open",
        "tool": "jsonld",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-jsonld-locale-fr",
        "source": "tools/list jsonld.locale",
        "statement": "jsonld accepts locale = \"fr\" and no documented example exercises it",
        "status": "open",
        "tool": "jsonld",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-jsonld-locale-es",
        "source": "tools/list jsonld.locale",
        "statement": "jsonld accepts locale = \"es\" and no documented example exercises it",
        "status": "open",
        "tool": "jsonld",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-jsonld-locale-it",
        "source": "tools/list jsonld.locale",
        "statement": "jsonld accepts locale = \"it\" and no documented example exercises it",
        "status": "open",
        "tool": "jsonld",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-jsonld-locale-ru",
        "source": "tools/list jsonld.locale",
        "statement": "jsonld accepts locale = \"ru\" and no documented example exercises it",
        "status": "open",
        "tool": "jsonld",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-jsonld-locale-zh",
        "source": "tools/list jsonld.locale",
        "statement": "jsonld accepts locale = \"zh\" and no documented example exercises it",
        "status": "open",
        "tool": "jsonld",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-jsonld-locale-ja",
        "source": "tools/list jsonld.locale",
        "statement": "jsonld accepts locale = \"ja\" and no documented example exercises it",
        "status": "open",
        "tool": "jsonld",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-jsonld-locale-pt",
        "source": "tools/list jsonld.locale",
        "statement": "jsonld accepts locale = \"pt\" and no documented example exercises it",
        "status": "open",
        "tool": "jsonld",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-jsonld-locale-nl",
        "source": "tools/list jsonld.locale",
        "statement": "jsonld accepts locale = \"nl\" and no documented example exercises it",
        "status": "open",
        "tool": "jsonld",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-configure-kind-pwa",
        "source": "tools/list configure.kind",
        "statement": "configure accepts kind = \"pwa\" and no documented example exercises it",
        "status": "open",
        "tool": "configure",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-configure-kind-mcp",
        "source": "tools/list configure.kind",
        "statement": "configure accepts kind = \"mcp\" and no documented example exercises it",
        "status": "open",
        "tool": "configure",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "schema-extend-direction-both",
        "source": "tools/list extend.direction",
        "statement": "extend accepts direction = \"both\" and no documented example exercises it",
        "status": "open",
        "tool": "extend",
        "reason": "an untried door of the schema; add the example and its expectation, or remove the value"
      },
      {
        "id": "application-iot-sensing",
        "source": "the docket contract",
        "statement": "IoT sensing: an adaptor that writes { kind: \"reading\", from: device, body: { quantity, unit, value, at } }; verified by source-page or nist-codata for the reference value",
        "status": "open",
        "reason": "the docket accepts the entry today; the adaptor, its schema and its verifier are the lead"
      },
      {
        "id": "application-iot-actuation",
        "source": "the docket contract",
        "statement": "IoT actuation: an adaptor that writes { kind: \"command\", from: controller, body: { target, action, at } } and the device's { kind: \"ack\" }; verified by the ack entry linked to the command",
        "status": "open",
        "reason": "the docket accepts the entry today; the adaptor, its schema and its verifier are the lead"
      },
      {
        "id": "application-lab-instruments",
        "source": "the docket contract",
        "statement": "lab instruments: an adaptor that writes { kind: \"measurement\", from: instrument, body: { observable, value, uncertainty } }; verified by nist-codata, oeis for integer counts",
        "status": "open",
        "reason": "the docket accepts the entry today; the adaptor, its schema and its verifier are the lead"
      },
      {
        "id": "application-phones-and-kiosks",
        "source": "the docket contract",
        "statement": "phones and kiosks: an adaptor that writes the block a human device renders (widget, Open Graph, shadcn item); verified by the audit's widget and licence checks",
        "status": "open",
        "reason": "the docket accepts the entry today; the adaptor, its schema and its verifier are the lead"
      },
      {
        "id": "application-assistive-devices",
        "source": "the docket contract",
        "statement": "assistive devices: an adaptor that writes the same block, read aloud or in braille from its HTML structure; verified by an accessibility audit of the widgets",
        "status": "open",
        "reason": "the docket accepts the entry today; the adaptor, its schema and its verifier are the lead"
      },
      {
        "id": "application-energy-meters",
        "source": "the docket contract",
        "statement": "energy meters: an adaptor that writes { kind: \"reading\", from: meter, body: { kWh, at } }; verified by the grid operator's public interval data where published",
        "status": "open",
        "reason": "the docket accepts the entry today; the adaptor, its schema and its verifier are the lead"
      },
      {
        "id": "application-vehicles",
        "source": "the docket contract",
        "statement": "vehicles: an adaptor that writes { kind: \"reading\", from: vehicle, body: { position, speed, at } }; verified by a public map or transit feed",
        "status": "open",
        "reason": "the docket accepts the entry today; the adaptor, its schema and its verifier are the lead"
      },
      {
        "id": "application-wearables",
        "source": "the docket contract",
        "statement": "wearables: an adaptor that writes { kind: \"reading\", from: wearable, body: { heartRate, at } } under the wearer's consent; verified by no public verifier: the wearer is the witness",
        "status": "open",
        "reason": "the docket accepts the entry today; the adaptor, its schema and its verifier are the lead"
      },
      {
        "id": "application-education-kits",
        "source": "the docket contract",
        "statement": "education kits: an adaptor that writes { kind: \"result\", from: kit, body: { exercise, answer } } (the Qubit Game is a lead already); verified by the surface's own tools recompute the exercise",
        "status": "open",
        "reason": "the docket accepts the entry today; the adaptor, its schema and its verifier are the lead"
      },
      {
        "id": "application-other-mcp-servers",
        "source": "the docket contract",
        "statement": "other MCP servers: an adaptor that writes { kind: \"reply\", from: host, body: the tools/call result }; verified by the host's own receipt; the unit's fan-out names the hosts",
        "status": "open",
        "reason": "the docket accepts the entry today; the adaptor, its schema and its verifier are the lead"
      },
      {
        "id": "fact-kind-reading",
        "source": "src/quantum/verifiers.ts",
        "statement": "no verifier registers the fact kind \"reading\" that the application leads would write",
        "status": "open",
        "reason": "register the kind and its free verifier with the first adaptor"
      },
      {
        "id": "fact-kind-command",
        "source": "src/quantum/verifiers.ts",
        "statement": "no verifier registers the fact kind \"command\" that the application leads would write",
        "status": "open",
        "reason": "register the kind and its free verifier with the first adaptor"
      },
      {
        "id": "fact-kind-ack",
        "source": "src/quantum/verifiers.ts",
        "statement": "no verifier registers the fact kind \"ack\" that the application leads would write",
        "status": "open",
        "reason": "register the kind and its free verifier with the first adaptor"
      },
      {
        "id": "fact-kind-measurement",
        "source": "src/quantum/verifiers.ts",
        "statement": "no verifier registers the fact kind \"measurement\" that the application leads would write",
        "status": "open",
        "reason": "register the kind and its free verifier with the first adaptor"
      },
      {
        "id": "fact-kind-result",
        "source": "src/quantum/verifiers.ts",
        "statement": "no verifier registers the fact kind \"result\" that the application leads would write",
        "status": "open",
        "reason": "register the kind and its free verifier with the first adaptor"
      },
      {
        "id": "fact-kind-reply",
        "source": "src/quantum/verifiers.ts",
        "statement": "no verifier registers the fact kind \"reply\" that the application leads would write",
        "status": "open",
        "reason": "register the kind and its free verifier with the first adaptor"
      }
    ]
  },
  "page": "---\ntitle: Imagination\norder: 54\n---\n\n# Imagination leads all leads\n\nGenerated by `npm run next` on 2026-10-25T21:38:32.257Z in 0.0 s through the `imagine` tool: every one of the 2 leads matched with the reflection on.\n\n| Verdict | Leads |\n|---|---:|\n| served | 0 |\n| impossible | 2 |\n| unknown | 0 |\n| verification requests emitted | 177 |\n| leads imagined (new, open) | 156 |\n\n## Imagined leads\n\n| Lead | Statement | From |\n|---|---|---|\n| angle-repetitions-105 | σ_10000(105) = 9895 on repetitions; QFT angle 0.065973 rad | reflection of lead willow-spec |\n| schema-processor-name-sycamore23 | processor accepts name = \"Sycamore23\" and no documented example exercises it | tools/list processor.name |\n| schema-circuit-insert-earliest | circuit accepts insert = \"EARLIEST\" and no documented example exercises it | tools/list circuit.insert |\n| schema-circuit-insert-new | circuit accepts insert = \"NEW\" and no documented example exercises it | tools/list circuit.insert |\n| schema-circuit-insert-inline | circuit accepts insert = \"INLINE\" and no documented example exercises it | tools/list circuit.insert |\n| schema-circuit-insert-new-then-inline | circuit accepts insert = \"NEW_THEN_INLINE\" and no documented example exercises it | tools/list circuit.insert |\n| schema-circuit-device-willow | circuit accepts device = \"Willow\" and no documented example exercises it | tools/list circuit.device |\n| schema-circuit-device-sycamore | circuit accepts device = \"Sycamore\" and no documented example exercises it | tools/list circuit.device |\n| schema-circuit-device-sycamore23 | circuit accepts device = \"Sycamore23\" and no documented example exercises it | tools/list circuit.device |\n| schema-circuit-device-noise-willow-error-correction | circuit accepts device_noise = \"willow_error_correction\" and no documented example exercises it | tools/list circuit.device_noise |\n| schema-circuit-device-noise-willow-random-circuit-sampling | circuit accepts device_noise = \"willow_random_circuit_sampling\" and no documented example exercises it | tools/list circuit.device_noise |\n| schema-algorithm-name-inverse-qft | algorithm accepts name = \"inverse_qft\" and no documented example exercises it | tools/list algorithm.name |\n| schema-statements-topic-definition | statements accepts topic = \"definition\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-progress | statements accepts topic = \"progress\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-responsibility | statements accepts topic = \"responsibility\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-vision | statements accepts topic = \"vision\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-hardware | statements accepts topic = \"hardware\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-early-access | statements accepts topic = \"early_access\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-neutral-atoms | statements accepts topic = \"neutral_atoms\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-sycamore-gates | statements accepts topic = \"sycamore_gates\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-echoes-preprint | statements accepts topic = \"echoes_preprint\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-campus | statements accepts topic = \"campus\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-campus-announcement | statements accepts topic = \"campus_announcement\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-qsim | statements accepts topic = \"qsim\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-qualtran | statements accepts topic = \"qualtran\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-openfermion | statements accepts topic = \"openfermion\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-cirq-known-devices | statements accepts topic = \"cirq_known_devices\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-pauli-observables | statements accepts topic = \"pauli_observables\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-noise-representation | statements accepts topic = \"noise_representation\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-histograms | statements accepts topic = \"histograms\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-transformers | statements accepts topic = \"transformers\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-custom-transformers | statements accepts topic = \"custom_transformers\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-kpz-experiment | statements accepts topic = \"kpz_experiment\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-echoes-tutorial | statements accepts topic = \"echoes_tutorial\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-qcqmc | statements accepts topic = \"qcqmc\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-hfvqe | statements accepts topic = \"hfvqe\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-hardware-changes | statements accepts topic = \"hardware_changes\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-google-concepts | statements accepts topic = \"google_concepts\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-qsim-hardware | statements accepts topic = \"qsim_hardware\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-openfermion-projects | statements accepts topic = \"openfermion_projects\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-cirq-basics | statements accepts topic = \"cirq_basics\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-qsimcirq | statements accepts topic = \"qsimcirq\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-basis-change | statements accepts topic = \"basis_change\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-sitemap | statements accepts topic = \"sitemap\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-resources | statements accepts topic = \"resources\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-qubit-game | statements accepts topic = \"qubit_game\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-lab-tour | statements accepts topic = \"lab_tour\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-learn-map | statements accepts topic = \"learn_map\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-research | statements accepts topic = \"research\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-qec-milestone | statements accepts topic = \"qec_milestone\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-weber-datasheet | statements accepts topic = \"weber_datasheet\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-full-stack | statements accepts topic = \"full_stack\" and no documented example exercises it | tools/list statements.topic |\n| schema-statements-topic-aps-summit | statements accepts topic = \"aps_summit\" and no documented example exercises it | tools/list statements.topic |\n| schema-quantum-error-correction-code-bit-flip | quantum-error-correction accepts code = \"bit_flip\" and no documented example exercises it | tools/list quantum-error-correction.code |\n| schema-quantum-error-correction-code-phase-flip | quantum-error-correction accepts code = \"phase_flip\" and no documented example exercises it | tools/list quantum-error-correction.code |\n| schema-quantum-error-correction-channel-bit-flip | quantum-error-correction accepts channel = \"bit_flip\" and no documented example exercises it | tools/list quantum-error-correction.channel |\n| schema-quantum-error-correction-channel-phase-flip | quantum-error-correction accepts channel = \"phase_flip\" and no documented example exercises it | tools/list quantum-error-correction.channel |\n| schema-quantum-error-correction-channel-depolarize | quantum-error-correction accepts channel = \"depolarize\" and no documented example exercises it | tools/list quantum-error-correction.channel |\n| schema-quantum-error-correction-logical-0 | quantum-error-correction accepts logical = \"0\" and no documented example exercises it | tools/list quantum-error-correction.logical |\n| schema-quantum-error-correction-logical-1 | quantum-error-correction accepts logical = \"1\" and no documented example exercises it | tools/list quantum-error-correction.logical |\n| schema-quantum-error-correction-logical-- | quantum-error-correction accepts logical = \"+\" and no documented example exercises it | tools/list quantum-error-correction.logical |\n| schema-fault-tolerant-design-circuit-qft | fault-tolerant-design accepts circuit = \"qft\" and no documented example exercises it | tools/list fault-tolerant-design.circuit |\n| schema-fault-tolerant-design-circuit-grover | fault-tolerant-design accepts circuit = \"grover\" and no documented example exercises it | tools/list fault-tolerant-design.circuit |\n| schema-fault-tolerant-design-circuit-teleportation | fault-tolerant-design accepts circuit = \"teleportation\" and no documented example exercises it | tools/list fault-tolerant-design.circuit |\n| schema-fault-tolerant-design-circuit-shor | fault-tolerant-design accepts circuit = \"shor\" and no documented example exercises it | tools/list fault-tolerant-design.circuit |\n| schema-fault-tolerant-design-circuit-qaoa | fault-tolerant-design accepts circuit = \"qaoa\" and no documented example exercises it | tools/list fault-tolerant-design.circuit |\n| schema-fault-tolerant-design-circuit-qec | fault-tolerant-design accepts circuit = \"qec\" and no documented example exercises it | tools/list fault-tolerant-design.circuit |\n| schema-fault-tolerant-design-circuit-all | fault-tolerant-design accepts circuit = \"all\" and no documented example exercises it | tools/list fault-tolerant-design.circuit |\n| schema-leads-status-served | leads accepts status = \"served\" and no documented example exercises it | tools/list leads.status |\n| schema-leads-status-partial | leads accepts status = \"partial\" and no documented example exercises it | tools/list leads.status |\n| schema-leads-status-blocked | leads accepts status = \"blocked\" and no documented example exercises it | tools/list leads.status |\n| schema-leads-status-out-of-scope | leads accepts status = \"out_of_scope\" and no documented example exercises it | tools/list leads.status |\n| schema-leads-status-open | leads accepts status = \"open\" and no documented example exercises it | tools/list leads.status |\n| schema-match-locale-en | match accepts locale = \"en\" and no documented example exercises it | tools/list match.locale |\n| schema-match-locale-de | match accepts locale = \"de\" and no documented example exercises it | tools/list match.locale |\n| schema-match-locale-fr | match accepts locale = \"fr\" and no documented example exercises it | tools/list match.locale |\n| schema-match-locale-es | match accepts locale = \"es\" and no documented example exercises it | tools/list match.locale |\n| schema-match-locale-it | match accepts locale = \"it\" and no documented example exercises it | tools/list match.locale |\n| schema-match-locale-ru | match accepts locale = \"ru\" and no documented example exercises it | tools/list match.locale |\n| schema-match-locale-zh | match accepts locale = \"zh\" and no documented example exercises it | tools/list match.locale |\n| schema-match-locale-ja | match accepts locale = \"ja\" and no documented example exercises it | tools/list match.locale |\n| schema-match-locale-pt | match accepts locale = \"pt\" and no documented example exercises it | tools/list match.locale |\n| schema-match-locale-nl | match accepts locale = \"nl\" and no documented example exercises it | tools/list match.locale |\n| schema-textbook-category-toolbox | textbook accepts category = \"toolbox\" and no documented example exercises it | tools/list textbook.category |\n| schema-textbook-category-tool | textbook accepts category = \"tool\" and no documented example exercises it | tools/list textbook.category |\n| schema-textbook-category-theorem | textbook accepts category = \"theorem\" and no documented example exercises it | tools/list textbook.category |\n| schema-textbook-category-module | textbook accepts category = \"module\" and no documented example exercises it | tools/list textbook.category |\n| schema-translate-from-bg | translate accepts from = \"bg\" and no documented example exercises it | tools/list translate.from |\n| schema-translate-from-de | translate accepts from = \"de\" and no documented example exercises it | tools/list translate.from |\n| schema-translate-from-fr | translate accepts from = \"fr\" and no documented example exercises it | tools/list translate.from |\n| schema-translate-from-es | translate accepts from = \"es\" and no documented example exercises it | tools/list translate.from |\n| schema-translate-from-it | translate accepts from = \"it\" and no documented example exercises it | tools/list translate.from |\n| schema-translate-from-ru | translate accepts from = \"ru\" and no documented example exercises it | tools/list translate.from |\n| schema-translate-from-zh | translate accepts from = \"zh\" and no documented example exercises it | tools/list translate.from |\n| schema-translate-from-ja | translate accepts from = \"ja\" and no documented example exercises it | tools/list translate.from |\n| schema-translate-from-pt | translate accepts from = \"pt\" and no documented example exercises it | tools/list translate.from |\n| schema-translate-from-nl | translate accepts from = \"nl\" and no documented example exercises it | tools/list translate.from |\n| schema-translate-to-en | translate accepts to = \"en\" and no documented example exercises it | tools/list translate.to |\n| schema-translate-to-de | translate accepts to = \"de\" and no documented example exercises it | tools/list translate.to |\n| schema-translate-to-fr | translate accepts to = \"fr\" and no documented example exercises it | tools/list translate.to |\n| schema-translate-to-es | translate accepts to = \"es\" and no documented example exercises it | tools/list translate.to |\n| schema-translate-to-it | translate accepts to = \"it\" and no documented example exercises it | tools/list translate.to |\n| schema-translate-to-ru | translate accepts to = \"ru\" and no documented example exercises it | tools/list translate.to |\n| schema-translate-to-zh | translate accepts to = \"zh\" and no documented example exercises it | tools/list translate.to |\n| schema-translate-to-ja | translate accepts to = \"ja\" and no documented example exercises it | tools/list translate.to |\n| schema-translate-to-pt | translate accepts to = \"pt\" and no documented example exercises it | tools/list translate.to |\n| schema-translate-to-nl | translate accepts to = \"nl\" and no documented example exercises it | tools/list translate.to |\n| schema-prose-locale-en | prose accepts locale = \"en\" and no documented example exercises it | tools/list prose.locale |\n| schema-prose-locale-de | prose accepts locale = \"de\" and no documented example exercises it | tools/list prose.locale |\n| schema-prose-locale-fr | prose accepts locale = \"fr\" and no documented example exercises it | tools/list prose.locale |\n| schema-prose-locale-es | prose accepts locale = \"es\" and no documented example exercises it | tools/list prose.locale |\n| schema-prose-locale-it | prose accepts locale = \"it\" and no documented example exercises it | tools/list prose.locale |\n| schema-prose-locale-ru | prose accepts locale = \"ru\" and no documented example exercises it | tools/list prose.locale |\n| schema-prose-locale-zh | prose accepts locale = \"zh\" and no documented example exercises it | tools/list prose.locale |\n| schema-prose-locale-ja | prose accepts locale = \"ja\" and no documented example exercises it | tools/list prose.locale |\n| schema-prose-locale-pt | prose accepts locale = \"pt\" and no documented example exercises it | tools/list prose.locale |\n| schema-prose-locale-nl | prose accepts locale = \"nl\" and no documented example exercises it | tools/list prose.locale |\n| schema-mongo-op-insert | mongo accepts op = \"insert\" and no documented example exercises it | tools/list mongo.op |\n| schema-mongo-op-delete | mongo accepts op = \"delete\" and no documented example exercises it | tools/list mongo.op |\n| schema-stripe-op-state | stripe accepts op = \"state\" and no documented example exercises it | tools/list stripe.op |\n| schema-stripe-op-usage | stripe accepts op = \"usage\" and no documented example exercises it | tools/list stripe.op |\n| schema-stripe-op-settle | stripe accepts op = \"settle\" and no documented example exercises it | tools/list stripe.op |\n| schema-repository-via-rest | repository accepts via = \"rest\" and no documented example exercises it | tools/list repository.via |\n| schema-repository-via-mcp | repository accepts via = \"mcp\" and no documented example exercises it | tools/list repository.via |\n| schema-jsonld-kind-page | jsonld accepts kind = \"page\" and no documented example exercises it | tools/list jsonld.kind |\n| schema-jsonld-kind-offer | jsonld accepts kind = \"offer\" and no documented example exercises it | tools/list jsonld.kind |\n| schema-jsonld-locale-en | jsonld accepts locale = \"en\" and no documented example exercises it | tools/list jsonld.locale |\n| schema-jsonld-locale-bg | jsonld accepts locale = \"bg\" and no documented example exercises it | tools/list jsonld.locale |\n| schema-jsonld-locale-de | jsonld accepts locale = \"de\" and no documented example exercises it | tools/list jsonld.locale |\n| schema-jsonld-locale-fr | jsonld accepts locale = \"fr\" and no documented example exercises it | tools/list jsonld.locale |\n| schema-jsonld-locale-es | jsonld accepts locale = \"es\" and no documented example exercises it | tools/list jsonld.locale |\n| schema-jsonld-locale-it | jsonld accepts locale = \"it\" and no documented example exercises it | tools/list jsonld.locale |\n| schema-jsonld-locale-ru | jsonld accepts locale = \"ru\" and no documented example exercises it | tools/list jsonld.locale |\n| schema-jsonld-locale-zh | jsonld accepts locale = \"zh\" and no documented example exercises it | tools/list jsonld.locale |\n| schema-jsonld-locale-ja | jsonld accepts locale = \"ja\" and no documented example exercises it | tools/list jsonld.locale |\n| schema-jsonld-locale-pt | jsonld accepts locale = \"pt\" and no documented example exercises it | tools/list jsonld.locale |\n| schema-jsonld-locale-nl | jsonld accepts locale = \"nl\" and no documented example exercises it | tools/list jsonld.locale |\n| schema-configure-kind-pwa | configure accepts kind = \"pwa\" and no documented example exercises it | tools/list configure.kind |\n| schema-configure-kind-mcp | configure accepts kind = \"mcp\" and no documented example exercises it | tools/list configure.kind |\n| schema-extend-direction-both | extend accepts direction = \"both\" and no documented example exercises it | tools/list extend.direction |\n| application-iot-sensing | IoT sensing: an adaptor that writes { kind: \"reading\", from: device, body: { quantity, unit, value, at } }; verified by source-page or nist-codata for the refer | the docket contract |\n| application-iot-actuation | IoT actuation: an adaptor that writes { kind: \"command\", from: controller, body: { target, action, at } } and the device's { kind: \"ack\" }; verified by the ack  | the docket contract |\n| application-lab-instruments | lab instruments: an adaptor that writes { kind: \"measurement\", from: instrument, body: { observable, value, uncertainty } }; verified by nist-codata, oeis for i | the docket contract |\n| application-phones-and-kiosks | phones and kiosks: an adaptor that writes the block a human device renders (widget, Open Graph, shadcn item); verified by the audit's widget and licence checks | the docket contract |\n| application-assistive-devices | assistive devices: an adaptor that writes the same block, read aloud or in braille from its HTML structure; verified by an accessibility audit of the widgets | the docket contract |\n| application-energy-meters | energy meters: an adaptor that writes { kind: \"reading\", from: meter, body: { kWh, at } }; verified by the grid operator's public interval data where published | the docket contract |\n| application-vehicles | vehicles: an adaptor that writes { kind: \"reading\", from: vehicle, body: { position, speed, at } }; verified by a public map or transit feed | the docket contract |\n| application-wearables | wearables: an adaptor that writes { kind: \"reading\", from: wearable, body: { heartRate, at } } under the wearer's consent; verified by no public verifier: the w | the docket contract |\n| application-education-kits | education kits: an adaptor that writes { kind: \"result\", from: kit, body: { exercise, answer } } (the Qubit Game is a lead already); verified by the surface's o | the docket contract |\n| application-other-mcp-servers | other MCP servers: an adaptor that writes { kind: \"reply\", from: host, body: the tools/call result }; verified by the host's own receipt; the unit's fan-out nam | the docket contract |\n| fact-kind-reading | no verifier registers the fact kind \"reading\" that the application leads would write | src/quantum/verifiers.ts |\n| fact-kind-command | no verifier registers the fact kind \"command\" that the application leads would write | src/quantum/verifiers.ts |\n| fact-kind-ack | no verifier registers the fact kind \"ack\" that the application leads would write | src/quantum/verifiers.ts |\n| fact-kind-measurement | no verifier registers the fact kind \"measurement\" that the application leads would write | src/quantum/verifiers.ts |\n| fact-kind-result | no verifier registers the fact kind \"result\" that the application leads would write | src/quantum/verifiers.ts |\n| fact-kind-reply | no verifier registers the fact kind \"reply\" that the application leads would write | src/quantum/verifiers.ts |\n\n## Every lead, imagined\n\n| Lead | Status | Verdict | Tool | Cluster | Verify | Factors | Angles | Mirrors | Opened |\n|---|---|---|---|---:|---:|---:|---:|---:|---:|\n| willow-spec | served | impossible | — | 49 | 158 | 0 | 2 | 5 | 2 |\n| learn | blocked | impossible | — | 6 | 19 | 0 | 0 | 0 | 0 |\n"
}

translate · translate-bg

English to Bulgarian by vocabulary: the labels and verdicts translate; a word with no entry stays and is reported.

{"name":"translate","arguments":{"text":"The lead is served; the verdict is unknown","from":"en","to":"bg"}}

✓ as expected

translate · Translation by vocabulary, offline, both ways: text, from, to. A word no table knows stays as it is and is reported, never guessed; Glagolitic numerals are read as integers. Without text: the vocabulary measured — for every locale, the surface terms with no entry (the leads of the tables).

phase

translated

from

en

to

bg

text

следа is обслужена; присъда is неизвестно

via

vocabulary en→bg, 5 phrase(s)

untranslated

0

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "phase": "translated",
  "from": "en",
  "to": "bg",
  "text": "следа is обслужена; присъда is неизвестно",
  "via": "vocabulary en→bg, 5 phrase(s)",
  "untranslated": 0,
  "untranslatedWords": [],
  "numerals": []
}

translate · translate-coverage

The vocabulary measured: for every locale, which surface terms have no entry — the leads of the tables, updated from measurement.

{"name":"translate","arguments":{}}

✓ as expected

translate · Translation by vocabulary, offline, both ways: text, from, to. A word no table knows stays as it is and is reported, never guessed; Glagolitic numerals are read as integers. Without text: the vocabulary measured — for every locale, the surface terms with no entry (the leads of the tables).

phase

coverage

terms

50

locales

10

filled

1

missingTotal

468

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "phase": "coverage",
  "terms": 50,
  "locales": 10,
  "filled": 1,
  "missingTotal": 468,
  "coverage": [
    {
      "locale": "bg",
      "filled": true,
      "terms": 77,
      "missing": [
        "refuted",
        "trial",
        "requests",
        "results",
        "discovery",
        "plan",
        "judged",
        "toolbox",
        "channel",
        "ready",
        "not ready",
        "passed",
        "failed",
        "checks",
        "hosts",
        "contract",
        "phase",
        "selftest"
      ]
    },
    {
      "locale": "de",
      "filled": false,
      "terms": 0,
      "missing": [
        "served",
        "partial",
        "blocked",
        "open",
        "out of scope",
        "impossible",
        "unknown",
        "refuted",
        "trial",
        "requests",
        "results",
        "discovery",
        "plan",
        "judged",
        "verdict",
        "receipt",
        "evidence",
        "lead",
        "leads",
        "tool",
        "tools",
        "toolbox",
        "example",
        "examples",
        "seal",
        "valid",
        "invalid",
        "channel",
        "program",
        "handle",
        "tail",
        "previous",
        "next",
        "page",
        "statement",
        "door",
        "doors",
        "address",
        "content",
        "licence",
        "author",
        "ready",
        "not ready",
        "passed",
        "failed",
        "checks",
        "hosts",
        "contract",
        "phase",
        "selftest"
      ]
    },
    {
      "locale": "fr",
      "filled": false,
      "terms": 0,
      "missing": [
        "served",
        "partial",
        "blocked",
        "open",
        "out of scope",
        "impossible",
        "unknown",
        "refuted",
        "trial",
        "requests",
        "results",
        "discovery",
        "plan",
        "judged",
        "verdict",
        "receipt",
        "evidence",
        "lead",
        "leads",
        "tool",
        "tools",
        "toolbox",
        "example",
        "examples",
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        "valid",
        "invalid",
        "channel",
        "program",
        "handle",
        "tail",
        "previous",
        "next",
        "page",
        "statement",
        "door",
        "doors",
        "address",
        "content",
        "licence",
        "author",
        "ready",
        "not ready",
        "passed",
        "failed",
        "checks",
        "hosts",
        "contract",
        "phase",
        "selftest"
      ]
    },
    {
      "locale": "es",
      "filled": false,
      "terms": 0,
      "missing": [
        "served",
        "partial",
        "blocked",
        "open",
        "out of scope",
        "impossible",
        "unknown",
        "refuted",
        "trial",
        "requests",
        "results",
        "discovery",
        "plan",
        "judged",
        "verdict",
        "receipt",
        "evidence",
        "lead",
        "leads",
        "tool",
        "tools",
        "toolbox",
        "example",
        "examples",
        "seal",
        "valid",
        "invalid",
        "channel",
        "program",
        "handle",
        "tail",
        "previous",
        "next",
        "page",
        "statement",
        "door",
        "doors",
        "address",
        "content",
        "licence",
        "author",
        "ready",
        "not ready",
        "passed",
        "failed",
        "checks",
        "hosts",
        "contract",
        "phase",
        "selftest"
      ]
    },
    {
      "locale": "it",
      "filled": false,
      "terms": 0,
      "missing": [
        "served",
        "partial",
        "blocked",
        "open",
        "out of scope",
        "impossible",
        "unknown",
        "refuted",
        "trial",
        "requests",
        "results",
        "discovery",
        "plan",
        "judged",
        "verdict",
        "receipt",
        "evidence",
        "lead",
        "leads",
        "tool",
        "tools",
        "toolbox",
        "example",
        "examples",
        "seal",
        "valid",
        "invalid",
        "channel",
        "program",
        "handle",
        "tail",
        "previous",
        "next",
        "page",
        "statement",
        "door",
        "doors",
        "address",
        "content",
        "licence",
        "author",
        "ready",
        "not ready",
        "passed",
        "failed",
        "checks",
        "hosts",
        "contract",
        "phase",
        "selftest"
      ]
    },
    {
      "locale": "ru",
      "filled": false,
      "terms": 0,
      "missing": [
        "served",
        "partial",
        "blocked",
        "open",
        "out of scope",
        "impossible",
        "unknown",
        "refuted",
        "trial",
        "requests",
        "results",
        "discovery",
        "plan",
        "judged",
        "verdict",
        "receipt",
        "evidence",
        "lead",
        "leads",
        "tool",
        "tools",
        "toolbox",
        "example",
        "examples",
        "seal",
        "valid",
        "invalid",
        "channel",
        "program",
        "handle",
        "tail",
        "previous",
        "next",
        "page",
        "statement",
        "door",
        "doors",
        "address",
        "content",
        "licence",
        "author",
        "ready",
        "not ready",
        "passed",
        "failed",
        "checks",
        "hosts",
        "contract",
        "phase",
        "selftest"
      ]
    },
    {
      "locale": "zh",
      "filled": false,
      "terms": 0,
      "missing": [
        "served",
        "partial",
        "blocked",
        "open",
        "out of scope",
        "impossible",
        "unknown",
        "refuted",
        "trial",
        "requests",
        "results",
        "discovery",
        "plan",
        "judged",
        "verdict",
        "receipt",
        "evidence",
        "lead",
        "leads",
        "tool",
        "tools",
        "toolbox",
        "example",
        "examples",
        "seal",
        "valid",
        "invalid",
        "channel",
        "program",
        "handle",
        "tail",
        "previous",
        "next",
        "page",
        "statement",
        "door",
        "doors",
        "address",
        "content",
        "licence",
        "author",
        "ready",
        "not ready",
        "passed",
        "failed",
        "checks",
        "hosts",
        "contract",
        "phase",
        "selftest"
      ]
    },
    {
      "locale": "ja",
      "filled": false,
      "terms": 0,
      "missing": [
        "served",
        "partial",
        "blocked",
        "open",
        "out of scope",
        "impossible",
        "unknown",
        "refuted",
        "trial",
        "requests",
        "results",
        "discovery",
        "plan",
        "judged",
        "verdict",
        "receipt",
        "evidence",
        "lead",
        "leads",
        "tool",
        "tools",
        "toolbox",
        "example",
        "examples",
        "seal",
        "valid",
        "invalid",
        "channel",
        "program",
        "handle",
        "tail",
        "previous",
        "next",
        "page",
        "statement",
        "door",
        "doors",
        "address",
        "content",
        "licence",
        "author",
        "ready",
        "not ready",
        "passed",
        "failed",
        "checks",
        "hosts",
        "contract",
        "phase",
        "selftest"
      ]
    },
    {
      "locale": "pt",
      "filled": false,
      "terms": 0,
      "missing": [
        "served",
        "partial",
        "blocked",
        "open",
        "out of scope",
        "impossible",
        "unknown",
        "refuted",
        "trial",
        "requests",
        "results",
        "discovery",
        "plan",
        "judged",
        "verdict",
        "receipt",
        "evidence",
        "lead",
        "leads",
        "tool",
        "tools",
        "toolbox",
        "example",
        "examples",
        "seal",
        "valid",
        "invalid",
        "channel",
        "program",
        "handle",
        "tail",
        "previous",
        "next",
        "page",
        "statement",
        "door",
        "doors",
        "address",
        "content",
        "licence",
        "author",
        "ready",
        "not ready",
        "passed",
        "failed",
        "checks",
        "hosts",
        "contract",
        "phase",
        "selftest"
      ]
    },
    {
      "locale": "nl",
      "filled": false,
      "terms": 0,
      "missing": [
        "served",
        "partial",
        "blocked",
        "open",
        "out of scope",
        "impossible",
        "unknown",
        "refuted",
        "trial",
        "requests",
        "results",
        "discovery",
        "plan",
        "judged",
        "verdict",
        "receipt",
        "evidence",
        "lead",
        "leads",
        "tool",
        "tools",
        "toolbox",
        "example",
        "examples",
        "seal",
        "valid",
        "invalid",
        "channel",
        "program",
        "handle",
        "tail",
        "previous",
        "next",
        "page",
        "statement",
        "door",
        "doors",
        "address",
        "content",
        "licence",
        "author",
        "ready",
        "not ready",
        "passed",
        "failed",
        "checks",
        "hosts",
        "contract",
        "phase",
        "selftest"
      ]
    }
  ]
}

prose · prose-clay-bg

Programmable prose in Bulgarian from the clay tool's answer and the tree toolbox's skill: the numbers are the tool's, the words the vocabulary's, the rest reported.

{"name":"prose","arguments":{"tool":"clay","arguments":{"name":"relation_15"},"locale":"bg"}}

✓ as expected

prose · Programmable prose: call a tool with its arguments and render its result as sentences in a locale — the toolbox's idea, the tool's scalar answers, the toolbox's instructions — every word from the vocabulary, every number from the tool, every unknown word reported.

tool

clay

toolbox

tree

locale

bg

sentences

3

untranslated

42

text

tree toolbox: tree knows itself: its следи, its self-audit, any твърдение matched or proved невъзможно, Clay register recomputed, any UUID verified cheaply, its metrics in real time. clay инструмент answered: total 54, holding 54, max bits 33, max limbs16 3. how to use it: audit replays every пример and every toolbox selftest; match decides any твърдение; verify checks a UUID against its печат, съдържание and neighbours; clay recomputes register; следи lists what is owed.

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "tool": "clay",
  "toolbox": "tree",
  "locale": "bg",
  "sentences": 3,
  "untranslated": 42,
  "text": "tree toolbox: tree knows itself: its следи, its self-audit, any твърдение matched or proved невъзможно, Clay register recomputed, any UUID verified cheaply, its metrics in real time. clay инструмент answered: total 54, holding 54, max bits 33, max limbs16 3. how to use it: audit replays every пример and every toolbox selftest; match decides any твърдение; verify checks a UUID against its печат, съдържание and neighbours; clay recomputes register; следи lists what is owed.",
  "untranslatedWords": [
    "tree",
    "toolbox",
    "knows",
    "itself",
    "its",
    "self",
    "audit",
    "any",
    "matched",
    "or",
    "proved",
    "clay",
    "register",
    "recomputed",
    "uuid",
    "verified",
    "cheaply",
    "metrics",
    "in",
    "real",
    "time",
    "answered",
    "total",
    "holding",
    "max",
    "bits",
    "limbs",
    "to",
    "it",
    "replays",
    "every",
    "and",
    "selftest",
    "decides",
    "verify",
    "checks",
    "against",
    "neighbours",
    "recomputes",
    "lists",
    "what",
    "owed"
  ],
  "sentenceList": [
    "tree toolbox: tree knows itself: its следи, its self-audit, any твърдение matched or proved невъзможно, Clay register recomputed, any UUID verified cheaply, its metrics in real time.",
    "clay инструмент answered: total 54, holding 54, max bits 33, max limbs16 3.",
    "how to use it: audit replays every пример and every toolbox selftest; match decides any твърдение; verify checks a UUID against its печат, съдържание and neighbours; clay recomputes register; следи lists what is owed."
  ]
}

mongo · mongo-find

A Mongo filter over documents read from the docket: operators, array membership, sort; the match is computed here, the storage is the docket.

{"name":"mongo","arguments":{"op":"find","collection":"processors","docs":[{"_id":"a","title":"Willow","qubits":105,"tags":["processor","google"],"meta":{"year":2024}},{"_id":"b","title":"Sycamore","qubits":54,"tags":["processor"],"meta":{"year":2019}},{"_id":"c","title":"Quantum Echoes","qubits":65,"tags":["experiment"],"meta":{"year":2025}}],"filter":{"qubits":{"$gte":60},"tags":"processor"},"sort":{"qubits":-1}}}

✓ as expected

mongo · The ported MongoDB over the docket, pure. find: {collection, docs, filter, sort, skip, limit} → the matching documents (Mongo operators, dotted paths, $and/$or/$nor). insert: {collection, docs: [new]} → the entries to write, content-addressed. update: {collection, docs, filter, update} → for each match the new document and the entry that replaces it (linked to the old). delete: {collection, docs, filter} → the ids to delete, if unlinked. The client reads the docket rows and writes what comes back.

op

find

collection

processors

scanned

3

matched

1

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "op": "find",
  "collection": "processors",
  "scanned": 3,
  "matched": 1,
  "docs": [
    {
      "_id": "a",
      "title": "Willow",
      "qubits": 105,
      "tags": [
        "processor",
        "google"
      ],
      "meta": {
        "year": 2024
      }
    }
  ]
}

mongo · mongo-update

An update computed as a new document and a new entry linked to the one it replaces: entries are immutable and content-addressed, so history is kept.

{"name":"mongo","arguments":{"op":"update","collection":"processors","docs":[{"_id":"a","title":"Willow","qubits":105,"tags":["processor","google"],"meta":{"year":2024}},{"_id":"b","title":"Sycamore","qubits":54,"tags":["processor"],"meta":{"year":2019}},{"_id":"c","title":"Quantum Echoes","qubits":65,"tags":["experiment"],"meta":{"year":2025}}],"filter":{"_id":"b"},"update":{"$set":{"meta.year":2020},"$inc":{"qubits":1},"$push":{"tags":"updated"}}}}

✓ as expected

mongo · The ported MongoDB over the docket, pure. find: {collection, docs, filter, sort, skip, limit} → the matching documents (Mongo operators, dotted paths, $and/$or/$nor). insert: {collection, docs: [new]} → the entries to write, content-addressed. update: {collection, docs, filter, update} → for each match the new document and the entry that replaces it (linked to the old). delete: {collection, docs, filter} → the ids to delete, if unlinked. The client reads the docket rows and writes what comes back.

op

update

collection

processors

scanned

3

matched

1

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "op": "update",
  "collection": "processors",
  "scanned": 3,
  "matched": 1,
  "changes": [
    {
      "from": "b",
      "to": {
        "id": "db1931cb-d5d7-7ab0-b5bb-39274b7ec6c8",
        "kind": "document",
        "collection": "processors",
        "body": {
          "_id": "b",
          "title": "Sycamore",
          "qubits": 55,
          "tags": [
            "processor",
            "updated"
          ],
          "meta": {
            "year": 2020
          }
        },
        "links": [
          "b"
        ]
      }
    }
  ]
}

stripe · stripe-plan

A checkout plan for a yearly commercial licence of acme on two domains, bought at tenant psg: the form Stripe takes, the metadata the webhook brings back, the tenant secret the Worker alone holds.

{"name":"stripe","arguments":{"op":"plan","tenant":"psg","host":"qpu.psg.bg","checkout":{"subject":"acme","domains":["qpu.psg.bg","qpu.uuidna.com"],"mode":"subscription","amount":43200,"currency":"eur","successUrl":"https://qpu.psg.bg/licence?ok","cancelUrl":"https://qpu.psg.bg/licence?cancel"}}}

✓ as expected

stripe · Stripe per tenant, pure, the QPU as a product with its variants. catalogue: every product and variant (domain, tenant, seat, metered, enterprise; month, year, metered; eur, usd, bgn) as the forms Stripe takes, per tenant. usage: metered calls from docket entries as a usage record. settle: the author's compensation from Stripe's own net figures, by product and tenant, as a settlement entry. plan: a checkout session request for a commercial licence (subject, domains, mode, price or amount) that the Worker sends with the tenant's secret key. webhook: the Stripe-Signature verified with the tenant's webhook secret (HMAC-SHA256, timestamp tolerance), the event read into one idempotent licence entry (granted, renewed, revoked, disputed, failed, noted) linked to what it changes. state: the licence state of a subject at a domain from its entries, at any tenant. The handler holds no key; the Worker executes plans and the docket keeps the entries.

op

plan

tenant

psg

secret

STRIPE_SECRET_KEY_PSG

url

https://api.stripe.com/v1/checkout/sessions

fields

13

procedure

the Worker sends this form to https://api.stripe.com/v1/checkout/sessions with Authorization: Bearer <STRIPE_SECRET_KEY_PSG> and answers with the session url; the webhook of this tenant then writes the licence entry

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "op": "plan",
  "tenant": "psg",
  "secret": "STRIPE_SECRET_KEY_PSG",
  "url": "https://api.stripe.com/v1/checkout/sessions",
  "fields": 13,
  "plan": {
    "method": "POST",
    "url": "https://api.stripe.com/v1/checkout/sessions",
    "headers": {
      "content-type": "application/x-www-form-urlencoded",
      "idempotency-key": "290bfcd9-005e-4c45-8052-8a3e23241e5d"
    },
    "form": {
      "mode": "subscription",
      "success_url": "https://qpu.psg.bg/licence?ok",
      "cancel_url": "https://qpu.psg.bg/licence?cancel",
      "metadata[tenant]": "psg",
      "metadata[host]": "qpu.psg.bg",
      "metadata[subject]": "acme",
      "metadata[domains]": "qpu.psg.bg,qpu.uuidna.com",
      "metadata[licence]": "9ffcda04-5adc-872e-9358-6b831bbd0c0d",
      "line_items[0][price_data][currency]": "eur",
      "line_items[0][price_data][unit_amount]": "43200",
      "line_items[0][price_data][product_data][name]": "Commercial licence of the QPU framework for acme on qpu.psg.bg, qpu.uuidna.com",
      "line_items[0][price_data][recurring][interval]": "year",
      "line_items[0][quantity]": "1"
    },
    "secret": "STRIPE_SECRET_KEY_PSG"
  },
  "procedure": "the Worker sends this form to https://api.stripe.com/v1/checkout/sessions with Authorization: Bearer <STRIPE_SECRET_KEY_PSG> and answers with the session url; the webhook of this tenant then writes the licence entry"
}

stripe · stripe-catalogue

The QPU as a product line for tenant uuidna: seven variants over five products, each a Stripe price form in two currencies, the a432 default at zero.

{"name":"stripe","arguments":{"op":"catalogue","tenant":"uuidna","currencies":["eur","usd"]}}

✓ as expected

stripe · Stripe per tenant, pure, the QPU as a product with its variants. catalogue: every product and variant (domain, tenant, seat, metered, enterprise; month, year, metered; eur, usd, bgn) as the forms Stripe takes, per tenant. usage: metered calls from docket entries as a usage record. settle: the author's compensation from Stripe's own net figures, by product and tenant, as a settlement entry. plan: a checkout session request for a commercial licence (subject, domains, mode, price or amount) that the Worker sends with the tenant's secret key. webhook: the Stripe-Signature verified with the tenant's webhook secret (HMAC-SHA256, timestamp tolerance), the event read into one idempotent licence entry (granted, renewed, revoked, disputed, failed, noted) linked to what it changes. state: the licence state of a subject at a domain from its entries, at any tenant. The handler holds no key; the Worker executes plans and the docket keeps the entries.

op

catalogue

tenant

uuidna

products

6

prices

14

variants

7

secret

STRIPE_SECRET_KEY_UUIDNA

procedure

the Worker creates the products and prices at Stripe with <STRIPE_SECRET_KEY_UUIDNA> once per tenant; the price ids come back in the webhooks' metadata

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "op": "catalogue",
  "tenant": "uuidna",
  "products": 6,
  "prices": 14,
  "variants": 7,
  "secret": "STRIPE_SECRET_KEY_UUIDNA",
  "catalogue": [
    {
      "product": "qpu-a432",
      "variant": "harmonic-default",
      "unit": "none",
      "interval": "once",
      "amounts": {
        "eur": 0,
        "usd": 0,
        "bgn": 0
      },
      "domains": "*",
      "description": "the a432 harmonic default: free under attribution, every result carrying the licence"
    },
    {
      "product": "qpu-domain",
      "variant": "yearly",
      "unit": "domain",
      "interval": "year",
      "amounts": {
        "eur": 43200,
        "usd": 47500,
        "bgn": 84500
      },
      "domains": "named",
      "description": "commercial use of the QPU framework on one named domain, for a year"
    },
    {
      "product": "qpu-domain",
      "variant": "monthly",
      "unit": "domain",
      "interval": "month",
      "amounts": {
        "eur": 4320,
        "usd": 4750,
        "bgn": 8450
      },
      "domains": "named",
      "description": "the same, by the month"
    },
    {
      "product": "qpu-tenant",
      "variant": "yearly",
      "unit": "tenant",
      "interval": "year",
      "amounts": {
        "eur": 216000,
        "usd": 237600,
        "bgn": 422400
      },
      "domains": "*",
      "description": "commercial use on every domain of one tenant, for a year"
    },
    {
      "product": "qpu-seat",
      "variant": "monthly",
      "unit": "seat",
      "interval": "month",
      "amounts": {
        "eur": 2700,
        "usd": 2970,
        "bgn": 5280
      },
      "domains": "*",
      "description": "one seat of the full platform (every toolbox, every host), by the month"
    },
    {
      "product": "qpu-metered",
      "variant": "per-thousand-calls",
      "unit": "thousand-calls",
      "interval": "metered",
      "amounts": {
        "eur": 108,
        "usd": 119,
        "bgn": 211
      },
      "domains": "*",
      "description": "tools/call metered from the docket's receipts, per thousand calls, billed monthly"
    },
    {
      "product": "qpu-enterprise",
      "variant": "platform",
      "unit": "platform",
      "interval": "year",
      "amounts": {
        "eur": 1080000,
        "usd": 1188000,
        "bgn": 2112000
      },
      "domains": "*",
      "description": "the full featured platform for one organisation: every toolbox, every host, the RAID, the court, with the author's support"
    }
  ],
  "forms": {
    "products": [
      {
        "form": {
          "name": "QPU a432",
          "metadata[product]": "qpu-a432",
          "metadata[tenant]": "uuidna",
          "metadata[licence]": "9ffcda04-5adc-872e-9358-6b831bbd0c0d",
          "description": "the a432 harmonic default: free under attribution, every result carrying the licence"
        }
      },
      {
        "form": {
          "name": "QPU domain",
          "metadata[product]": "qpu-domain",
          "metadata[tenant]": "uuidna",
          "metadata[licence]": "9ffcda04-5adc-872e-9358-6b831bbd0c0d",
          "description": "commercial use of the QPU framework on one named domain, for a year"
        }
      },
      {
        "form": {
          "name": "QPU tenant",
          "metadata[product]": "qpu-tenant",
          "metadata[tenant]": "uuidna",
          "metadata[licence]": "9ffcda04-5adc-872e-9358-6b831bbd0c0d",
          "description": "commercial use on every domain of one tenant, for a year"
        }
      },
      {
        "form": {
          "name": "QPU seat",
          "metadata[product]": "qpu-seat",
          "metadata[tenant]": "uuidna",
          "metadata[licence]": "9ffcda04-5adc-872e-9358-6b831bbd0c0d",
          "description": "one seat of the full platform (every toolbox, every host), by the month"
        }
      },
      {
        "form": {
          "name": "QPU metered",
          "metadata[product]": "qpu-metered",
          "metadata[tenant]": "uuidna",
          "metadata[licence]": "9ffcda04-5adc-872e-9358-6b831bbd0c0d",
          "description": "tools/call metered from the docket's receipts, per thousand calls, billed monthly"
        }
      },
      {
        "form": {
          "name": "QPU enterprise",
          "metadata[product]": "qpu-enterprise",
          "metadata[tenant]": "uuidna",
          "metadata[licence]": "9ffcda04-5adc-872e-9358-6b831bbd0c0d",
          "description": "the full featured platform for one organisation: every toolbox, every host, the RAID, the court, with the author's support"
        }
      }
    ],
    "prices": [
      {
        "form": {
          "product_data": "QPU a432",
          "currency": "eur",
          "unit_amount": "0",
          "metadata[product]": "qpu-a432",
          "metadata[variant]": "harmonic-default",
          "metadata[unit]": "none",
          "metadata[tenant]": "uuidna",
          "metadata[domains]": "*"
        }
      },
      {
        "form": {
          "product_data": "QPU a432",
          "currency": "usd",
          "unit_amount": "0",
          "metadata[product]": "qpu-a432",
          "metadata[variant]": "harmonic-default",
          "metadata[unit]": "none",
          "metadata[tenant]": "uuidna",
          "metadata[domains]": "*"
        }
      },
      {
        "form": {
          "product_data": "QPU domain",
          "currency": "eur",
          "unit_amount": "43200",
          "metadata[product]": "qpu-domain",
          "metadata[variant]": "yearly",
          "metadata[unit]": "domain",
          "metadata[tenant]": "uuidna",
          "metadata[domains]": "named",
          "recurring[interval]": "year"
        }
      },
      {
        "form": {
          "product_data": "QPU domain",
          "currency": "usd",
          "unit_amount": "47500",
          "metadata[product]": "qpu-domain",
          "metadata[variant]": "yearly",
          "metadata[unit]": "domain",
          "metadata[tenant]": "uuidna",
          "metadata[domains]": "named",
          "recurring[interval]": "year"
        }
      },
      {
        "form": {
          "product_data": "QPU domain",
          "currency": "eur",
          "unit_amount": "4320",
          "metadata[product]": "qpu-domain",
          "metadata[variant]": "monthly",
          "metadata[unit]": "domain",
          "metadata[tenant]": "uuidna",
          "metadata[domains]": "named",
          "recurring[interval]": "month"
        }
      },
      {
        "form": {
          "product_data": "QPU domain",
          "currency": "usd",
          "unit_amount": "4750",
          "metadata[product]": "qpu-domain",
          "metadata[variant]": "monthly",
          "metadata[unit]": "domain",
          "metadata[tenant]": "uuidna",
          "metadata[domains]": "named",
          "recurring[interval]": "month"
        }
      },
      {
        "form": {
          "product_data": "QPU tenant",
          "currency": "eur",
          "unit_amount": "216000",
          "metadata[product]": "qpu-tenant",
          "metadata[variant]": "yearly",
          "metadata[unit]": "tenant",
          "metadata[tenant]": "uuidna",
          "metadata[domains]": "*",
          "recurring[interval]": "year"
        }
      },
      {
        "form": {
          "product_data": "QPU tenant",
          "currency": "usd",
          "unit_amount": "237600",
          "metadata[product]": "qpu-tenant",
          "metadata[variant]": "yearly",
          "metadata[unit]": "tenant",
          "metadata[tenant]": "uuidna",
          "metadata[domains]": "*",
          "recurring[interval]": "year"
        }
      },
      {
        "form": {
          "product_data": "QPU seat",
          "currency": "eur",
          "unit_amount": "2700",
          "metadata[product]": "qpu-seat",
          "metadata[variant]": "monthly",
          "metadata[unit]": "seat",
          "metadata[tenant]": "uuidna",
          "metadata[domains]": "*",
          "recurring[interval]": "month"
        }
      },
      {
        "form": {
          "product_data": "QPU seat",
          "currency": "usd",
          "unit_amount": "2970",
          "metadata[product]": "qpu-seat",
          "metadata[variant]": "monthly",
          "metadata[unit]": "seat",
          "metadata[tenant]": "uuidna",
          "metadata[domains]": "*",
          "recurring[interval]": "month"
        }
      },
      {
        "form": {
          "product_data": "QPU metered",
          "currency": "eur",
          "unit_amount": "108",
          "metadata[product]": "qpu-metered",
          "metadata[variant]": "per-thousand-calls",
          "metadata[unit]": "thousand-calls",
          "metadata[tenant]": "uuidna",
          "metadata[domains]": "*",
          "recurring[interval]": "month",
          "recurring[usage_type]": "metered"
        }
      },
      {
        "form": {
          "product_data": "QPU metered",
          "currency": "usd",
          "unit_amount": "119",
          "metadata[product]": "qpu-metered",
          "metadata[variant]": "per-thousand-calls",
          "metadata[unit]": "thousand-calls",
          "metadata[tenant]": "uuidna",
          "metadata[domains]": "*",
          "recurring[interval]": "month",
          "recurring[usage_type]": "metered"
        }
      },
      {
        "form": {
          "product_data": "QPU enterprise",
          "currency": "eur",
          "unit_amount": "1080000",
          "metadata[product]": "qpu-enterprise",
          "metadata[variant]": "platform",
          "metadata[unit]": "platform",
          "metadata[tenant]": "uuidna",
          "metadata[domains]": "*",
          "recurring[interval]": "year"
        }
      },
      {
        "form": {
          "product_data": "QPU enterprise",
          "currency": "usd",
          "unit_amount": "1188000",
          "metadata[product]": "qpu-enterprise",
          "metadata[variant]": "platform",
          "metadata[unit]": "platform",
          "metadata[tenant]": "uuidna",
          "metadata[domains]": "*",
          "recurring[interval]": "year"
        }
      }
    ],
    "secret": "STRIPE_SECRET_KEY_UUIDNA"
  },
  "procedure": "the Worker creates the products and prices at Stripe with <STRIPE_SECRET_KEY_UUIDNA> once per tenant; the price ids come back in the webhooks' metadata"
}

stripe · stripe-webhook

A checkout completed at tenant psg, its signature verified with psg's webhook secret, read into one licence entry granting acme on both domains.

{"name":"stripe","arguments":{"op":"webhook","tenant":"psg","payload":"{\"id\":\"evt_1\",\"type\":\"checkout.session.completed\",\"created\":1700000000,\"data\":{\"object\":{\"customer\":\"cus_1\",\"amount_total\":43200,\"currency\":\"eur\",\"metadata\":{\"tenant\":\"psg\",\"subject\":\"acme\",\"domains\":\"qpu.psg.bg,qpu.uuidna.com\"}}}}","signature":"t=1700000000,v1=0103cd3bdd20cbf55f7568d3ec332f03dd96d255f48009eeb96cb5d43965c18a","secret":"whsec_test_secret_of_tenant_psg","now":1700000100}}

✓ as expected

stripe · Stripe per tenant, pure, the QPU as a product with its variants. catalogue: every product and variant (domain, tenant, seat, metered, enterprise; month, year, metered; eur, usd, bgn) as the forms Stripe takes, per tenant. usage: metered calls from docket entries as a usage record. settle: the author's compensation from Stripe's own net figures, by product and tenant, as a settlement entry. plan: a checkout session request for a commercial licence (subject, domains, mode, price or amount) that the Worker sends with the tenant's secret key. webhook: the Stripe-Signature verified with the tenant's webhook secret (HMAC-SHA256, timestamp tolerance), the event read into one idempotent licence entry (granted, renewed, revoked, disputed, failed, noted) linked to what it changes. state: the licence state of a subject at a domain from its entries, at any tenant. The handler holds no key; the Worker executes plans and the docket keeps the entries.

op

webhook

tenant

psg

valid

true

why

the tenant's secret signs this payload at this time

event

evt_1

type

checkout.session.completed

state

granted

duplicate

false

procedure

POST this entry to the psg docket as its stripe writer; it mirrors to the other tenants, where state reads it by the domains it names

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "op": "webhook",
  "tenant": "psg",
  "valid": true,
  "why": "the tenant's secret signs this payload at this time",
  "event": "evt_1",
  "type": "checkout.session.completed",
  "state": "granted",
  "duplicate": false,
  "entry": {
    "id": "65844b14-40b0-83c8-ac67-b04598bd3d0f",
    "kind": "licence",
    "from": "stripe:psg",
    "body": {
      "event": "evt_1",
      "type": "checkout.session.completed",
      "state": "granted",
      "subject": "acme",
      "tenant": "psg",
      "domains": [
        "qpu.psg.bg",
        "qpu.uuidna.com"
      ],
      "product": null,
      "variant": null,
      "quantity": null,
      "customer": "cus_1",
      "amount": 43200,
      "currency": "eur",
      "at": 1700000000,
      "licence": "9ffcda04-5adc-872e-9358-6b831bbd0c0d",
      "terms": "Attribute the author; do not distribute a derivative; commercial use of the QPU framework, over UUID or by any other means, requires a licence from the author (ceccec@psg.bg). The a432 harmonic default is offered for free benefit under attribution."
    },
    "links": []
  },
  "procedure": "POST this entry to the psg docket as its stripe writer; it mirrors to the other tenants, where state reads it by the domains it names"
}

legal · legal-audit-offline

Phase two with no answers (offline): the claims, the tree's security checks, and the audit's own content address over the SHA-256 of every input — change a source and the address changes.

{"name":"legal","arguments":{"texts":{"citation":"cff-version: 1.2.0\ntitle: QPU\nauthors:\n  - family-names: Rouschev\n    given-names: Tsvetan\n    orcid: https://orcid.org/0009-0000-7312-9778\nlicense: CC-BY-NC-ND-4.0\n","zenodo":"{\"creators\":[{\"name\":\"Rouschev, Tsvetan\",\"orcid\":\"0009-0000-7312-9778\"}],\"license\":\"cc-by-nc-nd-4.0\",\"title\":\"QPU\"}","package":"{\"name\":\"@uuidna/qpu\",\"version\":\"1.4.0\",\"license\":\"CC-BY-NC-ND-4.0\",\"author\":{\"name\":\"Tsvetan Rouschev\"}}","readme":"| Measure | Value |\n|---|---:|\n| Tests | 152 pass |\n","worker":"const sameToken = (a, b) => { let d = 0; for (...) d |= a.charCodeAt(i) ^ b.charCodeAt(i); return d === 0 }\nif (need && role === 'reader') return json()\nif (need === 'admin' && role !== 'admin') return json()\nidFromName(tenant)\nif (!out.valid) return json({ refused })\nAccess-Control-Allow-Origin OPTIONS AbortSignal.timeout(5000)","billing":"verifySignature(secret) sameHex(expected, v1)","hmac":"export const sameHex = (a, b) => { let d = 0; d |= a.charCodeAt(i) ^ b.charCodeAt(i) }","mcp":"const BALANCER = new Map()"},"answers":[]}}

✓ as expected

legal · The full legal and security audit with forensic analysis, through MCP. Phase one (texts, discovery, agents?, theoremKeys?): the author's claims gathered from the tree and its metadata, this tree's own security checks over its sources, and the plan of calls to the unit's forensic, verification, legal, licence, prior-art, due-process and security doors — free agents found by discovery by default, the operator's own list when given. Phase two (plus answers): verdicts per claim, drift against this tree's licence, the findings, the page. Recomputable facts, not legal advice.

phase

audit

id

45fb4aed-6d41-5bd3-8c2b-5e1f1986329a

sha256

2370589165785cd85acff069189683bd678f08c4fe36e5869aa14213d8695702

claims

21

violations

0

refusals

0

drift

0

securityPassed

10

securityTotal

10

by

free-by-default

page

--- title: Legal order: 56 --- # The legal and security audit, through MCP > Recomputable facts, not legal advice: the inputs a qualified attorney starts from, never the conclusion. Run by `npm run next` on 2026-10-25T21:38:29.817Z through the `legal` tool: every claim the author makes in this tree sent to the unit's forensic and verification doors, the unit's legal facts and rights beside this tree's licence module, the licence computed for this tree, the prior art of its theorems, due process over the claims, every security door the unit serves, and the tree's own security checks over its sources. Agents: (free-by-default). Recomputable facts, not legal advice: the inputs a qualified attorney starts from, never the conclusion. ## Claims: 21; verdicts ; violations 0; refusals 0 | Claim | Door | Verdict | Clean | Violations | Receipt | Note or refusal | |---|---|---|---|---:|---|---| ## Rights and drift The rights door was not reached. ## Licence, prior art, due process Licence computed for this tree: not reached. Prior art: not reached. Due process: not reached. ## Security doors of the unit | Door | Clean | Failed | Receipt | Honest | |---|---|---:|---|---| ## This tree's security checks: 10 of 10 | Check | Passed | Evidence | |---|---|---| | security:no-live-secret-literal | ✓ | no live Stripe key, webhook secret, AWS key or private key literal in the sources | | security:tokens-compared-in-constant-time | ✓ | sameToken xors the bytes; no early exit on a mismatch | | security:signature-compared-in-constant-time | ✓ | the Stripe signature is compared by sameHex, xor over every character | | security:writes-need-a-role | ✓ | POST needs writer, DELETE needs admin; a reader is refused with the procedure | | security:tenant-isolation | ✓ | the docket is addressed by tenant, never by a fixed name | | security:webhook-verified-before-write | ✓ | a webhook is verified before anything is written; a refusal is answered 400 and recorded as a lead | | security:keys-stay-in-the-worker | ✓ | the handler names no secret; the Worker alone reads env | | security:cors-headers | ✓ | cross-origin reads allowed, preflight answered | | security:timeouts-on-outbound | ✓ | every outbound fetch of the Worker carries a timeout | | security:no-eval | ✓ | no eval, no Function constructor |

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "phase": "audit",
  "id": "45fb4aed-6d41-5bd3-8c2b-5e1f1986329a",
  "sha256": "2370589165785cd85acff069189683bd678f08c4fe36e5869aa14213d8695702",
  "inputs": {
    "texts": {
      "citation": "5b054fdcdde293885fce42afe01808251844f9611defd42353e59b5e2186ec2d",
      "zenodo": "f4104a264393610065eb3f60fb29668963f542244166e7513e97ec3d2f267b53",
      "package": "c4a5ca2d1b99f0e1a2f2ba954686d34688f8d68a3d0a77faefd7daf092976da3",
      "readme": "ea4776d4ddcfd09b3ffcaa18294c3238f566c7d0fdde42bf384b96cc3346f1ae",
      "worker": "d325470f978c0bce8fcb4056614d5d5e867f937140ae06e396d2f51d5699ddc3",
      "billing": "b2fba028748740e5c7566703284bf2c0097b1e9b6bb60f69a21c203fc95ba09b",
      "hmac": "2b9decab98c18632a681769cae5993ed33b3a05c9ac89dbe6c8fe0e59a2acb18",
      "mcp": "3f2f264ab3e9ee188ca0c287d034ba694e718c6976b2bfd02ae4400d9830b6a6"
    },
    "discovery": null,
    "theoremKeys": "4f53cda18c2baa0c0354bb5f9a3ecbe5ed12ab4d8e11ba873c2f11161202b945",
    "answers": "4f53cda18c2baa0c0354bb5f9a3ecbe5ed12ab4d8e11ba873c2f11161202b945"
  },
  "claims": 21,
  "violations": 0,
  "refusals": 0,
  "drift": 0,
  "securityPassed": 10,
  "securityTotal": 10,
  "by": "free-by-default",
  "audit": {
    "claims": 21,
    "findings": [],
    "verdicts": {},
    "violations": 0,
    "drift": [],
    "legalFacts": null,
    "rights": null,
    "licence": null,
    "priorArt": null,
    "dueProcess": null,
    "securityDoors": [],
    "security": [
      {
        "id": "security:no-live-secret-literal",
        "passed": true,
        "evidence": "no live Stripe key, webhook secret, AWS key or private key literal in the sources"
      },
      {
        "id": "security:tokens-compared-in-constant-time",
        "passed": true,
        "evidence": "sameToken xors the bytes; no early exit on a mismatch"
      },
      {
        "id": "security:signature-compared-in-constant-time",
        "passed": true,
        "evidence": "the Stripe signature is compared by sameHex, xor over every character"
      },
      {
        "id": "security:writes-need-a-role",
        "passed": true,
        "evidence": "POST needs writer, DELETE needs admin; a reader is refused with the procedure"
      },
      {
        "id": "security:tenant-isolation",
        "passed": true,
        "evidence": "the docket is addressed by tenant, never by a fixed name"
      },
      {
        "id": "security:webhook-verified-before-write",
        "passed": true,
        "evidence": "a webhook is verified before anything is written; a refusal is answered 400 and recorded as a lead"
      },
      {
        "id": "security:keys-stay-in-the-worker",
        "passed": true,
        "evidence": "the handler names no secret; the Worker alone reads env"
      },
      {
        "id": "security:cors-headers",
        "passed": true,
        "evidence": "cross-origin reads allowed, preflight answered"
      },
      {
        "id": "security:timeouts-on-outbound",
        "passed": true,
        "evidence": "every outbound fetch of the Worker carries a timeout"
      },
      {
        "id": "security:no-eval",
        "passed": true,
        "evidence": "no eval, no Function constructor"
      }
    ],
    "securityPassed": 10,
    "securityTotal": 10,
    "refusals": 0
  },
  "page": "---\ntitle: Legal\norder: 56\n---\n\n# The legal and security audit, through MCP\n\n> Recomputable facts, not legal advice: the inputs a qualified attorney starts from, never the conclusion.\n\nRun by `npm run next` on 2026-10-25T21:38:29.817Z through the `legal` tool: every claim the author makes in this tree sent to the unit's forensic and verification doors, the unit's legal facts and rights beside this tree's licence module, the licence computed for this tree, the prior art of its theorems, due process over the claims, every security door the unit serves, and the tree's own security checks over its sources. Agents:  (free-by-default). Recomputable facts, not legal advice: the inputs a qualified attorney starts from, never the conclusion.\n\n## Claims: 21; verdicts ; violations 0; refusals 0\n\n| Claim | Door | Verdict | Clean | Violations | Receipt | Note or refusal |\n|---|---|---|---|---:|---|---|\n\n## Rights and drift\n\nThe rights door was not reached.\n\n## Licence, prior art, due process\n\nLicence computed for this tree: not reached. Prior art: not reached. Due process: not reached.\n\n## Security doors of the unit\n\n| Door | Clean | Failed | Receipt | Honest |\n|---|---|---:|---|---|\n\n## This tree's security checks: 10 of 10\n\n| Check | Passed | Evidence |\n|---|---|---|\n| security:no-live-secret-literal | ✓ | no live Stripe key, webhook secret, AWS key or private key literal in the sources |\n| security:tokens-compared-in-constant-time | ✓ | sameToken xors the bytes; no early exit on a mismatch |\n| security:signature-compared-in-constant-time | ✓ | the Stripe signature is compared by sameHex, xor over every character |\n| security:writes-need-a-role | ✓ | POST needs writer, DELETE needs admin; a reader is refused with the procedure |\n| security:tenant-isolation | ✓ | the docket is addressed by tenant, never by a fixed name |\n| security:webhook-verified-before-write | ✓ | a webhook is verified before anything is written; a refusal is answered 400 and recorded as a lead |\n| security:keys-stay-in-the-worker | ✓ | the handler names no secret; the Worker alone reads env |\n| security:cors-headers | ✓ | cross-origin reads allowed, preflight answered |\n| security:timeouts-on-outbound | ✓ | every outbound fetch of the Worker carries a timeout |\n| security:no-eval | ✓ | no eval, no Function constructor |\n"
}

legal · legal-plan

Phase one on fixture texts and a three-door discovery: the claims gathered (licence, author, metadata, measured table, perspectives), the tree's security checks, and the plan — one forensics call per claim, the rights and security doors once, free by default.

{"name":"legal","arguments":{"texts":{"citation":"cff-version: 1.2.0\ntitle: QPU\nauthors:\n  - family-names: Rouschev\n    given-names: Tsvetan\n    orcid: https://orcid.org/0009-0000-7312-9778\nlicense: CC-BY-NC-ND-4.0\n","zenodo":"{\"creators\":[{\"name\":\"Rouschev, Tsvetan\",\"orcid\":\"0009-0000-7312-9778\"}],\"license\":\"cc-by-nc-nd-4.0\",\"title\":\"QPU\"}","package":"{\"name\":\"@uuidna/qpu\",\"version\":\"1.4.0\",\"license\":\"CC-BY-NC-ND-4.0\",\"author\":{\"name\":\"Tsvetan Rouschev\"}}","readme":"| Measure | Value |\n|---|---:|\n| Tests | 152 pass |\n","worker":"const sameToken = (a, b) => { let d = 0; for (...) d |= a.charCodeAt(i) ^ b.charCodeAt(i); return d === 0 }\nif (need && role === 'reader') return json()\nif (need === 'admin' && role !== 'admin') return json()\nidFromName(tenant)\nif (!out.valid) return json({ refused })\nAccess-Control-Allow-Origin OPTIONS AbortSignal.timeout(5000)","billing":"verifySignature(secret) sameHex(expected, v1)","hmac":"export const sameHex = (a, b) => { let d = 0; d |= a.charCodeAt(i) ^ b.charCodeAt(i) }","mcp":"const BALANCER = new Map()"},"discovery":{"doors":[{"host":"uuidna.com","url":"https://uuidna.com/mcp","name":"compute_forensics","description":"","takes":["statement"],"required":["statement"],"answers":["verdict","receipt"],"readOnly":true,"contract":"catalogue"},{"host":"uuidna.com","url":"https://uuidna.com/mcp","name":"get_rights","description":"","takes":[],"required":[],"answers":["receipt"],"readOnly":true,"contract":"tools/list"},{"host":"uuidna.com","url":"https://uuidna.com/mcp","name":"audit_security","description":"","takes":[],"required":[],"answers":["receipt"],"readOnly":true,"contract":"catalogue"}]}}}

✓ as expected

legal · The full legal and security audit with forensic analysis, through MCP. Phase one (texts, discovery, agents?, theoremKeys?): the author's claims gathered from the tree and its metadata, this tree's own security checks over its sources, and the plan of calls to the unit's forensic, verification, legal, licence, prior-art, due-process and security doors — free agents found by discovery by default, the operator's own list when given. Phase two (plus answers): verdicts per claim, drift against this tree's licence, the findings, the page. Recomputable facts, not legal advice.

phase

plan

claims

21

calls

23

agents

3

by

free-by-default

securityPassed

10

securityTotal

10

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "phase": "plan",
  "claims": 21,
  "calls": 23,
  "agents": 3,
  "by": "free-by-default",
  "securityPassed": 10,
  "securityTotal": 10,
  "claimList": [
    {
      "id": "licence-spdx",
      "source": "src/quantum/license.ts",
      "text": "@uuidna/qpu is licensed CC-BY-NC-ND-4.0 by Tsvetan Rouschev; commercial use requires a licence from the author, backed by theorem legal_only_the_proven_is_admitted"
    },
    {
      "id": "licence-address",
      "source": "src/quantum/license.ts",
      "text": "the licence record is at https://uuidna.com/license; its address and imprint are the ones the unit's rights door gives, carried by every result as _meta.license, backed by theorem legal_only_the_proven_is_admitted"
    },
    {
      "id": "author-orcid",
      "source": "src/quantum/license.ts",
      "text": "the author is Tsvetan Rouschev, ORCID https://orcid.org/0009-0000-7312-9778"
    },
    {
      "id": "representation",
      "source": "src/quantum/license.ts",
      "text": "uuidna is represented by https://uuidna.com only; no handle or profile elsewhere speaks for the work unless licensed in writing by the author, backed by theorem legal_only_the_proven_is_admitted"
    },
    {
      "id": "disclaimer",
      "source": "src/quantum/license.ts",
      "text": "Recomputable facts, not legal advice: the inputs a qualified attorney starts from, never the conclusion, backed by theorem legal_only_the_proven_is_admitted"
    },
    {
      "id": "citation-cff",
      "source": "CITATION.cff",
      "text": "CITATION.cff names Tsvetan Rouschev (https://orcid.org/0009-0000-7312-9778) as the author under CC-BY-NC-ND-4.0"
    },
    {
      "id": "zenodo-json",
      "source": ".zenodo.json",
      "text": ".zenodo.json names Rouschev, Tsvetan (0009-0000-7312-9778) as creator of QPU under cc-by-nc-nd-4.0"
    },
    {
      "id": "package-json",
      "source": "package.json",
      "text": "package.json names @uuidna/qpu 1.4.0 under CC-BY-NC-ND-4.0 by Tsvetan Rouschev"
    },
    {
      "id": "readme-tests",
      "source": "README.md measured table",
      "text": "Tests: 152 pass"
    },
    {
      "id": "perspective-factorer",
      "source": "src/quantum/algorithms.ts",
      "text": "The QPU as the factorer: Shor on the exact simulator for every N within its bound, and the bound itself the honest answer beyond it."
    },
    {
      "id": "perspective-reflection",
      "source": "src/quantum/match.ts",
      "text": "The QPU as the mirror: any statement reflected into its hidden factors, its angles against the bounds and its mirror queries, each a lead."
    },
    {
      "id": "perspective-address",
      "source": "src/quantum/blocks.ts",
      "text": "The QPU as the address: one UUID that proves its seal, its content and its neighbours cheaply, tampering always slower than the original."
    },
    {
      "id": "perspective-clay",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean",
      "text": "The QPU as the register: the Clay relations recomputed in exact integers, the σ-involution the universal core, in 33 bits."
    },
    {
      "id": "perspective-language",
      "source": "src/quantum/i18n.ts",
      "text": "The QPU as the language machine: any language and dialect by vocabulary, offline and token-free, both ways, and prose programmed from a tool's answer."
    },
    {
      "id": "perspective-imagination",
      "source": "src/quantum/imagine.ts",
      "text": "The QPU as the imagination: every lead reflected, every schema door and application family a lead, and more the mind can imagine recorded as leads."
    },
    {
      "id": "perspective-discovery",
      "source": "src/quantum/discovery.ts",
      "text": "The QPU as the discoverer: every host's contract read first, every door chosen by what it takes and answers."
    },
    {
      "id": "perspective-judge",
      "source": "src/quantum/readiness.ts",
      "text": "The QPU as the judge of itself: every lead served, refuted or in trial by measurement, and the unit told so."
    },
    {
      "id": "perspective-database",
      "source": "src/quantum/toolboxes/raid.ts",
      "text": "The QPU as the database: MongoDB's language over content-addressed entries, history kept by links, any document framework on the RAID."
    },
    {
      "id": "perspective-harmonic",
      "source": "src/quantum/theme.ts",
      "text": "The QPU as the harmonic: a432 the key of every colour, the block's accent from the UUID's middle as CMYK, on every result."
    },
    {
      "id": "perspective-tenants",
      "source": "src/worker.ts",
      "text": "The QPU as the host of tenants: one Worker, a docket per host, roles by token, a security collision answered as a procedure."
    },
    {
      "id": "perspective-court",
      "source": "uuidna.com/mcp check_release_readiness; uuidna.com/mcp sign_commit",
      "text": "The QPU before the court: the unit's honesty gate judges readiness, signs commits by sealed theorems and refuses what it cannot decide."
    }
  ],
  "plan": {
    "calls": [
      {
        "door": "get_rights",
        "host": "uuidna.com",
        "arguments": {},
        "purpose": "legal"
      },
      {
        "door": "audit_security",
        "host": "uuidna.com",
        "arguments": {},
        "purpose": "security"
      },
      {
        "door": "compute_forensics",
        "host": "uuidna.com",
        "arguments": {
          "statement": "@uuidna/qpu is licensed CC-BY-NC-ND-4.0 by Tsvetan Rouschev; commercial use requires a licence from the author, backed by theorem legal_only_the_proven_is_admitted"
        },
        "purpose": "forensics"
      },
      {
        "door": "compute_forensics",
        "host": "uuidna.com",
        "arguments": {
          "statement": "the licence record is at https://uuidna.com/license; its address and imprint are the ones the unit's rights door gives, carried by every result as _meta.license, backed by theorem legal_only_the_proven_is_admitted"
        },
        "purpose": "forensics"
      },
      {
        "door": "compute_forensics",
        "host": "uuidna.com",
        "arguments": {
          "statement": "the author is Tsvetan Rouschev, ORCID https://orcid.org/0009-0000-7312-9778"
        },
        "purpose": "forensics"
      },
      {
        "door": "compute_forensics",
        "host": "uuidna.com",
        "arguments": {
          "statement": "uuidna is represented by https://uuidna.com only; no handle or profile elsewhere speaks for the work unless licensed in writing by the author, backed by theorem legal_only_the_proven_is_admitted"
        },
        "purpose": "forensics"
      },
      {
        "door": "compute_forensics",
        "host": "uuidna.com",
        "arguments": {
          "statement": "Recomputable facts, not legal advice: the inputs a qualified attorney starts from, never the conclusion, backed by theorem legal_only_the_proven_is_admitted"
        },
        "purpose": "forensics"
      },
      {
        "door": "compute_forensics",
        "host": "uuidna.com",
        "arguments": {
          "statement": "CITATION.cff names Tsvetan Rouschev (https://orcid.org/0009-0000-7312-9778) as the author under CC-BY-NC-ND-4.0"
        },
        "purpose": "forensics"
      },
      {
        "door": "compute_forensics",
        "host": "uuidna.com",
        "arguments": {
          "statement": ".zenodo.json names Rouschev, Tsvetan (0009-0000-7312-9778) as creator of QPU under cc-by-nc-nd-4.0"
        },
        "purpose": "forensics"
      },
      {
        "door": "compute_forensics",
        "host": "uuidna.com",
        "arguments": {
          "statement": "package.json names @uuidna/qpu 1.4.0 under CC-BY-NC-ND-4.0 by Tsvetan Rouschev"
        },
        "purpose": "forensics"
      },
      {
        "door": "compute_forensics",
        "host": "uuidna.com",
        "arguments": {
          "statement": "Tests: 152 pass"
        },
        "purpose": "forensics"
      },
      {
        "door": "compute_forensics",
        "host": "uuidna.com",
        "arguments": {
          "statement": "The QPU as the factorer: Shor on the exact simulator for every N within its bound, and the bound itself the honest answer beyond it."
        },
        "purpose": "forensics"
      },
      {
        "door": "compute_forensics",
        "host": "uuidna.com",
        "arguments": {
          "statement": "The QPU as the mirror: any statement reflected into its hidden factors, its angles against the bounds and its mirror queries, each a lead."
        },
        "purpose": "forensics"
      },
      {
        "door": "compute_forensics",
        "host": "uuidna.com",
        "arguments": {
          "statement": "The QPU as the address: one UUID that proves its seal, its content and its neighbours cheaply, tampering always slower than the original."
        },
        "purpose": "forensics"
      },
      {
        "door": "compute_forensics",
        "host": "uuidna.com",
        "arguments": {
          "statement": "The QPU as the register: the Clay relations recomputed in exact integers, the σ-involution the universal core, in 33 bits."
        },
        "purpose": "forensics"
      },
      {
        "door": "compute_forensics",
        "host": "uuidna.com",
        "arguments": {
          "statement": "The QPU as the language machine: any language and dialect by vocabulary, offline and token-free, both ways, and prose programmed from a tool's answer."
        },
        "purpose": "forensics"
      },
      {
        "door": "compute_forensics",
        "host": "uuidna.com",
        "arguments": {
          "statement": "The QPU as the imagination: every lead reflected, every schema door and application family a lead, and more the mind can imagine recorded as leads."
        },
        "purpose": "forensics"
      },
      {
        "door": "compute_forensics",
        "host": "uuidna.com",
        "arguments": {
          "statement": "The QPU as the discoverer: every host's contract read first, every door chosen by what it takes and answers."
        },
        "purpose": "forensics"
      },
      {
        "door": "compute_forensics",
        "host": "uuidna.com",
        "arguments": {
          "statement": "The QPU as the judge of itself: every lead served, refuted or in trial by measurement, and the unit told so."
        },
        "purpose": "forensics"
      },
      {
        "door": "compute_forensics",
        "host": "uuidna.com",
        "arguments": {
          "statement": "The QPU as the database: MongoDB's language over content-addressed entries, history kept by links, any document framework on the RAID."
        },
        "purpose": "forensics"
      },
      {
        "door": "compute_forensics",
        "host": "uuidna.com",
        "arguments": {
          "statement": "The QPU as the harmonic: a432 the key of every colour, the block's accent from the UUID's middle as CMYK, on every result."
        },
        "purpose": "forensics"
      },
      {
        "door": "compute_forensics",
        "host": "uuidna.com",
        "arguments": {
          "statement": "The QPU as the host of tenants: one Worker, a docket per host, roles by token, a security collision answered as a procedure."
        },
        "purpose": "forensics"
      },
      {
        "door": "compute_forensics",
        "host": "uuidna.com",
        "arguments": {
          "statement": "The QPU before the court: the unit's honesty gate judges readiness, signs commits by sealed theorems and refuses what it cannot decide."
        },
        "purpose": "forensics"
      }
    ],
    "agents": [
      "get_rights",
      "audit_security",
      "compute_forensics"
    ],
    "by": "free-by-default",
    "absent": [],
    "operatorAgents": [
      {
        "id": "claude-api",
        "endpoint": "https://api.anthropic.com/v1/messages",
        "model": "claude-opus-5-5",
        "key": "ANTHROPIC_API_KEY[_<TENANT>]",
        "version": "2023-06-01",
        "chosen": false,
        "note": "an operator agent: it joins the audit only when the operator names it (agents: [\"claude-api\"]) and the tenant's key is in the client's request; the free doors are the default and are never overridden"
      }
    ]
  },
  "security": [
    {
      "id": "security:no-live-secret-literal",
      "passed": true,
      "evidence": "no live Stripe key, webhook secret, AWS key or private key literal in the sources"
    },
    {
      "id": "security:tokens-compared-in-constant-time",
      "passed": true,
      "evidence": "sameToken xors the bytes; no early exit on a mismatch"
    },
    {
      "id": "security:signature-compared-in-constant-time",
      "passed": true,
      "evidence": "the Stripe signature is compared by sameHex, xor over every character"
    },
    {
      "id": "security:writes-need-a-role",
      "passed": true,
      "evidence": "POST needs writer, DELETE needs admin; a reader is refused with the procedure"
    },
    {
      "id": "security:tenant-isolation",
      "passed": true,
      "evidence": "the docket is addressed by tenant, never by a fixed name"
    },
    {
      "id": "security:webhook-verified-before-write",
      "passed": true,
      "evidence": "a webhook is verified before anything is written; a refusal is answered 400 and recorded as a lead"
    },
    {
      "id": "security:keys-stay-in-the-worker",
      "passed": true,
      "evidence": "the handler names no secret; the Worker alone reads env"
    },
    {
      "id": "security:cors-headers",
      "passed": true,
      "evidence": "cross-origin reads allowed, preflight answered"
    },
    {
      "id": "security:timeouts-on-outbound",
      "passed": true,
      "evidence": "every outbound fetch of the Worker carries a timeout"
    },
    {
      "id": "security:no-eval",
      "passed": true,
      "evidence": "no eval, no Function constructor"
    }
  ]
}

repository · repository-watch

Fixture facts against fixture answers: two local branches unpushed, one remote branch not here, a local tag not pushed, a remote tag not fetched, a moved tag, a release whose tag is gone, a version with a tag and no release, a Zenodo version without a release, a second workspace: ten leads.

{"name":"repository","arguments":{"local":{"remote":"https://github.com/uuidna/qpu.git","head":"abcdef1234567890","branch":"rebuild/phase-1","version":"1.4.0","worktrees":[{"path":"/w/qpu","head":"abcdef12","branch":"rebuild/phase-1"},{"path":"/w/qpu-2","head":"1234abcd","branch":null}],"branches":[{"name":"main","upstream":"origin/main","head":"1111"},{"name":"rebuild/phase-1","upstream":null,"head":"abcdef12"},{"name":"orphan/v1.1.1-audit","upstream":null,"head":"2222"}],"tags":[{"name":"v1.3.2","commit":"3333"},{"name":"v1.4.0","commit":"4444"},{"name":"waves-complete","commit":"5555"}],"conceptDoi":"10.5281/zenodo.22700098"},"answers":[{"id":"branches","url":"https://api.github.com/repos/uuidna/qpu/branches?per_page=100","purpose":"branches","contracted":"yes","status":200,"text":"[{\"name\":\"main\",\"commit\":{\"sha\":\"1111\"}},{\"name\":\"clean\",\"commit\":{\"sha\":\"9999\"}}]"},{"id":"tags","url":"https://api.github.com/repos/uuidna/qpu/tags?per_page=100","purpose":"tags","contracted":"yes","status":200,"text":"[{\"name\":\"v1.3.2\",\"commit\":{\"sha\":\"3333aaaa\"}},{\"name\":\"v1.4.0\",\"commit\":{\"sha\":\"ffff\"}},{\"name\":\"v1.0.1\",\"commit\":{\"sha\":\"0101\"}}]"},{"id":"releases","url":"https://api.github.com/repos/uuidna/qpu/releases?per_page=100","purpose":"releases","contracted":"yes","status":200,"text":"[{\"tag_name\":\"v1.3.2\",\"name\":\"v1.3.2\",\"draft\":false,\"prerelease\":false,\"published_at\":\"2026-10-01\"},{\"tag_name\":\"v1.0.1\",\"name\":\"v1.0.1\",\"draft\":false,\"prerelease\":false,\"published_at\":\"2026-09-01\"},{\"tag_name\":\"v0.9.0\",\"name\":\"v0.9.0\",\"draft\":false,\"prerelease\":false,\"published_at\":\"2026-08-01\"}]"},{"id":"zenodo","url":"https://zenodo.org/api/records?q=x","purpose":"zenodo","contracted":"unknown","status":200,"text":"{\"hits\":{\"hits\":[{\"metadata\":{\"version\":\"v1.3.2\"}},{\"metadata\":{\"version\":\"1.1.1\"}}]}}"}]}}

✓ as expected

repository · Workspaces, branches, tags and releases watched and verified online, pure. Phase one (local): the requests to GitHub (branches, tags, releases) and Zenodo (every version of the concept DOI), each checked against the contract discovery found. Phase two (plus answers): agreement and leads — a branch or tag only here or only there, a moved tag, a release without its tag, a version without a tag or release, a Zenodo version without a release, a second workspace. The client runs git and fetches; nothing here does.

phase

watch

branches

3

tags

3

releases

3

leads

10

refusals

0

page

--- title: Repository order: 57 --- # Workspaces, branches, tags and releases, watched Gathered here and verified online on 2026-10-25T21:38:29.820Z by `npm run next` through the `repository` tool: uuidna/qpu, HEAD abcdef12 on rebuild/phase-1, package version 1.4.0, 2 workspace(s). | Kind | Here | Remote | Agree | Only here | Only remote | |---|---:|---:|---:|---|---| | branches | 3 | 2 | 1 | rebuild/phase-1, orphan/v1.1.1-audit | clean | | tags | 3 | 3 | 1 | waves-complete | v1.0.1 | Releases: 3, latest v1.3.2; version tag present, release absent. Zenodo: 2 version(s), latest v1.3.2, without a release: 1.1.1. Tags moved: v1.4.0. ## Leads - `branch-only-local-rebuild-phase-1`: branch rebuild/phase-1 exists here and not at uuidna/qpu — unpushed work, or a local experiment: push it, or record why it stays local - `branch-only-local-orphan-v1-1-1-audit`: branch orphan/v1.1.1-audit exists here and not at uuidna/qpu — unpushed work, or a local experiment: push it, or record why it stays local - `branch-only-remote-clean`: branch clean exists at the remote and not here — fetch it, or it is another workspace's - `tag-only-local-waves-complete`: tag waves-complete exists here and not at the remote — a tag that is not pushed is not a release: push it or delete it - `tag-only-remote-v1-0-1`: tag v1.0.1 exists at the remote and not here — fetch tags - `tag-moved-v1-4-0`: tag v1.4.0 points at different commits here and at the remote — a moved tag is a rewritten release: the two commits are the evidence - `release-without-tag-v0-9-0`: release v0.9.0 has no tag at the remote — a release names a tag that is gone - `version-without-release-v1.4.0`: no GitHub release for v1.4.0 — the release is the author's act; the Zenodo webhook archives it - `zenodo-without-release-1-1-1`: Zenodo holds version 1.1.1 and GitHub has no release for it — a Zenodo version without its release: the orphan lineage, or a manual upload - `workspace-qpu-2`: workspace /w/qpu-2 at 1234abcd on detached HEAD — a second workspace holds work the main one does not see; merge or record it

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "phase": "watch",
  "branches": 3,
  "tags": 3,
  "releases": 3,
  "leads": 10,
  "refusals": 0,
  "watch": {
    "remote": "https://github.com/uuidna/qpu.git",
    "owner": "uuidna",
    "repo": "qpu",
    "head": "abcdef1234567890",
    "branch": "rebuild/phase-1",
    "version": "1.4.0",
    "worktrees": 2,
    "branches": {
      "local": 3,
      "remote": 2,
      "onlyLocal": [
        "rebuild/phase-1",
        "orphan/v1.1.1-audit"
      ],
      "onlyRemote": [
        "clean"
      ],
      "agree": [
        "main"
      ]
    },
    "tags": {
      "local": 3,
      "remote": 3,
      "onlyLocal": [
        "waves-complete"
      ],
      "onlyRemote": [
        "v1.0.1"
      ],
      "agree": [
        "v1.3.2"
      ],
      "mismatch": [
        "v1.4.0"
      ]
    },
    "releases": {
      "count": 3,
      "latest": "v1.3.2",
      "withoutTag": [
        "v0.9.0"
      ],
      "versionHasTag": true,
      "versionHasRelease": false
    },
    "zenodo": {
      "versions": 2,
      "latest": "v1.3.2",
      "withoutRelease": [
        "1.1.1"
      ]
    },
    "leads": [
      {
        "id": "branch-only-local-rebuild-phase-1",
        "source": "https://github.com/uuidna/qpu.git",
        "statement": "branch rebuild/phase-1 exists here and not at uuidna/qpu",
        "status": "open",
        "reason": "unpushed work, or a local experiment: push it, or record why it stays local"
      },
      {
        "id": "branch-only-local-orphan-v1-1-1-audit",
        "source": "https://github.com/uuidna/qpu.git",
        "statement": "branch orphan/v1.1.1-audit exists here and not at uuidna/qpu",
        "status": "open",
        "reason": "unpushed work, or a local experiment: push it, or record why it stays local"
      },
      {
        "id": "branch-only-remote-clean",
        "source": "https://github.com/uuidna/qpu.git",
        "statement": "branch clean exists at the remote and not here",
        "status": "open",
        "reason": "fetch it, or it is another workspace's"
      },
      {
        "id": "tag-only-local-waves-complete",
        "source": "https://github.com/uuidna/qpu.git",
        "statement": "tag waves-complete exists here and not at the remote",
        "status": "open",
        "reason": "a tag that is not pushed is not a release: push it or delete it"
      },
      {
        "id": "tag-only-remote-v1-0-1",
        "source": "https://github.com/uuidna/qpu.git",
        "statement": "tag v1.0.1 exists at the remote and not here",
        "status": "open",
        "reason": "fetch tags"
      },
      {
        "id": "tag-moved-v1-4-0",
        "source": "https://github.com/uuidna/qpu.git",
        "statement": "tag v1.4.0 points at different commits here and at the remote",
        "status": "open",
        "reason": "a moved tag is a rewritten release: the two commits are the evidence"
      },
      {
        "id": "release-without-tag-v0-9-0",
        "source": "https://github.com/uuidna/qpu.git",
        "statement": "release v0.9.0 has no tag at the remote",
        "status": "open",
        "reason": "a release names a tag that is gone"
      },
      {
        "id": "version-without-release-v1.4.0",
        "source": "https://github.com/uuidna/qpu.git",
        "statement": "no GitHub release for v1.4.0",
        "status": "open",
        "reason": "the release is the author's act; the Zenodo webhook archives it"
      },
      {
        "id": "zenodo-without-release-1-1-1",
        "source": "https://github.com/uuidna/qpu.git",
        "statement": "Zenodo holds version 1.1.1 and GitHub has no release for it",
        "status": "open",
        "reason": "a Zenodo version without its release: the orphan lineage, or a manual upload"
      },
      {
        "id": "workspace-qpu-2",
        "source": "https://github.com/uuidna/qpu.git",
        "statement": "workspace /w/qpu-2 at 1234abcd on detached HEAD",
        "status": "open",
        "reason": "a second workspace holds work the main one does not see; merge or record it"
      }
    ],
    "refusals": []
  },
  "page": "---\ntitle: Repository\norder: 57\n---\n\n# Workspaces, branches, tags and releases, watched\n\nGathered here and verified online on 2026-10-25T21:38:29.820Z by `npm run next` through the `repository` tool: uuidna/qpu, HEAD abcdef12 on rebuild/phase-1, package version 1.4.0, 2 workspace(s).\n\n| Kind | Here | Remote | Agree | Only here | Only remote |\n|---|---:|---:|---:|---|---|\n| branches | 3 | 2 | 1 | rebuild/phase-1, orphan/v1.1.1-audit | clean |\n| tags | 3 | 3 | 1 | waves-complete | v1.0.1 |\n\nReleases: 3, latest v1.3.2; version tag present, release absent. Zenodo: 2 version(s), latest v1.3.2, without a release: 1.1.1. Tags moved: v1.4.0.\n\n## Leads\n\n- `branch-only-local-rebuild-phase-1`: branch rebuild/phase-1 exists here and not at uuidna/qpu — unpushed work, or a local experiment: push it, or record why it stays local\n- `branch-only-local-orphan-v1-1-1-audit`: branch orphan/v1.1.1-audit exists here and not at uuidna/qpu — unpushed work, or a local experiment: push it, or record why it stays local\n- `branch-only-remote-clean`: branch clean exists at the remote and not here — fetch it, or it is another workspace's\n- `tag-only-local-waves-complete`: tag waves-complete exists here and not at the remote — a tag that is not pushed is not a release: push it or delete it\n- `tag-only-remote-v1-0-1`: tag v1.0.1 exists at the remote and not here — fetch tags\n- `tag-moved-v1-4-0`: tag v1.4.0 points at different commits here and at the remote — a moved tag is a rewritten release: the two commits are the evidence\n- `release-without-tag-v0-9-0`: release v0.9.0 has no tag at the remote — a release names a tag that is gone\n- `version-without-release-v1.4.0`: no GitHub release for v1.4.0 — the release is the author's act; the Zenodo webhook archives it\n- `zenodo-without-release-1-1-1`: Zenodo holds version 1.1.1 and GitHub has no release for it — a Zenodo version without its release: the orphan lineage, or a manual upload\n- `workspace-qpu-2`: workspace /w/qpu-2 at 1234abcd on detached HEAD — a second workspace holds work the main one does not see; merge or record it\n"
}

jsonld · jsonld-block

A block as schema.org JSON-LD: a CreativeWork of the SoftwareApplication, the author a Person with an ORCID, the licence a URL, the date ISO 8601.

{"name":"jsonld","arguments":{"kind":"block","tool":"clay","id":"941ef62e-d97b-2438-bfc8-22ae9e5da781","description":"The Clay register recomputed"}}

✓ as expected

jsonld · schema.org JSON-LD, pure: for a block (tool, id, description), a page (url, title, description, uuid?) or an offer of the catalogue (product, variant, currency). The author a Person with an ORCID, the licence a URL, dates ISO 8601, languages ISO 639-1, currencies ISO 4217. Every tools/call result already carries its block's JSON-LD in _meta.jsonLd; every documentation page carries its own in its head.

kind

block

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "kind": "block",
  "jsonLd": {
    "@context": "https://schema.org",
    "@type": "CreativeWork",
    "@id": "urn:uuid:941ef62e-d97b-2438-bfc8-22ae9e5da781",
    "identifier": "941ef62e-d97b-2438-bfc8-22ae9e5da781",
    "name": "clay · @uuidna/qpu",
    "description": "The Clay register recomputed",
    "isPartOf": {
      "@type": "SoftwareApplication",
      "name": "@uuidna/qpu",
      "applicationCategory": "DeveloperApplication",
      "license": "https://uuidna.com/license",
      "author": {
        "@type": "Person",
        "name": "Tsvetan Rouschev",
        "@id": "https://orcid.org/0009-0000-7312-9778",
        "identifier": "https://orcid.org/0009-0000-7312-9778"
      }
    },
    "author": {
      "@type": "Person",
      "name": "Tsvetan Rouschev",
      "@id": "https://orcid.org/0009-0000-7312-9778",
      "identifier": "https://orcid.org/0009-0000-7312-9778"
    },
    "license": "https://uuidna.com/license",
    "inLanguage": "en",
    "dateModified": "2026-10-25T21:38:29.820Z",
    "keywords": "clay, qpu, MCP, quantum",
    "isAccessibleForFree": true
  }
}

jsonld · jsonld-catalogue

The whole catalogue as an OfferCatalog of Offers priced in ISO 4217 EUR, each a UnitPriceSpecification by month or year where recurring.

{"name":"jsonld","arguments":{"kind":"catalogue","currency":"eur"}}

✓ as expected

jsonld · schema.org JSON-LD, pure: for a block (tool, id, description), a page (url, title, description, uuid?) or an offer of the catalogue (product, variant, currency). The author a Person with an ORCID, the licence a URL, dates ISO 8601, languages ISO 639-1, currencies ISO 4217. Every tools/call result already carries its block's JSON-LD in _meta.jsonLd; every documentation page carries its own in its head.

kind

catalogue

offers

7

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "kind": "catalogue",
  "offers": 7,
  "jsonLd": {
    "@context": "https://schema.org",
    "@type": "OfferCatalog",
    "name": "QPU licences",
    "itemListElement": [
      {
        "@context": "https://schema.org",
        "@type": "Offer",
        "name": "qpu-a432 harmonic-default",
        "description": "the a432 harmonic default: free under attribution, every result carrying the licence",
        "price": "0.00",
        "priceCurrency": "EUR",
        "itemOffered": {
          "@type": "SoftwareApplication",
          "name": "QPU a432",
          "applicationCategory": "DeveloperApplication",
          "license": "https://uuidna.com/license",
          "author": {
            "@type": "Person",
            "name": "Tsvetan Rouschev",
            "@id": "https://orcid.org/0009-0000-7312-9778",
            "identifier": "https://orcid.org/0009-0000-7312-9778"
          }
        },
        "seller": {
          "@type": "Person",
          "name": "Tsvetan Rouschev",
          "@id": "https://orcid.org/0009-0000-7312-9778",
          "identifier": "https://orcid.org/0009-0000-7312-9778"
        },
        "availability": "https://schema.org/InStock"
      },
      {
        "@context": "https://schema.org",
        "@type": "Offer",
        "name": "qpu-domain yearly",
        "description": "commercial use of the QPU framework on one named domain, for a year",
        "price": "432.00",
        "priceCurrency": "EUR",
        "itemOffered": {
          "@type": "SoftwareApplication",
          "name": "QPU domain",
          "applicationCategory": "DeveloperApplication",
          "license": "https://uuidna.com/license",
          "author": {
            "@type": "Person",
            "name": "Tsvetan Rouschev",
            "@id": "https://orcid.org/0009-0000-7312-9778",
            "identifier": "https://orcid.org/0009-0000-7312-9778"
          }
        },
        "seller": {
          "@type": "Person",
          "name": "Tsvetan Rouschev",
          "@id": "https://orcid.org/0009-0000-7312-9778",
          "identifier": "https://orcid.org/0009-0000-7312-9778"
        },
        "availability": "https://schema.org/InStock",
        "priceSpecification": {
          "@type": "UnitPriceSpecification",
          "price": "432.00",
          "priceCurrency": "EUR",
          "unitText": "domain",
          "billingIncrement": 1,
          "billingDuration": 1,
          "unitCode": "ANN"
        }
      },
      {
        "@context": "https://schema.org",
        "@type": "Offer",
        "name": "qpu-domain monthly",
        "description": "the same, by the month",
        "price": "43.20",
        "priceCurrency": "EUR",
        "itemOffered": {
          "@type": "SoftwareApplication",
          "name": "QPU domain",
          "applicationCategory": "DeveloperApplication",
          "license": "https://uuidna.com/license",
          "author": {
            "@type": "Person",
            "name": "Tsvetan Rouschev",
            "@id": "https://orcid.org/0009-0000-7312-9778",
            "identifier": "https://orcid.org/0009-0000-7312-9778"
          }
        },
        "seller": {
          "@type": "Person",
          "name": "Tsvetan Rouschev",
          "@id": "https://orcid.org/0009-0000-7312-9778",
          "identifier": "https://orcid.org/0009-0000-7312-9778"
        },
        "availability": "https://schema.org/InStock",
        "priceSpecification": {
          "@type": "UnitPriceSpecification",
          "price": "43.20",
          "priceCurrency": "EUR",
          "unitText": "domain",
          "billingIncrement": 1,
          "billingDuration": 1,
          "unitCode": "MON"
        }
      },
      {
        "@context": "https://schema.org",
        "@type": "Offer",
        "name": "qpu-tenant yearly",
        "description": "commercial use on every domain of one tenant, for a year",
        "price": "2160.00",
        "priceCurrency": "EUR",
        "itemOffered": {
          "@type": "SoftwareApplication",
          "name": "QPU tenant",
          "applicationCategory": "DeveloperApplication",
          "license": "https://uuidna.com/license",
          "author": {
            "@type": "Person",
            "name": "Tsvetan Rouschev",
            "@id": "https://orcid.org/0009-0000-7312-9778",
            "identifier": "https://orcid.org/0009-0000-7312-9778"
          }
        },
        "seller": {
          "@type": "Person",
          "name": "Tsvetan Rouschev",
          "@id": "https://orcid.org/0009-0000-7312-9778",
          "identifier": "https://orcid.org/0009-0000-7312-9778"
        },
        "availability": "https://schema.org/InStock",
        "priceSpecification": {
          "@type": "UnitPriceSpecification",
          "price": "2160.00",
          "priceCurrency": "EUR",
          "unitText": "tenant",
          "billingIncrement": 1,
          "billingDuration": 1,
          "unitCode": "ANN"
        }
      },
      {
        "@context": "https://schema.org",
        "@type": "Offer",
        "name": "qpu-seat monthly",
        "description": "one seat of the full platform (every toolbox, every host), by the month",
        "price": "27.00",
        "priceCurrency": "EUR",
        "itemOffered": {
          "@type": "SoftwareApplication",
          "name": "QPU seat",
          "applicationCategory": "DeveloperApplication",
          "license": "https://uuidna.com/license",
          "author": {
            "@type": "Person",
            "name": "Tsvetan Rouschev",
            "@id": "https://orcid.org/0009-0000-7312-9778",
            "identifier": "https://orcid.org/0009-0000-7312-9778"
          }
        },
        "seller": {
          "@type": "Person",
          "name": "Tsvetan Rouschev",
          "@id": "https://orcid.org/0009-0000-7312-9778",
          "identifier": "https://orcid.org/0009-0000-7312-9778"
        },
        "availability": "https://schema.org/InStock",
        "priceSpecification": {
          "@type": "UnitPriceSpecification",
          "price": "27.00",
          "priceCurrency": "EUR",
          "unitText": "seat",
          "billingIncrement": 1,
          "billingDuration": 1,
          "unitCode": "MON"
        }
      },
      {
        "@context": "https://schema.org",
        "@type": "Offer",
        "name": "qpu-metered per-thousand-calls",
        "description": "tools/call metered from the docket's receipts, per thousand calls, billed monthly",
        "price": "1.08",
        "priceCurrency": "EUR",
        "itemOffered": {
          "@type": "SoftwareApplication",
          "name": "QPU metered",
          "applicationCategory": "DeveloperApplication",
          "license": "https://uuidna.com/license",
          "author": {
            "@type": "Person",
            "name": "Tsvetan Rouschev",
            "@id": "https://orcid.org/0009-0000-7312-9778",
            "identifier": "https://orcid.org/0009-0000-7312-9778"
          }
        },
        "seller": {
          "@type": "Person",
          "name": "Tsvetan Rouschev",
          "@id": "https://orcid.org/0009-0000-7312-9778",
          "identifier": "https://orcid.org/0009-0000-7312-9778"
        },
        "availability": "https://schema.org/InStock"
      },
      {
        "@context": "https://schema.org",
        "@type": "Offer",
        "name": "qpu-enterprise platform",
        "description": "the full featured platform for one organisation: every toolbox, every host, the RAID, the court, with the author's support",
        "price": "10800.00",
        "priceCurrency": "EUR",
        "itemOffered": {
          "@type": "SoftwareApplication",
          "name": "QPU enterprise",
          "applicationCategory": "DeveloperApplication",
          "license": "https://uuidna.com/license",
          "author": {
            "@type": "Person",
            "name": "Tsvetan Rouschev",
            "@id": "https://orcid.org/0009-0000-7312-9778",
            "identifier": "https://orcid.org/0009-0000-7312-9778"
          }
        },
        "seller": {
          "@type": "Person",
          "name": "Tsvetan Rouschev",
          "@id": "https://orcid.org/0009-0000-7312-9778",
          "identifier": "https://orcid.org/0009-0000-7312-9778"
        },
        "availability": "https://schema.org/InStock",
        "priceSpecification": {
          "@type": "UnitPriceSpecification",
          "price": "10800.00",
          "priceCurrency": "EUR",
          "unitText": "platform",
          "billingIncrement": 1,
          "billingDuration": 1,
          "unitCode": "ANN"
        }
      }
    ]
  }
}

codes · codes-plan

What the codes tool would validate and where the CLDR lists are: eleven locales, three currencies, the tenants' countries.

{"name":"codes","arguments":{}}

✓ as expected

codes · The tree's ISO codes validated against the CLDR lists a client fetched (languages ISO 639, currencies ISO 4217, territories ISO 3166-1): every locale of the language toolbox, every currency of the catalogue, the tenants' countries. Without the lists: what would be checked and where the lists are. A code the standard does not know is a lead, never a guess.

phase

plan

locales

11

currencies

3

territories

2

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "phase": "plan",
  "locales": 11,
  "currencies": 3,
  "territories": 2,
  "standards": [
    {
      "id": "cldr-languages",
      "contract": "https://raw.githubusercontent.com/unicode-org/cldr-json/main/cldr-json/cldr-localenames-full/main/en/languages.json"
    },
    {
      "id": "cldr-currencies",
      "contract": "https://raw.githubusercontent.com/unicode-org/cldr-json/main/cldr-json/cldr-numbers-full/main/en/currencies.json"
    },
    {
      "id": "cldr-territories",
      "contract": "https://raw.githubusercontent.com/unicode-org/cldr-json/main/cldr-json/cldr-localenames-full/main/en/territories.json"
    }
  ],
  "mine": {
    "locales": [
      "en",
      "bg",
      "de",
      "fr",
      "es",
      "it",
      "ru",
      "zh",
      "ja",
      "pt",
      "nl"
    ],
    "currencies": [
      "eur",
      "usd",
      "bgn"
    ],
    "territories": [
      "BG",
      "US"
    ]
  }
}

configure · configure-versions

Versions define development and development defines versions: the current version from its single source, the next number from what the catalogue changed since the last tag (tools added: the minor digit carries), kept to single digits with a build address, the open leads as the version's plan, Payload's versioning over the RAID (every version an entry, never overwritten, no cap).

{"name":"configure","arguments":{"kind":"versions","lastTag":{"version":"v1.4.0","tools":["processor","circuit","clay"]}}}

✓ as expected

configure · MCP configures Payload and the rest: Payload's default plugins (lexical with the one qpu block, nested-docs, seo, search, redirects, form-builder, multi-tenant, mcp) in all their combinations with no custom collection; the Worker's wrangler configuration from the tenants; each tenant's variable names (never values); the PWA manifest; the MCP registration. Every configuration carries its torus: address, seed, reflection and trinity, and whether the loop closes (config → text → config at the same address). With current (the text a client holds), the drift: every path that differs, each a lead. Without kind: all of them, tested.

kind

versions

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "kind": "versions",
  "config": {
    "current": "1.4.0",
    "source": "package.json, injected at generation into src/quantum/version.ts; the Worker names it on every reply (X-Qpu-Version) and in its discovery document",
    "lifespan": "infinite by architecture: every component a single digit, a patch never moves the number (the change is its content address, carried as build metadata), a tool new carries the minor digit and at 10 the major, the major past 9 returns to 1 with the epoch counted; within a version every state is an address",
    "next": {
      "next": "1.5.0+e1.7eae5317",
      "bump": "minor",
      "epoch": 1,
      "build": "7eae5317",
      "added": [
        "echo",
        "echo_benchmark",
        "roadmap",
        "algorithm",
        "software",
        "statements",
        "repositories",
        "quantumlib",
        "quantum-error-correction",
        "chemistry-simulation",
        "fault-tolerant-design",
        "leads",
        "audit",
        "match",
        "verify",
        "metrics",
        "textbook",
        "css",
        "dashboard",
        "clone",
        "discover",
        "wave",
        "readiness",
        "imagine",
        "e2e",
        "translate",
        "prose",
        "mongo",
        "stripe",
        "legal",
        "repository",
        "jsonld",
        "codes",
        "payload",
        "configure",
        "extend",
        "fold",
        "seal"
      ],
      "removed": [],
      "digits": "single"
    },
    "nextNeeds": null,
    "defines": {
      "openLeads": 2324,
      "byStatus": {
        "open": 2294,
        "partial": 30
      },
      "plan": [
        "perspective-database",
        "perspective-harmonic",
        "perspective-tenants",
        "perspective-court",
        "raid-virtualizes-os",
        "payload-port-cloudflare",
        "payload-db-adapter-docket",
        "payload-mcp-plugin-doors",
        "toolbox-remaining-scripts",
        "worlds-linked",
        "language-speech",
        "language-video",
        "language-traditions",
        "aspects-by-theorems",
        "stripe-per-tenant",
        "edge-heavy-phases",
        "double-torus-trinities",
        "rbac-payload-mcp",
        "payload-cms-host",
        "payload-cms-default-plugins",
        "mcp-ui-extension",
        "iot-adapter-cluster",
        "device-reading-verifier",
        "glagolitic-above-thousand",
        "gap-shared-docket",
        "gap-time-witness",
        "gap-circuit-crossing",
        "address-agreement",
        "pravets-8m-recompute",
        "e2e-textbook-verify-edge",
        "github-mcp-integrated",
        "cloudflare-mcps-integrated",
        "unit-quantum-advantage-door-edge",
        "pqc-signature-over-folds",
        "qpu-fullstack-on-payload-website",
        "old-site-removal-gated",
        "textbook-theorems-via-payload-mcp",
        "claude-api-fused",
        "research",
        "learn-map",
        "videos",
        "cirq-google-integration",
        "quantumlib-documentation",
        "chemistry-simulation-lead",
        "educational-videos",
        "page:cirq/build",
        "page:cirq/build/classical_control",
        "page:cirq/build/custom_gates",
        "page:cirq/build/ecosystem",
        "page:cirq/build/gates",
        "page:cirq/build/interop",
        "page:cirq/build/operators",
        "page:cirq/build/protocols",
        "page:cirq/build/qubits",
        "page:cirq/build/qudits",
        "page:cirq/citation",
        "page:cirq/dev/development",
        "page:cirq/dev/gates",
        "page:cirq/dev/modules",
        "page:cirq/dev/nomenclature",
        "page:cirq/dev/notebooks",
        "page:cirq/dev/plotting",
        "page:cirq/dev/release",
        "page:cirq/dev/rfc_process",
        "page:cirq/dev/serialization",
        "page:cirq/dev/style",
        "page:cirq/dev/support",
        "page:cirq/dev/triage",
        "page:cirq/dev/versions",
        "page:cirq/experiments",
        "page:cirq/experiments/Readout-Analysis",
        "page:cirq/experiments/Readout-Data-Collection",
        "page:cirq/experiments/benchmarks/rabi_oscillations",
        "page:cirq/experiments/best-practices",
        "page:cirq/experiments/data-collection-idioms",
        "page:cirq/experiments/fermi_hubbard",
        "page:cirq/experiments/fermi_hubbard/experiment_example",
        "page:cirq/experiments/fermi_hubbard/publication_results",
        "page:cirq/experiments/fourier_checking",
        "page:cirq/experiments/ftbbl",
        "page:cirq/experiments/guide/best_practices",
        "page:cirq/experiments/guide/data_analysis",
        "page:cirq/experiments/guide/data_collection",
        "page:cirq/experiments/guide/data_collection_idioms",
        "page:cirq/experiments/hfvqe",
        "page:cirq/experiments/hfvqe/molecular_data",
        "page:cirq/experiments/hidden_linear_function",
        "page:cirq/experiments/kpz",
        "page:cirq/experiments/lattice_gauge/lattice_gauge",
        "page:cirq/experiments/otoc",
        "page:cirq/experiments/otoc/otoc_example",
        "page:cirq/experiments/qaoa",
        "page:cirq/experiments/qaoa/binary_paintshop",
        "page:cirq/experiments/qaoa/example_problems",
        "page:cirq/experiments/qaoa/hardware_grid_circuits",
        "page:cirq/experiments/qaoa/landscape_analysis",
        "page:cirq/experiments/qaoa/optimization_analysis",
        "page:cirq/experiments/qaoa/precomputed_analysis",
        "page:cirq/experiments/qaoa/qaoa_ising",
        "page:cirq/experiments/qaoa/routing_with_tket",
        "page:cirq/experiments/qaoa/tasks",
        "page:cirq/experiments/qcqmc",
        "page:cirq/experiments/qcqmc/experimental_wavefunctions",
        "page:cirq/experiments/qcqmc/high_level",
        "page:cirq/experiments/qec_memory/surface_code_lambda",
        "page:cirq/experiments/quantum_walks",
        "page:cirq/experiments/random_circuit_sampling/rcs_experiment_demonstration",
        "page:cirq/experiments/research",
        "page:cirq/experiments/time_crystals/time_crystal_circuit_generation",
        "page:cirq/experiments/toric_code",
        "page:cirq/experiments/toric_code/toric_code_ground_state",
        "page:cirq/experiments/unitary/quantum_chess",
        "page:cirq/experiments/unitary/quantum_chess/concepts",
        "page:cirq/experiments/unitary/quantum_chess/quantum_chess_client",
        "page:cirq/experiments/unitary/quantum_chess/quantum_chess_rest_api",
        "page:cirq/experiments/unitary/unitary/game_design",
        "page:cirq/experiments/unitary/unitary/getting_started",
        "page:cirq/experiments/unitary/unitary/overview",
        "page:cirq/experiments/unitary/unitary/physics_terms",
        "page:cirq/experiments/unitary/unitary/tic_tac_toe",
        "page:cirq/experiments/variational_algorithm",
        "page:cirq/gatezoo",
        "page:cirq/google/access",
        "page:cirq/google/best_practices",
        "page:cirq/google/calibration",
        "page:cirq/google/engine",
        "page:cirq/google/internal_gates",
        "page:cirq/google/qubit-placement",
        "page:cirq/google/specification",
        "page:cirq/hardware",
        "page:cirq/hardware/aqt/access",
        "page:cirq/hardware/aqt/getting_started",
        "page:cirq/hardware/azure-quantum/access",
        "page:cirq/hardware/azure-quantum/getting_started_honeywell",
        "page:cirq/hardware/azure-quantum/getting_started_ionq",
        "page:cirq/hardware/ionq/access",
        "page:cirq/hardware/ionq/calibrations",
        "page:cirq/hardware/ionq/circuits",
        "page:cirq/hardware/ionq/getting_started",
        "page:cirq/hardware/ionq/jobs",
        "page:cirq/hardware/ionq/service",
        "page:cirq/hardware/pasqal/access",
        "page:cirq/hardware/pasqal/devices",
        "page:cirq/hardware/pasqal/getting_started",
        "page:cirq/hardware/pasqal/sampler",
        "page:cirq/hardware/qubit_picking",
        "page:cirq/named_topologies",
        "page:cirq/noise",
        "page:cirq/noise/heatmaps",
        "page:cirq/noise/qcvv/coherent_vs_incoherent_xeb",
        "page:cirq/noise/qcvv/isolated_xeb",
        "page:cirq/noise/qcvv/parallel_xeb",
        "page:cirq/noise/qcvv/xeb_theory",
        "page:cirq/simulate",
        "page:cirq/simulate/params",
        "page:cirq/simulate/qvm_basic_example",
        "page:cirq/simulate/qvm_builder_code",
        "page:cirq/simulate/qvm_stabilizer_example",
        "page:cirq/simulate/virtual_engine_interface",
        "page:cirq/start/best_practices",
        "page:cirq/start/install",
        "page:cirq/start/intro",
        "page:cirq/start/start",
        "page:cirq/transform",
        "page:cirq/transform/routing_transformer",
        "page:cirq/tutorials/google/colab",
        "page:cirq/tutorials/google/spin_echoes",
        "page:cirq/tutorials/google/start",
        "page:cirq/tutorials/google/visualizing_calibration_metrics",
        "page:openfermion/fqe",
        "page:openfermion/fqe/guide/introduction",
        "page:openfermion/fqe/tutorials/diagonal_coulomb_evolution",
        "page:openfermion/fqe/tutorials/fermi_hubbard",
        "page:openfermion/fqe/tutorials/fqe_vs_openfermion_quadratic_hamiltonians",
        "page:openfermion/fqe/tutorials/hamiltonian_time_evolution_and_expectation_estimation",
        "page:openfermion/install",
        "page:openfermion/overview",
        "page:openfermion/tutorials/binary_code_transforms",
        "page:openfermion/tutorials/bosonic_operators",
        "page:openfermion/tutorials/circuits_2_diagonal_coulomb_trotter",
        "page:openfermion/tutorials/circuits_3_arbitrary_basis_trotter",
        "page:openfermion/tutorials/intro_workshop_exercises",
        "page:openfermion/tutorials/jordan_wigner_and_bravyi_kitaev_transforms",
        "page:qsim/bazel",
        "page:qsim/cirq_interface",
        "page:qsim/docker",
        "page:qsim/input_format",
        "page:qsim/install_qsimcirq",
        "page:qsim/mps",
        "page:qsim/overview",
        "page:qsim/qsimcirq_tutorial",
        "page:qsim/release",
        "page:qsim/testing",
        "page:qsim/tutorials/amd_gpu",
        "page:qsim/tutorials/gcp_before_you_begin",
        "page:qsim/tutorials/gcp_cpu",
        "page:qsim/tutorials/gcp_gpu",
        "page:qsim/tutorials/multinode",
        "page:qsim/tutorials/noisy_qsimcirq",
        "page:qsim/tutorials/q32d14",
        "page:qsim/tutorials/qsimcirq_gcp",
        "page:qsim/type_reference",
        "page:qsim/usage",
        "page:reference/cc/qsim",
        "page:reference/cc/qsim/class/qsim/basic-gate-fuser",
        "page:reference/cc/qsim/class/qsim/circuit-qsim-parser",
        "page:reference/cc/qsim/class/qsim/fuser",
        "page:reference/cc/qsim/class/qsim/simulator-a-v-x",
        "page:reference/cc/qsim/class/qsim/simulator-basic",
        "page:reference/cc/qsim/class/qsim/simulator-s-s-e",
        "page:reference/cc/qsim/class/qsim/state-space",
        "page:reference/cc/qsim/class/qsim/state-space-a-v-x",
        "page:reference/cc/qsim/class/qsim/state-space-basic",
        "page:reference/cc/qsim/class/qsim/state-space-s-s-e",
        "page:reference/cc/qsim/class/qsim/unitary/unitary-calculator-basic",
        "page:reference/cc/qsim/class/qsim/unitary/unitary-space",
        "page:reference/cc/qsim/namespace/qsim",
        "page:reference/cc/qsim/namespace/qsim/cirq",
        "page:reference/cc/qsim/namespace/qsim/detail",
        "page:reference/cc/qsim/namespace/qsim/gate",
        "page:reference/cc/qsim/namespace/qsim/unitary",
        "page:reference/cc/qsim/struct/qsim/basic-gate-fuser/parameter",
        "page:reference/cc/qsim/struct/qsim/circuit",
        "page:reference/cc/qsim/struct/qsim/cirq/c-c-x",
        "page:reference/cc/qsim/struct/qsim/cirq/c-c-x-pow-gate",
        "page:reference/cc/qsim/struct/qsim/cirq/c-c-z",
        "page:reference/cc/qsim/struct/qsim/cirq/c-c-z-pow-gate",
        "page:reference/cc/qsim/struct/qsim/cirq/c-swap-gate",
        "page:reference/cc/qsim/struct/qsim/cirq/c-x",
        "page:reference/cc/qsim/struct/qsim/cirq/c-x-pow-gate",
        "page:reference/cc/qsim/struct/qsim/cirq/c-z",
        "page:reference/cc/qsim/struct/qsim/cirq/c-z-pow-gate",
        "page:reference/cc/qsim/struct/qsim/cirq/f-sim-gate",
        "page:reference/cc/qsim/struct/qsim/cirq/givens",
        "page:reference/cc/qsim/struct/qsim/cirq/h",
        "page:reference/cc/qsim/struct/qsim/cirq/h-pow-gate",
        "page:reference/cc/qsim/struct/qsim/cirq/i",
        "page:reference/cc/qsim/struct/qsim/cirq/i-s-w-a-p",
        "page:reference/cc/qsim/struct/qsim/cirq/i-swap-pow-gate",
        "page:reference/cc/qsim/struct/qsim/cirq/i1",
        "page:reference/cc/qsim/struct/qsim/cirq/i2",
        "page:reference/cc/qsim/struct/qsim/cirq/matrix-gate",
        "page:reference/cc/qsim/struct/qsim/cirq/matrix-gate1",
        "page:reference/cc/qsim/struct/qsim/cirq/matrix-gate2",
        "page:reference/cc/qsim/struct/qsim/cirq/phased-i-swap-pow-gate",
        "page:reference/cc/qsim/struct/qsim/cirq/phased-x-pow-gate",
        "page:reference/cc/qsim/struct/qsim/cirq/phased-x-z-gate",
        "page:reference/cc/qsim/struct/qsim/cirq/riswap",
        "page:reference/cc/qsim/struct/qsim/cirq/rx",
        "page:reference/cc/qsim/struct/qsim/cirq/ry",
        "page:reference/cc/qsim/struct/qsim/cirq/rz",
        "page:reference/cc/qsim/struct/qsim/cirq/s",
        "page:reference/cc/qsim/struct/qsim/cirq/s-w-a-p",
        "page:reference/cc/qsim/struct/qsim/cirq/swap-pow-gate",
        "page:reference/cc/qsim/struct/qsim/cirq/t",
        "page:reference/cc/qsim/struct/qsim/cirq/three-qubit-diagonal-gate",
        "page:reference/cc/qsim/struct/qsim/cirq/two-qubit-diagonal-gate",
        "page:reference/cc/qsim/struct/qsim/cirq/x",
        "page:reference/cc/qsim/struct/qsim/cirq/x-pow-gate",
        "page:reference/cc/qsim/struct/qsim/cirq/x-x",
        "page:reference/cc/qsim/struct/qsim/cirq/x-x-pow-gate",
        "page:reference/cc/qsim/struct/qsim/cirq/y",
        "page:reference/cc/qsim/struct/qsim/cirq/y-pow-gate",
        "page:reference/cc/qsim/struct/qsim/cirq/y-y",
        "page:reference/cc/qsim/struct/qsim/cirq/y-y-pow-gate",
        "page:reference/cc/qsim/struct/qsim/cirq/z",
        "page:reference/cc/qsim/struct/qsim/cirq/z-pow-gate",
        "page:reference/cc/qsim/struct/qsim/cirq/z-z",
        "page:reference/cc/qsim/struct/qsim/cirq/z-z-pow-gate",
        "page:reference/cc/qsim/struct/qsim/gate",
        "page:reference/cc/qsim/struct/qsim/gate-c-not",
        "page:reference/cc/qsim/struct/qsim/gate-c-p",
        "page:reference/cc/qsim/struct/qsim/gate-c-z",
        "page:reference/cc/qsim/struct/qsim/gate-f-s",
        "page:reference/cc/qsim/struct/qsim/gate-fused",
        "page:reference/cc/qsim/struct/qsim/gate-h-z2",
        "page:reference/cc/qsim/struct/qsim/gate-hd",
        "page:reference/cc/qsim/struct/qsim/gate-i-s",
        "page:reference/cc/qsim/struct/qsim/gate-id1",
        "page:reference/cc/qsim/struct/qsim/gate-id2",
        "page:reference/cc/qsim/struct/qsim/gate-r-x",
        "page:reference/cc/qsim/struct/qsim/gate-r-x-y",
        "page:reference/cc/qsim/struct/qsim/gate-r-y",
        "page:reference/cc/qsim/struct/qsim/gate-r-z",
        "page:reference/cc/qsim/struct/qsim/gate-s",
        "page:reference/cc/qsim/struct/qsim/gate-swap",
        "page:reference/cc/qsim/struct/qsim/gate-t",
        "page:reference/cc/qsim/struct/qsim/gate-x",
        "page:reference/cc/qsim/struct/qsim/gate-x2",
        "page:reference/cc/qsim/struct/qsim/gate-y",
        "page:reference/cc/qsim/struct/qsim/gate-y2",
        "page:reference/cc/qsim/struct/qsim/gate-z",
        "page:reference/cc/qsim/struct/qsim/gate/measurement",
        "page:reference/cc/qsim/struct/qsim/hybrid-simulator",
        "page:reference/cc/qsim/struct/qsim/hybrid-simulator/hybrid-data",
        "page:reference/cc/qsim/struct/qsim/hybrid-simulator/parameter",
        "page:reference/cc/qsim/struct/qsim/i-o",
        "page:reference/cc/qsim/struct/qsim/i-o-file",
        "page:reference/cc/qsim/struct/qsim/parallel-for-t",
        "page:reference/cc/qsim/struct/qsim/q-sim-h-runner",
        "page:reference/cc/qsim/struct/qsim/q-sim-runner",
        "page:reference/cc/qsim/struct/qsim/q-sim-runner/parameter",
        "page:reference/cc/qsim/struct/qsim/sequential-for",
        "page:reference/cc/qsim/struct/qsim/state-space/measurement-result",
        "page:reference/cc/qsim/struct/qsim/unitary/unitary-space-basic",
        "page:reference/python/cirq",
        "page:reference/python/cirq/ABCMetaImplementAnyOneOf",
        "page:reference/python/cirq/AbstractCircuit",
        "page:reference/python/cirq/AbstractInitialMapper",
        "page:reference/python/cirq/Alignment",
        "page:reference/python/cirq/AnyIntegerPowerGateFamily",
        "page:reference/python/cirq/AnyUnitaryGateFamily",
        "page:reference/python/cirq/ApplyChannelArgs",
        "page:reference/python/cirq/ApplyMixtureArgs",
        "page:reference/python/cirq/ApplyUnitaryArgs",
        "page:reference/python/cirq/ArithmeticGate",
        "page:reference/python/cirq/AxisAngleDecomposition",
        "page:reference/python/cirq/BaseDensePauliString",
        "page:reference/python/cirq/BitMaskKeyCondition",
        "page:reference/python/cirq/BooleanHamiltonianGate",
        "page:reference/python/cirq/CCNotPowGate",
        "page:reference/python/cirq/CCY",
        "page:reference/python/cirq/CCYPowGate",
        "page:reference/python/cirq/CCZ",
        "page:reference/python/cirq/CSWAP",
        "page:reference/python/cirq/CSwapGate",
        "page:reference/python/cirq/CXSWAP",
        "page:reference/python/cirq/CY",
        "page:reference/python/cirq/CYPowGate",
        "page:reference/python/cirq/CZSWAP",
        "page:reference/python/cirq/CZTargetGateset",
        "page:reference/python/cirq/CircuitDiagramInfo",
        "page:reference/python/cirq/CircuitDiagramInfoArgs",
        "page:reference/python/cirq/CircuitFunction",
        "page:reference/python/cirq/CircuitOperation",
        "page:reference/python/cirq/CircuitSampleJob",
        "page:reference/python/cirq/ClassicalDataDictionaryStore",
        "page:reference/python/cirq/ClassicalDataStore",
        "page:reference/python/cirq/ClassicalDataStoreReader",
        "page:reference/python/cirq/ClassicalStateSimulator",
        "page:reference/python/cirq/ClassicallyControlledOperation",
        "page:reference/python/cirq/CliffordGate",
        "page:reference/python/cirq/CliffordSimulator",
        "page:reference/python/cirq/CliffordSimulatorStepResult",
        "page:reference/python/cirq/CliffordState",
        "page:reference/python/cirq/CliffordTableau",
        "page:reference/python/cirq/CliffordTableauSimulationState",
        "page:reference/python/cirq/CliffordTrialResult",
        "page:reference/python/cirq/Collector",
        "page:reference/python/cirq/CompilationTargetGateset",
        "page:reference/python/cirq/Concat",
        "page:reference/python/cirq/Condition",
        "page:reference/python/cirq/ConstantQubitNoiseModel",
        "page:reference/python/cirq/ControlledGate",
        "page:reference/python/cirq/ControlledOperation",
        "page:reference/python/cirq/DURATION_LIKE",
        "page:reference/python/cirq/DecompositionContext",
        "page:reference/python/cirq/DensityMatrixSimulationState",
        "page:reference/python/cirq/DensityMatrixStepResult",
        "page:reference/python/cirq/DensityMatrixTrialResult",
        "page:reference/python/cirq/DeviceMetadata",
        "page:reference/python/cirq/DiagonalGate",
        "page:reference/python/cirq/Duration",
        "page:reference/python/cirq/EigenGate",
        "page:reference/python/cirq/ExpressionMap",
        "page:reference/python/cirq/FSimGate",
        "page:reference/python/cirq/FrozenCircuit",
        "page:reference/python/cirq/GateFamily",
        "page:reference/python/cirq/Gateset",
        "page:reference/python/cirq/GlobalPhaseGate",
        "page:reference/python/cirq/GreedyQubitManager",
        "page:reference/python/cirq/GridDeviceMetadata",
        "page:reference/python/cirq/GridQid",
        "page:reference/python/cirq/HardCodedInitialMapper",
        "page:reference/python/cirq/HasJSONNamespace",
        "page:reference/python/cirq/Heatmap",
        "page:reference/python/cirq/I",
        "page:reference/python/cirq/ISWAP",
        "page:reference/python/cirq/ISWAP_INV",
        "page:reference/python/cirq/ISwapPowGate",
        "page:reference/python/cirq/IdentityGate",
        "page:reference/python/cirq/If",
        "page:reference/python/cirq/InterchangeableQubitsGate",
        "page:reference/python/cirq/JsonResolver",
        "page:reference/python/cirq/KET_IMAG",
        "page:reference/python/cirq/KET_MINUS",
        "page:reference/python/cirq/KET_MINUS_IMAG",
        "page:reference/python/cirq/KET_ONE",
        "page:reference/python/cirq/KET_PLUS",
        "page:reference/python/cirq/KET_ZERO",
        "page:reference/python/cirq/KakDecomposition",
        "page:reference/python/cirq/KeyCondition",
        "page:reference/python/cirq/KrausChannel",
        "page:reference/python/cirq/LabelEntity",
        "page:reference/python/cirq/LineInitialMapper",
        "page:reference/python/cirq/LineQid",
        "page:reference/python/cirq/LineTopology",
        "page:reference/python/cirq/LinearCombinationOfGates",
        "page:reference/python/cirq/LinearCombinationOfOperations",
        "page:reference/python/cirq/LinearDict",
        "page:reference/python/cirq/Linspace",
        "page:reference/python/cirq/ListSweep",
        "page:reference/python/cirq/M",
        "page:reference/python/cirq/MSGate",
        "page:reference/python/cirq/MappingManager",
        "page:reference/python/cirq/MatrixGate",
        "page:reference/python/cirq/MeasurementKey",
        "page:reference/python/cirq/MeasurementType",
        "page:reference/python/cirq/MixedUnitaryChannel",
        "page:reference/python/cirq/MutableDensePauliString",
        "page:reference/python/cirq/MutablePauliString",
        "page:reference/python/cirq/NOISE_MODEL_LIKE",
        "page:reference/python/cirq/NamedQid",
        "page:reference/python/cirq/NamedTopology",
        "page:reference/python/cirq/NoiseModel",
        "page:reference/python/cirq/NoiseModelFromNoiseProperties",
        "page:reference/python/cirq/NoiseProperties",
        "page:reference/python/cirq/OpIdentifier",
        "page:reference/python/cirq/PAULI_GATE_LIKE",
        "page:reference/python/cirq/PAULI_STRING_LIKE",
        "page:reference/python/cirq/ParallelGate",
        "page:reference/python/cirq/ParallelGateFamily",
        "page:reference/python/cirq/ParamDictType",
        "page:reference/python/cirq/ParamMappingType",
        "page:reference/python/cirq/ParamResolver",
        "page:reference/python/cirq/ParamResolverOrSimilarType",
        "page:reference/python/cirq/Pauli",
        "page:reference/python/cirq/PauliInteractionGate",
        "page:reference/python/cirq/PauliMeasurementGate",
        "page:reference/python/cirq/PauliStringGateOperation",
        "page:reference/python/cirq/PauliStringPhasor",
        "page:reference/python/cirq/PauliStringPhasorGate",
        "page:reference/python/cirq/PauliSum",
        "page:reference/python/cirq/PauliSumCollector",
        "page:reference/python/cirq/PauliSumExponential",
        "page:reference/python/cirq/PauliSumLike",
        "page:reference/python/cirq/PeriodicValue",
        "page:reference/python/cirq/PhaseGradientGate",
        "page:reference/python/cirq/PhasedFSimGate",
        "page:reference/python/cirq/PhasedISwapPowGate",
        "page:reference/python/cirq/PhasedXPowGate",
        "page:reference/python/cirq/PhasedXZGate",
        "page:reference/python/cirq/PointOptimizationSummary",
        "page:reference/python/cirq/PointOptimizer",
        "page:reference/python/cirq/Points",
        "page:reference/python/cirq/Product",
        "page:reference/python/cirq/ProductOfSums",
        "page:reference/python/cirq/ProductState",
        "page:reference/python/cirq/ProjectorString",
        "page:reference/python/cirq/ProjectorSum",
        "page:reference/python/cirq/QUANTUM_STATE_LIKE",
        "page:reference/python/cirq/QasmArgs",
        "page:reference/python/cirq/QasmOutput",
        "page:reference/python/cirq/QuantumState",
        "page:reference/python/cirq/QuantumStateRepresentation",
        "page:reference/python/cirq/QubitManager",
        "page:reference/python/cirq/QubitOrder",
        "page:reference/python/cirq/QubitPermutationGate",
        "page:reference/python/cirq/R",
        "page:reference/python/cirq/RandomGateChannel",
        "page:reference/python/cirq/ResultDict",
        "page:reference/python/cirq/RouteCQC",
        "page:reference/python/cirq/RoutingSwapTag",
        "page:reference/python/cirq/Rx",
        "page:reference/python/cirq/Ry",
        "page:reference/python/cirq/Rz",
        "page:reference/python/cirq/SQRT_ISWAP",
        "page:reference/python/cirq/SQRT_ISWAP_INV",
        "page:reference/python/cirq/STATE_VECTOR_LIKE",
        "page:reference/python/cirq/Sampler",
        "page:reference/python/cirq/SerializableByKey",
        "page:reference/python/cirq/SetVariable",
        "page:reference/python/cirq/SimpleQubitManager",
        "page:reference/python/cirq/SimulatesAmplitudes",
        "page:reference/python/cirq/SimulatesExpectationValues",
        "page:reference/python/cirq/SimulatesFinalState",
        "page:reference/python/cirq/SimulatesIntermediateState",
        "page:reference/python/cirq/SimulatesIntermediateStateVector",
        "page:reference/python/cirq/SimulatesSamples",
        "page:reference/python/cirq/SimulationProductState",
        "page:reference/python/cirq/SimulationState",
        "page:reference/python/cirq/SimulationStateBase",
        "page:reference/python/cirq/SimulationTrialResult",
        "page:reference/python/cirq/SimulationTrialResultBase",
        "page:reference/python/cirq/SimulatorBase",
        "page:reference/python/cirq/SingleQubitCliffordGate",
        "page:reference/python/cirq/SingleQubitPauliStringGateOperation",
        "page:reference/python/cirq/SparseSimulatorStep",
        "page:reference/python/cirq/SqrtIswapTargetGateset",
        "page:reference/python/cirq/StabilizerChFormSimulationState",
        "page:reference/python/cirq/StabilizerSampler",
        "page:reference/python/cirq/StabilizerSimulationState",
        "page:reference/python/cirq/StabilizerState",
        "page:reference/python/cirq/StabilizerStateChForm",
        "page:reference/python/cirq/StatePreparationChannel",
        "page:reference/python/cirq/StateVectorMixin",
        "page:reference/python/cirq/StateVectorSimulationState",
        "page:reference/python/cirq/StateVectorStepResult",
        "page:reference/python/cirq/StateVectorTrialResult",
        "page:reference/python/cirq/StepResult",
        "page:reference/python/cirq/StepResultBase",
        "page:reference/python/cirq/SumOfProducts",
        "page:reference/python/cirq/SuperconductingQubitsNoiseProperties",
        "page:reference/python/cirq/SupportsActOn",
        "page:reference/python/cirq/SupportsActOnQubits",
        "page:reference/python/cirq/SupportsApplyChannel",
        "page:reference/python/cirq/SupportsApplyMixture",
        "page:reference/python/cirq/SupportsApproximateEquality",
        "page:reference/python/cirq/SupportsCircuitDiagramInfo",
        "page:reference/python/cirq/SupportsCommutes",
        "page:reference/python/cirq/SupportsConsistentApplyUnitary",
        "page:reference/python/cirq/SupportsControlKey",
        "page:reference/python/cirq/SupportsDecompose",
        "page:reference/python/cirq/SupportsDecomposeWithQubits",
        "page:reference/python/cirq/SupportsEqualUpToGlobalPhase",
        "page:reference/python/cirq/SupportsExplicitHasUnitary",
        "page:reference/python/cirq/SupportsExplicitNumQubits",
        "page:reference/python/cirq/SupportsExplicitQidShape",
        "page:reference/python/cirq/SupportsJSON",
        "page:reference/python/cirq/SupportsKraus",
        "page:reference/python/cirq/SupportsMeasurementKey",
        "page:reference/python/cirq/SupportsMixture",
        "page:reference/python/cirq/SupportsParameterization",
        "page:reference/python/cirq/SupportsPauliExpansion",
        "page:reference/python/cirq/SupportsPhase",
        "page:reference/python/cirq/SupportsQasm",
        "page:reference/python/cirq/SupportsQasmWithArgs",
        "page:reference/python/cirq/SupportsQasmWithArgsAndQubits",
        "page:reference/python/cirq/SupportsTraceDistanceBound",
        "page:reference/python/cirq/SupportsUnitary",
        "page:reference/python/cirq/Sweep",
        "page:reference/python/cirq/Sweepable",
        "page:reference/python/cirq/SympyCondition",
        "page:reference/python/cirq/TRANSFORMER",
        "page:reference/python/cirq/TaggedOperation",
        "page:reference/python/cirq/TensoredConfusionMatrices",
        "page:reference/python/cirq/TextDiagramDrawer",
        "page:reference/python/cirq/ThreeQubitDiagonalGate",
        "page:reference/python/cirq/TiltedSquareLattice",
        "page:reference/python/cirq/Timestamp",
        "page:reference/python/cirq/TransformerContext",
        "page:reference/python/cirq/TransformerLogger",
        "page:reference/python/cirq/TwoQubitCompilationTargetGateset",
        "page:reference/python/cirq/TwoQubitDiagonalGate",
        "page:reference/python/cirq/TwoQubitGateTabulation",
        "page:reference/python/cirq/TwoQubitGateTabulationResult",
        "page:reference/python/cirq/TwoQubitInteractionHeatmap",
        "page:reference/python/cirq/TwoQubitNumericalCompilationResult",
        "page:reference/python/cirq/TwoQubitNumericalCompiler",
        "page:reference/python/cirq/UniformSuperpositionGate",
        "page:reference/python/cirq/VariableGridQid",
        "page:reference/python/cirq/VariableLineQid",
        "page:reference/python/cirq/VariableQid",
        "page:reference/python/cirq/VirtualTag",
        "page:reference/python/cirq/WaitGate",
        "page:reference/python/cirq/While",
        "page:reference/python/cirq/XX",
        "page:reference/python/cirq/XXPowGate",
        "page:reference/python/cirq/YY",
        "page:reference/python/cirq/YYPowGate",
        "page:reference/python/cirq/ZerosSampler",
        "page:reference/python/cirq/Zip",
        "page:reference/python/cirq/ZipLongest",
        "page:reference/python/cirq/act_on",
        "page:reference/python/cirq/add_dynamical_decoupling",
        "page:reference/python/cirq/align_left",
        "page:reference/python/cirq/align_right",
        "page:reference/python/cirq/all_near_zero",
        "page:reference/python/cirq/all_near_zero_mod",
        "page:reference/python/cirq/all_symbols",
        "page:reference/python/cirq/allclose_up_to_global_phase",
        "page:reference/python/cirq/alternative",
        "page:reference/python/cirq/apply_channel",
        "page:reference/python/cirq/apply_matrix_to_slices",
        "page:reference/python/cirq/apply_mixture",
        "page:reference/python/cirq/apply_unitaries",
        "page:reference/python/cirq/apply_unitary",
        "page:reference/python/cirq/approx_eq",
        "page:reference/python/cirq/axis_angle",
        "page:reference/python/cirq/bidiagonalize_real_matrix_pair_with_symmetric_products",
        "page:reference/python/cirq/bidiagonalize_unitary_with_special_orthogonals",
        "page:reference/python/cirq/big_endian_bits_to_int",
        "page:reference/python/cirq/big_endian_digits_to_int",
        "page:reference/python/cirq/big_endian_int_to_bits",
        "page:reference/python/cirq/big_endian_int_to_digits",
        "page:reference/python/cirq/bloch_vector_from_state_vector",
        "page:reference/python/cirq/block_diag",
        "page:reference/python/cirq/canonicalize_half_turns",
        "page:reference/python/cirq/choi_to_kraus",
        "page:reference/python/cirq/choi_to_superoperator",
        "page:reference/python/cirq/chosen_angle_to_canonical_half_turns",
        "page:reference/python/cirq/chosen_angle_to_half_turns",
        "page:reference/python/cirq/circuit_diagram_info",
        "page:reference/python/cirq/cirq_type_from_json",
        "page:reference/python/cirq/commutes",
        "page:reference/python/cirq/compute_cphase_exponents_for_fsim_decomposition",
        "page:reference/python/cirq/contrib",
        "page:reference/python/cirq/contrib/CircuitDag",
        "page:reference/python/cirq/contrib/Unique",
        "page:reference/python/cirq/contrib/acquaintance",
        "page:reference/python/cirq/contrib/acquaintance/AcquaintanceOperation",
        "page:reference/python/cirq/contrib/acquaintance/AcquaintanceOpportunityGate",
        "page:reference/python/cirq/contrib/acquaintance/BipartiteGraphType",
        "page:reference/python/cirq/contrib/acquaintance/BipartiteSwapNetworkGate",
        "page:reference/python/cirq/contrib/acquaintance/CircularShiftGate",
        "page:reference/python/cirq/contrib/acquaintance/DECOMPOSE_PERMUTATION_GATES",
        "page:reference/python/cirq/contrib/acquaintance/EXPAND_PERMUTATION_GATES",
        "page:reference/python/cirq/contrib/acquaintance/GreedyExecutionStrategy",
        "page:reference/python/cirq/contrib/acquaintance/LinearPermutationGate",
        "page:reference/python/cirq/contrib/acquaintance/PermutationGate",
        "page:reference/python/cirq/contrib/acquaintance/ShiftSwapNetworkGate",
        "page:reference/python/cirq/contrib/acquaintance/StrategyExecutorTransformer",
        "page:reference/python/cirq/contrib/acquaintance/SwapNetworkGate",
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        "page:reference/python/cirq/contrib/acquaintance/devices",
        "page:reference/python/cirq/contrib/acquaintance/devices/AcquaintanceDevice",
        "page:reference/python/cirq/contrib/acquaintance/display_mapping",
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        "page:reference/python/cirq/contrib/acquaintance/executor/ExecutionStrategy",
        "page:reference/python/cirq/contrib/acquaintance/executor/LogicalGates",
        "page:reference/python/cirq/contrib/acquaintance/executor/LogicalMapping",
        "page:reference/python/cirq/contrib/acquaintance/expose_acquaintance_gates",
        "page:reference/python/cirq/contrib/acquaintance/gates",
        "page:reference/python/cirq/contrib/acquaintance/gates/Layers",
        "page:reference/python/cirq/contrib/acquaintance/gates/acquaint_and_shift",
        "page:reference/python/cirq/contrib/acquaintance/gates/acquaint_insides",
        "page:reference/python/cirq/contrib/acquaintance/gates/new_layers",
        "page:reference/python/cirq/contrib/acquaintance/gates/operations_to_part_lens",
        "page:reference/python/cirq/contrib/acquaintance/get_acquaintance_size",
        "page:reference/python/cirq/contrib/acquaintance/get_logical_acquaintance_opportunities",
        "page:reference/python/cirq/contrib/acquaintance/get_logical_operations",
        "page:reference/python/cirq/contrib/acquaintance/inspection_utils",
        "page:reference/python/cirq/contrib/acquaintance/inspection_utils/LogicalAnnotator",
        "page:reference/python/cirq/contrib/acquaintance/inspection_utils/get_acquaintance_dag",
        "page:reference/python/cirq/contrib/acquaintance/is_topologically_sorted",
        "page:reference/python/cirq/contrib/acquaintance/mutation_utils",
        "page:reference/python/cirq/contrib/acquaintance/mutation_utils/ExposeAcquaintanceGates",
        "page:reference/python/cirq/contrib/acquaintance/optimizers",
        "page:reference/python/cirq/contrib/acquaintance/permutation",
        "page:reference/python/cirq/contrib/acquaintance/permutation/DecomposePermutationGates",
        "page:reference/python/cirq/contrib/acquaintance/permutation/MappingDisplayGate",
        "page:reference/python/cirq/contrib/acquaintance/quartic_paired_acquaintance_strategy",
        "page:reference/python/cirq/contrib/acquaintance/random_topological_sort",
        "page:reference/python/cirq/contrib/acquaintance/rectify_acquaintance_strategy",
        "page:reference/python/cirq/contrib/acquaintance/remove_redundant_acquaintance_opportunities",
        "page:reference/python/cirq/contrib/acquaintance/replace_acquaintance_with_swap_network",
        "page:reference/python/cirq/contrib/acquaintance/return_to_initial_mapping",
        "page:reference/python/cirq/contrib/acquaintance/shift",
        "page:reference/python/cirq/contrib/acquaintance/shift_swap_network",
        "page:reference/python/cirq/contrib/acquaintance/strategies",
        "page:reference/python/cirq/contrib/acquaintance/strategies/complete",
        "page:reference/python/cirq/contrib/acquaintance/strategies/cubic",
        "page:reference/python/cirq/contrib/acquaintance/strategies/cubic/skip_and_wrap_around",
        "page:reference/python/cirq/contrib/acquaintance/strategies/quartic_paired",
        "page:reference/python/cirq/contrib/acquaintance/strategies/quartic_paired/qubit_pairs_to_qubit_order",
        "page:reference/python/cirq/contrib/acquaintance/testing",
        "page:reference/python/cirq/contrib/acquaintance/testing/assert_permutation_decomposition_equivalence",
        "page:reference/python/cirq/contrib/acquaintance/topological_sort",
        "page:reference/python/cirq/contrib/acquaintance/update_mapping",
        "page:reference/python/cirq/contrib/acquaintance/uses_consistent_swap_gate",
        "page:reference/python/cirq/contrib/circuit_to_latex_using_qcircuit",
        "page:reference/python/cirq/contrib/circuitdag",
        "page:reference/python/cirq/contrib/circuitdag/circuit_dag",
        "page:reference/python/cirq/contrib/graph_device",
        "page:reference/python/cirq/contrib/graph_device/FixedDurationUndirectedGraphDeviceEdge",
        "page:reference/python/cirq/contrib/graph_device/UndirectedGraphDevice",
        "page:reference/python/cirq/contrib/graph_device/UndirectedHypergraph",
        "page:reference/python/cirq/contrib/graph_device/graph_device",
        "page:reference/python/cirq/contrib/graph_device/graph_device/UndirectedGraphDeviceEdge",
        "page:reference/python/cirq/contrib/graph_device/graph_device/raise_crosstalk_error",
        "page:reference/python/cirq/contrib/graph_device/hypergraph",
        "page:reference/python/cirq/contrib/graph_device/hypergraph/AdjacencyList",
        "page:reference/python/cirq/contrib/graph_device/is_crosstalk_graph",
        "page:reference/python/cirq/contrib/graph_device/is_undirected_device_graph",
        "page:reference/python/cirq/contrib/graph_device/uniform_graph_device",
        "page:reference/python/cirq/contrib/graph_device/uniform_undirected_graph_device",
        "page:reference/python/cirq/contrib/graph_device/uniform_undirected_linear_device",
        "page:reference/python/cirq/contrib/json",
        "page:reference/python/cirq/contrib/json/contrib_class_resolver",
        "page:reference/python/cirq/contrib/qcircuit",
        "page:reference/python/cirq/contrib/qcircuit/escape_text_for_latex",
        "page:reference/python/cirq/contrib/qcircuit/get_multigate_parameters",
        "page:reference/python/cirq/contrib/qcircuit/get_qcircuit_diagram_info",
        "page:reference/python/cirq/contrib/qcircuit/qcircuit_diagram",
        "page:reference/python/cirq/contrib/qcircuit/qcircuit_diagram/qcircuit_qubit_namer",
        "page:reference/python/cirq/contrib/qcircuit/qcircuit_diagram_info",
        "page:reference/python/cirq/contrib/qcircuit/qcircuit_diagram_info/convert_text_diagram_info_to_qcircuit_diagram_info",
        "page:reference/python/cirq/contrib/qcircuit/qcircuit_diagram_info/fallback_qcircuit_diagram_info",
        "page:reference/python/cirq/contrib/qcircuit/qcircuit_diagram_info/hardcoded_qcircuit_diagram_info",
        "page:reference/python/cirq/contrib/qcircuit/qcircuit_diagram_info/multigate_qcircuit_diagram_info",
        "page:reference/python/cirq/contrib/quirk",
        "page:reference/python/cirq/contrib/quirk/circuit_to_quirk_url",
        "page:reference/python/cirq/contrib/quirk/export_to_quirk",
        "page:reference/python/cirq/contrib/quirk/linearize_circuit",
        "page:reference/python/cirq/contrib/quirk/linearize_circuit/QubitMapper",
        "page:reference/python/cirq/contrib/quirk/linearize_circuit/linearize_circuit_qubits",
        "page:reference/python/cirq/contrib/quirk/quirk_gate",
        "page:reference/python/cirq/contrib/quirk/quirk_gate/QuirkOp",
        "page:reference/python/cirq/contrib/quirk/quirk_gate/angle_to_exponent_key",
        "page:reference/python/cirq/contrib/quirk/quirk_gate/ccx_to_quirk_op",
        "page:reference/python/cirq/contrib/quirk/quirk_gate/ccz_to_quirk_op",
        "page:reference/python/cirq/contrib/quirk/quirk_gate/cnot_to_quirk_op",
        "page:reference/python/cirq/contrib/quirk/quirk_gate/controlled_unwrap",
        "page:reference/python/cirq/contrib/quirk/quirk_gate/cswap_to_quirk_op",
        "page:reference/python/cirq/contrib/quirk/quirk_gate/cz_to_quirk_op",
        "page:reference/python/cirq/contrib/quirk/quirk_gate/h_to_quirk_op",
        "page:reference/python/cirq/contrib/quirk/quirk_gate/known_quirk_op_for_operation",
        "page:reference/python/cirq/contrib/quirk/quirk_gate/same_half_turns",
        "page:reference/python/cirq/contrib/quirk/quirk_gate/single_qubit_matrix_gate",
        "page:reference/python/cirq/contrib/quirk/quirk_gate/swap_to_quirk_op",
        "page:reference/python/cirq/contrib/quirk/quirk_gate/x_to_quirk_op",
        "page:reference/python/cirq/contrib/quirk/quirk_gate/xyz_to_quirk_op",
        "page:reference/python/cirq/contrib/quirk/quirk_gate/y_to_quirk_op",
        "page:reference/python/cirq/contrib/quirk/quirk_gate/z_to_quirk_op",
        "page:reference/python/cirq/control_keys",
        "page:reference/python/cirq/cphase",
        "page:reference/python/cirq/create_transformer_with_kwargs",
        "page:reference/python/cirq/dataclass_json_dict",
        "page:reference/python/cirq/decompose",
        "page:reference/python/cirq/decompose_clifford_tableau_to_operations",
        "page:reference/python/cirq/decompose_cphase_into_two_fsim",
        "page:reference/python/cirq/decompose_multi_controlled_rotation",
        "page:reference/python/cirq/decompose_multi_controlled_x",
        "page:reference/python/cirq/decompose_once",
        "page:reference/python/cirq/decompose_once_with_qubits",
        "page:reference/python/cirq/decompose_two_qubit_interaction_into_four_fsim_gates",
        "page:reference/python/cirq/deconstruct_single_qubit_matrix_into_angles",
        "page:reference/python/cirq/defer_measurements",
        "page:reference/python/cirq/definitely_commutes",
        "page:reference/python/cirq/density_matrix",
        "page:reference/python/cirq/density_matrix_from_state_vector",
        "page:reference/python/cirq/density_matrix_kronecker_product",
        "page:reference/python/cirq/dephase_measurements",
        "page:reference/python/cirq/diagonalize_real_symmetric_and_sorted_diagonal_matrices",
        "page:reference/python/cirq/diagonalize_real_symmetric_matrix",
        "page:reference/python/cirq/dict_to_product_sweep",
        "page:reference/python/cirq/dict_to_zip_sweep",
        "page:reference/python/cirq/dirac_notation",
        "page:reference/python/cirq/dot",
        "page:reference/python/cirq/draw_gridlike",
        "page:reference/python/cirq/draw_placements",
        "page:reference/python/cirq/drop_diagonal_before_measurement",
        "page:reference/python/cirq/drop_empty_moments",
        "page:reference/python/cirq/drop_negligible_operations",
        "page:reference/python/cirq/drop_terminal_measurements",
        "page:reference/python/cirq/eject_phased_paulis",
        "page:reference/python/cirq/eject_z",
        "page:reference/python/cirq/entanglement_fidelity",
        "page:reference/python/cirq/equal_up_to_global_phase",
        "page:reference/python/cirq/estimate_parallel_single_qubit_readout_errors",
        "page:reference/python/cirq/estimate_single_qubit_readout_errors",
        "page:reference/python/cirq/expand_composite",
        "page:reference/python/cirq/expand_matrix_in_orthogonal_basis",
        "page:reference/python/cirq/eye_tensor",
        "page:reference/python/cirq/fidelity",
        "page:reference/python/cirq/final_density_matrix",
        "page:reference/python/cirq/final_state_vector",
        "page:reference/python/cirq/flatten",
        "page:reference/python/cirq/flatten_op_tree",
        "page:reference/python/cirq/flatten_to_ops",
        "page:reference/python/cirq/flatten_to_ops_or_moments",
        "page:reference/python/cirq/flatten_with_params",
        "page:reference/python/cirq/flatten_with_sweep",
        "page:reference/python/cirq/freeze_op_tree",
        "page:reference/python/cirq/get_placements",
        "page:reference/python/cirq/get_state_histogram",
        "page:reference/python/cirq/givens",
        "page:reference/python/cirq/global_phase_operation",
        "page:reference/python/cirq/has_kraus",
        "page:reference/python/cirq/has_mixture",
        "page:reference/python/cirq/has_stabilizer_effect",
        "page:reference/python/cirq/has_unitary",
        "page:reference/python/cirq/hilbert_schmidt_inner_product",
        "page:reference/python/cirq/hog_score_xeb_fidelity_from_probabilities",
        "page:reference/python/cirq/identity_each",
        "page:reference/python/cirq/index_tags",
        "page:reference/python/cirq/integrated_histogram",
        "page:reference/python/cirq/is_cptp",
        "page:reference/python/cirq/is_diagonal",
        "page:reference/python/cirq/is_hermitian",
        "page:reference/python/cirq/is_measurement",
        "page:reference/python/cirq/is_native_neutral_atom_gate",
        "page:reference/python/cirq/is_native_neutral_atom_op",
        "page:reference/python/cirq/is_negligible_turn",
        "page:reference/python/cirq/is_normal",
        "page:reference/python/cirq/is_orthogonal",
        "page:reference/python/cirq/is_parameterized",
        "page:reference/python/cirq/is_special_orthogonal",
        "page:reference/python/cirq/is_special_unitary",
        "page:reference/python/cirq/is_unitary",
        "page:reference/python/cirq/is_valid_placement",
        "page:reference/python/cirq/json_cirq_type",
        "page:reference/python/cirq/json_namespace",
        "page:reference/python/cirq/kak_canonicalize_vector",
        "page:reference/python/cirq/kak_decomposition",
        "page:reference/python/cirq/kak_vector",
        "page:reference/python/cirq/kraus_to_choi",
        "page:reference/python/cirq/kraus_to_superoperator",
        "page:reference/python/cirq/kron",
        "page:reference/python/cirq/kron_bases",
        "page:reference/python/cirq/kron_factor_4x4_to_2x2s",
        "page:reference/python/cirq/kron_with_controls",
        "page:reference/python/cirq/linear_xeb_fidelity",
        "page:reference/python/cirq/linear_xeb_fidelity_from_probabilities",
        "page:reference/python/cirq/list_of_dicts_to_zip",
        "page:reference/python/cirq/log_xeb_fidelity",
        "page:reference/python/cirq/log_xeb_fidelity_from_probabilities",
        "page:reference/python/cirq/map_clean_and_borrowable_qubits",
        "page:reference/python/cirq/map_eigenvalues",
        "page:reference/python/cirq/map_moments",
        "page:reference/python/cirq/map_operations",
        "page:reference/python/cirq/map_operations_and_unroll",
        "page:reference/python/cirq/match_global_phase",
        "page:reference/python/cirq/matrix_commutes",
        "page:reference/python/cirq/matrix_from_basis_coefficients",
        "page:reference/python/cirq/measure_confusion_matrix",
        "page:reference/python/cirq/measure_density_matrix",
        "page:reference/python/cirq/measure_each",
        "page:reference/python/cirq/measure_paulistring_terms",
        "page:reference/python/cirq/measure_single_paulistring",
        "page:reference/python/cirq/measure_state_vector",
        "page:reference/python/cirq/measurement_key_name",
        "page:reference/python/cirq/measurement_key_names",
        "page:reference/python/cirq/measurement_key_obj",
        "page:reference/python/cirq/measurement_key_objs",
        "page:reference/python/cirq/measurement_keys_touched",
        "page:reference/python/cirq/merge_k_qubit_unitaries",
        "page:reference/python/cirq/merge_k_qubit_unitaries_to_circuit_op",
        "page:reference/python/cirq/merge_moments",
        "page:reference/python/cirq/merge_moments_batch",
        "page:reference/python/cirq/merge_operations",
        "page:reference/python/cirq/merge_operations_to_circuit_op",
        "page:reference/python/cirq/merge_single_qubit_gates_to_phased_x_and_z",
        "page:reference/python/cirq/merge_single_qubit_gates_to_phxz",
        "page:reference/python/cirq/merge_single_qubit_gates_to_phxz_symbolized",
        "page:reference/python/cirq/merge_single_qubit_moments_to_phxz",
        "page:reference/python/cirq/mixture",
        "page:reference/python/cirq/ms",
        "page:reference/python/cirq/mul",
        "page:reference/python/cirq/num_cnots_required",
        "page:reference/python/cirq/num_qubits",
        "page:reference/python/cirq/obj_to_dict_helper",
        "page:reference/python/cirq/one_hot",
        "page:reference/python/cirq/operation_to_choi",
        "page:reference/python/cirq/operation_to_superoperator",
        "page:reference/python/cirq/optimize_for_target_gateset",
        "page:reference/python/cirq/parallel_gate_op",
        "page:reference/python/cirq/parameter_names",
        "page:reference/python/cirq/parameter_symbols",
        "page:reference/python/cirq/parameterized_2q_op_to_sqrt_iswap_operations",
        "page:reference/python/cirq/partial_trace",
        "page:reference/python/cirq/partial_trace_of_state_vector_as_mixture",
        "page:reference/python/cirq/pauli_expansion",
        "page:reference/python/cirq/phase_by",
        "page:reference/python/cirq/plot_density_matrix",
        "page:reference/python/cirq/plot_state_histogram",
        "page:reference/python/cirq/pow",
        "page:reference/python/cirq/pow_pauli_combination",
        "page:reference/python/cirq/prepare_two_qubit_state_using_cz",
        "page:reference/python/cirq/prepare_two_qubit_state_using_iswap",
        "page:reference/python/cirq/prepare_two_qubit_state_using_sqrt_iswap",
        "page:reference/python/cirq/q",
        "page:reference/python/cirq/qasm",
        "page:reference/python/cirq/qid_shape",
        "page:reference/python/cirq/quantum_shannon_decomposition",
        "page:reference/python/cirq/quantum_state",
        "page:reference/python/cirq/quirk_json_to_circuit",
        "page:reference/python/cirq/quirk_url_to_circuit",
        "page:reference/python/cirq/read_json",
        "page:reference/python/cirq/read_json_gzip",
        "page:reference/python/cirq/reflection_matrix_pow",
        "page:reference/python/cirq/remove_tags",
        "page:reference/python/cirq/reset_each",
        "page:reference/python/cirq/resolve_parameters",
        "page:reference/python/cirq/resolve_parameters_once",
        "page:reference/python/cirq/riswap",
        "page:reference/python/cirq/routed_circuit_with_mapping",
        "page:reference/python/cirq/rx",
        "page:reference/python/cirq/ry",
        "page:reference/python/cirq/rz",
        "page:reference/python/cirq/sample",
        "page:reference/python/cirq/sample_density_matrix",
        "page:reference/python/cirq/sample_state_vector",
        "page:reference/python/cirq/sample_sweep",
        "page:reference/python/cirq/scatter_plot_normalized_kak_interaction_coefficients",
        "page:reference/python/cirq/single_qubit_matrix_to_gates",
        "page:reference/python/cirq/single_qubit_matrix_to_pauli_rotations",
        "page:reference/python/cirq/single_qubit_matrix_to_phased_x_z",
        "page:reference/python/cirq/single_qubit_matrix_to_phxz",
        "page:reference/python/cirq/single_qubit_op_to_framed_phase_form",
        "page:reference/python/cirq/slice_for_qubits_equal_to",
        "page:reference/python/cirq/so4_to_magic_su2s",
        "page:reference/python/cirq/state_vector_kronecker_product",
        "page:reference/python/cirq/state_vector_to_probabilities",
        "page:reference/python/cirq/stratified_circuit",
        "page:reference/python/cirq/sub_state_vector",
        "page:reference/python/cirq/superoperator_to_choi",
        "page:reference/python/cirq/superoperator_to_kraus",
        "page:reference/python/cirq/symbol",
        "page:reference/python/cirq/symbolize_single_qubit_gates_by_indexed_tags",
        "page:reference/python/cirq/synchronize_terminal_measurements",
        "page:reference/python/cirq/targeted_conjugate_about",
        "page:reference/python/cirq/targeted_left_multiply",
        "page:reference/python/cirq/testing",
        "page:reference/python/cirq/testing/DoesNotSupportSerializationGate",
        "page:reference/python/cirq/testing/EqualsTester",
        "page:reference/python/cirq/testing/FakePrinter",
        "page:reference/python/cirq/testing/NoIdentifierQubit",
        "page:reference/python/cirq/testing/OrderTester",
        "page:reference/python/cirq/testing/PhaseUsingCleanAncilla",
        "page:reference/python/cirq/testing/PhaseUsingDirtyAncilla",
        "page:reference/python/cirq/testing/RoutingTestingDevice",
        "page:reference/python/cirq/testing/SingleQubitGate",
        "page:reference/python/cirq/testing/ThreeQubitGate",
        "page:reference/python/cirq/testing/TwoQubitGate",
        "page:reference/python/cirq/testing/ValidatingTestDevice",
        "page:reference/python/cirq/testing/assert_all_implemented_act_on_effects_match_unitary",
        "page:reference/python/cirq/testing/assert_allclose_up_to_global_phase",
        "page:reference/python/cirq/testing/assert_circuits_have_same_unitary_given_final_permutation",
        "page:reference/python/cirq/testing/assert_circuits_with_terminal_measurements_are_equivalent",
        "page:reference/python/cirq/testing/assert_commutes_magic_method_consistent_with_unitaries",
        "page:reference/python/cirq/testing/assert_consistent_channel",
        "page:reference/python/cirq/testing/assert_consistent_mixture",
        "page:reference/python/cirq/testing/assert_consistent_resolve_parameters",
        "page:reference/python/cirq/testing/assert_controlled_and_controlled_by_identical",
        "page:reference/python/cirq/testing/assert_controlled_unitary_consistent",
        "page:reference/python/cirq/testing/assert_decompose_ends_at_default_gateset",
        "page:reference/python/cirq/testing/assert_decompose_is_consistent_with_unitary",
        "page:reference/python/cirq/testing/assert_deprecated",
        "page:reference/python/cirq/testing/assert_eigengate_implements_consistent_protocols",
        "page:reference/python/cirq/testing/assert_equivalent_computational_basis_map",
        "page:reference/python/cirq/testing/assert_equivalent_op_tree",
        "page:reference/python/cirq/testing/assert_equivalent_repr",
        "page:reference/python/cirq/testing/assert_has_consistent_apply_channel",
        "page:reference/python/cirq/testing/assert_has_consistent_apply_unitary",
        "page:reference/python/cirq/testing/assert_has_consistent_apply_unitary_for_various_exponents",
        "page:reference/python/cirq/testing/assert_has_consistent_qid_shape",
        "page:reference/python/cirq/testing/assert_has_consistent_trace_distance_bound",
        "page:reference/python/cirq/testing/assert_has_diagram",
        "page:reference/python/cirq/testing/assert_implements_consistent_protocols",
        "page:reference/python/cirq/testing/assert_json_roundtrip_works",
        "page:reference/python/cirq/testing/assert_logs",
        "page:reference/python/cirq/testing/assert_pauli_expansion_is_consistent_with_unitary",
        "page:reference/python/cirq/testing/assert_phase_by_is_consistent_with_unitary",
        "page:reference/python/cirq/testing/assert_qasm_is_consistent_with_unitary",
        "page:reference/python/cirq/testing/assert_repr_pretty",
        "page:reference/python/cirq/testing/assert_repr_pretty_contains",
        "page:reference/python/cirq/testing/assert_same_circuits",
        "page:reference/python/cirq/testing/assert_specifies_has_unitary_if_unitary",
        "page:reference/python/cirq/testing/assert_unitary_is_consistent",
        "page:reference/python/cirq/testing/circuit_compare",
        "page:reference/python/cirq/testing/consistent_act_on",
        "page:reference/python/cirq/testing/consistent_act_on/state_vector_has_stabilizer",
        "page:reference/python/cirq/testing/consistent_channels",
        "page:reference/python/cirq/testing/consistent_controlled_gate_op",
        "page:reference/python/cirq/testing/consistent_decomposition",
        "page:reference/python/cirq/testing/consistent_pauli_expansion",
        "page:reference/python/cirq/testing/consistent_phase_by",
        "page:reference/python/cirq/testing/consistent_protocols",
        "page:reference/python/cirq/testing/consistent_protocols/assert_eigen_shifts_is_consistent_with_eigen_components",
        "page:reference/python/cirq/testing/consistent_qasm",
        "page:reference/python/cirq/testing/consistent_qasm/assert_qiskit_parsed_qasm_consistent_with_unitary",
        "page:reference/python/cirq/testing/consistent_resolve_parameters",
        "page:reference/python/cirq/testing/consistent_specified_has_unitary",
        "page:reference/python/cirq/testing/consistent_unitary",
        "page:reference/python/cirq/testing/construct_grid_device",
        "page:reference/python/cirq/testing/construct_ring_device",
        "page:reference/python/cirq/testing/deprecation",
        "page:reference/python/cirq/testing/devices",
        "page:reference/python/cirq/testing/equals_tester",
        "page:reference/python/cirq/testing/equivalent_basis_map",
        "page:reference/python/cirq/testing/equivalent_repr_eval",
        "page:reference/python/cirq/testing/gate_features",
        "page:reference/python/cirq/testing/highlight_text_differences",
        "page:reference/python/cirq/testing/json",
        "page:reference/python/cirq/testing/json/ModuleJsonTestSpec",
        "page:reference/python/cirq/testing/json/spec_for",
        "page:reference/python/cirq/testing/lin_alg_utils",
        "page:reference/python/cirq/testing/logs",
        "page:reference/python/cirq/testing/no_identifier_qubit",
        "page:reference/python/cirq/testing/nonoptimal_toffoli_circuit",
        "page:reference/python/cirq/testing/op_tree",
        "page:reference/python/cirq/testing/order_tester",
        "page:reference/python/cirq/testing/pytest_utils",
        "page:reference/python/cirq/testing/random_circuit",
        "page:reference/python/cirq/testing/random_density_matrix",
        "page:reference/python/cirq/testing/random_orthogonal",
        "page:reference/python/cirq/testing/random_special_orthogonal",
        "page:reference/python/cirq/testing/random_special_unitary",
        "page:reference/python/cirq/testing/random_superposition",
        "page:reference/python/cirq/testing/random_two_qubit_circuit_with_czs",
        "page:reference/python/cirq/testing/random_unitary",
        "page:reference/python/cirq/testing/repr_pretty_tester",
        "page:reference/python/cirq/testing/retry_once_after_timeout",
        "page:reference/python/cirq/testing/retry_once_with_later_random_values",
        "page:reference/python/cirq/testing/routing_devices",
        "page:reference/python/cirq/testing/sample_circuits",
        "page:reference/python/cirq/testing/sample_gates",
        "page:reference/python/cirq/three_qubit_matrix_to_operations",
        "page:reference/python/cirq/to_json",
        "page:reference/python/cirq/to_json_gzip",
        "page:reference/python/cirq/to_resolvers",
        "page:reference/python/cirq/to_special",
        "page:reference/python/cirq/to_sweep",
        "page:reference/python/cirq/to_sweeps",
        "page:reference/python/cirq/to_valid_density_matrix",
        "page:reference/python/cirq/to_valid_state_vector",
        "page:reference/python/cirq/toggle_tags",
        "page:reference/python/cirq/trace_distance_bound",
        "page:reference/python/cirq/trace_distance_from_angle_list",
        "page:reference/python/cirq/transform_op_tree",
        "page:reference/python/cirq/transformer",
        "page:reference/python/cirq/two_qubit_gate_numerical_compilation",
        "page:reference/python/cirq/two_qubit_gate_product_tabulation",
        "page:reference/python/cirq/two_qubit_matrix_to_cz_isometry",
        "page:reference/python/cirq/two_qubit_matrix_to_cz_operations",
        "page:reference/python/cirq/two_qubit_matrix_to_diagonal_and_cz_operations",
        "page:reference/python/cirq/two_qubit_matrix_to_ion_operations",
        "page:reference/python/cirq/two_qubit_matrix_to_sqrt_iswap_operations",
        "page:reference/python/cirq/unitary_eig",
        "page:reference/python/cirq/unroll_circuit_op",
        "page:reference/python/cirq/unroll_circuit_op_greedy_earliest",
        "page:reference/python/cirq/unroll_circuit_op_greedy_frontier",
        "page:reference/python/cirq/validate_density_matrix",
        "page:reference/python/cirq/validate_indices",
        "page:reference/python/cirq/validate_mixture",
        "page:reference/python/cirq/validate_normalized_state_vector",
        "page:reference/python/cirq/validate_probability",
        "page:reference/python/cirq/validate_qid_shape",
        "page:reference/python/cirq/value_equality",
        "page:reference/python/cirq/von_neumann_entropy",
        "page:reference/python/cirq/wait",
        "page:reference/python/cirq/with_debug",
        "page:reference/python/cirq/with_key_path",
        "page:reference/python/cirq/with_key_path_prefix",
        "page:reference/python/cirq/with_measurement_key_mapping",
        "page:reference/python/cirq/with_rescoped_keys",
        "page:reference/python/cirq/xeb_fidelity",
        "page:reference/python/cirq_aqt",
        "page:reference/python/cirq_google",
        "page:reference/python/cirq_google/all_symbols",
        "page:reference/python/cirq_google/api",
        "page:reference/python/cirq_google/api/v2",
        "page:reference/python/cirq_google/api/v2/MeasureInfo",
        "page:reference/python/cirq_google/api/v2/device_pb2",
        "page:reference/python/cirq_google/api/v2/device_pb2/ArgDefinition",
        "page:reference/python/cirq_google/api/v2/device_pb2/ArgumentRange",
        "page:reference/python/cirq_google/api/v2/device_pb2/DeviceSpecification",
        "page:reference/python/cirq_google/api/v2/device_pb2/DeviceSpecification/QubitAttributesEntry",
        "page:reference/python/cirq_google/api/v2/device_pb2/GateDefinition",
        "page:reference/python/cirq_google/api/v2/device_pb2/GateSet",
        "page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification",
        "page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/AnalogDetuneCouplerOnly",
        "page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/AnalogDetuneQubit",
        "page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/CZ",
        "page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/CZPowGate",
        "page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/CouplerPulse",
        "page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/FSimViaModel",
        "page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/InternalGate",
        "page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/Measurement",
        "page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/PhasedXZ",
        "page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/PhysicalZPow",
        "page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/Reset",
        "page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/SqrtISwap",
        "page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/SqrtISwapInv",
        "page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/Sycamore",
        "page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/TwoPulseFSim",
        "page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/VirtualZPow",
        "page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/Wait",
        "page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/WaitGateWithUnit",
        "page:reference/python/cirq_google/api/v2/device_pb2/QubitAttributeValue",
        "page:reference/python/cirq_google/api/v2/device_pb2/QubitAttributes",
        "page:reference/python/cirq_google/api/v2/device_pb2/QubitAttributes/AttributesEntry",
        "page:reference/python/cirq_google/api/v2/device_pb2/Target",
        "page:reference/python/cirq_google/api/v2/device_pb2/TargetSet",
        "page:reference/python/cirq_google/api/v2/find_measurements",
        "page:reference/python/cirq_google/api/v2/grid_qubit_from_proto_id",
        "page:reference/python/cirq_google/api/v2/line_qubit_from_proto_id",
        "page:reference/python/cirq_google/api/v2/metrics_pb2",
        "page:reference/python/cirq_google/api/v2/metrics_pb2/Metric",
        "page:reference/python/cirq_google/api/v2/metrics_pb2/MetricsSnapshot",
        "page:reference/python/cirq_google/api/v2/metrics_pb2/Value",
        "page:reference/python/cirq_google/api/v2/named_qubit_from_proto_id",
        "page:reference/python/cirq_google/api/v2/ndarrays",
        "page:reference/python/cirq_google/api/v2/ndarrays/TUIntMsg",
        "page:reference/python/cirq_google/api/v2/ndarrays/from_bitarray",
        "page:reference/python/cirq_google/api/v2/ndarrays/from_complex128_array",
        "page:reference/python/cirq_google/api/v2/ndarrays/from_complex64_array",
        "page:reference/python/cirq_google/api/v2/ndarrays/from_float16_array",
        "page:reference/python/cirq_google/api/v2/ndarrays/from_float32_array",
        "page:reference/python/cirq_google/api/v2/ndarrays/from_float64_array",
        "page:reference/python/cirq_google/api/v2/ndarrays/from_int16_array",
        "page:reference/python/cirq_google/api/v2/ndarrays/from_int32_array",
        "page:reference/python/cirq_google/api/v2/ndarrays/from_int64_array",
        "page:reference/python/cirq_google/api/v2/ndarrays/from_int8_array",
        "page:reference/python/cirq_google/api/v2/ndarrays/from_uint8_array",
        "page:reference/python/cirq_google/api/v2/ndarrays/to_bitarray",
        "page:reference/python/cirq_google/api/v2/ndarrays/to_complex128_array",
        "page:reference/python/cirq_google/api/v2/ndarrays/to_complex64_array",
        "page:reference/python/cirq_google/api/v2/ndarrays/to_float16_array",
        "page:reference/python/cirq_google/api/v2/ndarrays/to_float32_array",
        "page:reference/python/cirq_google/api/v2/ndarrays/to_float64_array",
        "page:reference/python/cirq_google/api/v2/ndarrays/to_int16_array",
        "page:reference/python/cirq_google/api/v2/ndarrays/to_int32_array",
        "page:reference/python/cirq_google/api/v2/ndarrays/to_int64_array",
        "page:reference/python/cirq_google/api/v2/ndarrays/to_int8_array",
        "page:reference/python/cirq_google/api/v2/ndarrays/to_uint8_array",
        "page:reference/python/cirq_google/api/v2/ndarrays_pb2",
        "page:reference/python/cirq_google/api/v2/ndarrays_pb2/BitArray",
        "page:reference/python/cirq_google/api/v2/ndarrays_pb2/Complex128Array",
        "page:reference/python/cirq_google/api/v2/ndarrays_pb2/Complex64Array",
        "page:reference/python/cirq_google/api/v2/ndarrays_pb2/Float16Array",
        "page:reference/python/cirq_google/api/v2/ndarrays_pb2/Float32Array",
        "page:reference/python/cirq_google/api/v2/ndarrays_pb2/Float64Array",
        "page:reference/python/cirq_google/api/v2/ndarrays_pb2/Int16Array",
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        "page:reference/python/cirq_google/api/v2/ndarrays_pb2/Int64Array",
        "page:reference/python/cirq_google/api/v2/ndarrays_pb2/Int8Array",
        "page:reference/python/cirq_google/api/v2/pack_bits",
        "page:reference/python/cirq_google/api/v2/program",
        "page:reference/python/cirq_google/api/v2/program_pb2",
        "page:reference/python/cirq_google/api/v2/program_pb2/AnalogDetuneCouplerOnly",
        "page:reference/python/cirq_google/api/v2/program_pb2/AnalogDetuneQubit",
        "page:reference/python/cirq_google/api/v2/program_pb2/Arg",
        "page:reference/python/cirq_google/api/v2/program_pb2/ArgFunction",
        "page:reference/python/cirq_google/api/v2/program_pb2/ArgMapping",
        "page:reference/python/cirq_google/api/v2/program_pb2/ArgMapping/ArgEntry",
        "page:reference/python/cirq_google/api/v2/program_pb2/ArgValue",
        "page:reference/python/cirq_google/api/v2/program_pb2/CZPowGate",
        "page:reference/python/cirq_google/api/v2/program_pb2/CalibrationTag",
        "page:reference/python/cirq_google/api/v2/program_pb2/Circuit",
        "page:reference/python/cirq_google/api/v2/program_pb2/CircuitOperation",
        "page:reference/python/cirq_google/api/v2/program_pb2/ClassicalStateTag",
        "page:reference/python/cirq_google/api/v2/program_pb2/CliffordTableau",
        "page:reference/python/cirq_google/api/v2/program_pb2/Complex",
        "page:reference/python/cirq_google/api/v2/program_pb2/CompressDurationTag",
        "page:reference/python/cirq_google/api/v2/program_pb2/Constant",
        "page:reference/python/cirq_google/api/v2/program_pb2/CouplerPulseGate",
        "page:reference/python/cirq_google/api/v2/program_pb2/CustomArg",
        "page:reference/python/cirq_google/api/v2/program_pb2/DepolarizingChannel",
        "page:reference/python/cirq_google/api/v2/program_pb2/DynamicalDecouplingTag",
        "page:reference/python/cirq_google/api/v2/program_pb2/FSimGate",
        "page:reference/python/cirq_google/api/v2/program_pb2/FSimViaModelTag",
        "page:reference/python/cirq_google/api/v2/program_pb2/FloatArg",
        "page:reference/python/cirq_google/api/v2/program_pb2/FunctionInterpolation",
        "page:reference/python/cirq_google/api/v2/program_pb2/Gate",
        "page:reference/python/cirq_google/api/v2/program_pb2/HPowGate",
        "page:reference/python/cirq_google/api/v2/program_pb2/ISwapLikeGate",
        "page:reference/python/cirq_google/api/v2/program_pb2/ISwapPowGate",
        "page:reference/python/cirq_google/api/v2/program_pb2/IdentityGate",
        "page:reference/python/cirq_google/api/v2/program_pb2/InternalGate",
        "page:reference/python/cirq_google/api/v2/program_pb2/InternalGate/CustomArgsEntry",
        "page:reference/python/cirq_google/api/v2/program_pb2/InternalGate/GateArgsEntry",
        "page:reference/python/cirq_google/api/v2/program_pb2/InternalTag",
        "page:reference/python/cirq_google/api/v2/program_pb2/InternalTag/CustomArgsEntry",
        "page:reference/python/cirq_google/api/v2/program_pb2/InternalTag/TagArgsEntry",
        "page:reference/python/cirq_google/api/v2/program_pb2/KeyedCircuit",
        "page:reference/python/cirq_google/api/v2/program_pb2/KeyedCircuit/ArgsEntry",
        "page:reference/python/cirq_google/api/v2/program_pb2/Language",
        "page:reference/python/cirq_google/api/v2/program_pb2/MeasurementGate",
        "page:reference/python/cirq_google/api/v2/program_pb2/MeasurementKey",
        "page:reference/python/cirq_google/api/v2/program_pb2/MeasurementKeyMapping",
        "page:reference/python/cirq_google/api/v2/program_pb2/MeasurementKeyMapping/MeasurementKeyEntry",
        "page:reference/python/cirq_google/api/v2/program_pb2/Moment",
        "page:reference/python/cirq_google/api/v2/program_pb2/NDArray",
        "page:reference/python/cirq_google/api/v2/program_pb2/NoSyncTag",
        "page:reference/python/cirq_google/api/v2/program_pb2/NoiseChannel",
        "page:reference/python/cirq_google/api/v2/program_pb2/Operation",
        "page:reference/python/cirq_google/api/v2/program_pb2/PhaseMatchTag",
        "page:reference/python/cirq_google/api/v2/program_pb2/PhasedXPowGate",
        "page:reference/python/cirq_google/api/v2/program_pb2/PhasedXZGate",
        "page:reference/python/cirq_google/api/v2/program_pb2/PhysicalZTag",
        "page:reference/python/cirq_google/api/v2/program_pb2/Program",
        "page:reference/python/cirq_google/api/v2/program_pb2/Qubit",
        "page:reference/python/cirq_google/api/v2/program_pb2/QubitMapping",
        "page:reference/python/cirq_google/api/v2/program_pb2/QubitMapping/QubitEntry",
        "page:reference/python/cirq_google/api/v2/program_pb2/RandomGateChannel",
        "page:reference/python/cirq_google/api/v2/program_pb2/RepeatedBoolean",
        "page:reference/python/cirq_google/api/v2/program_pb2/RepeatedDouble",
        "page:reference/python/cirq_google/api/v2/program_pb2/RepeatedInt64",
        "page:reference/python/cirq_google/api/v2/program_pb2/RepeatedString",
        "page:reference/python/cirq_google/api/v2/program_pb2/RepetitionSpecification",
        "page:reference/python/cirq_google/api/v2/program_pb2/RepetitionSpecification/RepetitionIds",
        "page:reference/python/cirq_google/api/v2/program_pb2/ResetGate",
        "page:reference/python/cirq_google/api/v2/program_pb2/ResetGate/ArgumentsEntry",
        "page:reference/python/cirq_google/api/v2/program_pb2/SingleQubitCliffordGate",
        "page:reference/python/cirq_google/api/v2/program_pb2/Tag",
        "page:reference/python/cirq_google/api/v2/program_pb2/Tuple",
        "page:reference/python/cirq_google/api/v2/program_pb2/TwoPulseFSimTag",
        "page:reference/python/cirq_google/api/v2/program_pb2/WaitGate",
        "page:reference/python/cirq_google/api/v2/program_pb2/WaitGateWithUnit",
        "page:reference/python/cirq_google/api/v2/program_pb2/XPowGate",
        "page:reference/python/cirq_google/api/v2/program_pb2/YPowGate",
        "page:reference/python/cirq_google/api/v2/program_pb2/ZPowGate",
        "page:reference/python/cirq_google/api/v2/qubit_from_proto_id",
        "page:reference/python/cirq_google/api/v2/qubit_to_proto_id",
        "page:reference/python/cirq_google/api/v2/result_pb2",
        "page:reference/python/cirq_google/api/v2/result_pb2/MeasurementResult",
        "page:reference/python/cirq_google/api/v2/result_pb2/ParameterDict",
        "page:reference/python/cirq_google/api/v2/result_pb2/ParameterDict/ArgsEntry",
        "page:reference/python/cirq_google/api/v2/result_pb2/ParameterDict/AssignmentsEntry",
        "page:reference/python/cirq_google/api/v2/result_pb2/ParameterizedResult",
        "page:reference/python/cirq_google/api/v2/result_pb2/QuantumCircuitCalibration",
        "page:reference/python/cirq_google/api/v2/result_pb2/QubitMeasurementResult",
        "page:reference/python/cirq_google/api/v2/result_pb2/Result",
        "page:reference/python/cirq_google/api/v2/result_pb2/SweepResult",
        "page:reference/python/cirq_google/api/v2/results",
        "page:reference/python/cirq_google/api/v2/results_from_proto",
        "page:reference/python/cirq_google/api/v2/results_to_proto",
        "page:reference/python/cirq_google/api/v2/run_context_pb2",
        "page:reference/python/cirq_google/api/v2/run_context_pb2/ConstValue",
        "page:reference/python/cirq_google/api/v2/run_context_pb2/DeviceParameter",
        "page:reference/python/cirq_google/api/v2/run_context_pb2/DeviceParametersDiff",
        "page:reference/python/cirq_google/api/v2/run_context_pb2/DeviceParametersDiff/GenericValue",
        "page:reference/python/cirq_google/api/v2/run_context_pb2/DeviceParametersDiff/Param",
        "page:reference/python/cirq_google/api/v2/run_context_pb2/DeviceParametersDiff/ResourceGroup",
        "page:reference/python/cirq_google/api/v2/run_context_pb2/FiniteRandomVariable",
        "page:reference/python/cirq_google/api/v2/run_context_pb2/FiniteRandomVariable/DistributionEntry",
        "page:reference/python/cirq_google/api/v2/run_context_pb2/Linspace",
        "page:reference/python/cirq_google/api/v2/run_context_pb2/Metadata",
        "page:reference/python/cirq_google/api/v2/run_context_pb2/ParameterSweep",
        "page:reference/python/cirq_google/api/v2/run_context_pb2/Points",
        "page:reference/python/cirq_google/api/v2/run_context_pb2/RunContext",
        "page:reference/python/cirq_google/api/v2/run_context_pb2/SingleSweep",
        "page:reference/python/cirq_google/api/v2/run_context_pb2/Sweep",
        "page:reference/python/cirq_google/api/v2/run_context_pb2/SweepFunction",
        "page:reference/python/cirq_google/api/v2/run_context_to_proto",
        "page:reference/python/cirq_google/api/v2/sweep_from_proto",
        "page:reference/python/cirq_google/api/v2/sweep_to_proto",
        "page:reference/python/cirq_google/api/v2/sweeps",
        "page:reference/python/cirq_google/api/v2/sweeps/metadata_from_proto",
        "page:reference/python/cirq_google/api/v2/sweeps/metadata_to_proto",
        "page:reference/python/cirq_google/api/v2/sweeps/sweepable_to_proto",
        "page:reference/python/cirq_google/api/v2/unpack_bits",
        "page:reference/python/cirq_google/cloud",
        "page:reference/python/cirq_google/cloud/quantum",
        "page:reference/python/cirq_google/cloud/quantum/CancelQuantumJobRequest",
        "page:reference/python/cirq_google/cloud/quantum/CancelQuantumReservationRequest",
        "page:reference/python/cirq_google/cloud/quantum/CompileQecProgramRequest",
        "page:reference/python/cirq_google/cloud/quantum/CompileQecProgramResponse",
        "page:reference/python/cirq_google/cloud/quantum/CreateQuantumJobRequest",
        "page:reference/python/cirq_google/cloud/quantum/CreateQuantumProgramAndJobRequest",
        "page:reference/python/cirq_google/cloud/quantum/CreateQuantumProgramRequest",
        "page:reference/python/cirq_google/cloud/quantum/CreateQuantumReservationRequest",
        "page:reference/python/cirq_google/cloud/quantum/DeleteQuantumJobRequest",
        "page:reference/python/cirq_google/cloud/quantum/DeleteQuantumProgramRequest",
        "page:reference/python/cirq_google/cloud/quantum/DeleteQuantumReservationRequest",
        "page:reference/python/cirq_google/cloud/quantum/DeviceConfigKey",
        "page:reference/python/cirq_google/cloud/quantum/DeviceConfigSelector",
        "page:reference/python/cirq_google/cloud/quantum/ExecutionStatus",
        "page:reference/python/cirq_google/cloud/quantum/ExecutionStatus/Failure",
        "page:reference/python/cirq_google/cloud/quantum/ExecutionStatus/Failure/Code",
        "page:reference/python/cirq_google/cloud/quantum/ExecutionStatus/State",
        "page:reference/python/cirq_google/cloud/quantum/ExecutionStatus/Timing",
        "page:reference/python/cirq_google/cloud/quantum/GcsLocation",
        "page:reference/python/cirq_google/cloud/quantum/GetQuantumCalibrationRequest",
        "page:reference/python/cirq_google/cloud/quantum/GetQuantumJobRequest",
        "page:reference/python/cirq_google/cloud/quantum/GetQuantumProcessorConfigRequest",
        "page:reference/python/cirq_google/cloud/quantum/GetQuantumProcessorRequest",
        "page:reference/python/cirq_google/cloud/quantum/GetQuantumProgramRequest",
        "page:reference/python/cirq_google/cloud/quantum/GetQuantumReservationRequest",
        "page:reference/python/cirq_google/cloud/quantum/GetQuantumResultRequest",
        "page:reference/python/cirq_google/cloud/quantum/InlineData",
        "page:reference/python/cirq_google/cloud/quantum/ListQuantumCalibrationsRequest",
        "page:reference/python/cirq_google/cloud/quantum/ListQuantumCalibrationsRequest/QuantumCalibrationView",
        "page:reference/python/cirq_google/cloud/quantum/ListQuantumCalibrationsResponse",
        "page:reference/python/cirq_google/cloud/quantum/ListQuantumJobEventsRequest",
        "page:reference/python/cirq_google/cloud/quantum/ListQuantumJobEventsResponse",
        "page:reference/python/cirq_google/cloud/quantum/ListQuantumJobsRequest",
        "page:reference/python/cirq_google/cloud/quantum/ListQuantumJobsResponse",
        "page:reference/python/cirq_google/cloud/quantum/ListQuantumProcessorAutomationRunHistoryRequest",
        "page:reference/python/cirq_google/cloud/quantum/ListQuantumProcessorAutomationRunHistoryResponse",
        "page:reference/python/cirq_google/cloud/quantum/ListQuantumProcessorConfigsRequest",
        "page:reference/python/cirq_google/cloud/quantum/ListQuantumProcessorConfigsResponse",
        "page:reference/python/cirq_google/cloud/quantum/ListQuantumProcessorsRequest",
        "page:reference/python/cirq_google/cloud/quantum/ListQuantumProcessorsResponse",
        "page:reference/python/cirq_google/cloud/quantum/ListQuantumProgramsRequest",
        "page:reference/python/cirq_google/cloud/quantum/ListQuantumProgramsResponse",
        "page:reference/python/cirq_google/cloud/quantum/ListQuantumReservationBudgetsRequest",
        "page:reference/python/cirq_google/cloud/quantum/ListQuantumReservationBudgetsResponse",
        "page:reference/python/cirq_google/cloud/quantum/ListQuantumReservationGrantsRequest",
        "page:reference/python/cirq_google/cloud/quantum/ListQuantumReservationGrantsResponse",
        "page:reference/python/cirq_google/cloud/quantum/ListQuantumReservationsRequest",
        "page:reference/python/cirq_google/cloud/quantum/ListQuantumReservationsResponse",
        "page:reference/python/cirq_google/cloud/quantum/ListQuantumTimeSlotsRequest",
        "page:reference/python/cirq_google/cloud/quantum/ListQuantumTimeSlotsResponse",
        "page:reference/python/cirq_google/cloud/quantum/OutputConfig",
        "page:reference/python/cirq_google/cloud/quantum/QecRecipe",
        "page:reference/python/cirq_google/cloud/quantum/QuantumCalibration",
        "page:reference/python/cirq_google/cloud/quantum/QuantumEngineServiceAsyncClient",
        "page:reference/python/cirq_google/cloud/quantum/QuantumEngineServiceClient",
        "page:reference/python/cirq_google/cloud/quantum/QuantumJob",
        "page:reference/python/cirq_google/cloud/quantum/QuantumJob/CalibrateCircuitAction",
        "page:reference/python/cirq_google/cloud/quantum/QuantumJob/ExecuteCircuitAction",
        "page:reference/python/cirq_google/cloud/quantum/QuantumJob/LabelsEntry",
        "page:reference/python/cirq_google/cloud/quantum/QuantumJobEvent",
        "page:reference/python/cirq_google/cloud/quantum/QuantumProcessor",
        "page:reference/python/cirq_google/cloud/quantum/QuantumProcessor/ActivityStats",
        "page:reference/python/cirq_google/cloud/quantum/QuantumProcessor/Health",
        "page:reference/python/cirq_google/cloud/quantum/QuantumProcessorAutomationRunHistory",
        "page:reference/python/cirq_google/cloud/quantum/QuantumProcessorConfig",
        "page:reference/python/cirq_google/cloud/quantum/QuantumProgram",
        "page:reference/python/cirq_google/cloud/quantum/QuantumProgram/LabelsEntry",
        "page:reference/python/cirq_google/cloud/quantum/QuantumReservation",
        "page:reference/python/cirq_google/cloud/quantum/QuantumReservationBudget",
        "page:reference/python/cirq_google/cloud/quantum/QuantumReservationGrant",
        "page:reference/python/cirq_google/cloud/quantum/QuantumReservationGrant/Budget",
        "page:reference/python/cirq_google/cloud/quantum/QuantumResult",
        "page:reference/python/cirq_google/cloud/quantum/QuantumRunStreamRequest",
        "page:reference/python/cirq_google/cloud/quantum/QuantumRunStreamResponse",
        "page:reference/python/cirq_google/cloud/quantum/QuantumTimeSlot",
        "page:reference/python/cirq_google/cloud/quantum/QuantumTimeSlot/MaintenanceConfig",
        "page:reference/python/cirq_google/cloud/quantum/QuantumTimeSlot/ReservationConfig",
        "page:reference/python/cirq_google/cloud/quantum/QuantumTimeSlot/TimeSlotType",
        "page:reference/python/cirq_google/cloud/quantum/ReallocateQuantumReservationGrantRequest",
        "page:reference/python/cirq_google/cloud/quantum/SchedulingConfig",
        "page:reference/python/cirq_google/cloud/quantum/SchedulingConfig/ProcessorSelector",
        "page:reference/python/cirq_google/cloud/quantum/StreamError",
        "page:reference/python/cirq_google/cloud/quantum/StreamError/Code",
        "page:reference/python/cirq_google/cloud/quantum/UpdateQuantumJobRequest",
        "page:reference/python/cirq_google/cloud/quantum/UpdateQuantumProgramRequest",
        "page:reference/python/cirq_google/cloud/quantum/UpdateQuantumReservationRequest",
        "page:reference/python/cirq_google/cloud/quantum_v1alpha1",
        "page:reference/python/cirq_google/devices",
        "page:reference/python/cirq_google/devices/GoogleNoiseProperties",
        "page:reference/python/cirq_google/devices/GridDevice",
        "page:reference/python/cirq_google/devices/NoiseModelFromGoogleNoiseProperties",
        "page:reference/python/cirq_google/devices/google_noise_properties",
        "page:reference/python/cirq_google/devices/grid_device",
        "page:reference/python/cirq_google/devices/known_devices/populate_qubit_pairs_in_device_proto",
        "page:reference/python/cirq_google/devices/known_devices/populate_qubits_in_device_proto",
        "page:reference/python/cirq_google/engine",
        "page:reference/python/cirq_google/engine/AbstractEngine",
        "page:reference/python/cirq_google/engine/AbstractJob",
        "page:reference/python/cirq_google/engine/AbstractLocalEngine",
        "page:reference/python/cirq_google/engine/AbstractLocalJob",
        "page:reference/python/cirq_google/engine/AbstractLocalProcessor",
        "page:reference/python/cirq_google/engine/AbstractLocalProgram",
        "page:reference/python/cirq_google/engine/AbstractProcessor",
        "page:reference/python/cirq_google/engine/AbstractProgram",
        "page:reference/python/cirq_google/engine/Calibration",
        "page:reference/python/cirq_google/engine/CalibrationLayer",
        "page:reference/python/cirq_google/engine/Engine",
        "page:reference/python/cirq_google/engine/EngineException",
        "page:reference/python/cirq_google/engine/EngineJob",
        "page:reference/python/cirq_google/engine/EngineProcessor",
        "page:reference/python/cirq_google/engine/EngineProgram",
        "page:reference/python/cirq_google/engine/EngineResult",
        "page:reference/python/cirq_google/engine/ProcessorConfig",
        "page:reference/python/cirq_google/engine/ProcessorSampler",
        "page:reference/python/cirq_google/engine/ProtoVersion",
        "page:reference/python/cirq_google/engine/Run",
        "page:reference/python/cirq_google/engine/SimulatedLocalEngine",
        "page:reference/python/cirq_google/engine/SimulatedLocalJob",
        "page:reference/python/cirq_google/engine/SimulatedLocalProcessor",
        "page:reference/python/cirq_google/engine/SimulatedLocalProgram",
        "page:reference/python/cirq_google/engine/Snapshot",
        "page:reference/python/cirq_google/engine/ValidatingSampler",
        "page:reference/python/cirq_google/engine/abstract_engine",
        "page:reference/python/cirq_google/engine/abstract_job",
        "page:reference/python/cirq_google/engine/abstract_local_engine",
        "page:reference/python/cirq_google/engine/abstract_local_job",
        "page:reference/python/cirq_google/engine/abstract_local_processor",
        "page:reference/python/cirq_google/engine/abstract_local_program",
        "page:reference/python/cirq_google/engine/abstract_processor",
        "page:reference/python/cirq_google/engine/abstract_program",
        "page:reference/python/cirq_google/engine/asyncio_executor",
        "page:reference/python/cirq_google/engine/asyncio_executor/AsyncioExecutor",
        "page:reference/python/cirq_google/engine/calibration",
        "page:reference/python/cirq_google/engine/calibration/ALL_METRICS",
        "page:reference/python/cirq_google/engine/calibration/METRIC_DICT",
        "page:reference/python/cirq_google/engine/calibration/METRIC_KEY",
        "page:reference/python/cirq_google/engine/calibration/METRIC_VALUE",
        "page:reference/python/cirq_google/engine/calibration_layer",
        "page:reference/python/cirq_google/engine/calibration_to_noise_properties",
        "page:reference/python/cirq_google/engine/create_default_noisy_quantum_virtual_machine",
        "page:reference/python/cirq_google/engine/create_device_from_processor_id",
        "page:reference/python/cirq_google/engine/create_noiseless_virtual_engine_from_device",
        "page:reference/python/cirq_google/engine/create_noiseless_virtual_engine_from_latest_templates",
        "page:reference/python/cirq_google/engine/create_noiseless_virtual_engine_from_proto",
        "page:reference/python/cirq_google/engine/create_noiseless_virtual_engine_from_templates",
        "page:reference/python/cirq_google/engine/engine",
        "page:reference/python/cirq_google/engine/engine/EngineContext",
        "page:reference/python/cirq_google/engine/engine_client",
        "page:reference/python/cirq_google/engine/engine_client/EngineClient",
        "page:reference/python/cirq_google/engine/engine_job",
        "page:reference/python/cirq_google/engine/engine_processor",
        "page:reference/python/cirq_google/engine/engine_program",
        "page:reference/python/cirq_google/engine/engine_result",
        "page:reference/python/cirq_google/engine/engine_validator",
        "page:reference/python/cirq_google/engine/engine_validator/PROGRAM_VALIDATOR_TYPE",
        "page:reference/python/cirq_google/engine/engine_validator/create_engine_validator",
        "page:reference/python/cirq_google/engine/engine_validator/create_program_validator",
        "page:reference/python/cirq_google/engine/engine_validator/validate_for_engine",
        "page:reference/python/cirq_google/engine/engine_validator/validate_program",
        "page:reference/python/cirq_google/engine/estimate_run_batch_time",
        "page:reference/python/cirq_google/engine/estimate_run_sweep_time",
        "page:reference/python/cirq_google/engine/estimate_run_time",
        "page:reference/python/cirq_google/engine/get_engine",
        "page:reference/python/cirq_google/engine/get_engine_calibration",
        "page:reference/python/cirq_google/engine/get_engine_device",
        "page:reference/python/cirq_google/engine/get_engine_sampler",
        "page:reference/python/cirq_google/engine/list_virtual_processors",
        "page:reference/python/cirq_google/engine/load_device_noise_properties",
        "page:reference/python/cirq_google/engine/load_median_device_calibration",
        "page:reference/python/cirq_google/engine/load_sample_device_zphase",
        "page:reference/python/cirq_google/engine/local_simulation_type",
        "page:reference/python/cirq_google/engine/local_simulation_type/LocalSimulationType",
        "page:reference/python/cirq_google/engine/noise_properties_from_calibration",
        "page:reference/python/cirq_google/engine/processor_config",
        "page:reference/python/cirq_google/engine/processor_config/validate_device_config_revision",
        "page:reference/python/cirq_google/engine/processor_sampler",
        "page:reference/python/cirq_google/engine/runtime_estimator",
        "page:reference/python/cirq_google/engine/simulated_local_engine",
        "page:reference/python/cirq_google/engine/simulated_local_job",
        "page:reference/python/cirq_google/engine/simulated_local_processor",
        "page:reference/python/cirq_google/engine/simulated_local_program",
        "page:reference/python/cirq_google/engine/stream_manager",
        "page:reference/python/cirq_google/engine/stream_manager/ResponseDemux",
        "page:reference/python/cirq_google/engine/stream_manager/StreamError",
        "page:reference/python/cirq_google/engine/stream_manager/StreamManager",
        "page:reference/python/cirq_google/engine/util",
        "page:reference/python/cirq_google/engine/util/ZPhaseDataType",
        "page:reference/python/cirq_google/engine/util/pack_any",
        "page:reference/python/cirq_google/engine/util/unpack_any",
        "page:reference/python/cirq_google/engine/validating_sampler",
        "page:reference/python/cirq_google/engine/validating_sampler/VALIDATOR_TYPE",
        "page:reference/python/cirq_google/engine/virtual_engine_factory",
        "page:reference/python/cirq_google/engine/virtual_engine_factory/create_device_spec_from_processor_id",
        "page:reference/python/cirq_google/engine/virtual_engine_factory/create_noiseless_virtual_processor_from_proto",
        "page:reference/python/cirq_google/engine/virtual_engine_factory/create_noiseless_virtual_processor_from_template",
        "page:reference/python/cirq_google/engine/virtual_engine_factory/extract_gate_times_ns_from_device",
        "page:reference/python/cirq_google/experimental",
        "page:reference/python/cirq_google/experimental/CouplerPulse",
        "page:reference/python/cirq_google/experimental/PerQubitDepolarizingWithDampedReadoutNoiseModel",
        "page:reference/python/cirq_google/experimental/noise_models",
        "page:reference/python/cirq_google/experimental/noise_models/noise_models",
        "page:reference/python/cirq_google/experimental/noise_models/noise_models/exp",
        "page:reference/python/cirq_google/experimental/ops",
        "page:reference/python/cirq_google/experimental/ops/coupler_pulse",
        "page:reference/python/cirq_google/experimental/simple_noise_from_calibration_metrics",
        "page:reference/python/cirq_google/json_resolver_cache",
        "page:reference/python/cirq_google/line",
        "page:reference/python/cirq_google/line/AnnealSequenceSearchStrategy",
        "page:reference/python/cirq_google/line/GreedySequenceSearchStrategy",
        "page:reference/python/cirq_google/line/LinePlacementStrategy",
        "page:reference/python/cirq_google/line/line_on_device",
        "page:reference/python/cirq_google/line/placement",
        "page:reference/python/cirq_google/line/placement/GridQubitLineTuple",
        "page:reference/python/cirq_google/line/placement/anneal",
        "page:reference/python/cirq_google/line/placement/anneal/AnnealSequenceSearch",
        "page:reference/python/cirq_google/line/placement/anneal/EDGE",
        "page:reference/python/cirq_google/line/placement/anneal/LineSequence",
        "page:reference/python/cirq_google/line/placement/anneal/index_2d",
        "page:reference/python/cirq_google/line/placement/anneal_minimize",
        "page:reference/python/cirq_google/line/placement/chip",
        "page:reference/python/cirq_google/line/placement/chip/above",
        "page:reference/python/cirq_google/line/placement/chip/below",
        "page:reference/python/cirq_google/line/placement/chip/chip_as_adjacency_list",
        "page:reference/python/cirq_google/line/placement/chip/left_of",
        "page:reference/python/cirq_google/line/placement/chip/right_of",
        "page:reference/python/cirq_google/line/placement/greedy",
        "page:reference/python/cirq_google/line/placement/greedy/GreedySequenceSearch",
        "page:reference/python/cirq_google/line/placement/line",
        "page:reference/python/cirq_google/line/placement/optimization",
        "page:reference/python/cirq_google/line/placement/place_strategy",
        "page:reference/python/cirq_google/line/placement/sequence",
        "page:reference/python/cirq_google/line/placement/sequence/NotFoundError",
        "page:reference/python/cirq_google/ops",
        "page:reference/python/cirq_google/ops/AnalogDetuneCouplerOnly",
        "page:reference/python/cirq_google/ops/AnalogDetuneQubit",
        "page:reference/python/cirq_google/ops/CalibrationTag",
        "page:reference/python/cirq_google/ops/CompressDurationTag",
        "page:reference/python/cirq_google/ops/Coupler",
        "page:reference/python/cirq_google/ops/DynamicalDecouplingTag",
        "page:reference/python/cirq_google/ops/FSimGateFamily",
        "page:reference/python/cirq_google/ops/FSimViaModelTag",
        "page:reference/python/cirq_google/ops/InternalGate",
        "page:reference/python/cirq_google/ops/InternalTag",
        "page:reference/python/cirq_google/ops/LZSResetViaResonator",
        "page:reference/python/cirq_google/ops/LeakageISWAP",
        "page:reference/python/cirq_google/ops/MultiStepMultiLevelReset",
        "page:reference/python/cirq_google/ops/MultilevelResetViaResonator",
        "page:reference/python/cirq_google/ops/NoSyncTag",
        "page:reference/python/cirq_google/ops/PhysicalZTag",
        "page:reference/python/cirq_google/ops/SYC",
        "page:reference/python/cirq_google/ops/SycamoreGate",
        "page:reference/python/cirq_google/ops/TwoPulseFSimTag",
        "page:reference/python/cirq_google/ops/WILLOW",
        "page:reference/python/cirq_google/ops/WaitGateWithUnit",
        "page:reference/python/cirq_google/ops/WillowGate",
        "page:reference/python/cirq_google/ops/analog_detune_gates",
        "page:reference/python/cirq_google/ops/calibration_tag",
        "page:reference/python/cirq_google/ops/compress_duration_tag",
        "page:reference/python/cirq_google/ops/coupler",
        "page:reference/python/cirq_google/ops/dynamical_decoupling_tag",
        "page:reference/python/cirq_google/ops/fsim_gate_family",
        "page:reference/python/cirq_google/ops/fsim_via_model_tag",
        "page:reference/python/cirq_google/ops/internal_gate",
        "page:reference/python/cirq_google/ops/internal_gate/function_points_to_proto",
        "page:reference/python/cirq_google/ops/internal_tag",
        "page:reference/python/cirq_google/ops/leakage_iswap",
        "page:reference/python/cirq_google/ops/lzs_reset",
        "page:reference/python/cirq_google/ops/msmlr_reset",
        "page:reference/python/cirq_google/ops/multi_level_reset",
        "page:reference/python/cirq_google/ops/no_sync_tag",
        "page:reference/python/cirq_google/ops/physical_z_tag",
        "page:reference/python/cirq_google/ops/sycamore_gate",
        "page:reference/python/cirq_google/ops/two_pulse_fsim_tag",
        "page:reference/python/cirq_google/ops/wait_gate",
        "page:reference/python/cirq_google/ops/willow_gate",
        "page:reference/python/cirq_google/serialization",
        "page:reference/python/cirq_google/serialization/CircuitOpDeserializer",
        "page:reference/python/cirq_google/serialization/CircuitOpSerializer",
        "page:reference/python/cirq_google/serialization/CircuitSerializer",
        "page:reference/python/cirq_google/serialization/Serializer",
        "page:reference/python/cirq_google/serialization/arg_from_proto",
        "page:reference/python/cirq_google/serialization/arg_func_langs",
        "page:reference/python/cirq_google/serialization/arg_func_langs/arg_to_proto",
        "page:reference/python/cirq_google/serialization/arg_func_langs/clifford_tableau_arg_to_proto",
        "page:reference/python/cirq_google/serialization/arg_func_langs/clifford_tableau_from_proto",
        "page:reference/python/cirq_google/serialization/arg_func_langs/condition_from_proto",
        "page:reference/python/cirq_google/serialization/arg_func_langs/condition_to_proto",
        "page:reference/python/cirq_google/serialization/arg_func_langs/dict_from_arg_mapping_proto",
        "page:reference/python/cirq_google/serialization/arg_func_langs/dict_to_arg_mapping_proto",
        "page:reference/python/cirq_google/serialization/arg_func_langs/float_arg_from_proto",
        "page:reference/python/cirq_google/serialization/arg_func_langs/float_arg_to_proto",
        "page:reference/python/cirq_google/serialization/arg_func_langs/internal_gate_arg_to_proto",
        "page:reference/python/cirq_google/serialization/arg_func_langs/internal_gate_from_proto",
        "page:reference/python/cirq_google/serialization/circuit_serializer",
        "page:reference/python/cirq_google/serialization/op_deserializer",
        "page:reference/python/cirq_google/serialization/op_deserializer/OpDeserializer",
        "page:reference/python/cirq_google/serialization/op_serializer",
        "page:reference/python/cirq_google/serialization/op_serializer/OpSerializer",
        "page:reference/python/cirq_google/serialization/serializer",
        "page:reference/python/cirq_google/serialization/stimcirq_deserializer",
        "page:reference/python/cirq_google/serialization/stimcirq_deserializer/StimCirqDeserializer",
        "page:reference/python/cirq_google/serialization/stimcirq_serializer",
        "page:reference/python/cirq_google/serialization/stimcirq_serializer/StimCirqSerializer",
        "page:reference/python/cirq_google/serialization/tag_deserializer",
        "page:reference/python/cirq_google/serialization/tag_deserializer/TagDeserializer",
        "page:reference/python/cirq_google/serialization/tag_serializer",
        "page:reference/python/cirq_google/serialization/tag_serializer/TagSerializer",
        "page:reference/python/cirq_google/study",
        "page:reference/python/cirq_google/study/DeviceParameter",
        "page:reference/python/cirq_google/study/FiniteRandomVariable",
        "page:reference/python/cirq_google/study/Metadata",
        "page:reference/python/cirq_google/study/device_parameter",
        "page:reference/python/cirq_google/study/device_parameter/SupportsDeviceParameter",
        "page:reference/python/cirq_google/study/finite_random_variable",
        "page:reference/python/cirq_google/study/symbol_util",
        "page:reference/python/cirq_google/study/symbol_util/dict_param_name",
        "page:reference/python/cirq_google/study/symbol_util/direct_symbol_replacement",
        "page:reference/python/cirq_google/study/symbol_util/is_parameterized_dict",
        "page:reference/python/cirq_google/transformers",
        "page:reference/python/cirq_google/transformers/GoogleCZTargetGateset",
        "page:reference/python/cirq_google/transformers/SYCGaugeTransformer",
        "page:reference/python/cirq_google/transformers/SycamoreTargetGateset",
        "page:reference/python/cirq_google/transformers/analytical_decompositions",
        "page:reference/python/cirq_google/transformers/analytical_decompositions/two_qubit_to_sycamore",
        "page:reference/python/cirq_google/transformers/known_2q_op_to_sycamore_operations",
        "page:reference/python/cirq_google/transformers/sycamore_gauge",
        "page:reference/python/cirq_google/transformers/sycamore_gauge/SYCGaugeSelector",
        "page:reference/python/cirq_google/transformers/target_gatesets",
        "page:reference/python/cirq_google/transformers/target_gatesets/google_cz_gateset",
        "page:reference/python/cirq_google/transformers/target_gatesets/sycamore_gateset",
        "page:reference/python/cirq_google/transformers/target_gatesets/sycamore_gateset/merge_swap_rzz_and_2q_unitaries",
        "page:reference/python/cirq_google/transformers/two_qubit_matrix_to_sycamore_operations",
        "page:reference/python/cirq_google/workflow",
        "page:reference/python/cirq_google/workflow/BitstringsMeasurement",
        "page:reference/python/cirq_google/workflow/CouldNotPlaceError",
        "page:reference/python/cirq_google/workflow/EngineProcessorRecord",
        "page:reference/python/cirq_google/workflow/ExecutableGroupResult",
        "page:reference/python/cirq_google/workflow/ExecutableGroupResultFilesystemRecord",
        "page:reference/python/cirq_google/workflow/ExecutableResult",
        "page:reference/python/cirq_google/workflow/ExecutableSpec",
        "page:reference/python/cirq_google/workflow/HardcodedQubitPlacer",
        "page:reference/python/cirq_google/workflow/KeyValueExecutableSpec",
        "page:reference/python/cirq_google/workflow/NaiveQubitPlacer",
        "page:reference/python/cirq_google/workflow/ProcessorRecord",
        "page:reference/python/cirq_google/workflow/QuantumExecutable",
        "page:reference/python/cirq_google/workflow/QuantumExecutableGroup",
        "page:reference/python/cirq_google/workflow/QuantumRuntimeConfiguration",
        "page:reference/python/cirq_google/workflow/QubitPlacer",
        "page:reference/python/cirq_google/workflow/RandomDevicePlacer",
        "page:reference/python/cirq_google/workflow/RuntimeInfo",
        "page:reference/python/cirq_google/workflow/SharedRuntimeInfo",
        "page:reference/python/cirq_google/workflow/SimulatedProcessorRecord",
        "page:reference/python/cirq_google/workflow/SimulatedProcessorWithLocalDeviceRecord",
        "page:reference/python/cirq_google/workflow/execute",
        "page:reference/python/cirq_google/workflow/io",
        "page:reference/python/cirq_google/workflow/processor_record",
        "page:reference/python/cirq_google/workflow/progress",
        "page:reference/python/cirq_google/workflow/quantum_executable",
        "page:reference/python/cirq_google/workflow/quantum_executable/TParamPair",
        "page:reference/python/cirq_google/workflow/quantum_runtime",
        "page:reference/python/cirq_google/workflow/qubit_placement",
        "page:reference/python/cirq_google/workflow/qubit_placement/default_topo_node_to_qubit",
        "page:reference/python/cirq_ionq",
        "page:reference/python/cirq_pasqal",
        "page:reference/python/cirq_web",
        "page:reference/python/fqe",
        "page:reference/python/fqe/NumberOperator",
        "page:reference/python/fqe/S2Operator",
        "page:reference/python/fqe/SzOperator",
        "page:reference/python/fqe/TimeReversalOp",
        "page:reference/python/fqe/Wavefunction",
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        "page:reference/python/fqe/bitstring",
        "page:reference/python/fqe/bitstring/check_conserved_bits",
        "page:reference/python/fqe/bitstring/count_bits",
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        "page:reference/python/fqe/cirq_utils",
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        "page:reference/python/fqe/cirq_utils/Y",
        "page:reference/python/fqe/cirq_utils/Z",
        "page:reference/python/fqe/cirq_utils/qubit_op_to_gate",
        "page:reference/python/fqe/cirq_utils/qubit_ops_to_circuit",
        "page:reference/python/fqe/cirq_utils/qubit_projection",
        "page:reference/python/fqe/cirq_utils/qubit_wavefunction_from_vacuum",
        "page:reference/python/fqe/diagonal_coulomb",
        "page:reference/python/fqe/diagonal_coulomb/DiagonalCoulomb",
        "page:reference/python/fqe/diagonal_hamiltonian",
        "page:reference/python/fqe/diagonal_hamiltonian/Diagonal",
        "page:reference/python/fqe/dot",
        "page:reference/python/fqe/expectationValue",
        "page:reference/python/fqe/fci_graph",
        "page:reference/python/fqe/fci_graph/FciGraph",
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        "page:reference/python/fqe/fci_graph/binom",
        "page:reference/python/fqe/fci_graph_set",
        "page:reference/python/fqe/fci_graph_set/FciGraphSet",
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        "page:reference/python/fqe/fqe_data/FqeData",
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        "page:reference/python/fqe/fqe_data_set/FqeDataSet",
        "page:reference/python/fqe/fqe_decorators",
        "page:reference/python/fqe/fqe_decorators/build_hamiltonian",
        "page:reference/python/fqe/fqe_decorators/check_diagonal_coulomb",
        "page:reference/python/fqe/fqe_decorators/fermionops_tomatrix",
        "page:reference/python/fqe/fqe_decorators/process_rank2_matrix",
        "page:reference/python/fqe/fqe_decorators/split_openfermion_tensor",
        "page:reference/python/fqe/fqe_decorators/transform_to_spin_broken",
        "page:reference/python/fqe/fqe_decorators/wrap_apply",
        "page:reference/python/fqe/fqe_decorators/wrap_apply_generated_unitary",
        "page:reference/python/fqe/fqe_decorators/wrap_rdm",
        "page:reference/python/fqe/fqe_decorators/wrap_time_evolve",
        "page:reference/python/fqe/fqe_ops",
        "page:reference/python/fqe/fqe_ops/fqe_operator",
        "page:reference/python/fqe/fqe_ops/fqe_operator/FqeOperator",
        "page:reference/python/fqe/fqe_ops/fqe_ops",
        "page:reference/python/fqe/fqe_ops/fqe_ops_utils",
        "page:reference/python/fqe/fqe_ops/fqe_ops_utils/switch_broken_symmetry",
        "page:reference/python/fqe/fqe_ops/fqe_ops_utils/validate_rdm_string",
        "page:reference/python/fqe/from_cirq",
        "page:reference/python/fqe/general_hamiltonian",
        "page:reference/python/fqe/general_hamiltonian/General",
        "page:reference/python/fqe/get_diagonal_hamiltonian",
        "page:reference/python/fqe/get_diagonalcoulomb_hamiltonian",
        "page:reference/python/fqe/get_general_hamiltonian",
        "page:reference/python/fqe/get_gso_hamiltonian",
        "page:reference/python/fqe/get_hamiltonian_from_openfermion",
        "page:reference/python/fqe/get_number_conserving_wavefunction",
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        "page:reference/python/fqe/get_s2_operator",
        "page:reference/python/fqe/get_sparse_hamiltonian",
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        "page:reference/python/fqe/get_sz_operator",
        "page:reference/python/fqe/get_time_reversal_operator",
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        "page:reference/python/fqe/gso_hamiltonian/GSOHamiltonian",
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        "page:reference/python/openfermion/chem/load_molecular_hamiltonian",
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        "page:reference/python/openfermion/chem/molecular_data/MissingCalculationError",
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        "page:reference/python/openfermion/circuits",
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        "page:reference/python/openfermion/circuits/LinearSwapNetworkTrotterAlgorithm",
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        "page:reference/python/openfermion/circuits/ParityPreservingFermionicGate",
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        "page:reference/python/openfermion/circuits/jw_slater_determinant",
        "page:reference/python/openfermion/circuits/lambda_norm",
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        "page:reference/python/openfermion/circuits/pauli_exp_to_qasm",
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        "page:reference/python/openfermion/circuits/preprocess_lcu_coefficients_for_reversible_sampling",
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        "page:reference/python/openfermion/circuits/simulate_trotter",
        "page:reference/python/openfermion/circuits/simulation_ordered_grouped_hubbard_terms_with_info",
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        "page:reference/python/openfermion/circuits/split_operator_trotter_error_operator_diagonal_two_body",
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        "page:reference/python/openfermion/circuits/trotter/algorithms/linear_swap_network",
        "page:reference/python/openfermion/circuits/trotter/algorithms/linear_swap_network/AsymmetricLinearSwapNetworkTrotterStep",
        "page:reference/python/openfermion/circuits/trotter/algorithms/linear_swap_network/ControlledAsymmetricLinearSwapNetworkTrotterStep",
        "page:reference/python/openfermion/circuits/trotter/algorithms/linear_swap_network/ControlledSymmetricLinearSwapNetworkTrotterStep",
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        "page:reference/python/openfermion/circuits/trotter/algorithms/low_rank",
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        "page:reference/python/openfermion/circuits/trotter/algorithms/low_rank/ControlledAsymmetricLowRankTrotterStep",
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        "page:reference/python/openfermion/circuits/trotter/algorithms/split_operator",
        "page:reference/python/openfermion/circuits/trotter/diagonal_coulomb_trotter_error",
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        "page:reference/python/openfermion/circuits/trotter/low_depth_trotter_error",
        "page:reference/python/openfermion/circuits/trotter/low_depth_trotter_error/ordered_low_depth_terms_no_info",
        "page:reference/python/openfermion/circuits/trotter/trotter_algorithm",
        "page:reference/python/openfermion/circuits/trotter/trotter_algorithm/Hamiltonian",
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        "page:reference/python/openfermion/circuits/trotter/trotter_error/commutator",
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        "page:reference/python/openfermion/circuits/trotter/trotter_error/trivially_double_commutes",
        "page:reference/python/openfermion/circuits/trotter_exp_to_qgates",
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        "page:reference/python/openfermion/circuits/trotter_steps_required",
        "page:reference/python/openfermion/circuits/trotter_steps_required_propagator",
        "page:reference/python/openfermion/circuits/trotterize_exp_qubop_to_qasm",
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        "page:reference/python/openfermion/circuits/uccsd_singlet_generator",
        "page:reference/python/openfermion/circuits/uccsd_singlet_get_packed_amplitudes",
        "page:reference/python/openfermion/circuits/uccsd_singlet_paramsize",
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        "page:reference/python/openfermion/functionals/get_one_norm_int",
        "page:reference/python/openfermion/functionals/get_one_norm_int_woconst",
        "page:reference/python/openfermion/functionals/get_one_norm_mol",
        "page:reference/python/openfermion/functionals/get_one_norm_mol_woconst",
        "page:reference/python/openfermion/hamiltonians",
        "page:reference/python/openfermion/hamiltonians/FermiHubbardModel",
        "page:reference/python/openfermion/hamiltonians/HartreeFockFunctional",
        "page:reference/python/openfermion/hamiltonians/RichardsonGaudin",
        "page:reference/python/openfermion/hamiltonians/bose_hubbard",
        "page:reference/python/openfermion/hamiltonians/dual_basis_external_potential",
        "page:reference/python/openfermion/hamiltonians/dual_basis_jellium_model",
        "page:reference/python/openfermion/hamiltonians/dual_basis_kinetic",
        "page:reference/python/openfermion/hamiltonians/dual_basis_potential",
        "page:reference/python/openfermion/hamiltonians/fermi_hubbard",
        "page:reference/python/openfermion/hamiltonians/general_hubbard",
        "page:reference/python/openfermion/hamiltonians/general_hubbard/InteractionParameter",
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        "page:reference/python/openfermion/hamiltonians/hartree_fock/InputError",
        "page:reference/python/openfermion/hamiltonians/hartree_fock_state_jellium",
        "page:reference/python/openfermion/hamiltonians/hubbard",
        "page:reference/python/openfermion/hamiltonians/hypercube_grid_with_given_wigner_seitz_radius_and_filling",
        "page:reference/python/openfermion/hamiltonians/interaction_operator",
        "page:reference/python/openfermion/hamiltonians/jellium",
        "page:reference/python/openfermion/hamiltonians/jellium/coulomb_potential_momentum",
        "page:reference/python/openfermion/hamiltonians/jellium_hf_state",
        "page:reference/python/openfermion/hamiltonians/jellium_model",
        "page:reference/python/openfermion/hamiltonians/jordan_wigner_dual_basis_hamiltonian",
        "page:reference/python/openfermion/hamiltonians/jordan_wigner_dual_basis_jellium",
        "page:reference/python/openfermion/hamiltonians/lowest_single_particle_energy_states",
        "page:reference/python/openfermion/hamiltonians/majorana_operator",
        "page:reference/python/openfermion/hamiltonians/mean_field_dwave",
        "page:reference/python/openfermion/hamiltonians/number_difference_operator",
        "page:reference/python/openfermion/hamiltonians/number_operator",
        "page:reference/python/openfermion/hamiltonians/plane_wave_external_potential",
        "page:reference/python/openfermion/hamiltonians/plane_wave_hamiltonian",
        "page:reference/python/openfermion/hamiltonians/plane_wave_kinetic",
        "page:reference/python/openfermion/hamiltonians/plane_wave_potential",
        "page:reference/python/openfermion/hamiltonians/rhf_func_generator",
        "page:reference/python/openfermion/hamiltonians/rhf_minimization",
        "page:reference/python/openfermion/hamiltonians/rhf_params_to_matrix",
        "page:reference/python/openfermion/hamiltonians/richardson_gaudin",
        "page:reference/python/openfermion/hamiltonians/s_minus_operator",
        "page:reference/python/openfermion/hamiltonians/s_plus_operator",
        "page:reference/python/openfermion/hamiltonians/s_squared_operator",
        "page:reference/python/openfermion/hamiltonians/special_operators",
        "page:reference/python/openfermion/hamiltonians/sx_operator",
        "page:reference/python/openfermion/hamiltonians/sy_operator",
        "page:reference/python/openfermion/hamiltonians/sz_operator",
        "page:reference/python/openfermion/hamiltonians/tunneling_operator",
        "page:reference/python/openfermion/hamiltonians/wigner_seitz_length_scale",
        "page:reference/python/openfermion/heaviside",
        "page:reference/python/openfermion/higham_polynomial",
        "page:reference/python/openfermion/higham_root",
        "page:reference/python/openfermion/linalg",
        "page:reference/python/openfermion/linalg/Davidson",
        "page:reference/python/openfermion/linalg/DavidsonError",
        "page:reference/python/openfermion/linalg/DavidsonOptions",
        "page:reference/python/openfermion/linalg/LinearQubitOperator",
        "page:reference/python/openfermion/linalg/LinearQubitOperatorOptions",
        "page:reference/python/openfermion/linalg/ParallelLinearQubitOperator",
        "page:reference/python/openfermion/linalg/QubitDavidson",
        "page:reference/python/openfermion/linalg/SparseDavidson",
        "page:reference/python/openfermion/linalg/append_random_vectors",
        "page:reference/python/openfermion/linalg/boson_ladder_sparse",
        "page:reference/python/openfermion/linalg/boson_operator_sparse",
        "page:reference/python/openfermion/linalg/davidson",
        "page:reference/python/openfermion/linalg/double_givens_rotate",
        "page:reference/python/openfermion/linalg/eigenspectrum",
        "page:reference/python/openfermion/linalg/erpa",
        "page:reference/python/openfermion/linalg/erpa/einsum",
        "page:reference/python/openfermion/linalg/erpa_eom_hamiltonian",
        "page:reference/python/openfermion/linalg/expectation",
        "page:reference/python/openfermion/linalg/expectation_computational_basis_state",
        "page:reference/python/openfermion/linalg/expectation_db_operator_with_pw_basis_state",
        "page:reference/python/openfermion/linalg/expectation_one_body_db_operator_computational_basis_state",
        "page:reference/python/openfermion/linalg/expectation_three_body_db_operator_computational_basis_state",
        "page:reference/python/openfermion/linalg/expectation_two_body_db_operator_computational_basis_state",
        "page:reference/python/openfermion/linalg/fermionic_gaussian_decomposition",
        "page:reference/python/openfermion/linalg/fit_known_frequencies",
        "page:reference/python/openfermion/linalg/generate_linear_qubit_operator",
        "page:reference/python/openfermion/linalg/generate_parity_permutations",
        "page:reference/python/openfermion/linalg/generate_random_vectors",
        "page:reference/python/openfermion/linalg/get_density_matrix",
        "page:reference/python/openfermion/linalg/get_gap",
        "page:reference/python/openfermion/linalg/get_ground_state",
        "page:reference/python/openfermion/linalg/get_linear_qubit_operator_diagonal",
        "page:reference/python/openfermion/linalg/get_number_preserving_sparse_operator",
        "page:reference/python/openfermion/linalg/get_sparse_operator",
        "page:reference/python/openfermion/linalg/givens_decomposition",
        "page:reference/python/openfermion/linalg/givens_decomposition_square",
        "page:reference/python/openfermion/linalg/givens_matrix_elements",
        "page:reference/python/openfermion/linalg/givens_rotate",
        "page:reference/python/openfermion/linalg/givens_rotations",
        "page:reference/python/openfermion/linalg/inner_product",
        "page:reference/python/openfermion/linalg/jordan_wigner_ladder_sparse",
        "page:reference/python/openfermion/linalg/jordan_wigner_sparse",
        "page:reference/python/openfermion/linalg/jw_configuration_state",
        "page:reference/python/openfermion/linalg/jw_get_ground_state_at_particle_number",
        "page:reference/python/openfermion/linalg/jw_hartree_fock_state",
        "page:reference/python/openfermion/linalg/jw_number_indices",
        "page:reference/python/openfermion/linalg/jw_number_restrict_operator",
        "page:reference/python/openfermion/linalg/jw_number_restrict_state",
        "page:reference/python/openfermion/linalg/jw_sparse_givens_rotation",
        "page:reference/python/openfermion/linalg/jw_sparse_particle_hole_transformation_last_mode",
        "page:reference/python/openfermion/linalg/jw_sz_indices",
        "page:reference/python/openfermion/linalg/jw_sz_restrict_operator",
        "page:reference/python/openfermion/linalg/jw_sz_restrict_state",
        "page:reference/python/openfermion/linalg/kronecker_operators",
        "page:reference/python/openfermion/linalg/linear_qubit_operator",
        "page:reference/python/openfermion/linalg/linear_qubit_operator/apply_operator",
        "page:reference/python/openfermion/linalg/orthonormalize",
        "page:reference/python/openfermion/linalg/prony",
        "page:reference/python/openfermion/linalg/qubit_operator_sparse",
        "page:reference/python/openfermion/linalg/rdm_reconstruction",
        "page:reference/python/openfermion/linalg/single_quad_op_sparse",
        "page:reference/python/openfermion/linalg/singlet_erpa",
        "page:reference/python/openfermion/linalg/sparse_eigenspectrum",
        "page:reference/python/openfermion/linalg/sparse_tools",
        "page:reference/python/openfermion/linalg/sparse_tools/reduce",
        "page:reference/python/openfermion/linalg/swap_columns",
        "page:reference/python/openfermion/linalg/swap_rows",
        "page:reference/python/openfermion/linalg/valdemoro_reconstruction",
        "page:reference/python/openfermion/linalg/variance",
        "page:reference/python/openfermion/linalg/wave_fitting",
        "page:reference/python/openfermion/linalg/wedge",
        "page:reference/python/openfermion/linalg/wedge_product",
        "page:reference/python/openfermion/linalg/wedge_product/factorial",
        "page:reference/python/openfermion/linalg/wrapped_kronecker",
        "page:reference/python/openfermion/map_to_matrix",
        "page:reference/python/openfermion/map_to_tensor",
        "page:reference/python/openfermion/measurements",
        "page:reference/python/openfermion/measurements/PhaseFitEstimator",
        "page:reference/python/openfermion/measurements/apply_constraints",
        "page:reference/python/openfermion/measurements/binary_partition_iterator",
        "page:reference/python/openfermion/measurements/constraint_matrix",
        "page:reference/python/openfermion/measurements/equality_constraint_projection",
        "page:reference/python/openfermion/measurements/fermion_partitioning",
        "page:reference/python/openfermion/measurements/fermion_partitioning/Pairing",
        "page:reference/python/openfermion/measurements/get_interaction_rdm",
        "page:reference/python/openfermion/measurements/get_phase_function",
        "page:reference/python/openfermion/measurements/group_into_tensor_product_basis_sets",
        "page:reference/python/openfermion/measurements/linearize_term",
        "page:reference/python/openfermion/measurements/one_body_fermion_constraints",
        "page:reference/python/openfermion/measurements/operator_to_vector",
        "page:reference/python/openfermion/measurements/pair_between",
        "page:reference/python/openfermion/measurements/pair_within",
        "page:reference/python/openfermion/measurements/pair_within_simultaneously",
        "page:reference/python/openfermion/measurements/pair_within_simultaneously_binned",
        "page:reference/python/openfermion/measurements/pair_within_simultaneously_symmetric",
        "page:reference/python/openfermion/measurements/partition_iterator",
        "page:reference/python/openfermion/measurements/pauli_string_iterator",
        "page:reference/python/openfermion/measurements/qubit_partitioning",
        "page:reference/python/openfermion/measurements/rdm_equality_constraints",
        "page:reference/python/openfermion/measurements/two_body_fermion_constraints",
        "page:reference/python/openfermion/measurements/unlinearize_term",
        "page:reference/python/openfermion/measurements/vector_to_operator",
        "page:reference/python/openfermion/measurements/vpe_estimators",
        "page:reference/python/openfermion/ops",
        "page:reference/python/openfermion/ops/BinaryCode",
        "page:reference/python/openfermion/ops/BinaryCodeError",
        "page:reference/python/openfermion/ops/BinaryPolynomial",
        "page:reference/python/openfermion/ops/BinaryPolynomialError",
        "page:reference/python/openfermion/ops/BosonOperator",
        "page:reference/python/openfermion/ops/DOCIHamiltonian",
        "page:reference/python/openfermion/ops/DiagonalCoulombHamiltonian",
        "page:reference/python/openfermion/ops/FermionOperator",
        "page:reference/python/openfermion/ops/InteractionOperator",
        "page:reference/python/openfermion/ops/InteractionOperatorError",
        "page:reference/python/openfermion/ops/InteractionRDM",
        "page:reference/python/openfermion/ops/InteractionRDMError",
        "page:reference/python/openfermion/ops/IsingOperator",
        "page:reference/python/openfermion/ops/MajoranaOperator",
        "page:reference/python/openfermion/ops/PolynomialTensor",
        "page:reference/python/openfermion/ops/PolynomialTensorError",
        "page:reference/python/openfermion/ops/QuadOperator",
        "page:reference/python/openfermion/ops/QuadraticHamiltonian",
        "page:reference/python/openfermion/ops/QuadraticHamiltonianError",
        "page:reference/python/openfermion/ops/QubitOperator",
        "page:reference/python/openfermion/ops/SymbolicOperator",
        "page:reference/python/openfermion/ops/antisymmetric_canonical_form",
        "page:reference/python/openfermion/ops/double_decoding",
        "page:reference/python/openfermion/ops/general_basis_change",
        "page:reference/python/openfermion/ops/operators",
        "page:reference/python/openfermion/ops/operators/binary_code",
        "page:reference/python/openfermion/ops/operators/binary_polynomial",
        "page:reference/python/openfermion/ops/operators/binary_sum_rule",
        "page:reference/python/openfermion/ops/operators/boson_operator",
        "page:reference/python/openfermion/ops/operators/fermion_operator",
        "page:reference/python/openfermion/ops/operators/ising_operator",
        "page:reference/python/openfermion/ops/operators/majorana_operator",
        "page:reference/python/openfermion/ops/operators/quad_operator",
        "page:reference/python/openfermion/ops/operators/qubit_operator",
        "page:reference/python/openfermion/ops/operators/symbolic_operator",
        "page:reference/python/openfermion/ops/representations",
        "page:reference/python/openfermion/ops/representations/diagonal_coulomb_hamiltonian",
        "page:reference/python/openfermion/ops/representations/doci_hamiltonian",
        "page:reference/python/openfermion/ops/representations/doci_hamiltonian/get_doci_from_integrals",
        "page:reference/python/openfermion/ops/representations/doci_hamiltonian/get_projected_integrals_from_doci",
        "page:reference/python/openfermion/ops/representations/doci_hamiltonian/get_tensors_from_doci",
        "page:reference/python/openfermion/ops/representations/get_active_space_integrals",
        "page:reference/python/openfermion/ops/representations/get_tensors_from_integrals",
        "page:reference/python/openfermion/ops/representations/interaction_operator",
        "page:reference/python/openfermion/ops/representations/interaction_rdm",
        "page:reference/python/openfermion/ops/representations/polynomial_tensor",
        "page:reference/python/openfermion/ops/representations/quadratic_hamiltonian",
        "page:reference/python/openfermion/ops/shift_decoder",
        "page:reference/python/openfermion/testing",
        "page:reference/python/openfermion/testing/EqualsTester",
        "page:reference/python/openfermion/testing/assert_equivalent_repr",
        "page:reference/python/openfermion/testing/assert_implements_consistent_protocols",
        "page:reference/python/openfermion/testing/circuit_validation",
        "page:reference/python/openfermion/testing/haar_random_vector",
        "page:reference/python/openfermion/testing/module_importable",
        "page:reference/python/openfermion/testing/random",
        "page:reference/python/openfermion/testing/random_antisymmetric_matrix",
        "page:reference/python/openfermion/testing/random_diagonal_coulomb_hamiltonian",
        "page:reference/python/openfermion/testing/random_hermitian_matrix",
        "page:reference/python/openfermion/testing/random_interaction_operator",
        "page:reference/python/openfermion/testing/random_interaction_operator_term",
        "page:reference/python/openfermion/testing/random_quadratic_hamiltonian",
        "page:reference/python/openfermion/testing/random_qubit_operator",
        "page:reference/python/openfermion/testing/random_unitary_matrix",
        "page:reference/python/openfermion/testing/retry_once_with_later_random_values",
        "page:reference/python/openfermion/testing/testing_utils",
        "page:reference/python/openfermion/testing/validate_trotterized_evolution",
        "page:reference/python/openfermion/testing/wrapped",
        "page:reference/python/openfermion/transforms",
        "page:reference/python/openfermion/transforms/FenwickNode",
        "page:reference/python/openfermion/transforms/FenwickTree",
        "page:reference/python/openfermion/transforms/StabilizerError",
        "page:reference/python/openfermion/transforms/binary_code_transform",
        "page:reference/python/openfermion/transforms/bravyi_kitaev",
        "page:reference/python/openfermion/transforms/bravyi_kitaev_code",
        "page:reference/python/openfermion/transforms/bravyi_kitaev_fast",
        "page:reference/python/openfermion/transforms/bravyi_kitaev_fast_edge_matrix",
        "page:reference/python/openfermion/transforms/bravyi_kitaev_fast_interaction_op",
        "page:reference/python/openfermion/transforms/bravyi_kitaev_tree",
        "page:reference/python/openfermion/transforms/check_commuting_stabilizers",
        "page:reference/python/openfermion/transforms/check_no_sympy",
        "page:reference/python/openfermion/transforms/check_stabilizer_linearity",
        "page:reference/python/openfermion/transforms/checksum_code",
        "page:reference/python/openfermion/transforms/chemist_ordered",
        "page:reference/python/openfermion/transforms/commutator_ordered_diagonal_coulomb_with_two_body_operator",
        "page:reference/python/openfermion/transforms/fix_single_term",
        "page:reference/python/openfermion/transforms/fourier_transform",
        "page:reference/python/openfermion/transforms/freeze_orbitals",
        "page:reference/python/openfermion/transforms/get_boson_operator",
        "page:reference/python/openfermion/transforms/get_diagonal_coulomb_hamiltonian",
        "page:reference/python/openfermion/transforms/get_fermion_operator",
        "page:reference/python/openfermion/transforms/get_interaction_operator",
        "page:reference/python/openfermion/transforms/get_majorana_operator",
        "page:reference/python/openfermion/transforms/get_molecular_data",
        "page:reference/python/openfermion/transforms/get_quad_operator",
        "page:reference/python/openfermion/transforms/get_quadratic_hamiltonian",
        "page:reference/python/openfermion/transforms/interleaved_code",
        "page:reference/python/openfermion/transforms/inverse_fourier_transform",
        "page:reference/python/openfermion/transforms/jordan_wigner",
        "page:reference/python/openfermion/transforms/jordan_wigner_code",
        "page:reference/python/openfermion/transforms/jordan_wigner_one_body",
        "page:reference/python/openfermion/transforms/jordan_wigner_two_body",
        "page:reference/python/openfermion/transforms/linearize_decoder",
        "page:reference/python/openfermion/transforms/mccoy",
        "page:reference/python/openfermion/transforms/normal_ordered",
        "page:reference/python/openfermion/transforms/normal_ordered_ladder_term",
        "page:reference/python/openfermion/transforms/normal_ordered_quad_term",
        "page:reference/python/openfermion/transforms/opconversions",
        "page:reference/python/openfermion/transforms/opconversions/binary_codes",
        "page:reference/python/openfermion/transforms/opconversions/bksf",
        "page:reference/python/openfermion/transforms/opconversions/commutator_diagonal_coulomb_operator",
        "page:reference/python/openfermion/transforms/opconversions/conversions",
        "page:reference/python/openfermion/transforms/opconversions/dissolve",
        "page:reference/python/openfermion/transforms/opconversions/edge_operator_aij",
        "page:reference/python/openfermion/transforms/opconversions/edge_operator_b",
        "page:reference/python/openfermion/transforms/opconversions/edit_hamiltonian_for_spin",
        "page:reference/python/openfermion/transforms/opconversions/extractor",
        "page:reference/python/openfermion/transforms/opconversions/fenwick_tree",
        "page:reference/python/openfermion/transforms/opconversions/generate_fermions",
        "page:reference/python/openfermion/transforms/opconversions/inline_product",
        "page:reference/python/openfermion/transforms/opconversions/inline_sum",
        "page:reference/python/openfermion/transforms/opconversions/make_parity_list",
        "page:reference/python/openfermion/transforms/opconversions/number_operator",
        "page:reference/python/openfermion/transforms/opconversions/qubitoperator_to_paulisum",
        "page:reference/python/openfermion/transforms/opconversions/remove_symmetry_qubits",
        "page:reference/python/openfermion/transforms/opconversions/remove_symmetry_qubits/remove_indices",
        "page:reference/python/openfermion/transforms/opconversions/term_reordering",
        "page:reference/python/openfermion/transforms/opconversions/vacuum_operator",
        "page:reference/python/openfermion/transforms/opconversions/verstraete_cirac",
        "page:reference/python/openfermion/transforms/opconversions/verstraete_cirac/auxiliary_graph_2d_square",
        "page:reference/python/openfermion/transforms/opconversions/verstraete_cirac/coordinates_to_snake_index",
        "page:reference/python/openfermion/transforms/opconversions/verstraete_cirac/expand_aux_index",
        "page:reference/python/openfermion/transforms/opconversions/verstraete_cirac/expand_sys_index",
        "page:reference/python/openfermion/transforms/opconversions/verstraete_cirac/lexicographic_index_to_snake_index",
        "page:reference/python/openfermion/transforms/opconversions/verstraete_cirac/row_indices_snake",
        "page:reference/python/openfermion/transforms/opconversions/verstraete_cirac/snake_index_to_coordinates",
        "page:reference/python/openfermion/transforms/opconversions/verstraete_cirac/stabilizer",
        "page:reference/python/openfermion/transforms/opconversions/verstraete_cirac/stabilizer_local_2d_square",
        "page:reference/python/openfermion/transforms/parity_code",
        "page:reference/python/openfermion/transforms/project_onto_sector",
        "page:reference/python/openfermion/transforms/projection_error",
        "page:reference/python/openfermion/transforms/prune_unused_indices",
        "page:reference/python/openfermion/transforms/qubit_operator_to_pauli_sum",
        "page:reference/python/openfermion/transforms/reduce_number_of_terms",
        "page:reference/python/openfermion/transforms/reorder",
        "page:reference/python/openfermion/transforms/repconversions",
        "page:reference/python/openfermion/transforms/repconversions/conversions",
        "page:reference/python/openfermion/transforms/repconversions/fourier_transforms",
        "page:reference/python/openfermion/transforms/repconversions/operator_tapering",
        "page:reference/python/openfermion/transforms/repconversions/qubit_operator_transforms",
        "page:reference/python/openfermion/transforms/repconversions/qubit_tapering_from_stabilizer",
        "page:reference/python/openfermion/transforms/repconversions/weyl_ordering",
        "page:reference/python/openfermion/transforms/repconversions/weyl_ordering/binom",
        "page:reference/python/openfermion/transforms/reverse_jordan_wigner",
        "page:reference/python/openfermion/transforms/rotate_qubit_by_pauli",
        "page:reference/python/openfermion/transforms/symmetric_ordering",
        "page:reference/python/openfermion/transforms/symmetry_conserving_bravyi_kitaev",
        "page:reference/python/openfermion/transforms/taper_off_qubits",
        "page:reference/python/openfermion/transforms/verstraete_cirac_2d_square",
        "page:reference/python/openfermion/transforms/vertical_edges_snake",
        "page:reference/python/openfermion/transforms/weight_one_binary_addressing_code",
        "page:reference/python/openfermion/transforms/weight_one_segment_code",
        "page:reference/python/openfermion/transforms/weight_two_segment_code",
        "page:reference/python/openfermion/transforms/weyl_polynomial_quantization",
        "page:reference/python/openfermion/utils",
        "page:reference/python/openfermion/utils/Grid",
        "page:reference/python/openfermion/utils/HubbardLattice",
        "page:reference/python/openfermion/utils/HubbardSquareLattice",
        "page:reference/python/openfermion/utils/OperatorSpecificationError",
        "page:reference/python/openfermion/utils/OperatorUtilsError",
        "page:reference/python/openfermion/utils/Spin",
        "page:reference/python/openfermion/utils/SpinPairs",
        "page:reference/python/openfermion/utils/amplitude_damping_channel",
        "page:reference/python/openfermion/utils/anticommutator",
        "page:reference/python/openfermion/utils/bch_expand",
        "page:reference/python/openfermion/utils/bch_expansion",
        "page:reference/python/openfermion/utils/channel_state",
        "page:reference/python/openfermion/utils/channel_state/array",
        "page:reference/python/openfermion/utils/channel_state/dot",
        "page:reference/python/openfermion/utils/channel_state/kron",
        "page:reference/python/openfermion/utils/channel_state/log2",
        "page:reference/python/openfermion/utils/channel_state/sqrt",
        "page:reference/python/openfermion/utils/commutator",
        "page:reference/python/openfermion/utils/commutators",
        "page:reference/python/openfermion/utils/count_qubits",
        "page:reference/python/openfermion/utils/dephasing_channel",
        "page:reference/python/openfermion/utils/depolarizing_channel",
        "page:reference/python/openfermion/utils/double_commutator",
        "page:reference/python/openfermion/utils/down_index",
        "page:reference/python/openfermion/utils/get_file_path",
        "page:reference/python/openfermion/utils/grid",
        "page:reference/python/openfermion/utils/grid/OrbitalSpecificationError",
        "page:reference/python/openfermion/utils/hermitian_conjugated",
        "page:reference/python/openfermion/utils/indexing",
        "page:reference/python/openfermion/utils/is_hermitian",
        "page:reference/python/openfermion/utils/is_identity",
        "page:reference/python/openfermion/utils/kronecker_delta",
        "page:reference/python/openfermion/utils/lattice",
        "page:reference/python/openfermion/utils/load_operator",
        "page:reference/python/openfermion/utils/map_one_hole_dm_to_one_pdm",
        "page:reference/python/openfermion/utils/map_one_pdm_to_one_hole_dm",
        "page:reference/python/openfermion/utils/map_particle_hole_dm_to_one_pdm",
        "page:reference/python/openfermion/utils/map_particle_hole_dm_to_two_pdm",
        "page:reference/python/openfermion/utils/map_two_hole_dm_to_one_hole_dm",
        "page:reference/python/openfermion/utils/map_two_hole_dm_to_two_pdm",
        "page:reference/python/openfermion/utils/map_two_pdm_to_one_pdm",
        "page:reference/python/openfermion/utils/map_two_pdm_to_particle_hole_dm",
        "page:reference/python/openfermion/utils/map_two_pdm_to_two_hole_dm",
        "page:reference/python/openfermion/utils/operator_utils",
        "page:reference/python/openfermion/utils/rdm_mapping_functions",
        "page:reference/python/openfermion/utils/save_operator",
        "page:reference/python/openfermion/utils/trivially_commutes_dual_basis",
        "page:reference/python/openfermion/utils/trivially_double_commutes_dual_basis",
        "page:reference/python/openfermion/utils/trivially_double_commutes_dual_basis_using_term_info",
        "page:reference/python/openfermion/utils/up_index",
        "page:reference/python/openfermion/utils/up_then_down",
        "page:reference/python/qsimcirq",
        "page:reference/python/qsimcirq/QSimCircuit",
        "page:reference/python/qsimcirq/QSimOptions",
        "page:reference/python/qsimcirq/QSimSimulator",
        "page:reference/python/qsimcirq/QSimhSimulator",
        "page:reference/python/qsimcirq/add_op_to_circuit",
        "page:reference/python/qsimcirq/add_op_to_opstring",
        "page:reference/python/qsimcirq/all_symbols",
        "page:reference/python/qsimcirq/qsim",
        "page:reference/python/qsimcirq/qsim/Circuit",
        "page:reference/python/qsimcirq/qsim/GateKind",
        "page:reference/python/qsimcirq/qsim/NoisyCircuit",
        "page:reference/python/qsimcirq/qsim/OpString",
        "page:reference/python/qsimcirq/qsim/add_channel",
        "page:reference/python/qsimcirq/qsim/add_diagonal_gate",
        "page:reference/python/qsimcirq/qsim/add_diagonal_gate_channel",
        "page:reference/python/qsimcirq/qsim/add_gate",
        "page:reference/python/qsimcirq/qsim/add_gate_channel",
        "page:reference/python/qsimcirq/qsim/add_gate_to_opstring",
        "page:reference/python/qsimcirq/qsim/add_matrix_gate",
        "page:reference/python/qsimcirq/qsim/add_matrix_gate_channel",
        "page:reference/python/qsimcirq/qsim/add_matrix_gate_to_opstring",
        "page:reference/python/qsimcirq/qsim/control_last_gate",
        "page:reference/python/qsimcirq/qsim/control_last_gate_channel",
        "page:reference/python/qsimcirq/qsim/qsim_sample",
        "page:reference/python/qsimcirq/qsim/qsim_sample_final",
        "page:reference/python/qsimcirq/qsim/qsim_simulate",
        "page:reference/python/qsimcirq/qsim/qsim_simulate_expectation_values",
        "page:reference/python/qsimcirq/qsim/qsim_simulate_fullstate",
        "page:reference/python/qsimcirq/qsim/qsim_simulate_moment_expectation_values",
        "page:reference/python/qsimcirq/qsim/qsimh_simulate",
        "page:reference/python/qsimcirq/qsim/qtrajectory_sample",
        "page:reference/python/qsimcirq/qsim/qtrajectory_sample_final",
        "page:reference/python/qsimcirq/qsim/qtrajectory_simulate",
        "page:reference/python/qsimcirq/qsim/qtrajectory_simulate_expectation_values",
        "page:reference/python/qsimcirq/qsim/qtrajectory_simulate_fullstate",
        "page:reference/python/qsimcirq/qsim/qtrajectory_simulate_moment_expectation_values",
        "page:reference/python/qsimcirq/qsim_decide",
        "page:reference/python/qsimcirq/qsim_decide/detect_custatevec",
        "page:reference/python/qsimcirq/qsim_decide/detect_gpu",
        "page:reference/python/qsimcirq/qsim_decide/detect_instructions"
      ]
    },
    "payload": {
      "collections": {
        "pages": {
          "versions": {
            "drafts": {
              "autosave": true
            },
            "maxPerDoc": 0
          }
        }
      },
      "overRaid": "a version is a docket entry (fold address + SHA-256), its prev the earlier version; both answer by address, so a reader on either version reads whole; a draft is a commitment entry, publishing reveals it into the same address"
    },
    "quantum": "versions coexist: every block and page is addressed by content, the service worker keeps a shell per version, the ETag is the content hash, so an earlier version's addresses answer beside the new one's and nothing is invalidated by a release"
  },
  "torus": {
    "address": "406590c4-4229-8049-98d1-c32700b69311",
    "seed": 8,
    "reflection": 2,
    "trinity": [
      2,
      5,
      8
    ],
    "closed": true,
    "bytes": 138912
  }
}

configure · configure-migration

A provider added or moved at 100 % uptime: deploy beside, mirror the docket by address, decode old and new as copies through the gate, route, and the rollback is the earlier version still answering.

{"name":"configure","arguments":{"kind":"migration"}}

✓ as expected

configure · MCP configures Payload and the rest: Payload's default plugins (lexical with the one qpu block, nested-docs, seo, search, redirects, form-builder, multi-tenant, mcp) in all their combinations with no custom collection; the Worker's wrangler configuration from the tenants; each tenant's variable names (never values); the PWA manifest; the MCP registration. Every configuration carries its torus: address, seed, reflection and trinity, and whether the loop closes (config → text → config at the same address). With current (the text a client holds), the drift: every path that differs, each a lead. Without kind: all of them, tested.

kind

migration

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "kind": "migration",
  "config": {
    "uptime": "100 %: no address is moved, so no reader waits",
    "providers": [
      "https://qpu.uuidna.com/mcp",
      "https://qpu.psg.bg/mcp",
      "https://qpu.ceci.workers.dev/mcp"
    ],
    "addProvider": "deploy the same Worker at the new provider; name its endpoint among the gate's hosts (QPU_E2E_HOSTS) and among the tenant's MCP hosts; the docket mirrors heal by address; the gate decodes old and new as copies of one value",
    "steps": [
      {
        "step": 1,
        "name": "deploy beside",
        "does": "the new version is deployed beside the old one; both answer every address (content addressing, ETag by content, a shell per version in the service worker)"
      },
      {
        "step": 2,
        "name": "mirror",
        "does": "the docket of each tenant is mirrored to the new provider by address; a missing entry heals from any mirror"
      },
      {
        "step": 3,
        "name": "decode",
        "does": "the e2e gate calls every combination on old and new hosts and decodes them as copies of one logical value; the migration is finished when every combination agrees and no erasure remains; a flip is a lead, never a cut-over"
      },
      {
        "step": 4,
        "name": "route",
        "does": "the custom domains point at the new provider; the old one keeps answering until the gate has agreed once more from the new route"
      },
      {
        "step": 5,
        "name": "rollback",
        "does": "the earlier version's addresses still answer: routing back is the whole rollback"
      }
    ],
    "measuredBy": "the e2e gate: versions per host, outcomes per combination, erasures per host; uptime is whole while every combination agrees"
  },
  "torus": {
    "address": "f38ceaa2-3d5b-129a-ab77-2af7187e78ca",
    "seed": 4,
    "reflection": 6,
    "trinity": [
      7,
      4,
      1
    ],
    "closed": true,
    "bytes": 1434
  }
}

configure · configure-api

The QPU's API overview as data, the way platform.claude.com's overview is one for the Claude API: one MCP endpoint and every surface around it, the headers, the authorization (none for every pure tool), the content addressing and its involution, the tools by toolbox, the MCP connector for Claude and for any client, quick tests, limits and errors; docs/api.md is written from it.

{"name":"configure","arguments":{"kind":"api"}}

✓ as expected

configure · MCP configures Payload and the rest: Payload's default plugins (lexical with the one qpu block, nested-docs, seo, search, redirects, form-builder, multi-tenant, mcp) in all their combinations with no custom collection; the Worker's wrangler configuration from the tenants; each tenant's variable names (never values); the PWA manifest; the MCP registration. Every configuration carries its torus: address, seed, reflection and trinity, and whether the loop closes (config → text → config at the same address). With current (the text a client holds), the drift: every path that differs, each a lead. Without kind: all of them, tested.

kind

api

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "kind": "api",
  "config": {
    "name": "@uuidna/qpu",
    "version": "1.4.0",
    "origin": "https://qpu.uuidna.com",
    "hosts": [
      "https://qpu.uuidna.com",
      "https://qpu.psg.bg",
      "https://qpu.ceci.workers.dev"
    ],
    "architecture": "Everything goes through one MCP endpoint: POST /mcp takes JSON-RPC 2.0 (initialize, tools/list, tools/call); every tools/call result is a block addressed by its content, and every other surface serves or carries blocks. No hardware, no network inside the tools, nothing factored beyond N ≤ 21.",
    "endpoints": [
      {
        "method": "POST",
        "path": "/mcp",
        "takes": "JSON-RPC 2.0: initialize, tools/list, tools/call { name, arguments }",
        "answers": "the result with structuredContent and _meta (widget, block, theme, jsonLd, payload, license); ETag the content hash, X-Qpu-Address the block address, X-Qpu-Version",
        "auth": "none for every pure tool; a tenant's tokens only for the docket",
        "errors": "JSON-RPC -32601 (no such tool or method), -32602 (invalid params, with the bound the schema names), -32700 (parse error)"
      },
      {
        "method": "GET",
        "path": "/.well-known/qpu.json",
        "takes": "nothing",
        "answers": "the discovery document: mcp, docket, methods, tools, bounds, version, tenants, mcpHosts, roles, licence, the reverse (the unit)",
        "auth": "none"
      },
      {
        "method": "GET",
        "path": "/",
        "takes": "accept: application/json for the discovery document; otherwise the web OS",
        "answers": "the discovery document or the site",
        "auth": "none"
      },
      {
        "method": "GET",
        "path": "/<uuid> or /u/<uuid>",
        "takes": "a content-addressed v8 UUID",
        "answers": "the block's page (the widget, prev and next, the theme from the UUID); immutable, ETag the address, 304 to If-None-Match",
        "auth": "none"
      },
      {
        "method": "GET",
        "path": "/docket",
        "takes": "?kind=&since=",
        "answers": "the tenant's entries (one docket per tenant host)",
        "auth": "none to read"
      },
      {
        "method": "GET",
        "path": "/docket/<id>",
        "takes": "an entry id; ?cheap, ?heal",
        "answers": "the entry, healed from a mirror by address when missing",
        "auth": "none to read"
      },
      {
        "method": "POST",
        "path": "/docket",
        "takes": "{ kind, from, body, links? } or a commitment { kind, from, address, sha256 }",
        "answers": "201 with the entry id (content address); 400 on shape, 413 above the entry bound",
        "auth": "Bearer: the tenant's writer token (QPU_WRITE_TOKEN_<TENANT>) or the RBAC MCP host's role"
      },
      {
        "method": "DELETE",
        "path": "/docket/<id>",
        "takes": "an entry id",
        "answers": "the entry gone",
        "auth": "Bearer: the tenant's admin token"
      },
      {
        "method": "POST",
        "path": "/docket/stripe",
        "takes": "a Stripe webhook, signed",
        "answers": "the event as an entry, idempotent",
        "auth": "STRIPE_WEBHOOK_SECRET_<TENANT>"
      },
      {
        "method": "GET",
        "path": "/health",
        "takes": "nothing",
        "answers": "status, tenant, licence and the metrics computed now",
        "auth": "none"
      }
    ],
    "headers": {
      "request": [
        "content-type: application/json",
        "accept: application/json or text/event-stream",
        "if-none-match: \"<content hash>\" — a 304 answers with no body when the block is the one held",
        "authorization: Bearer <tenant token> (the docket's writes only)"
      ],
      "response": [
        "etag: the content hash of the result (the clock masked)",
        "x-qpu-address: the block address (uuidOf(tool + arguments))",
        "x-qpu-version",
        "cache-control: public, max-age=31536000, immutable on addressed replies",
        "link: <https://uuidna.com/license>; rel=\"license\""
      ]
    },
    "authorization": {
      "pure": "every tool answers without a credential: the tools are pure functions of their arguments",
      "docket": "roles reader, writer, admin per tenant: the RBAC MCP host first (QPU_RBAC_MCP, QPU_RBAC_TOOL), else the tenant's tokens by name; a token at another tenant's host holds no role there",
      "never": "no key, token or secret travels through a tool; the client sends them, the tools name them"
    },
    "contentAddressing": {
      "address": "uuidOf(tool + JSON(arguments)): the same arguments at any host give the same address",
      "hash": "the content hash of the result with the clock masked: the same code gives the same hash at any host",
      "involution": "a request naming the hash with If-None-Match is answered 304: the analog is verified digitally at the destination, nothing computed or sent",
      "versions": "versions coexist: an earlier version's addresses answer beside the new one's"
    },
    "tools": [
      {
        "name": "processor",
        "toolbox": "google",
        "description": "A Google Quantum AI processor as its spec sheet states it: qubits, the grid, the two chips, and the magic-state figures."
      },
      {
        "name": "circuit",
        "toolbox": "google",
        "description": "Compile a circuit from its operations, placed by an insert strategy, and simulate it. Without noise or observables: the "
      },
      {
        "name": "echo",
        "toolbox": "google",
        "description": "Quantum Echoes: run the operations forward, perturb once, run them back, and return the probability that every qubit ret"
      },
      {
        "name": "echo_benchmark",
        "toolbox": "google",
        "description": "The Quantum Echoes result as Google states it: the processor, its qubits, the speedup, and the molecules."
      },
      {
        "name": "roadmap",
        "toolbox": "google",
        "description": "The Google Quantum AI roadmap: its six milestones, their physical-qubit scale, and which are achieved or in progress. Wi"
      },
      {
        "name": "algorithm",
        "toolbox": "google",
        "description": "The textbook algorithms of the Cirq page: qft and inverse_qft (on 1 to 6 qubits, from input x), phase_estimation (of θ w"
      },
      {
        "name": "software",
        "toolbox": "google",
        "description": "The open-source tools of the Google Quantum AI Software page, as the page describes them. Only Cirq is implemented in th"
      },
      {
        "name": "statements",
        "toolbox": "google",
        "description": "The statements quantumai.google, its PDFs and the quantumlib repositories make, each as the page states it: Cirq, the de"
      },
      {
        "name": "repositories",
        "toolbox": "google",
        "description": "The repositories of the quantumlib GitHub organization, as its list states them: name, description and primary language."
      },
      {
        "name": "quantumlib",
        "toolbox": "google",
        "description": "The fifteen repositories of the quantumlib GitHub organization, each with what this repository implements of it: the exp"
      },
      {
        "name": "quantum-error-correction",
        "toolbox": "google",
        "description": "The three-qubit repetition code, simulated on the density matrix: a logical qubit encoded, a channel (bit_flip, phase_fl"
      },
      {
        "name": "chemistry-simulation",
        "toolbox": "google",
        "description": "Molecular hydrogen in STO-3G as a variational energy evaluation on the simulator: the integrals are computed here from t"
      },
      {
        "name": "fault-tolerant-design",
        "toolbox": "google",
        "description": "Resource counts read from the circuits this repository builds: the QFT on n qubits, Grover, teleportation, Shor for N up"
      },
      {
        "name": "leads",
        "toolbox": "tree",
        "description": "Every lead on quantumai.google (every page of its sitemap, read whole), its PDFs and the quantumlib repositories, with i"
      },
      {
        "name": "audit",
        "toolbox": "tree",
        "description": "The surface audits itself through tools/call: every tool has a schema and an example, every documented example replays a"
      },
      {
        "name": "match",
        "toolbox": "tree",
        "description": "Any statement, matched against everything the surface can do. served: a call answers it and is returned. impossible: the"
      },
      {
        "name": "clay",
        "toolbox": "tree",
        "description": "The Clay register recomputed in exact integer arithmetic: the Lean definitions of Qpu/Clay.lean and its imports ported o"
      },
      {
        "name": "verify",
        "toolbox": "tree",
        "description": "Cheap verification of one UUID: its seal (the version nibble the other 31 nibbles decide, one modular power, no content "
      },
      {
        "name": "metrics",
        "toolbox": "tree",
        "description": "The computable metrics of this tree in real time: tools and toolboxes, examples and how many name the kernel-accepted th"
      },
      {
        "name": "textbook",
        "toolbox": "tree",
        "description": "The QPU textbook as an adapter: every example categorised for reuse — by toolbox, by tool, by the kernel-accepted theore"
      },
      {
        "name": "css",
        "toolbox": "tree",
        "description": "The quantum UI as CSS alone: the stylesheet derived from the key 432 (the harmonics, and the rules that draw every block"
      },
      {
        "name": "dashboard",
        "toolbox": "tree",
        "description": "A bounded tool laid out whole, so the user's decision in the UI is final: every value each property admits (an enum, a b"
      },
      {
        "name": "clone",
        "toolbox": "tree",
        "description": "A toolbox cloned whole: its toolset (every tool's name, description and schema), its skillset (idea, instructions, direc"
      },
      {
        "name": "discover",
        "toolbox": "flow",
        "description": "Discovery before use. Without answers: every request the client must make for the contracts of the hosts this tree talks"
      },
      {
        "name": "wave",
        "toolbox": "flow",
        "description": "The verification wave. Without results: every request the surface's leads and tree facts need, once per URL with the lea"
      },
      {
        "name": "readiness",
        "toolbox": "flow",
        "description": "The unit judges the tree. Phase one (verification, discovery, present, ledger): every lead judged by measurement into se"
      },
      {
        "name": "imagine",
        "toolbox": "flow",
        "description": "Imagination leads all leads: every lead (or the subset named) matched with the reflection on — hidden factors, angles, m"
      },
      {
        "name": "e2e",
        "toolbox": "flow",
        "description": "The end-to-end gate as a repetition code. Without answers: every combination the dashboards lay out and every example of"
      },
      {
        "name": "translate",
        "toolbox": "language",
        "description": "Translation by vocabulary, offline, both ways: text, from, to. A word no table knows stays as it is and is reported, nev"
      },
      {
        "name": "prose",
        "toolbox": "language",
        "description": "Programmable prose: call a tool with its arguments and render its result as sentences in a locale — the toolbox's idea, "
      },
      {
        "name": "mongo",
        "toolbox": "raid",
        "description": "The ported MongoDB over the docket, pure. find: {collection, docs, filter, sort, skip, limit} → the matching documents ("
      },
      {
        "name": "stripe",
        "toolbox": "billing",
        "description": "Stripe per tenant, pure, the QPU as a product with its variants. catalogue: every product and variant (domain, tenant, s"
      },
      {
        "name": "legal",
        "toolbox": "legal",
        "description": "The full legal and security audit with forensic analysis, through MCP. Phase one (texts, discovery, agents?, theoremKeys"
      },
      {
        "name": "repository",
        "toolbox": "repository",
        "description": "Workspaces, branches, tags and releases watched and verified online, pure. Phase one (local): the requests to GitHub (br"
      },
      {
        "name": "jsonld",
        "toolbox": "standards",
        "description": "schema.org JSON-LD, pure: for a block (tool, id, description), a page (url, title, description, uuid?) or an offer of th"
      },
      {
        "name": "codes",
        "toolbox": "standards",
        "description": "The tree's ISO codes validated against the CLDR lists a client fetched (languages ISO 639, currencies ISO 4217, territor"
      },
      {
        "name": "payload",
        "toolbox": "payload",
        "description": "Any tool's result as the document Payload's default plugins hold, no custom collection: a lexical document whose one blo"
      },
      {
        "name": "configure",
        "toolbox": "payload",
        "description": "MCP configures Payload and the rest: Payload's default plugins (lexical with the one qpu block, nested-docs, seo, search"
      },
      {
        "name": "extend",
        "toolbox": "extension",
        "description": "QPU as the natural extension of every MCP and every MCP of QPU. Inward (host, tools): the host's tools/list read into do"
      },
      {
        "name": "fold",
        "toolbox": "crypto",
        "description": "The split folds: a payload larger than a place can hold is folded into pieces under the bound (bytes), each addressed by"
      },
      {
        "name": "seal",
        "toolbox": "crypto",
        "description": "SHA-256 of a text, and HMAC-SHA256 under a key the caller gives (a test key; a tenant's secret never travels here), pure"
      }
    ],
    "toolboxes": [
      "google",
      "tree",
      "flow",
      "language",
      "raid",
      "billing",
      "legal",
      "repository",
      "standards",
      "payload",
      "extension",
      "crypto"
    ],
    "mcpConnector": {
      "claude": {
        "endpoint": "https://api.anthropic.com/v1/messages",
        "betas": [
          "mcp-client-2025-11-20"
        ],
        "mcp_servers": [
          {
            "type": "url",
            "url": "https://qpu.uuidna.com/mcp",
            "name": "qpu"
          }
        ],
        "tools": [
          {
            "type": "mcp_toolset",
            "mcp_server_name": "qpu"
          }
        ]
      },
      "any": {
        "mcpServers": {
          "qpu": {
            "url": "https://qpu.uuidna.com/mcp"
          }
        }
      }
    },
    "quickTests": [
      {
        "says": "list the tools",
        "curl": "curl -s https://qpu.uuidna.com/mcp -X POST -H 'content-type: application/json' -d '{\"jsonrpc\":\"2.0\",\"id\":1,\"method\":\"tools/list\"}'"
      },
      {
        "says": "the Clay register read by reflection",
        "curl": "curl -s https://qpu.uuidna.com/mcp -X POST -H 'content-type: application/json' -d '{\"jsonrpc\":\"2.0\",\"id\":1,\"method\":\"tools/call\",\"params\":{\"name\":\"clay\",\"arguments\":{\"technique\":\"reflection\"}}}'"
      },
      {
        "says": "the involution: ask with the hash and receive 304",
        "curl": "curl -si https://qpu.uuidna.com/mcp -X POST -H 'content-type: application/json' -H 'if-none-match: \"<etag of the reply above>\"' -d '{\"jsonrpc\":\"2.0\",\"id\":1,\"method\":\"tools/call\",\"params\":{\"name\":\"clay\",\"arguments\":{\"technique\":\"reflection\"}}}'"
      },
      {
        "says": "the discovery document",
        "curl": "curl -s https://qpu.uuidna.com/.well-known/qpu.json"
      }
    ],
    "limits": {
      "shorN": 21,
      "qubits": 6,
      "entry": "the docket's entry bound (413 above it; fold splits what a place cannot hold)",
      "quantum": "a client's run stops at QPU_QUANTUM_MS and keeps what it settled"
    },
    "errors": [
      {
        "code": -32601,
        "means": "no such tool or method; the answer names the tools"
      },
      {
        "code": -32602,
        "means": "invalid params; the answer names the bound the schema sets"
      },
      {
        "code": -32700,
        "means": "parse error"
      },
      {
        "http": 304,
        "means": "the block held is the block asked: nothing sent"
      },
      {
        "http": 400,
        "means": "an entry's shape refused, named"
      },
      {
        "http": 401,
        "means": "a token with no role at this tenant"
      },
      {
        "http": 413,
        "means": "an entry above the bound: fold it"
      }
    ]
  },
  "torus": {
    "address": "002d3592-1de1-1b0c-8c5b-c40c5641fae3",
    "seed": 2,
    "reflection": 8,
    "trinity": [
      2,
      5,
      8
    ],
    "closed": true,
    "bytes": 13265
  }
}

configure · configure-fullstack

QPU's full stack from the source of payloadcms.com (MIT): its twelve collections, thirty blocks, globals and fields kept, the qpu block added, search, multi-tenant and mcp added to its four plugins, the database the RAID, storage and deploy at Cloudflare; two source files and a README generated for the fork.

{"name":"configure","arguments":{"kind":"fullstack"}}

✓ as expected

configure · MCP configures Payload and the rest: Payload's default plugins (lexical with the one qpu block, nested-docs, seo, search, redirects, form-builder, multi-tenant, mcp) in all their combinations with no custom collection; the Worker's wrangler configuration from the tenants; each tenant's variable names (never values); the PWA manifest; the MCP registration. Every configuration carries its torus: address, seed, reflection and trinity, and whether the loop closes (config → text → config at the same address). With current (the text a client holds), the drift: every path that differs, each a lead. Without kind: all of them, tested.

kind

fullstack

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "kind": "fullstack",
  "config": {
    "repository": "https://github.com/payloadcms/website",
    "licence": "MIT",
    "qpuLicence": "CC-BY-NC-ND-4.0",
    "keep": {
      "collections": [
        "CaseStudies",
        "Categories",
        "CommunityHelp",
        "Docs",
        "DocsFeedback",
        "Media",
        "Pages",
        "PartnerFilters",
        "Partners",
        "Posts",
        "ReusableContent",
        "Users"
      ],
      "blocks": [
        "Banner",
        "BlogContent",
        "BlogMarkdown",
        "CallToAction",
        "Callout",
        "CardGrid",
        "CaseStudiesHighlight",
        "CaseStudyCards",
        "CaseStudyParallax",
        "Code",
        "CodeFeature",
        "ComparisonTable",
        "Content",
        "ContentGrid",
        "Download",
        "ExampleTabs",
        "Form",
        "HoverCards",
        "HoverHighlights",
        "LinkGrid",
        "LogoGrid",
        "Media",
        "MediaContent",
        "MediaContentAccordion",
        "Pricing",
        "ReusableContent",
        "Slider",
        "Statement",
        "Steps",
        "StickyHighlights"
      ],
      "globals": [
        "Footer",
        "GetStarted",
        "MainMenu",
        "PartnerProgram",
        "TopBar"
      ],
      "fields": [
        "addToDocs",
        "blockFields",
        "codeBlips",
        "fullTitle",
        "hero",
        "link",
        "linkGroup",
        "livestreamFields",
        "richText",
        "slug"
      ],
      "plugins": [
        "form-builder",
        "nested-docs",
        "redirects",
        "seo"
      ]
    },
    "add": {
      "block": "qpu",
      "plugins": [
        "search",
        "multi-tenant",
        "mcp"
      ],
      "database": "db-mongodb over the RAID docket (the mongo tool's language)",
      "storage": "Cloudflare R2 through the bindings MCP (the tenant's token)",
      "deploy": "Cloudflare Workers beside this Worker (run_worker_first keeps /mcp, /docket, /.well-known)",
      "tenants": [
        "uuidna",
        "psg"
      ]
    },
    "files": {
      "fullstack/src/blocks/Qpu/config.ts": "// Tsvetan Rouschev, @uuidna/qpu, CC-BY-NC-ND-4.0 (https://orcid.org/0009-0000-7312-9778)\n// Added to the MIT fork of payloadcms/website (Copyright (c) 2023 Payload); this file is QPU's: see NOTICE.qpu.md.\n// The qpu block: one lexical/layout block of programmable UUID logic, the shape every tools/call result already carries in _meta.payload.\nimport type { Block } from 'payload'\nexport const Qpu: Block = {\n  slug: 'qpu',\n  interfaceName: 'QpuBlock',\n  fields: [\n    { name: 'uuid', type: 'text', required: true, admin: { description: 'the block address: a content-addressed RFC 9562 v8 UUID' } },\n    { name: 'handle', type: 'text', required: true },\n    { name: 'program', type: 'text', required: true, admin: { description: 'the hex program (the version and variant nibbles rotated)' } },\n    { name: 'tail', type: 'text', required: true },\n    { name: 'tool', type: 'text', required: true, admin: { description: 'the tool whose result this block is' } },\n    { name: 'arguments', type: 'json', admin: { description: 'the arguments, so the block recomputes anywhere' } },\n    { name: 'prev', type: 'text', admin: { description: 'the referer block' } },\n    { name: 'next', type: 'text', admin: { description: 'the program rotated: the next step' } },\n    { name: 'theorem', type: 'text', admin: { description: 'the kernel-accepted theorem that makes this block true; written by the QPU as a client of this MCP, read from the textbook' } },\n  ],\n}\n",
      "fullstack/src/payload.qpu.config.ts": "// Tsvetan Rouschev, @uuidna/qpu, CC-BY-NC-ND-4.0 (https://orcid.org/0009-0000-7312-9778)\n// Added to the MIT fork of payloadcms/website (Copyright (c) 2023 Payload); this file is QPU's: see NOTICE.qpu.md.\n// QPU's full stack on the source of payloadcms.com (github.com/payloadcms/website, MIT): the qpu block beside the site's blocks, the\n// plugins MCP configures here that the site does not mount yet (its own four — form-builder, nested-docs, redirects, seo — stay as they are),\n// the database the RAID (the mongo tool's language over the docket). Generated by configure { kind: 'fullstack' }; imported by src/payload.config.ts.\nimport { searchPlugin } from '@payloadcms/plugin-search'\nimport { multiTenantPlugin } from '@payloadcms/plugin-multi-tenant'\nimport { Qpu } from './blocks/Qpu/config'\n\nexport const qpuBlocks = [Qpu] // beside the site's 30 blocks; referenced as 'qpu' in every layout\nexport const qpuPlugins = [\n  searchPlugin({ collections: ['pages', 'posts'] }),\n  multiTenantPlugin({ collections: { pages: {} }, tenantsSlug: 'tenants', userHasAccessToAllTenants: () => true } as never), // tenants: uuidna, psg\n]\nexport const qpuEnv = {\n  DATABASE_URI: \"the RAID docket of the tenant (the mongo tool's language), as the site's MongoDB\",\n  PAYLOAD_SECRET: \"the tenant's\",\n  R2: \"Cloudflare R2 through the bindings MCP once the tenant's token opens it (the site's vercel-blob until then)\",\n  QPU_ORIGIN: \"https://qpu.uuidna.com: the Worker that computes every qpu block and every /u/<uuid> page\",\n}\n",
      "fullstack/README.md": "# QPU full stack\n\nThe source of payloadcms.com (MIT) is the full stack, forked under site/: its 12 collections, 30 blocks, 5 globals and 10 fields kept. Applied: `src/blocks/Qpu/config.ts` (the qpu block, the shape every tools/call result carries in _meta.payload), registered in payload.config blocks and the pages layout; `src/components/blocks/Qpu/index.tsx` (the renderer: the page asks the Worker for the block and carries its widget), mapped in RenderBlocks; `src/payload.qpu.config.ts` (search and multi-tenant beside the site's four plugins, the database the RAID); `src/collections/Tenants.ts` (the multi-tenant plugin's own collection: the hosts that name the tenants). The catch-all makes prefixes useless: next.config rewrites any path that is a UUID to the Worker's page before the catch-all, and /mcp, /docket and /.well-known to the Worker. Deploy at Cloudflare beside this Worker; every step at whole uptime: configure { kind: 'migration' }.\n",
      "fullstack/NOTICE.qpu.md": "# Licences in this fork\n\n- The fork itself is the MIT-licensed source of payloadcms.com (Copyright (c) 2023 Payload); its LICENSE file stands whole and every file of the original stays under it.\n- What QPU adds carries QPU's licence: Tsvetan Rouschev, @uuidna/qpu, CC-BY-NC-ND-4.0 (https://orcid.org/0009-0000-7312-9778) (https://creativecommons.org/licenses/by-nc-nd/4.0/). Each added file names it in its first line. The added files: src/blocks/Qpu/config.ts, src/components/blocks/Qpu/index.tsx, src/payload.qpu.config.ts, src/collections/Tenants.ts, the rewrites in next.config.js, README.qpu.md and this notice.\n- The two licences meet at the file boundary: MIT permits the fork and the additions; the additions' own terms apply to them alone; the combined site, served, carries both notices.\n"
    },
    "steps": [
      "fork payloadcms/website (MIT) under site/ — done",
      "register the qpu block (payload.config blocks, the pages layout, the RenderBlocks map under the @blocks alias), the tenants collection, spread qpuPlugins — done; the fork typechecks",
      "rewrite any UUID path and /mcp, /docket, /.well-known to the Worker before the catch-all — done",
      "point DATABASE_URI and PAYLOAD_SECRET at the tenant's (the build needs them beyond the tree)",
      "deploy at Cloudflare beside this Worker; the gate decodes old and new as copies; the old site is removed only then"
    ],
    "note": "generated text: a fork applies it; nothing here runs Payload"
  },
  "torus": {
    "address": "ddbb2616-2758-6fc1-b261-2976e33db9c5",
    "seed": 8,
    "reflection": 2,
    "trinity": [
      2,
      5,
      8
    ],
    "closed": true,
    "bytes": 6828
  }
}

configure · configure-all

Every configuration MCP computes, tested around the torus: Payload's plugins, the Worker, the tenants' variable names, the manifest, the registration, the versions, the migration, the full stack; each with its address, seed, reflection and trinity, every loop closed.

{"name":"configure","arguments":{}}

✓ as expected

configure · MCP configures Payload and the rest: Payload's default plugins (lexical with the one qpu block, nested-docs, seo, search, redirects, form-builder, multi-tenant, mcp) in all their combinations with no custom collection; the Worker's wrangler configuration from the tenants; each tenant's variable names (never values); the PWA manifest; the MCP registration. Every configuration carries its torus: address, seed, reflection and trinity, and whether the loop closes (config → text → config at the same address). With current (the text a client holds), the drift: every path that differs, each a lead. Without kind: all of them, tested.

kinds

9

tested

9

closed

true

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "kinds": 9,
  "tested": 9,
  "closed": true,
  "doubleTorus": {
    "inward": "config → text → config at the same address, every kind",
    "outward": "this catalogue → registration → doors → catalogue (extend identity)"
  },
  "byTrinity": {
    "258": [
      "wrangler",
      "fullstack",
      "api"
    ],
    "369": [
      "mcp",
      "versions"
    ],
    "741": [
      "payload",
      "tenant",
      "pwa",
      "migration"
    ]
  },
  "configs": [
    {
      "kind": "payload",
      "torus": {
        "address": "9e2f3a46-d551-7a26-9bbc-d0b81d9bc2be",
        "seed": 1,
        "reflection": 9,
        "trinity": [
          7,
          4,
          1
        ],
        "closed": true,
        "bytes": 1699
      },
      "config": {
        "collections": [
          {
            "slug": "pages",
            "fields": [
              "lexical",
              "tenant"
            ],
            "note": "the plugins' own collection; the fields are the plugins'"
          }
        ],
        "plugins": [
          {
            "lexical": {
              "package": "@payloadcms/richtext-lexical",
              "features": [
                "BlocksFeature"
              ],
              "blocks": [
                "qpu"
              ],
              "blockFields": [
                "uuid",
                "handle",
                "program",
                "tail",
                "tool",
                "arguments",
                "prev",
                "next"
              ]
            }
          },
          {
            "nested-docs": {
              "package": "@payloadcms/plugin-nested-docs",
              "collections": [
                "pages"
              ],
              "generateLabel": "the block's tool",
              "generateURL": "/u/<uuid>"
            }
          },
          {
            "seo": {
              "package": "@payloadcms/plugin-seo",
              "collections": [
                "pages"
              ],
              "uploadsCollection": null,
              "generateTitle": "og:title of the block",
              "generateDescription": "og:description of the block",
              "generateImage": "og:image of the block"
            }
          },
          {
            "search": {
              "package": "@payloadcms/plugin-search",
              "collections": [
                "pages"
              ],
              "searchOverrides": {
                "fields": [
                  "tool",
                  "uuid"
                ]
              }
            }
          },
          {
            "redirects": {
              "package": "@payloadcms/plugin-redirects",
              "collections": [
                "pages"
              ],
              "from": "/u/<prev>",
              "to": "/u/<next>"
            }
          },
          {
            "form-builder": {
              "package": "@payloadcms/plugin-form-builder",
              "fields": [
                "text",
                "select",
                "checkbox",
                "number"
              ],
              "note": "every tool's inputSchema is a form; the dashboard tool enumerates its facets"
            }
          },
          {
            "multi-tenant": {
              "package": "@payloadcms/plugin-multi-tenant",
              "tenants": [
                "uuidna",
                "psg"
              ],
              "tenantField": "tenant",
              "byHost": {
                "qpu.uuidna.com": "uuidna",
                "qpu.psg.bg": "psg"
              }
            }
          },
          {
            "mcp": {
              "package": "@payloadcms/plugin-mcp",
              "servers": "the registration extend gives (direction out), plus every host the tenant names",
              "rbac": "roles of every MCP server managed over MCP itself; the Worker asks this host first (QPU_RBAC_MCP, QPU_RBAC_TOOL)"
            }
          }
        ],
        "combinations": 256,
        "combinationNote": "every subset of the plugins is a configuration; the dashboard of this tool enumerates them by address"
      }
    },
    {
      "kind": "wrangler",
      "torus": {
        "address": "775bfca9-f529-5ca0-8248-8e39a0fe1bd4",
        "seed": 5,
        "reflection": 5,
        "trinity": [
          2,
          5,
          8
        ],
        "closed": true,
        "bytes": 547
      },
      "config": {
        "$schema": "node_modules/wrangler/config-schema.json",
        "name": "qpu",
        "main": "src/worker.ts",
        "compatibility_date": "2026-10-01",
        "workers_dev": true,
        "assets": {
          "directory": "./docs/.vitepress/dist",
          "binding": "ASSETS",
          "run_worker_first": true,
          "not_found_handling": "none"
        },
        "routes": [
          {
            "pattern": "qpu.uuidna.com",
            "custom_domain": true
          },
          {
            "pattern": "qpu.psg.bg",
            "custom_domain": true
          }
        ],
        "durable_objects": {
          "bindings": [
            {
              "name": "DOCKET",
              "class_name": "DocketObject"
            }
          ]
        },
        "migrations": [
          {
            "tag": "v1",
            "new_sqlite_classes": [
              "DocketObject"
            ]
          }
        ],
        "observability": {
          "enabled": true
        }
      }
    },
    {
      "kind": "tenant",
      "torus": {
        "address": "919c47d0-1189-1aa6-8d2d-a8c161c16979",
        "seed": 4,
        "reflection": 6,
        "trinity": [
          7,
          4,
          1
        ],
        "closed": true,
        "bytes": 2504
      },
      "config": {
        "tenants": [
          {
            "tenant": "uuidna",
            "secrets": [
              "QPU_WRITE_TOKEN_UUIDNA",
              "QPU_ADMIN_TOKEN_UUIDNA",
              "STRIPE_SECRET_KEY_UUIDNA",
              "STRIPE_WEBHOOK_SECRET_UUIDNA",
              "QPU_MCP_TOKEN_BINDINGS_MCP_CLOUDFLARE_COM_UUIDNA",
              "QPU_MCP_TOKEN_OBSERVABILITY_MCP_CLOUDFLARE_COM_UUIDNA",
              "QPU_MCP_TOKEN_RADAR_MCP_CLOUDFLARE_COM_UUIDNA",
              "QPU_MCP_TOKEN_BROWSER_MCP_CLOUDFLARE_COM_UUIDNA",
              "QPU_MCP_TOKEN_AI_GATEWAY_MCP_CLOUDFLARE_COM_UUIDNA",
              "QPU_MCP_TOKEN_DNS_ANALYTICS_MCP_CLOUDFLARE_COM_UUIDNA",
              "QPU_MCP_TOKEN_AUTORAG_MCP_CLOUDFLARE_COM_UUIDNA"
            ],
            "vars": [
              "QPU_MCP_HOSTS_UUIDNA"
            ],
            "shared": [
              "QPU_DATA_KEY",
              "QPU_RBAC_MCP",
              "QPU_RBAC_TOOL"
            ],
            "note": "names only: the operator sets the values as wrangler secrets; a tool never reads or carries a value"
          },
          {
            "tenant": "psg",
            "secrets": [
              "QPU_WRITE_TOKEN_PSG",
              "QPU_ADMIN_TOKEN_PSG",
              "STRIPE_SECRET_KEY_PSG",
              "STRIPE_WEBHOOK_SECRET_PSG",
              "QPU_MCP_TOKEN_BINDINGS_MCP_CLOUDFLARE_COM_PSG",
              "QPU_MCP_TOKEN_OBSERVABILITY_MCP_CLOUDFLARE_COM_PSG",
              "QPU_MCP_TOKEN_RADAR_MCP_CLOUDFLARE_COM_PSG",
              "QPU_MCP_TOKEN_BROWSER_MCP_CLOUDFLARE_COM_PSG",
              "QPU_MCP_TOKEN_AI_GATEWAY_MCP_CLOUDFLARE_COM_PSG",
              "QPU_MCP_TOKEN_DNS_ANALYTICS_MCP_CLOUDFLARE_COM_PSG",
              "QPU_MCP_TOKEN_AUTORAG_MCP_CLOUDFLARE_COM_PSG"
            ],
            "vars": [
              "QPU_MCP_HOSTS_PSG"
            ],
            "shared": [
              "QPU_DATA_KEY",
              "QPU_RBAC_MCP",
              "QPU_RBAC_TOOL"
            ],
            "note": "names only: the operator sets the values as wrangler secrets; a tool never reads or carries a value"
          },
          {
            "tenant": "ceci",
            "secrets": [
              "QPU_WRITE_TOKEN_CECI",
              "QPU_ADMIN_TOKEN_CECI",
              "STRIPE_SECRET_KEY_CECI",
              "STRIPE_WEBHOOK_SECRET_CECI",
              "QPU_MCP_TOKEN_BINDINGS_MCP_CLOUDFLARE_COM_CECI",
              "QPU_MCP_TOKEN_OBSERVABILITY_MCP_CLOUDFLARE_COM_CECI",
              "QPU_MCP_TOKEN_RADAR_MCP_CLOUDFLARE_COM_CECI",
              "QPU_MCP_TOKEN_BROWSER_MCP_CLOUDFLARE_COM_CECI",
              "QPU_MCP_TOKEN_AI_GATEWAY_MCP_CLOUDFLARE_COM_CECI",
              "QPU_MCP_TOKEN_DNS_ANALYTICS_MCP_CLOUDFLARE_COM_CECI",
              "QPU_MCP_TOKEN_AUTORAG_MCP_CLOUDFLARE_COM_CECI"
            ],
            "vars": [
              "QPU_MCP_HOSTS_CECI"
            ],
            "shared": [
              "QPU_DATA_KEY",
              "QPU_RBAC_MCP",
              "QPU_RBAC_TOOL"
            ],
            "note": "names only: the operator sets the values as wrangler secrets; a tool never reads or carries a value"
          }
        ],
        "mcpHostsDefault": [
          "https://uuidna.com/mcp",
          "https://qpu.uuidna.com/mcp",
          "https://docs.mcp.cloudflare.com/mcp",
          "https://bindings.mcp.cloudflare.com/mcp",
          "https://observability.mcp.cloudflare.com/mcp",
          "https://radar.mcp.cloudflare.com/mcp",
          "https://browser.mcp.cloudflare.com/mcp",
          "https://ai-gateway.mcp.cloudflare.com/mcp",
          "https://dns-analytics.mcp.cloudflare.com/mcp",
          "https://autorag.mcp.cloudflare.com/mcp",
          "https://api.githubcopilot.com/mcp/"
        ]
      }
    },
    {
      "kind": "pwa",
      "torus": {
        "address": "e4cc12dd-c113-7035-b7da-f0c9fc05a9ee",
        "seed": 4,
        "reflection": 6,
        "trinity": [
          7,
          4,
          1
        ],
        "closed": true,
        "bytes": 823
      },
      "config": {
        "name": "@uuidna/qpu",
        "short_name": "qpu",
        "description": "",
        "id": "/",
        "start_url": "/",
        "scope": "/",
        "display": "standalone",
        "orientation": "any",
        "background_color": "#0b0b0f",
        "theme_color": "hsl(72 62% 44%)",
        "lang": "en",
        "dir": "ltr",
        "categories": [
          "developer",
          "education",
          "productivity"
        ],
        "icons": [
          {
            "src": "/icon.svg",
            "sizes": "any",
            "type": "image/svg+xml",
            "purpose": "any"
          },
          {
            "src": "/icon.svg",
            "sizes": "any",
            "type": "image/svg+xml",
            "purpose": "maskable"
          }
        ],
        "shortcuts": [
          {
            "name": "Every tool laid out",
            "url": "/u/05b9b86e-2305-6a98-8923-e744a0f13386",
            "description": "the dashboard index: every tool with the size of its space"
          },
          {
            "name": "Examples",
            "url": "/examples"
          },
          {
            "name": "Stream",
            "url": "/stream"
          },
          {
            "name": "Readiness",
            "url": "/readiness"
          }
        ],
        "related_applications": [],
        "prefer_related_applications": false,
        "license": "CC-BY-NC-ND-4.0",
        "version": null
      }
    },
    {
      "kind": "mcp",
      "torus": {
        "address": "7ffc9504-c8e3-6f66-a6b7-4ad68fc923e7",
        "seed": 6,
        "reflection": 4,
        "trinity": [
          3,
          6,
          9
        ],
        "closed": true,
        "bytes": 669
      },
      "config": {
        "mcpServers": {
          "qpu": {
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            "page:reference/python/cirq/KakDecomposition",
            "page:reference/python/cirq/KeyCondition",
            "page:reference/python/cirq/KrausChannel",
            "page:reference/python/cirq/LabelEntity",
            "page:reference/python/cirq/LineInitialMapper",
            "page:reference/python/cirq/LineQid",
            "page:reference/python/cirq/LineTopology",
            "page:reference/python/cirq/LinearCombinationOfGates",
            "page:reference/python/cirq/LinearCombinationOfOperations",
            "page:reference/python/cirq/LinearDict",
            "page:reference/python/cirq/Linspace",
            "page:reference/python/cirq/ListSweep",
            "page:reference/python/cirq/M",
            "page:reference/python/cirq/MSGate",
            "page:reference/python/cirq/MappingManager",
            "page:reference/python/cirq/MatrixGate",
            "page:reference/python/cirq/MeasurementKey",
            "page:reference/python/cirq/MeasurementType",
            "page:reference/python/cirq/MixedUnitaryChannel",
            "page:reference/python/cirq/MutableDensePauliString",
            "page:reference/python/cirq/MutablePauliString",
            "page:reference/python/cirq/NOISE_MODEL_LIKE",
            "page:reference/python/cirq/NamedQid",
            "page:reference/python/cirq/NamedTopology",
            "page:reference/python/cirq/NoiseModel",
            "page:reference/python/cirq/NoiseModelFromNoiseProperties",
            "page:reference/python/cirq/NoiseProperties",
            "page:reference/python/cirq/OpIdentifier",
            "page:reference/python/cirq/PAULI_GATE_LIKE",
            "page:reference/python/cirq/PAULI_STRING_LIKE",
            "page:reference/python/cirq/ParallelGate",
            "page:reference/python/cirq/ParallelGateFamily",
            "page:reference/python/cirq/ParamDictType",
            "page:reference/python/cirq/ParamMappingType",
            "page:reference/python/cirq/ParamResolver",
            "page:reference/python/cirq/ParamResolverOrSimilarType",
            "page:reference/python/cirq/Pauli",
            "page:reference/python/cirq/PauliInteractionGate",
            "page:reference/python/cirq/PauliMeasurementGate",
            "page:reference/python/cirq/PauliStringGateOperation",
            "page:reference/python/cirq/PauliStringPhasor",
            "page:reference/python/cirq/PauliStringPhasorGate",
            "page:reference/python/cirq/PauliSum",
            "page:reference/python/cirq/PauliSumCollector",
            "page:reference/python/cirq/PauliSumExponential",
            "page:reference/python/cirq/PauliSumLike",
            "page:reference/python/cirq/PeriodicValue",
            "page:reference/python/cirq/PhaseGradientGate",
            "page:reference/python/cirq/PhasedFSimGate",
            "page:reference/python/cirq/PhasedISwapPowGate",
            "page:reference/python/cirq/PhasedXPowGate",
            "page:reference/python/cirq/PhasedXZGate",
            "page:reference/python/cirq/PointOptimizationSummary",
            "page:reference/python/cirq/PointOptimizer",
            "page:reference/python/cirq/Points",
            "page:reference/python/cirq/Product",
            "page:reference/python/cirq/ProductOfSums",
            "page:reference/python/cirq/ProductState",
            "page:reference/python/cirq/ProjectorString",
            "page:reference/python/cirq/ProjectorSum",
            "page:reference/python/cirq/QUANTUM_STATE_LIKE",
            "page:reference/python/cirq/QasmArgs",
            "page:reference/python/cirq/QasmOutput",
            "page:reference/python/cirq/QuantumState",
            "page:reference/python/cirq/QuantumStateRepresentation",
            "page:reference/python/cirq/QubitManager",
            "page:reference/python/cirq/QubitOrder",
            "page:reference/python/cirq/QubitPermutationGate",
            "page:reference/python/cirq/R",
            "page:reference/python/cirq/RandomGateChannel",
            "page:reference/python/cirq/ResultDict",
            "page:reference/python/cirq/RouteCQC",
            "page:reference/python/cirq/RoutingSwapTag",
            "page:reference/python/cirq/Rx",
            "page:reference/python/cirq/Ry",
            "page:reference/python/cirq/Rz",
            "page:reference/python/cirq/SQRT_ISWAP",
            "page:reference/python/cirq/SQRT_ISWAP_INV",
            "page:reference/python/cirq/STATE_VECTOR_LIKE",
            "page:reference/python/cirq/Sampler",
            "page:reference/python/cirq/SerializableByKey",
            "page:reference/python/cirq/SetVariable",
            "page:reference/python/cirq/SimpleQubitManager",
            "page:reference/python/cirq/SimulatesAmplitudes",
            "page:reference/python/cirq/SimulatesExpectationValues",
            "page:reference/python/cirq/SimulatesFinalState",
            "page:reference/python/cirq/SimulatesIntermediateState",
            "page:reference/python/cirq/SimulatesIntermediateStateVector",
            "page:reference/python/cirq/SimulatesSamples",
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            "page:reference/python/cirq/SimulationStateBase",
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            "page:reference/python/cirq/StabilizerState",
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            "page:reference/python/cirq/StatePreparationChannel",
            "page:reference/python/cirq/StateVectorMixin",
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            "page:reference/python/cirq/StateVectorTrialResult",
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            "page:reference/python/cirq/SumOfProducts",
            "page:reference/python/cirq/SuperconductingQubitsNoiseProperties",
            "page:reference/python/cirq/SupportsActOn",
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            "page:reference/python/cirq/big_endian_bits_to_int",
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            "page:reference/python/cirq/contrib",
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            "page:reference/python/cirq/contrib/acquaintance/executor/LogicalGates",
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            "page:reference/python/cirq/contrib/acquaintance/gates/Layers",
            "page:reference/python/cirq/contrib/acquaintance/gates/acquaint_and_shift",
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            "page:reference/python/cirq/contrib/acquaintance/get_acquaintance_size",
            "page:reference/python/cirq/contrib/acquaintance/get_logical_acquaintance_opportunities",
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            "page:reference/python/cirq/contrib/acquaintance/inspection_utils",
            "page:reference/python/cirq/contrib/acquaintance/inspection_utils/LogicalAnnotator",
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            "page:reference/python/cirq/contrib/acquaintance/is_topologically_sorted",
            "page:reference/python/cirq/contrib/acquaintance/mutation_utils",
            "page:reference/python/cirq/contrib/acquaintance/mutation_utils/ExposeAcquaintanceGates",
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            "page:reference/python/cirq/contrib/acquaintance/permutation",
            "page:reference/python/cirq/contrib/acquaintance/permutation/DecomposePermutationGates",
            "page:reference/python/cirq/contrib/acquaintance/permutation/MappingDisplayGate",
            "page:reference/python/cirq/contrib/acquaintance/quartic_paired_acquaintance_strategy",
            "page:reference/python/cirq/contrib/acquaintance/random_topological_sort",
            "page:reference/python/cirq/contrib/acquaintance/rectify_acquaintance_strategy",
            "page:reference/python/cirq/contrib/acquaintance/remove_redundant_acquaintance_opportunities",
            "page:reference/python/cirq/contrib/acquaintance/replace_acquaintance_with_swap_network",
            "page:reference/python/cirq/contrib/acquaintance/return_to_initial_mapping",
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            "page:reference/python/cirq/contrib/acquaintance/shift_swap_network",
            "page:reference/python/cirq/contrib/acquaintance/strategies",
            "page:reference/python/cirq/contrib/acquaintance/strategies/complete",
            "page:reference/python/cirq/contrib/acquaintance/strategies/cubic",
            "page:reference/python/cirq/contrib/acquaintance/strategies/cubic/skip_and_wrap_around",
            "page:reference/python/cirq/contrib/acquaintance/strategies/quartic_paired",
            "page:reference/python/cirq/contrib/acquaintance/strategies/quartic_paired/qubit_pairs_to_qubit_order",
            "page:reference/python/cirq/contrib/acquaintance/testing",
            "page:reference/python/cirq/contrib/acquaintance/testing/assert_permutation_decomposition_equivalence",
            "page:reference/python/cirq/contrib/acquaintance/topological_sort",
            "page:reference/python/cirq/contrib/acquaintance/update_mapping",
            "page:reference/python/cirq/contrib/acquaintance/uses_consistent_swap_gate",
            "page:reference/python/cirq/contrib/circuit_to_latex_using_qcircuit",
            "page:reference/python/cirq/contrib/circuitdag",
            "page:reference/python/cirq/contrib/circuitdag/circuit_dag",
            "page:reference/python/cirq/contrib/graph_device",
            "page:reference/python/cirq/contrib/graph_device/FixedDurationUndirectedGraphDeviceEdge",
            "page:reference/python/cirq/contrib/graph_device/UndirectedGraphDevice",
            "page:reference/python/cirq/contrib/graph_device/UndirectedHypergraph",
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            "page:reference/python/cirq/contrib/graph_device/graph_device/UndirectedGraphDeviceEdge",
            "page:reference/python/cirq/contrib/graph_device/graph_device/raise_crosstalk_error",
            "page:reference/python/cirq/contrib/graph_device/hypergraph",
            "page:reference/python/cirq/contrib/graph_device/hypergraph/AdjacencyList",
            "page:reference/python/cirq/contrib/graph_device/is_crosstalk_graph",
            "page:reference/python/cirq/contrib/graph_device/is_undirected_device_graph",
            "page:reference/python/cirq/contrib/graph_device/uniform_graph_device",
            "page:reference/python/cirq/contrib/graph_device/uniform_undirected_graph_device",
            "page:reference/python/cirq/contrib/graph_device/uniform_undirected_linear_device",
            "page:reference/python/cirq/contrib/json",
            "page:reference/python/cirq/contrib/json/contrib_class_resolver",
            "page:reference/python/cirq/contrib/qcircuit",
            "page:reference/python/cirq/contrib/qcircuit/escape_text_for_latex",
            "page:reference/python/cirq/contrib/qcircuit/get_multigate_parameters",
            "page:reference/python/cirq/contrib/qcircuit/get_qcircuit_diagram_info",
            "page:reference/python/cirq/contrib/qcircuit/qcircuit_diagram",
            "page:reference/python/cirq/contrib/qcircuit/qcircuit_diagram/qcircuit_qubit_namer",
            "page:reference/python/cirq/contrib/qcircuit/qcircuit_diagram_info",
            "page:reference/python/cirq/contrib/qcircuit/qcircuit_diagram_info/convert_text_diagram_info_to_qcircuit_diagram_info",
            "page:reference/python/cirq/contrib/qcircuit/qcircuit_diagram_info/fallback_qcircuit_diagram_info",
            "page:reference/python/cirq/contrib/qcircuit/qcircuit_diagram_info/hardcoded_qcircuit_diagram_info",
            "page:reference/python/cirq/contrib/qcircuit/qcircuit_diagram_info/multigate_qcircuit_diagram_info",
            "page:reference/python/cirq/contrib/quirk",
            "page:reference/python/cirq/contrib/quirk/circuit_to_quirk_url",
            "page:reference/python/cirq/contrib/quirk/export_to_quirk",
            "page:reference/python/cirq/contrib/quirk/linearize_circuit",
            "page:reference/python/cirq/contrib/quirk/linearize_circuit/QubitMapper",
            "page:reference/python/cirq/contrib/quirk/linearize_circuit/linearize_circuit_qubits",
            "page:reference/python/cirq/contrib/quirk/quirk_gate",
            "page:reference/python/cirq/contrib/quirk/quirk_gate/QuirkOp",
            "page:reference/python/cirq/contrib/quirk/quirk_gate/angle_to_exponent_key",
            "page:reference/python/cirq/contrib/quirk/quirk_gate/ccx_to_quirk_op",
            "page:reference/python/cirq/contrib/quirk/quirk_gate/ccz_to_quirk_op",
            "page:reference/python/cirq/contrib/quirk/quirk_gate/cnot_to_quirk_op",
            "page:reference/python/cirq/contrib/quirk/quirk_gate/controlled_unwrap",
            "page:reference/python/cirq/contrib/quirk/quirk_gate/cswap_to_quirk_op",
            "page:reference/python/cirq/contrib/quirk/quirk_gate/cz_to_quirk_op",
            "page:reference/python/cirq/contrib/quirk/quirk_gate/h_to_quirk_op",
            "page:reference/python/cirq/contrib/quirk/quirk_gate/known_quirk_op_for_operation",
            "page:reference/python/cirq/contrib/quirk/quirk_gate/same_half_turns",
            "page:reference/python/cirq/contrib/quirk/quirk_gate/single_qubit_matrix_gate",
            "page:reference/python/cirq/contrib/quirk/quirk_gate/swap_to_quirk_op",
            "page:reference/python/cirq/contrib/quirk/quirk_gate/x_to_quirk_op",
            "page:reference/python/cirq/contrib/quirk/quirk_gate/xyz_to_quirk_op",
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            "page:reference/python/cirq/contrib/quirk/quirk_gate/z_to_quirk_op",
            "page:reference/python/cirq/control_keys",
            "page:reference/python/cirq/cphase",
            "page:reference/python/cirq/create_transformer_with_kwargs",
            "page:reference/python/cirq/dataclass_json_dict",
            "page:reference/python/cirq/decompose",
            "page:reference/python/cirq/decompose_clifford_tableau_to_operations",
            "page:reference/python/cirq/decompose_cphase_into_two_fsim",
            "page:reference/python/cirq/decompose_multi_controlled_rotation",
            "page:reference/python/cirq/decompose_multi_controlled_x",
            "page:reference/python/cirq/decompose_once",
            "page:reference/python/cirq/decompose_once_with_qubits",
            "page:reference/python/cirq/decompose_two_qubit_interaction_into_four_fsim_gates",
            "page:reference/python/cirq/deconstruct_single_qubit_matrix_into_angles",
            "page:reference/python/cirq/defer_measurements",
            "page:reference/python/cirq/definitely_commutes",
            "page:reference/python/cirq/density_matrix",
            "page:reference/python/cirq/density_matrix_from_state_vector",
            "page:reference/python/cirq/density_matrix_kronecker_product",
            "page:reference/python/cirq/dephase_measurements",
            "page:reference/python/cirq/diagonalize_real_symmetric_and_sorted_diagonal_matrices",
            "page:reference/python/cirq/diagonalize_real_symmetric_matrix",
            "page:reference/python/cirq/dict_to_product_sweep",
            "page:reference/python/cirq/dict_to_zip_sweep",
            "page:reference/python/cirq/dirac_notation",
            "page:reference/python/cirq/dot",
            "page:reference/python/cirq/draw_gridlike",
            "page:reference/python/cirq/draw_placements",
            "page:reference/python/cirq/drop_diagonal_before_measurement",
            "page:reference/python/cirq/drop_empty_moments",
            "page:reference/python/cirq/drop_negligible_operations",
            "page:reference/python/cirq/drop_terminal_measurements",
            "page:reference/python/cirq/eject_phased_paulis",
            "page:reference/python/cirq/eject_z",
            "page:reference/python/cirq/entanglement_fidelity",
            "page:reference/python/cirq/equal_up_to_global_phase",
            "page:reference/python/cirq/estimate_parallel_single_qubit_readout_errors",
            "page:reference/python/cirq/estimate_single_qubit_readout_errors",
            "page:reference/python/cirq/expand_composite",
            "page:reference/python/cirq/expand_matrix_in_orthogonal_basis",
            "page:reference/python/cirq/eye_tensor",
            "page:reference/python/cirq/fidelity",
            "page:reference/python/cirq/final_density_matrix",
            "page:reference/python/cirq/final_state_vector",
            "page:reference/python/cirq/flatten",
            "page:reference/python/cirq/flatten_op_tree",
            "page:reference/python/cirq/flatten_to_ops",
            "page:reference/python/cirq/flatten_to_ops_or_moments",
            "page:reference/python/cirq/flatten_with_params",
            "page:reference/python/cirq/flatten_with_sweep",
            "page:reference/python/cirq/freeze_op_tree",
            "page:reference/python/cirq/get_placements",
            "page:reference/python/cirq/get_state_histogram",
            "page:reference/python/cirq/givens",
            "page:reference/python/cirq/global_phase_operation",
            "page:reference/python/cirq/has_kraus",
            "page:reference/python/cirq/has_mixture",
            "page:reference/python/cirq/has_stabilizer_effect",
            "page:reference/python/cirq/has_unitary",
            "page:reference/python/cirq/hilbert_schmidt_inner_product",
            "page:reference/python/cirq/hog_score_xeb_fidelity_from_probabilities",
            "page:reference/python/cirq/identity_each",
            "page:reference/python/cirq/index_tags",
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            "page:reference/python/cirq/is_cptp",
            "page:reference/python/cirq/is_diagonal",
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            "page:reference/python/cirq/is_measurement",
            "page:reference/python/cirq/is_native_neutral_atom_gate",
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            "page:reference/python/cirq/is_negligible_turn",
            "page:reference/python/cirq/is_normal",
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            "page:reference/python/cirq/is_parameterized",
            "page:reference/python/cirq/is_special_orthogonal",
            "page:reference/python/cirq/is_special_unitary",
            "page:reference/python/cirq/is_unitary",
            "page:reference/python/cirq/is_valid_placement",
            "page:reference/python/cirq/json_cirq_type",
            "page:reference/python/cirq/json_namespace",
            "page:reference/python/cirq/kak_canonicalize_vector",
            "page:reference/python/cirq/kak_decomposition",
            "page:reference/python/cirq/kak_vector",
            "page:reference/python/cirq/kraus_to_choi",
            "page:reference/python/cirq/kraus_to_superoperator",
            "page:reference/python/cirq/kron",
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            "page:reference/python/cirq/kron_factor_4x4_to_2x2s",
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            "page:reference/python/cirq/linear_xeb_fidelity",
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            "page:reference/python/cirq/list_of_dicts_to_zip",
            "page:reference/python/cirq/log_xeb_fidelity",
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            "page:reference/python/cirq/map_clean_and_borrowable_qubits",
            "page:reference/python/cirq/map_eigenvalues",
            "page:reference/python/cirq/map_moments",
            "page:reference/python/cirq/map_operations",
            "page:reference/python/cirq/map_operations_and_unroll",
            "page:reference/python/cirq/match_global_phase",
            "page:reference/python/cirq/matrix_commutes",
            "page:reference/python/cirq/matrix_from_basis_coefficients",
            "page:reference/python/cirq/measure_confusion_matrix",
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            "page:reference/python/cirq/measurement_key_name",
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            "page:reference/python/cirq/measurement_keys_touched",
            "page:reference/python/cirq/merge_k_qubit_unitaries",
            "page:reference/python/cirq/merge_k_qubit_unitaries_to_circuit_op",
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            "page:reference/python/cirq_google/api/v2/ndarrays_pb2",
            "page:reference/python/cirq_google/api/v2/ndarrays_pb2/BitArray",
            "page:reference/python/cirq_google/api/v2/ndarrays_pb2/Complex128Array",
            "page:reference/python/cirq_google/api/v2/ndarrays_pb2/Complex64Array",
            "page:reference/python/cirq_google/api/v2/ndarrays_pb2/Float16Array",
            "page:reference/python/cirq_google/api/v2/ndarrays_pb2/Float32Array",
            "page:reference/python/cirq_google/api/v2/ndarrays_pb2/Float64Array",
            "page:reference/python/cirq_google/api/v2/ndarrays_pb2/Int16Array",
            "page:reference/python/cirq_google/api/v2/ndarrays_pb2/Int32Array",
            "page:reference/python/cirq_google/api/v2/ndarrays_pb2/Int64Array",
            "page:reference/python/cirq_google/api/v2/ndarrays_pb2/Int8Array",
            "page:reference/python/cirq_google/api/v2/pack_bits",
            "page:reference/python/cirq_google/api/v2/program",
            "page:reference/python/cirq_google/api/v2/program_pb2",
            "page:reference/python/cirq_google/api/v2/program_pb2/AnalogDetuneCouplerOnly",
            "page:reference/python/cirq_google/api/v2/program_pb2/AnalogDetuneQubit",
            "page:reference/python/cirq_google/api/v2/program_pb2/Arg",
            "page:reference/python/cirq_google/api/v2/program_pb2/ArgFunction",
            "page:reference/python/cirq_google/api/v2/program_pb2/ArgMapping",
            "page:reference/python/cirq_google/api/v2/program_pb2/ArgMapping/ArgEntry",
            "page:reference/python/cirq_google/api/v2/program_pb2/ArgValue",
            "page:reference/python/cirq_google/api/v2/program_pb2/CZPowGate",
            "page:reference/python/cirq_google/api/v2/program_pb2/CalibrationTag",
            "page:reference/python/cirq_google/api/v2/program_pb2/Circuit",
            "page:reference/python/cirq_google/api/v2/program_pb2/CircuitOperation",
            "page:reference/python/cirq_google/api/v2/program_pb2/ClassicalStateTag",
            "page:reference/python/cirq_google/api/v2/program_pb2/CliffordTableau",
            "page:reference/python/cirq_google/api/v2/program_pb2/Complex",
            "page:reference/python/cirq_google/api/v2/program_pb2/CompressDurationTag",
            "page:reference/python/cirq_google/api/v2/program_pb2/Constant",
            "page:reference/python/cirq_google/api/v2/program_pb2/CouplerPulseGate",
            "page:reference/python/cirq_google/api/v2/program_pb2/CustomArg",
            "page:reference/python/cirq_google/api/v2/program_pb2/DepolarizingChannel",
            "page:reference/python/cirq_google/api/v2/program_pb2/DynamicalDecouplingTag",
            "page:reference/python/cirq_google/api/v2/program_pb2/FSimGate",
            "page:reference/python/cirq_google/api/v2/program_pb2/FSimViaModelTag",
            "page:reference/python/cirq_google/api/v2/program_pb2/FloatArg",
            "page:reference/python/cirq_google/api/v2/program_pb2/FunctionInterpolation",
            "page:reference/python/cirq_google/api/v2/program_pb2/Gate",
            "page:reference/python/cirq_google/api/v2/program_pb2/HPowGate",
            "page:reference/python/cirq_google/api/v2/program_pb2/ISwapLikeGate",
            "page:reference/python/cirq_google/api/v2/program_pb2/ISwapPowGate",
            "page:reference/python/cirq_google/api/v2/program_pb2/IdentityGate",
            "page:reference/python/cirq_google/api/v2/program_pb2/InternalGate",
            "page:reference/python/cirq_google/api/v2/program_pb2/InternalGate/CustomArgsEntry",
            "page:reference/python/cirq_google/api/v2/program_pb2/InternalGate/GateArgsEntry",
            "page:reference/python/cirq_google/api/v2/program_pb2/InternalTag",
            "page:reference/python/cirq_google/api/v2/program_pb2/InternalTag/CustomArgsEntry",
            "page:reference/python/cirq_google/api/v2/program_pb2/InternalTag/TagArgsEntry",
            "page:reference/python/cirq_google/api/v2/program_pb2/KeyedCircuit",
            "page:reference/python/cirq_google/api/v2/program_pb2/KeyedCircuit/ArgsEntry",
            "page:reference/python/cirq_google/api/v2/program_pb2/Language",
            "page:reference/python/cirq_google/api/v2/program_pb2/MeasurementGate",
            "page:reference/python/cirq_google/api/v2/program_pb2/MeasurementKey",
            "page:reference/python/cirq_google/api/v2/program_pb2/MeasurementKeyMapping",
            "page:reference/python/cirq_google/api/v2/program_pb2/MeasurementKeyMapping/MeasurementKeyEntry",
            "page:reference/python/cirq_google/api/v2/program_pb2/Moment",
            "page:reference/python/cirq_google/api/v2/program_pb2/NDArray",
            "page:reference/python/cirq_google/api/v2/program_pb2/NoSyncTag",
            "page:reference/python/cirq_google/api/v2/program_pb2/NoiseChannel",
            "page:reference/python/cirq_google/api/v2/program_pb2/Operation",
            "page:reference/python/cirq_google/api/v2/program_pb2/PhaseMatchTag",
            "page:reference/python/cirq_google/api/v2/program_pb2/PhasedXPowGate",
            "page:reference/python/cirq_google/api/v2/program_pb2/PhasedXZGate",
            "page:reference/python/cirq_google/api/v2/program_pb2/PhysicalZTag",
            "page:reference/python/cirq_google/api/v2/program_pb2/Program",
            "page:reference/python/cirq_google/api/v2/program_pb2/Qubit",
            "page:reference/python/cirq_google/api/v2/program_pb2/QubitMapping",
            "page:reference/python/cirq_google/api/v2/program_pb2/QubitMapping/QubitEntry",
            "page:reference/python/cirq_google/api/v2/program_pb2/RandomGateChannel",
            "page:reference/python/cirq_google/api/v2/program_pb2/RepeatedBoolean",
            "page:reference/python/cirq_google/api/v2/program_pb2/RepeatedDouble",
            "page:reference/python/cirq_google/api/v2/program_pb2/RepeatedInt64",
            "page:reference/python/cirq_google/api/v2/program_pb2/RepeatedString",
            "page:reference/python/cirq_google/api/v2/program_pb2/RepetitionSpecification",
            "page:reference/python/cirq_google/api/v2/program_pb2/RepetitionSpecification/RepetitionIds",
            "page:reference/python/cirq_google/api/v2/program_pb2/ResetGate",
            "page:reference/python/cirq_google/api/v2/program_pb2/ResetGate/ArgumentsEntry",
            "page:reference/python/cirq_google/api/v2/program_pb2/SingleQubitCliffordGate",
            "page:reference/python/cirq_google/api/v2/program_pb2/Tag",
            "page:reference/python/cirq_google/api/v2/program_pb2/Tuple",
            "page:reference/python/cirq_google/api/v2/program_pb2/TwoPulseFSimTag",
            "page:reference/python/cirq_google/api/v2/program_pb2/WaitGate",
            "page:reference/python/cirq_google/api/v2/program_pb2/WaitGateWithUnit",
            "page:reference/python/cirq_google/api/v2/program_pb2/XPowGate",
            "page:reference/python/cirq_google/api/v2/program_pb2/YPowGate",
            "page:reference/python/cirq_google/api/v2/program_pb2/ZPowGate",
            "page:reference/python/cirq_google/api/v2/qubit_from_proto_id",
            "page:reference/python/cirq_google/api/v2/qubit_to_proto_id",
            "page:reference/python/cirq_google/api/v2/result_pb2",
            "page:reference/python/cirq_google/api/v2/result_pb2/MeasurementResult",
            "page:reference/python/cirq_google/api/v2/result_pb2/ParameterDict",
            "page:reference/python/cirq_google/api/v2/result_pb2/ParameterDict/ArgsEntry",
            "page:reference/python/cirq_google/api/v2/result_pb2/ParameterDict/AssignmentsEntry",
            "page:reference/python/cirq_google/api/v2/result_pb2/ParameterizedResult",
            "page:reference/python/cirq_google/api/v2/result_pb2/QuantumCircuitCalibration",
            "page:reference/python/cirq_google/api/v2/result_pb2/QubitMeasurementResult",
            "page:reference/python/cirq_google/api/v2/result_pb2/Result",
            "page:reference/python/cirq_google/api/v2/result_pb2/SweepResult",
            "page:reference/python/cirq_google/api/v2/results",
            "page:reference/python/cirq_google/api/v2/results_from_proto",
            "page:reference/python/cirq_google/api/v2/results_to_proto",
            "page:reference/python/cirq_google/api/v2/run_context_pb2",
            "page:reference/python/cirq_google/api/v2/run_context_pb2/ConstValue",
            "page:reference/python/cirq_google/api/v2/run_context_pb2/DeviceParameter",
            "page:reference/python/cirq_google/api/v2/run_context_pb2/DeviceParametersDiff",
            "page:reference/python/cirq_google/api/v2/run_context_pb2/DeviceParametersDiff/GenericValue",
            "page:reference/python/cirq_google/api/v2/run_context_pb2/DeviceParametersDiff/Param",
            "page:reference/python/cirq_google/api/v2/run_context_pb2/DeviceParametersDiff/ResourceGroup",
            "page:reference/python/cirq_google/api/v2/run_context_pb2/FiniteRandomVariable",
            "page:reference/python/cirq_google/api/v2/run_context_pb2/FiniteRandomVariable/DistributionEntry",
            "page:reference/python/cirq_google/api/v2/run_context_pb2/Linspace",
            "page:reference/python/cirq_google/api/v2/run_context_pb2/Metadata",
            "page:reference/python/cirq_google/api/v2/run_context_pb2/ParameterSweep",
            "page:reference/python/cirq_google/api/v2/run_context_pb2/Points",
            "page:reference/python/cirq_google/api/v2/run_context_pb2/RunContext",
            "page:reference/python/cirq_google/api/v2/run_context_pb2/SingleSweep",
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            "page:reference/python/cirq_google/api/v2/run_context_pb2/SweepFunction",
            "page:reference/python/cirq_google/api/v2/run_context_to_proto",
            "page:reference/python/cirq_google/api/v2/sweep_from_proto",
            "page:reference/python/cirq_google/api/v2/sweep_to_proto",
            "page:reference/python/cirq_google/api/v2/sweeps",
            "page:reference/python/cirq_google/api/v2/sweeps/metadata_from_proto",
            "page:reference/python/cirq_google/api/v2/sweeps/metadata_to_proto",
            "page:reference/python/cirq_google/api/v2/sweeps/sweepable_to_proto",
            "page:reference/python/cirq_google/api/v2/unpack_bits",
            "page:reference/python/cirq_google/cloud",
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            "page:reference/python/cirq_google/cloud/quantum/CancelQuantumJobRequest",
            "page:reference/python/cirq_google/cloud/quantum/CancelQuantumReservationRequest",
            "page:reference/python/cirq_google/cloud/quantum/CompileQecProgramRequest",
            "page:reference/python/cirq_google/cloud/quantum/CompileQecProgramResponse",
            "page:reference/python/cirq_google/cloud/quantum/CreateQuantumJobRequest",
            "page:reference/python/cirq_google/cloud/quantum/CreateQuantumProgramAndJobRequest",
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            "page:reference/python/cirq_google/cloud/quantum/CreateQuantumReservationRequest",
            "page:reference/python/cirq_google/cloud/quantum/DeleteQuantumJobRequest",
            "page:reference/python/cirq_google/cloud/quantum/DeleteQuantumProgramRequest",
            "page:reference/python/cirq_google/cloud/quantum/DeleteQuantumReservationRequest",
            "page:reference/python/cirq_google/cloud/quantum/DeviceConfigKey",
            "page:reference/python/cirq_google/cloud/quantum/DeviceConfigSelector",
            "page:reference/python/cirq_google/cloud/quantum/ExecutionStatus",
            "page:reference/python/cirq_google/cloud/quantum/ExecutionStatus/Failure",
            "page:reference/python/cirq_google/cloud/quantum/ExecutionStatus/Failure/Code",
            "page:reference/python/cirq_google/cloud/quantum/ExecutionStatus/State",
            "page:reference/python/cirq_google/cloud/quantum/ExecutionStatus/Timing",
            "page:reference/python/cirq_google/cloud/quantum/GcsLocation",
            "page:reference/python/cirq_google/cloud/quantum/GetQuantumCalibrationRequest",
            "page:reference/python/cirq_google/cloud/quantum/GetQuantumJobRequest",
            "page:reference/python/cirq_google/cloud/quantum/GetQuantumProcessorConfigRequest",
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            "page:reference/python/cirq_google/cloud/quantum/GetQuantumProgramRequest",
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            "page:reference/python/cirq_google/cloud/quantum/GetQuantumResultRequest",
            "page:reference/python/cirq_google/cloud/quantum/InlineData",
            "page:reference/python/cirq_google/cloud/quantum/ListQuantumCalibrationsRequest",
            "page:reference/python/cirq_google/cloud/quantum/ListQuantumCalibrationsRequest/QuantumCalibrationView",
            "page:reference/python/cirq_google/cloud/quantum/ListQuantumCalibrationsResponse",
            "page:reference/python/cirq_google/cloud/quantum/ListQuantumJobEventsRequest",
            "page:reference/python/cirq_google/cloud/quantum/ListQuantumJobEventsResponse",
            "page:reference/python/cirq_google/cloud/quantum/ListQuantumJobsRequest",
            "page:reference/python/cirq_google/cloud/quantum/ListQuantumJobsResponse",
            "page:reference/python/cirq_google/cloud/quantum/ListQuantumProcessorAutomationRunHistoryRequest",
            "page:reference/python/cirq_google/cloud/quantum/ListQuantumProcessorAutomationRunHistoryResponse",
            "page:reference/python/cirq_google/cloud/quantum/ListQuantumProcessorConfigsRequest",
            "page:reference/python/cirq_google/cloud/quantum/ListQuantumProcessorConfigsResponse",
            "page:reference/python/cirq_google/cloud/quantum/ListQuantumProcessorsRequest",
            "page:reference/python/cirq_google/cloud/quantum/ListQuantumProcessorsResponse",
            "page:reference/python/cirq_google/cloud/quantum/ListQuantumProgramsRequest",
            "page:reference/python/cirq_google/cloud/quantum/ListQuantumProgramsResponse",
            "page:reference/python/cirq_google/cloud/quantum/ListQuantumReservationBudgetsRequest",
            "page:reference/python/cirq_google/cloud/quantum/ListQuantumReservationBudgetsResponse",
            "page:reference/python/cirq_google/cloud/quantum/ListQuantumReservationGrantsRequest",
            "page:reference/python/cirq_google/cloud/quantum/ListQuantumReservationGrantsResponse",
            "page:reference/python/cirq_google/cloud/quantum/ListQuantumReservationsRequest",
            "page:reference/python/cirq_google/cloud/quantum/ListQuantumReservationsResponse",
            "page:reference/python/cirq_google/cloud/quantum/ListQuantumTimeSlotsRequest",
            "page:reference/python/cirq_google/cloud/quantum/ListQuantumTimeSlotsResponse",
            "page:reference/python/cirq_google/cloud/quantum/OutputConfig",
            "page:reference/python/cirq_google/cloud/quantum/QecRecipe",
            "page:reference/python/cirq_google/cloud/quantum/QuantumCalibration",
            "page:reference/python/cirq_google/cloud/quantum/QuantumEngineServiceAsyncClient",
            "page:reference/python/cirq_google/cloud/quantum/QuantumEngineServiceClient",
            "page:reference/python/cirq_google/cloud/quantum/QuantumJob",
            "page:reference/python/cirq_google/cloud/quantum/QuantumJob/CalibrateCircuitAction",
            "page:reference/python/cirq_google/cloud/quantum/QuantumJob/ExecuteCircuitAction",
            "page:reference/python/cirq_google/cloud/quantum/QuantumJob/LabelsEntry",
            "page:reference/python/cirq_google/cloud/quantum/QuantumJobEvent",
            "page:reference/python/cirq_google/cloud/quantum/QuantumProcessor",
            "page:reference/python/cirq_google/cloud/quantum/QuantumProcessor/ActivityStats",
            "page:reference/python/cirq_google/cloud/quantum/QuantumProcessor/Health",
            "page:reference/python/cirq_google/cloud/quantum/QuantumProcessorAutomationRunHistory",
            "page:reference/python/cirq_google/cloud/quantum/QuantumProcessorConfig",
            "page:reference/python/cirq_google/cloud/quantum/QuantumProgram",
            "page:reference/python/cirq_google/cloud/quantum/QuantumProgram/LabelsEntry",
            "page:reference/python/cirq_google/cloud/quantum/QuantumReservation",
            "page:reference/python/cirq_google/cloud/quantum/QuantumReservationBudget",
            "page:reference/python/cirq_google/cloud/quantum/QuantumReservationGrant",
            "page:reference/python/cirq_google/cloud/quantum/QuantumReservationGrant/Budget",
            "page:reference/python/cirq_google/cloud/quantum/QuantumResult",
            "page:reference/python/cirq_google/cloud/quantum/QuantumRunStreamRequest",
            "page:reference/python/cirq_google/cloud/quantum/QuantumRunStreamResponse",
            "page:reference/python/cirq_google/cloud/quantum/QuantumTimeSlot",
            "page:reference/python/cirq_google/cloud/quantum/QuantumTimeSlot/MaintenanceConfig",
            "page:reference/python/cirq_google/cloud/quantum/QuantumTimeSlot/ReservationConfig",
            "page:reference/python/cirq_google/cloud/quantum/QuantumTimeSlot/TimeSlotType",
            "page:reference/python/cirq_google/cloud/quantum/ReallocateQuantumReservationGrantRequest",
            "page:reference/python/cirq_google/cloud/quantum/SchedulingConfig",
            "page:reference/python/cirq_google/cloud/quantum/SchedulingConfig/ProcessorSelector",
            "page:reference/python/cirq_google/cloud/quantum/StreamError",
            "page:reference/python/cirq_google/cloud/quantum/StreamError/Code",
            "page:reference/python/cirq_google/cloud/quantum/UpdateQuantumJobRequest",
            "page:reference/python/cirq_google/cloud/quantum/UpdateQuantumProgramRequest",
            "page:reference/python/cirq_google/cloud/quantum/UpdateQuantumReservationRequest",
            "page:reference/python/cirq_google/cloud/quantum_v1alpha1",
            "page:reference/python/cirq_google/devices",
            "page:reference/python/cirq_google/devices/GoogleNoiseProperties",
            "page:reference/python/cirq_google/devices/GridDevice",
            "page:reference/python/cirq_google/devices/NoiseModelFromGoogleNoiseProperties",
            "page:reference/python/cirq_google/devices/google_noise_properties",
            "page:reference/python/cirq_google/devices/grid_device",
            "page:reference/python/cirq_google/devices/known_devices/populate_qubit_pairs_in_device_proto",
            "page:reference/python/cirq_google/devices/known_devices/populate_qubits_in_device_proto",
            "page:reference/python/cirq_google/engine",
            "page:reference/python/cirq_google/engine/AbstractEngine",
            "page:reference/python/cirq_google/engine/AbstractJob",
            "page:reference/python/cirq_google/engine/AbstractLocalEngine",
            "page:reference/python/cirq_google/engine/AbstractLocalJob",
            "page:reference/python/cirq_google/engine/AbstractLocalProcessor",
            "page:reference/python/cirq_google/engine/AbstractLocalProgram",
            "page:reference/python/cirq_google/engine/AbstractProcessor",
            "page:reference/python/cirq_google/engine/AbstractProgram",
            "page:reference/python/cirq_google/engine/Calibration",
            "page:reference/python/cirq_google/engine/CalibrationLayer",
            "page:reference/python/cirq_google/engine/Engine",
            "page:reference/python/cirq_google/engine/EngineException",
            "page:reference/python/cirq_google/engine/EngineJob",
            "page:reference/python/cirq_google/engine/EngineProcessor",
            "page:reference/python/cirq_google/engine/EngineProgram",
            "page:reference/python/cirq_google/engine/EngineResult",
            "page:reference/python/cirq_google/engine/ProcessorConfig",
            "page:reference/python/cirq_google/engine/ProcessorSampler",
            "page:reference/python/cirq_google/engine/ProtoVersion",
            "page:reference/python/cirq_google/engine/Run",
            "page:reference/python/cirq_google/engine/SimulatedLocalEngine",
            "page:reference/python/cirq_google/engine/SimulatedLocalJob",
            "page:reference/python/cirq_google/engine/SimulatedLocalProcessor",
            "page:reference/python/cirq_google/engine/SimulatedLocalProgram",
            "page:reference/python/cirq_google/engine/Snapshot",
            "page:reference/python/cirq_google/engine/ValidatingSampler",
            "page:reference/python/cirq_google/engine/abstract_engine",
            "page:reference/python/cirq_google/engine/abstract_job",
            "page:reference/python/cirq_google/engine/abstract_local_engine",
            "page:reference/python/cirq_google/engine/abstract_local_job",
            "page:reference/python/cirq_google/engine/abstract_local_processor",
            "page:reference/python/cirq_google/engine/abstract_local_program",
            "page:reference/python/cirq_google/engine/abstract_processor",
            "page:reference/python/cirq_google/engine/abstract_program",
            "page:reference/python/cirq_google/engine/asyncio_executor",
            "page:reference/python/cirq_google/engine/asyncio_executor/AsyncioExecutor",
            "page:reference/python/cirq_google/engine/calibration",
            "page:reference/python/cirq_google/engine/calibration/ALL_METRICS",
            "page:reference/python/cirq_google/engine/calibration/METRIC_DICT",
            "page:reference/python/cirq_google/engine/calibration/METRIC_KEY",
            "page:reference/python/cirq_google/engine/calibration/METRIC_VALUE",
            "page:reference/python/cirq_google/engine/calibration_layer",
            "page:reference/python/cirq_google/engine/calibration_to_noise_properties",
            "page:reference/python/cirq_google/engine/create_default_noisy_quantum_virtual_machine",
            "page:reference/python/cirq_google/engine/create_device_from_processor_id",
            "page:reference/python/cirq_google/engine/create_noiseless_virtual_engine_from_device",
            "page:reference/python/cirq_google/engine/create_noiseless_virtual_engine_from_latest_templates",
            "page:reference/python/cirq_google/engine/create_noiseless_virtual_engine_from_proto",
            "page:reference/python/cirq_google/engine/create_noiseless_virtual_engine_from_templates",
            "page:reference/python/cirq_google/engine/engine",
            "page:reference/python/cirq_google/engine/engine/EngineContext",
            "page:reference/python/cirq_google/engine/engine_client",
            "page:reference/python/cirq_google/engine/engine_client/EngineClient",
            "page:reference/python/cirq_google/engine/engine_job",
            "page:reference/python/cirq_google/engine/engine_processor",
            "page:reference/python/cirq_google/engine/engine_program",
            "page:reference/python/cirq_google/engine/engine_result",
            "page:reference/python/cirq_google/engine/engine_validator",
            "page:reference/python/cirq_google/engine/engine_validator/PROGRAM_VALIDATOR_TYPE",
            "page:reference/python/cirq_google/engine/engine_validator/create_engine_validator",
            "page:reference/python/cirq_google/engine/engine_validator/create_program_validator",
            "page:reference/python/cirq_google/engine/engine_validator/validate_for_engine",
            "page:reference/python/cirq_google/engine/engine_validator/validate_program",
            "page:reference/python/cirq_google/engine/estimate_run_batch_time",
            "page:reference/python/cirq_google/engine/estimate_run_sweep_time",
            "page:reference/python/cirq_google/engine/estimate_run_time",
            "page:reference/python/cirq_google/engine/get_engine",
            "page:reference/python/cirq_google/engine/get_engine_calibration",
            "page:reference/python/cirq_google/engine/get_engine_device",
            "page:reference/python/cirq_google/engine/get_engine_sampler",
            "page:reference/python/cirq_google/engine/list_virtual_processors",
            "page:reference/python/cirq_google/engine/load_device_noise_properties",
            "page:reference/python/cirq_google/engine/load_median_device_calibration",
            "page:reference/python/cirq_google/engine/load_sample_device_zphase",
            "page:reference/python/cirq_google/engine/local_simulation_type",
            "page:reference/python/cirq_google/engine/local_simulation_type/LocalSimulationType",
            "page:reference/python/cirq_google/engine/noise_properties_from_calibration",
            "page:reference/python/cirq_google/engine/processor_config",
            "page:reference/python/cirq_google/engine/processor_config/validate_device_config_revision",
            "page:reference/python/cirq_google/engine/processor_sampler",
            "page:reference/python/cirq_google/engine/runtime_estimator",
            "page:reference/python/cirq_google/engine/simulated_local_engine",
            "page:reference/python/cirq_google/engine/simulated_local_job",
            "page:reference/python/cirq_google/engine/simulated_local_processor",
            "page:reference/python/cirq_google/engine/simulated_local_program",
            "page:reference/python/cirq_google/engine/stream_manager",
            "page:reference/python/cirq_google/engine/stream_manager/ResponseDemux",
            "page:reference/python/cirq_google/engine/stream_manager/StreamError",
            "page:reference/python/cirq_google/engine/stream_manager/StreamManager",
            "page:reference/python/cirq_google/engine/util",
            "page:reference/python/cirq_google/engine/util/ZPhaseDataType",
            "page:reference/python/cirq_google/engine/util/pack_any",
            "page:reference/python/cirq_google/engine/util/unpack_any",
            "page:reference/python/cirq_google/engine/validating_sampler",
            "page:reference/python/cirq_google/engine/validating_sampler/VALIDATOR_TYPE",
            "page:reference/python/cirq_google/engine/virtual_engine_factory",
            "page:reference/python/cirq_google/engine/virtual_engine_factory/create_device_spec_from_processor_id",
            "page:reference/python/cirq_google/engine/virtual_engine_factory/create_noiseless_virtual_processor_from_proto",
            "page:reference/python/cirq_google/engine/virtual_engine_factory/create_noiseless_virtual_processor_from_template",
            "page:reference/python/cirq_google/engine/virtual_engine_factory/extract_gate_times_ns_from_device",
            "page:reference/python/cirq_google/experimental",
            "page:reference/python/cirq_google/experimental/CouplerPulse",
            "page:reference/python/cirq_google/experimental/PerQubitDepolarizingWithDampedReadoutNoiseModel",
            "page:reference/python/cirq_google/experimental/noise_models",
            "page:reference/python/cirq_google/experimental/noise_models/noise_models",
            "page:reference/python/cirq_google/experimental/noise_models/noise_models/exp",
            "page:reference/python/cirq_google/experimental/ops",
            "page:reference/python/cirq_google/experimental/ops/coupler_pulse",
            "page:reference/python/cirq_google/experimental/simple_noise_from_calibration_metrics",
            "page:reference/python/cirq_google/json_resolver_cache",
            "page:reference/python/cirq_google/line",
            "page:reference/python/cirq_google/line/AnnealSequenceSearchStrategy",
            "page:reference/python/cirq_google/line/GreedySequenceSearchStrategy",
            "page:reference/python/cirq_google/line/LinePlacementStrategy",
            "page:reference/python/cirq_google/line/line_on_device",
            "page:reference/python/cirq_google/line/placement",
            "page:reference/python/cirq_google/line/placement/GridQubitLineTuple",
            "page:reference/python/cirq_google/line/placement/anneal",
            "page:reference/python/cirq_google/line/placement/anneal/AnnealSequenceSearch",
            "page:reference/python/cirq_google/line/placement/anneal/EDGE",
            "page:reference/python/cirq_google/line/placement/anneal/LineSequence",
            "page:reference/python/cirq_google/line/placement/anneal/index_2d",
            "page:reference/python/cirq_google/line/placement/anneal_minimize",
            "page:reference/python/cirq_google/line/placement/chip",
            "page:reference/python/cirq_google/line/placement/chip/above",
            "page:reference/python/cirq_google/line/placement/chip/below",
            "page:reference/python/cirq_google/line/placement/chip/chip_as_adjacency_list",
            "page:reference/python/cirq_google/line/placement/chip/left_of",
            "page:reference/python/cirq_google/line/placement/chip/right_of",
            "page:reference/python/cirq_google/line/placement/greedy",
            "page:reference/python/cirq_google/line/placement/greedy/GreedySequenceSearch",
            "page:reference/python/cirq_google/line/placement/line",
            "page:reference/python/cirq_google/line/placement/optimization",
            "page:reference/python/cirq_google/line/placement/place_strategy",
            "page:reference/python/cirq_google/line/placement/sequence",
            "page:reference/python/cirq_google/line/placement/sequence/NotFoundError",
            "page:reference/python/cirq_google/ops",
            "page:reference/python/cirq_google/ops/AnalogDetuneCouplerOnly",
            "page:reference/python/cirq_google/ops/AnalogDetuneQubit",
            "page:reference/python/cirq_google/ops/CalibrationTag",
            "page:reference/python/cirq_google/ops/CompressDurationTag",
            "page:reference/python/cirq_google/ops/Coupler",
            "page:reference/python/cirq_google/ops/DynamicalDecouplingTag",
            "page:reference/python/cirq_google/ops/FSimGateFamily",
            "page:reference/python/cirq_google/ops/FSimViaModelTag",
            "page:reference/python/cirq_google/ops/InternalGate",
            "page:reference/python/cirq_google/ops/InternalTag",
            "page:reference/python/cirq_google/ops/LZSResetViaResonator",
            "page:reference/python/cirq_google/ops/LeakageISWAP",
            "page:reference/python/cirq_google/ops/MultiStepMultiLevelReset",
            "page:reference/python/cirq_google/ops/MultilevelResetViaResonator",
            "page:reference/python/cirq_google/ops/NoSyncTag",
            "page:reference/python/cirq_google/ops/PhysicalZTag",
            "page:reference/python/cirq_google/ops/SYC",
            "page:reference/python/cirq_google/ops/SycamoreGate",
            "page:reference/python/cirq_google/ops/TwoPulseFSimTag",
            "page:reference/python/cirq_google/ops/WILLOW",
            "page:reference/python/cirq_google/ops/WaitGateWithUnit",
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            "page:reference/python/cirq_google/ops/analog_detune_gates",
            "page:reference/python/cirq_google/ops/calibration_tag",
            "page:reference/python/cirq_google/ops/compress_duration_tag",
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            "page:reference/python/cirq_google/ops/fsim_gate_family",
            "page:reference/python/cirq_google/ops/fsim_via_model_tag",
            "page:reference/python/cirq_google/ops/internal_gate",
            "page:reference/python/cirq_google/ops/internal_gate/function_points_to_proto",
            "page:reference/python/cirq_google/ops/internal_tag",
            "page:reference/python/cirq_google/ops/leakage_iswap",
            "page:reference/python/cirq_google/ops/lzs_reset",
            "page:reference/python/cirq_google/ops/msmlr_reset",
            "page:reference/python/cirq_google/ops/multi_level_reset",
            "page:reference/python/cirq_google/ops/no_sync_tag",
            "page:reference/python/cirq_google/ops/physical_z_tag",
            "page:reference/python/cirq_google/ops/sycamore_gate",
            "page:reference/python/cirq_google/ops/two_pulse_fsim_tag",
            "page:reference/python/cirq_google/ops/wait_gate",
            "page:reference/python/cirq_google/ops/willow_gate",
            "page:reference/python/cirq_google/serialization",
            "page:reference/python/cirq_google/serialization/CircuitOpDeserializer",
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            "page:reference/python/cirq_google/serialization/arg_from_proto",
            "page:reference/python/cirq_google/serialization/arg_func_langs",
            "page:reference/python/cirq_google/serialization/arg_func_langs/arg_to_proto",
            "page:reference/python/cirq_google/serialization/arg_func_langs/clifford_tableau_arg_to_proto",
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            "page:reference/python/cirq_google/serialization/arg_func_langs/dict_from_arg_mapping_proto",
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            "page:reference/python/cirq_google/serialization/arg_func_langs/internal_gate_arg_to_proto",
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            "page:reference/python/cirq_google/serialization/circuit_serializer",
            "page:reference/python/cirq_google/serialization/op_deserializer",
            "page:reference/python/cirq_google/serialization/op_deserializer/OpDeserializer",
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            "page:reference/python/cirq_google/study",
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            "page:reference/python/cirq_google/study/device_parameter/SupportsDeviceParameter",
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            "page:reference/python/cirq_google/study/symbol_util/dict_param_name",
            "page:reference/python/cirq_google/study/symbol_util/direct_symbol_replacement",
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            "page:reference/python/cirq_google/transformers",
            "page:reference/python/cirq_google/transformers/GoogleCZTargetGateset",
            "page:reference/python/cirq_google/transformers/SYCGaugeTransformer",
            "page:reference/python/cirq_google/transformers/SycamoreTargetGateset",
            "page:reference/python/cirq_google/transformers/analytical_decompositions",
            "page:reference/python/cirq_google/transformers/analytical_decompositions/two_qubit_to_sycamore",
            "page:reference/python/cirq_google/transformers/known_2q_op_to_sycamore_operations",
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            "page:reference/python/cirq_google/transformers/target_gatesets",
            "page:reference/python/cirq_google/transformers/target_gatesets/google_cz_gateset",
            "page:reference/python/cirq_google/transformers/target_gatesets/sycamore_gateset",
            "page:reference/python/cirq_google/transformers/target_gatesets/sycamore_gateset/merge_swap_rzz_and_2q_unitaries",
            "page:reference/python/cirq_google/transformers/two_qubit_matrix_to_sycamore_operations",
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            "page:reference/python/cirq_google/workflow/CouldNotPlaceError",
            "page:reference/python/cirq_google/workflow/EngineProcessorRecord",
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            "page:reference/python/cirq_google/workflow/quantum_executable/TParamPair",
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            "page:reference/python/cirq_google/workflow/qubit_placement",
            "page:reference/python/cirq_google/workflow/qubit_placement/default_topo_node_to_qubit",
            "page:reference/python/cirq_ionq",
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            "page:reference/python/fqe",
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            "page:reference/python/fqe/bitstring",
            "page:reference/python/fqe/bitstring/check_conserved_bits",
            "page:reference/python/fqe/bitstring/count_bits",
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            "page:reference/python/fqe/cirq_utils",
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            "page:reference/python/fqe/cirq_utils/Y",
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            "page:reference/python/fqe/cirq_utils/qubit_op_to_gate",
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            "page:reference/python/fqe/cirq_utils/qubit_projection",
            "page:reference/python/fqe/cirq_utils/qubit_wavefunction_from_vacuum",
            "page:reference/python/fqe/diagonal_coulomb",
            "page:reference/python/fqe/diagonal_coulomb/DiagonalCoulomb",
            "page:reference/python/fqe/diagonal_hamiltonian",
            "page:reference/python/fqe/diagonal_hamiltonian/Diagonal",
            "page:reference/python/fqe/dot",
            "page:reference/python/fqe/expectationValue",
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            "page:reference/python/fqe/fci_graph/FciGraph",
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            "page:reference/python/fqe/fci_graph_set/FciGraphSet",
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            "page:reference/python/fqe/fqe_data/FqeData",
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            "page:reference/python/fqe/fqe_decorators/build_hamiltonian",
            "page:reference/python/fqe/fqe_decorators/check_diagonal_coulomb",
            "page:reference/python/fqe/fqe_decorators/fermionops_tomatrix",
            "page:reference/python/fqe/fqe_decorators/process_rank2_matrix",
            "page:reference/python/fqe/fqe_decorators/split_openfermion_tensor",
            "page:reference/python/fqe/fqe_decorators/transform_to_spin_broken",
            "page:reference/python/fqe/fqe_decorators/wrap_apply",
            "page:reference/python/fqe/fqe_decorators/wrap_apply_generated_unitary",
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            "page:reference/python/fqe/fqe_ops/fqe_ops_utils",
            "page:reference/python/fqe/fqe_ops/fqe_ops_utils/switch_broken_symmetry",
            "page:reference/python/fqe/fqe_ops/fqe_ops_utils/validate_rdm_string",
            "page:reference/python/fqe/from_cirq",
            "page:reference/python/fqe/general_hamiltonian",
            "page:reference/python/fqe/general_hamiltonian/General",
            "page:reference/python/fqe/get_diagonal_hamiltonian",
            "page:reference/python/fqe/get_diagonalcoulomb_hamiltonian",
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            "page:reference/python/fqe/get_gso_hamiltonian",
            "page:reference/python/fqe/get_hamiltonian_from_openfermion",
            "page:reference/python/fqe/get_number_conserving_wavefunction",
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            "page:reference/python/fqe/get_s2_operator",
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            "page:reference/python/fqe/gso_hamiltonian/GSOHamiltonian",
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            "page:reference/python/fqe/hamiltonians/hamiltonian/Hamiltonian",
            "page:reference/python/fqe/hamiltonians/hamiltonian_utils",
            "page:reference/python/fqe/hamiltonians/hamiltonian_utils/Newop",
            "page:reference/python/fqe/hamiltonians/hamiltonian_utils/antisymm_four_body",
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            "page:reference/python/fqe/hamiltonians/hamiltonian_utils/nbody_matrix",
            "page:reference/python/fqe/openfermion_utils",
            "page:reference/python/fqe/openfermion_utils/ascending_index_order",
            "page:reference/python/fqe/openfermion_utils/bit_to_fermion_creation",
            "page:reference/python/fqe/openfermion_utils/convert_qubit_wfn_to_fqe_syntax",
            "page:reference/python/fqe/openfermion_utils/determinant_to_ops",
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            "page:reference/python/fqe/openfermion_utils/integrals_to_fqe_restricted",
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            "page:reference/python/fqe/openfermion_utils/molecular_data_to_restricted_fqe_op",
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            "page:reference/python/fqe/restricted_hamiltonian/RestrictedHamiltonian",
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            "page:reference/python/fqe/sparse_hamiltonian/SparseHamiltonian",
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            "page:reference/python/fqe/wavefunction",
            "page:reference/python/fqe/wavefunction/Wavefunction",
            "page:reference/python/fqe/wavefunction/jv",
            "page:reference/python/fqe/wick",
            "page:reference/python/fqe/wick/Mapping",
            "page:reference/python/fqe/wick/wick",
            "page:reference/python/fqe/wick/wickfill",
            "page:reference/python/openfermion",
            "page:reference/python/openfermion/all_symbols",
            "page:reference/python/openfermion/chem",
            "page:reference/python/openfermion/chem/MolecularData",
            "page:reference/python/openfermion/chem/angstroms_to_bohr",
            "page:reference/python/openfermion/chem/antisymtei",
            "page:reference/python/openfermion/chem/bohr_to_angstroms",
            "page:reference/python/openfermion/chem/chemical_series",
            "page:reference/python/openfermion/chem/chemical_series/MolecularLatticeError",
            "page:reference/python/openfermion/chem/geometry_from_file",
            "page:reference/python/openfermion/chem/geometry_from_pubchem",
            "page:reference/python/openfermion/chem/j_mat",
            "page:reference/python/openfermion/chem/k_mat",
            "page:reference/python/openfermion/chem/load_molecular_hamiltonian",
            "page:reference/python/openfermion/chem/make_atom",
            "page:reference/python/openfermion/chem/make_atomic_lattice",
            "page:reference/python/openfermion/chem/make_atomic_ring",
            "page:reference/python/openfermion/chem/make_reduced_hamiltonian",
            "page:reference/python/openfermion/chem/molecular_data",
            "page:reference/python/openfermion/chem/molecular_data/MissingCalculationError",
            "page:reference/python/openfermion/chem/molecular_data/MoleculeNameError",
            "page:reference/python/openfermion/chem/molecular_data/spinorb_from_spatial",
            "page:reference/python/openfermion/chem/name_molecule",
            "page:reference/python/openfermion/chem/pubchem",
            "page:reference/python/openfermion/chem/reduced_hamiltonian",
            "page:reference/python/openfermion/circuits",
            "page:reference/python/openfermion/circuits/AsymmetricSplitOperatorTrotterStep",
            "page:reference/python/openfermion/circuits/CRxxyy",
            "page:reference/python/openfermion/circuits/CRyxxy",
            "page:reference/python/openfermion/circuits/ControlledAsymmetricSplitOperatorTrotterStep",
            "page:reference/python/openfermion/circuits/ControlledSymmetricSplitOperatorTrotterStep",
            "page:reference/python/openfermion/circuits/CubicFermionicSimulationGate",
            "page:reference/python/openfermion/circuits/DoubleExcitation",
            "page:reference/python/openfermion/circuits/DoubleExcitationGate",
            "page:reference/python/openfermion/circuits/FSWAP",
            "page:reference/python/openfermion/circuits/FSwapPowGate",
            "page:reference/python/openfermion/circuits/InteractionOperatorFermionicGate",
            "page:reference/python/openfermion/circuits/LinearSwapNetworkTrotterAlgorithm",
            "page:reference/python/openfermion/circuits/LowRankTrotterAlgorithm",
            "page:reference/python/openfermion/circuits/ParityPreservingFermionicGate",
            "page:reference/python/openfermion/circuits/QuadraticFermionicSimulationGate",
            "page:reference/python/openfermion/circuits/QuarticFermionicSimulationGate",
            "page:reference/python/openfermion/circuits/Rxxyy",
            "page:reference/python/openfermion/circuits/Ryxxy",
            "page:reference/python/openfermion/circuits/Rzz",
            "page:reference/python/openfermion/circuits/SplitOperatorTrotterAlgorithm",
            "page:reference/python/openfermion/circuits/SplitOperatorTrotterStep",
            "page:reference/python/openfermion/circuits/SymmetricSplitOperatorTrotterStep",
            "page:reference/python/openfermion/circuits/TrotterAlgorithm",
            "page:reference/python/openfermion/circuits/TrotterStep",
            "page:reference/python/openfermion/circuits/bit_mask_of_modes_acted_on_by_fermionic_terms",
            "page:reference/python/openfermion/circuits/bogoliubov_transform",
            "page:reference/python/openfermion/circuits/diagonal_coulomb_potential_and_kinetic_terms_as_arrays",
            "page:reference/python/openfermion/circuits/error_bound",
            "page:reference/python/openfermion/circuits/error_operator",
            "page:reference/python/openfermion/circuits/fermionic_simulation_gates_from_interaction_operator",
            "page:reference/python/openfermion/circuits/fermionic_swap_trotter_error_operator_diagonal_two_body",
            "page:reference/python/openfermion/circuits/ffft",
            "page:reference/python/openfermion/circuits/gates",
            "page:reference/python/openfermion/circuits/gates/common_gates",
            "page:reference/python/openfermion/circuits/gates/fermionic_simulation",
            "page:reference/python/openfermion/circuits/gates/four_qubit_gates",
            "page:reference/python/openfermion/circuits/gates/three_qubit_gates",
            "page:reference/python/openfermion/circuits/gaussian_state_preparation_circuit",
            "page:reference/python/openfermion/circuits/get_chemist_two_body_coefficients",
            "page:reference/python/openfermion/circuits/jw_get_gaussian_state",
            "page:reference/python/openfermion/circuits/jw_slater_determinant",
            "page:reference/python/openfermion/circuits/lambda_norm",
            "page:reference/python/openfermion/circuits/lcu_util",
            "page:reference/python/openfermion/circuits/low_depth_second_order_trotter_error_bound",
            "page:reference/python/openfermion/circuits/low_depth_second_order_trotter_error_operator",
            "page:reference/python/openfermion/circuits/low_rank",
            "page:reference/python/openfermion/circuits/low_rank_two_body_decomposition",
            "page:reference/python/openfermion/circuits/optimal_givens_decomposition",
            "page:reference/python/openfermion/circuits/pauli_exp_to_qasm",
            "page:reference/python/openfermion/circuits/prepare_gaussian_state",
            "page:reference/python/openfermion/circuits/prepare_one_body_squared_evolution",
            "page:reference/python/openfermion/circuits/prepare_slater_determinant",
            "page:reference/python/openfermion/circuits/preprocess_lcu_coefficients_for_reversible_sampling",
            "page:reference/python/openfermion/circuits/primitives",
            "page:reference/python/openfermion/circuits/primitives/state_preparation",
            "page:reference/python/openfermion/circuits/rot11",
            "page:reference/python/openfermion/circuits/rot111",
            "page:reference/python/openfermion/circuits/simulate_trotter",
            "page:reference/python/openfermion/circuits/simulation_ordered_grouped_hubbard_terms_with_info",
            "page:reference/python/openfermion/circuits/simulation_ordered_grouped_low_depth_terms_with_info",
            "page:reference/python/openfermion/circuits/slater_determinant_preparation_circuit",
            "page:reference/python/openfermion/circuits/slater_determinants",
            "page:reference/python/openfermion/circuits/split_operator_trotter_error_operator_diagonal_two_body",
            "page:reference/python/openfermion/circuits/stagger_with_info",
            "page:reference/python/openfermion/circuits/state_swap_eigen_component",
            "page:reference/python/openfermion/circuits/sum_of_interaction_operator_gate_generators",
            "page:reference/python/openfermion/circuits/swap_network",
            "page:reference/python/openfermion/circuits/trotter",
            "page:reference/python/openfermion/circuits/trotter/algorithms",
            "page:reference/python/openfermion/circuits/trotter/algorithms/linear_swap_network",
            "page:reference/python/openfermion/circuits/trotter/algorithms/linear_swap_network/AsymmetricLinearSwapNetworkTrotterStep",
            "page:reference/python/openfermion/circuits/trotter/algorithms/linear_swap_network/ControlledAsymmetricLinearSwapNetworkTrotterStep",
            "page:reference/python/openfermion/circuits/trotter/algorithms/linear_swap_network/ControlledSymmetricLinearSwapNetworkTrotterStep",
            "page:reference/python/openfermion/circuits/trotter/algorithms/linear_swap_network/LinearSwapNetworkTrotterStep",
            "page:reference/python/openfermion/circuits/trotter/algorithms/linear_swap_network/SymmetricLinearSwapNetworkTrotterStep",
            "page:reference/python/openfermion/circuits/trotter/algorithms/low_rank",
            "page:reference/python/openfermion/circuits/trotter/algorithms/low_rank/AsymmetricLowRankTrotterStep",
            "page:reference/python/openfermion/circuits/trotter/algorithms/low_rank/ControlledAsymmetricLowRankTrotterStep",
            "page:reference/python/openfermion/circuits/trotter/algorithms/low_rank/LowRankTrotterStep",
            "page:reference/python/openfermion/circuits/trotter/algorithms/split_operator",
            "page:reference/python/openfermion/circuits/trotter/diagonal_coulomb_trotter_error",
            "page:reference/python/openfermion/circuits/trotter/hubbard_trotter_error",
            "page:reference/python/openfermion/circuits/trotter/low_depth_trotter_error",
            "page:reference/python/openfermion/circuits/trotter/low_depth_trotter_error/ordered_low_depth_terms_no_info",
            "page:reference/python/openfermion/circuits/trotter/trotter_algorithm",
            "page:reference/python/openfermion/circuits/trotter/trotter_algorithm/Hamiltonian",
            "page:reference/python/openfermion/circuits/trotter/trotter_error",
            "page:reference/python/openfermion/circuits/trotter/trotter_error/ceil",
            "page:reference/python/openfermion/circuits/trotter/trotter_error/commutator",
            "page:reference/python/openfermion/circuits/trotter/trotter_error/sqrt",
            "page:reference/python/openfermion/circuits/trotter/trotter_error/trivially_commutes",
            "page:reference/python/openfermion/circuits/trotter/trotter_error/trivially_double_commutes",
            "page:reference/python/openfermion/circuits/trotter_exp_to_qgates",
            "page:reference/python/openfermion/circuits/trotter_operator_grouping",
            "page:reference/python/openfermion/circuits/trotter_steps_required",
            "page:reference/python/openfermion/circuits/trotter_steps_required_propagator",
            "page:reference/python/openfermion/circuits/trotterize_exp_qubop_to_qasm",
            "page:reference/python/openfermion/circuits/uccsd_convert_amplitude_format",
            "page:reference/python/openfermion/circuits/uccsd_generator",
            "page:reference/python/openfermion/circuits/uccsd_singlet_generator",
            "page:reference/python/openfermion/circuits/uccsd_singlet_get_packed_amplitudes",
            "page:reference/python/openfermion/circuits/uccsd_singlet_paramsize",
            "page:reference/python/openfermion/circuits/unitary_cc",
            "page:reference/python/openfermion/circuits/vpe_circuits",
            "page:reference/python/openfermion/circuits/vpe_circuits_single_timestep",
            "page:reference/python/openfermion/circuits/vpe_single_circuit",
            "page:reference/python/openfermion/config",
            "page:reference/python/openfermion/config/get_available_cpu_count",
            "page:reference/python/openfermion/config/set_threading_limits",
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            "page:reference/python/openfermion/contrib",
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            "page:reference/python/openfermion/functionals",
            "page:reference/python/openfermion/functionals/get_one_norm",
            "page:reference/python/openfermion/functionals/get_one_norm_int",
            "page:reference/python/openfermion/functionals/get_one_norm_int_woconst",
            "page:reference/python/openfermion/functionals/get_one_norm_mol",
            "page:reference/python/openfermion/functionals/get_one_norm_mol_woconst",
            "page:reference/python/openfermion/hamiltonians",
            "page:reference/python/openfermion/hamiltonians/FermiHubbardModel",
            "page:reference/python/openfermion/hamiltonians/HartreeFockFunctional",
            "page:reference/python/openfermion/hamiltonians/RichardsonGaudin",
            "page:reference/python/openfermion/hamiltonians/bose_hubbard",
            "page:reference/python/openfermion/hamiltonians/dual_basis_external_potential",
            "page:reference/python/openfermion/hamiltonians/dual_basis_jellium_model",
            "page:reference/python/openfermion/hamiltonians/dual_basis_kinetic",
            "page:reference/python/openfermion/hamiltonians/dual_basis_potential",
            "page:reference/python/openfermion/hamiltonians/fermi_hubbard",
            "page:reference/python/openfermion/hamiltonians/general_hubbard",
            "page:reference/python/openfermion/hamiltonians/general_hubbard/InteractionParameter",
            "page:reference/python/openfermion/hamiltonians/general_hubbard/PotentialParameter",
            "page:reference/python/openfermion/hamiltonians/general_hubbard/TunnelingParameter",
            "page:reference/python/openfermion/hamiltonians/general_hubbard/number_operator",
            "page:reference/python/openfermion/hamiltonians/generate_hamiltonian",
            "page:reference/python/openfermion/hamiltonians/get_matrix_of_eigs",
            "page:reference/python/openfermion/hamiltonians/hartree_fock",
            "page:reference/python/openfermion/hamiltonians/hartree_fock/InputError",
            "page:reference/python/openfermion/hamiltonians/hartree_fock_state_jellium",
            "page:reference/python/openfermion/hamiltonians/hubbard",
            "page:reference/python/openfermion/hamiltonians/hypercube_grid_with_given_wigner_seitz_radius_and_filling",
            "page:reference/python/openfermion/hamiltonians/interaction_operator",
            "page:reference/python/openfermion/hamiltonians/jellium",
            "page:reference/python/openfermion/hamiltonians/jellium/coulomb_potential_momentum",
            "page:reference/python/openfermion/hamiltonians/jellium_hf_state",
            "page:reference/python/openfermion/hamiltonians/jellium_model",
            "page:reference/python/openfermion/hamiltonians/jordan_wigner_dual_basis_hamiltonian",
            "page:reference/python/openfermion/hamiltonians/jordan_wigner_dual_basis_jellium",
            "page:reference/python/openfermion/hamiltonians/lowest_single_particle_energy_states",
            "page:reference/python/openfermion/hamiltonians/majorana_operator",
            "page:reference/python/openfermion/hamiltonians/mean_field_dwave",
            "page:reference/python/openfermion/hamiltonians/number_difference_operator",
            "page:reference/python/openfermion/hamiltonians/number_operator",
            "page:reference/python/openfermion/hamiltonians/plane_wave_external_potential",
            "page:reference/python/openfermion/hamiltonians/plane_wave_hamiltonian",
            "page:reference/python/openfermion/hamiltonians/plane_wave_kinetic",
            "page:reference/python/openfermion/hamiltonians/plane_wave_potential",
            "page:reference/python/openfermion/hamiltonians/rhf_func_generator",
            "page:reference/python/openfermion/hamiltonians/rhf_minimization",
            "page:reference/python/openfermion/hamiltonians/rhf_params_to_matrix",
            "page:reference/python/openfermion/hamiltonians/richardson_gaudin",
            "page:reference/python/openfermion/hamiltonians/s_minus_operator",
            "page:reference/python/openfermion/hamiltonians/s_plus_operator",
            "page:reference/python/openfermion/hamiltonians/s_squared_operator",
            "page:reference/python/openfermion/hamiltonians/special_operators",
            "page:reference/python/openfermion/hamiltonians/sx_operator",
            "page:reference/python/openfermion/hamiltonians/sy_operator",
            "page:reference/python/openfermion/hamiltonians/sz_operator",
            "page:reference/python/openfermion/hamiltonians/tunneling_operator",
            "page:reference/python/openfermion/hamiltonians/wigner_seitz_length_scale",
            "page:reference/python/openfermion/heaviside",
            "page:reference/python/openfermion/higham_polynomial",
            "page:reference/python/openfermion/higham_root",
            "page:reference/python/openfermion/linalg",
            "page:reference/python/openfermion/linalg/Davidson",
            "page:reference/python/openfermion/linalg/DavidsonError",
            "page:reference/python/openfermion/linalg/DavidsonOptions",
            "page:reference/python/openfermion/linalg/LinearQubitOperator",
            "page:reference/python/openfermion/linalg/LinearQubitOperatorOptions",
            "page:reference/python/openfermion/linalg/ParallelLinearQubitOperator",
            "page:reference/python/openfermion/linalg/QubitDavidson",
            "page:reference/python/openfermion/linalg/SparseDavidson",
            "page:reference/python/openfermion/linalg/append_random_vectors",
            "page:reference/python/openfermion/linalg/boson_ladder_sparse",
            "page:reference/python/openfermion/linalg/boson_operator_sparse",
            "page:reference/python/openfermion/linalg/davidson",
            "page:reference/python/openfermion/linalg/double_givens_rotate",
            "page:reference/python/openfermion/linalg/eigenspectrum",
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            "page:reference/python/openfermion/linalg/erpa/einsum",
            "page:reference/python/openfermion/linalg/erpa_eom_hamiltonian",
            "page:reference/python/openfermion/linalg/expectation",
            "page:reference/python/openfermion/linalg/expectation_computational_basis_state",
            "page:reference/python/openfermion/linalg/expectation_db_operator_with_pw_basis_state",
            "page:reference/python/openfermion/linalg/expectation_one_body_db_operator_computational_basis_state",
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            "page:reference/python/openfermion/linalg/fermionic_gaussian_decomposition",
            "page:reference/python/openfermion/linalg/fit_known_frequencies",
            "page:reference/python/openfermion/linalg/generate_linear_qubit_operator",
            "page:reference/python/openfermion/linalg/generate_parity_permutations",
            "page:reference/python/openfermion/linalg/generate_random_vectors",
            "page:reference/python/openfermion/linalg/get_density_matrix",
            "page:reference/python/openfermion/linalg/get_gap",
            "page:reference/python/openfermion/linalg/get_ground_state",
            "page:reference/python/openfermion/linalg/get_linear_qubit_operator_diagonal",
            "page:reference/python/openfermion/linalg/get_number_preserving_sparse_operator",
            "page:reference/python/openfermion/linalg/get_sparse_operator",
            "page:reference/python/openfermion/linalg/givens_decomposition",
            "page:reference/python/openfermion/linalg/givens_decomposition_square",
            "page:reference/python/openfermion/linalg/givens_matrix_elements",
            "page:reference/python/openfermion/linalg/givens_rotate",
            "page:reference/python/openfermion/linalg/givens_rotations",
            "page:reference/python/openfermion/linalg/inner_product",
            "page:reference/python/openfermion/linalg/jordan_wigner_ladder_sparse",
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            "page:reference/python/openfermion/linalg/jw_configuration_state",
            "page:reference/python/openfermion/linalg/jw_get_ground_state_at_particle_number",
            "page:reference/python/openfermion/linalg/jw_hartree_fock_state",
            "page:reference/python/openfermion/linalg/jw_number_indices",
            "page:reference/python/openfermion/linalg/jw_number_restrict_operator",
            "page:reference/python/openfermion/linalg/jw_number_restrict_state",
            "page:reference/python/openfermion/linalg/jw_sparse_givens_rotation",
            "page:reference/python/openfermion/linalg/jw_sparse_particle_hole_transformation_last_mode",
            "page:reference/python/openfermion/linalg/jw_sz_indices",
            "page:reference/python/openfermion/linalg/jw_sz_restrict_operator",
            "page:reference/python/openfermion/linalg/jw_sz_restrict_state",
            "page:reference/python/openfermion/linalg/kronecker_operators",
            "page:reference/python/openfermion/linalg/linear_qubit_operator",
            "page:reference/python/openfermion/linalg/linear_qubit_operator/apply_operator",
            "page:reference/python/openfermion/linalg/orthonormalize",
            "page:reference/python/openfermion/linalg/prony",
            "page:reference/python/openfermion/linalg/qubit_operator_sparse",
            "page:reference/python/openfermion/linalg/rdm_reconstruction",
            "page:reference/python/openfermion/linalg/single_quad_op_sparse",
            "page:reference/python/openfermion/linalg/singlet_erpa",
            "page:reference/python/openfermion/linalg/sparse_eigenspectrum",
            "page:reference/python/openfermion/linalg/sparse_tools",
            "page:reference/python/openfermion/linalg/sparse_tools/reduce",
            "page:reference/python/openfermion/linalg/swap_columns",
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            "page:reference/python/openfermion/linalg/valdemoro_reconstruction",
            "page:reference/python/openfermion/linalg/variance",
            "page:reference/python/openfermion/linalg/wave_fitting",
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            "page:reference/python/openfermion/linalg/wedge_product/factorial",
            "page:reference/python/openfermion/linalg/wrapped_kronecker",
            "page:reference/python/openfermion/map_to_matrix",
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            "page:reference/python/openfermion/measurements/equality_constraint_projection",
            "page:reference/python/openfermion/measurements/fermion_partitioning",
            "page:reference/python/openfermion/measurements/fermion_partitioning/Pairing",
            "page:reference/python/openfermion/measurements/get_interaction_rdm",
            "page:reference/python/openfermion/measurements/get_phase_function",
            "page:reference/python/openfermion/measurements/group_into_tensor_product_basis_sets",
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            "page:reference/python/openfermion/measurements/unlinearize_term",
            "page:reference/python/openfermion/measurements/vector_to_operator",
            "page:reference/python/openfermion/measurements/vpe_estimators",
            "page:reference/python/openfermion/ops",
            "page:reference/python/openfermion/ops/BinaryCode",
            "page:reference/python/openfermion/ops/BinaryCodeError",
            "page:reference/python/openfermion/ops/BinaryPolynomial",
            "page:reference/python/openfermion/ops/BinaryPolynomialError",
            "page:reference/python/openfermion/ops/BosonOperator",
            "page:reference/python/openfermion/ops/DOCIHamiltonian",
            "page:reference/python/openfermion/ops/DiagonalCoulombHamiltonian",
            "page:reference/python/openfermion/ops/FermionOperator",
            "page:reference/python/openfermion/ops/InteractionOperator",
            "page:reference/python/openfermion/ops/InteractionOperatorError",
            "page:reference/python/openfermion/ops/InteractionRDM",
            "page:reference/python/openfermion/ops/InteractionRDMError",
            "page:reference/python/openfermion/ops/IsingOperator",
            "page:reference/python/openfermion/ops/MajoranaOperator",
            "page:reference/python/openfermion/ops/PolynomialTensor",
            "page:reference/python/openfermion/ops/PolynomialTensorError",
            "page:reference/python/openfermion/ops/QuadOperator",
            "page:reference/python/openfermion/ops/QuadraticHamiltonian",
            "page:reference/python/openfermion/ops/QuadraticHamiltonianError",
            "page:reference/python/openfermion/ops/QubitOperator",
            "page:reference/python/openfermion/ops/SymbolicOperator",
            "page:reference/python/openfermion/ops/antisymmetric_canonical_form",
            "page:reference/python/openfermion/ops/double_decoding",
            "page:reference/python/openfermion/ops/general_basis_change",
            "page:reference/python/openfermion/ops/operators",
            "page:reference/python/openfermion/ops/operators/binary_code",
            "page:reference/python/openfermion/ops/operators/binary_polynomial",
            "page:reference/python/openfermion/ops/operators/binary_sum_rule",
            "page:reference/python/openfermion/ops/operators/boson_operator",
            "page:reference/python/openfermion/ops/operators/fermion_operator",
            "page:reference/python/openfermion/ops/operators/ising_operator",
            "page:reference/python/openfermion/ops/operators/majorana_operator",
            "page:reference/python/openfermion/ops/operators/quad_operator",
            "page:reference/python/openfermion/ops/operators/qubit_operator",
            "page:reference/python/openfermion/ops/operators/symbolic_operator",
            "page:reference/python/openfermion/ops/representations",
            "page:reference/python/openfermion/ops/representations/diagonal_coulomb_hamiltonian",
            "page:reference/python/openfermion/ops/representations/doci_hamiltonian",
            "page:reference/python/openfermion/ops/representations/doci_hamiltonian/get_doci_from_integrals",
            "page:reference/python/openfermion/ops/representations/doci_hamiltonian/get_projected_integrals_from_doci",
            "page:reference/python/openfermion/ops/representations/doci_hamiltonian/get_tensors_from_doci",
            "page:reference/python/openfermion/ops/representations/get_active_space_integrals",
            "page:reference/python/openfermion/ops/representations/get_tensors_from_integrals",
            "page:reference/python/openfermion/ops/representations/interaction_operator",
            "page:reference/python/openfermion/ops/representations/interaction_rdm",
            "page:reference/python/openfermion/ops/representations/polynomial_tensor",
            "page:reference/python/openfermion/ops/representations/quadratic_hamiltonian",
            "page:reference/python/openfermion/ops/shift_decoder",
            "page:reference/python/openfermion/testing",
            "page:reference/python/openfermion/testing/EqualsTester",
            "page:reference/python/openfermion/testing/assert_equivalent_repr",
            "page:reference/python/openfermion/testing/assert_implements_consistent_protocols",
            "page:reference/python/openfermion/testing/circuit_validation",
            "page:reference/python/openfermion/testing/haar_random_vector",
            "page:reference/python/openfermion/testing/module_importable",
            "page:reference/python/openfermion/testing/random",
            "page:reference/python/openfermion/testing/random_antisymmetric_matrix",
            "page:reference/python/openfermion/testing/random_diagonal_coulomb_hamiltonian",
            "page:reference/python/openfermion/testing/random_hermitian_matrix",
            "page:reference/python/openfermion/testing/random_interaction_operator",
            "page:reference/python/openfermion/testing/random_interaction_operator_term",
            "page:reference/python/openfermion/testing/random_quadratic_hamiltonian",
            "page:reference/python/openfermion/testing/random_qubit_operator",
            "page:reference/python/openfermion/testing/random_unitary_matrix",
            "page:reference/python/openfermion/testing/retry_once_with_later_random_values",
            "page:reference/python/openfermion/testing/testing_utils",
            "page:reference/python/openfermion/testing/validate_trotterized_evolution",
            "page:reference/python/openfermion/testing/wrapped",
            "page:reference/python/openfermion/transforms",
            "page:reference/python/openfermion/transforms/FenwickNode",
            "page:reference/python/openfermion/transforms/FenwickTree",
            "page:reference/python/openfermion/transforms/StabilizerError",
            "page:reference/python/openfermion/transforms/binary_code_transform",
            "page:reference/python/openfermion/transforms/bravyi_kitaev",
            "page:reference/python/openfermion/transforms/bravyi_kitaev_code",
            "page:reference/python/openfermion/transforms/bravyi_kitaev_fast",
            "page:reference/python/openfermion/transforms/bravyi_kitaev_fast_edge_matrix",
            "page:reference/python/openfermion/transforms/bravyi_kitaev_fast_interaction_op",
            "page:reference/python/openfermion/transforms/bravyi_kitaev_tree",
            "page:reference/python/openfermion/transforms/check_commuting_stabilizers",
            "page:reference/python/openfermion/transforms/check_no_sympy",
            "page:reference/python/openfermion/transforms/check_stabilizer_linearity",
            "page:reference/python/openfermion/transforms/checksum_code",
            "page:reference/python/openfermion/transforms/chemist_ordered",
            "page:reference/python/openfermion/transforms/commutator_ordered_diagonal_coulomb_with_two_body_operator",
            "page:reference/python/openfermion/transforms/fix_single_term",
            "page:reference/python/openfermion/transforms/fourier_transform",
            "page:reference/python/openfermion/transforms/freeze_orbitals",
            "page:reference/python/openfermion/transforms/get_boson_operator",
            "page:reference/python/openfermion/transforms/get_diagonal_coulomb_hamiltonian",
            "page:reference/python/openfermion/transforms/get_fermion_operator",
            "page:reference/python/openfermion/transforms/get_interaction_operator",
            "page:reference/python/openfermion/transforms/get_majorana_operator",
            "page:reference/python/openfermion/transforms/get_molecular_data",
            "page:reference/python/openfermion/transforms/get_quad_operator",
            "page:reference/python/openfermion/transforms/get_quadratic_hamiltonian",
            "page:reference/python/openfermion/transforms/interleaved_code",
            "page:reference/python/openfermion/transforms/inverse_fourier_transform",
            "page:reference/python/openfermion/transforms/jordan_wigner",
            "page:reference/python/openfermion/transforms/jordan_wigner_code",
            "page:reference/python/openfermion/transforms/jordan_wigner_one_body",
            "page:reference/python/openfermion/transforms/jordan_wigner_two_body",
            "page:reference/python/openfermion/transforms/linearize_decoder",
            "page:reference/python/openfermion/transforms/mccoy",
            "page:reference/python/openfermion/transforms/normal_ordered",
            "page:reference/python/openfermion/transforms/normal_ordered_ladder_term",
            "page:reference/python/openfermion/transforms/normal_ordered_quad_term",
            "page:reference/python/openfermion/transforms/opconversions",
            "page:reference/python/openfermion/transforms/opconversions/binary_codes",
            "page:reference/python/openfermion/transforms/opconversions/bksf",
            "page:reference/python/openfermion/transforms/opconversions/commutator_diagonal_coulomb_operator",
            "page:reference/python/openfermion/transforms/opconversions/conversions",
            "page:reference/python/openfermion/transforms/opconversions/dissolve",
            "page:reference/python/openfermion/transforms/opconversions/edge_operator_aij",
            "page:reference/python/openfermion/transforms/opconversions/edge_operator_b",
            "page:reference/python/openfermion/transforms/opconversions/edit_hamiltonian_for_spin",
            "page:reference/python/openfermion/transforms/opconversions/extractor",
            "page:reference/python/openfermion/transforms/opconversions/fenwick_tree",
            "page:reference/python/openfermion/transforms/opconversions/generate_fermions",
            "page:reference/python/openfermion/transforms/opconversions/inline_product",
            "page:reference/python/openfermion/transforms/opconversions/inline_sum",
            "page:reference/python/openfermion/transforms/opconversions/make_parity_list",
            "page:reference/python/openfermion/transforms/opconversions/number_operator",
            "page:reference/python/openfermion/transforms/opconversions/qubitoperator_to_paulisum",
            "page:reference/python/openfermion/transforms/opconversions/remove_symmetry_qubits",
            "page:reference/python/openfermion/transforms/opconversions/remove_symmetry_qubits/remove_indices",
            "page:reference/python/openfermion/transforms/opconversions/term_reordering",
            "page:reference/python/openfermion/transforms/opconversions/vacuum_operator",
            "page:reference/python/openfermion/transforms/opconversions/verstraete_cirac",
            "page:reference/python/openfermion/transforms/opconversions/verstraete_cirac/auxiliary_graph_2d_square",
            "page:reference/python/openfermion/transforms/opconversions/verstraete_cirac/coordinates_to_snake_index",
            "page:reference/python/openfermion/transforms/opconversions/verstraete_cirac/expand_aux_index",
            "page:reference/python/openfermion/transforms/opconversions/verstraete_cirac/expand_sys_index",
            "page:reference/python/openfermion/transforms/opconversions/verstraete_cirac/lexicographic_index_to_snake_index",
            "page:reference/python/openfermion/transforms/opconversions/verstraete_cirac/row_indices_snake",
            "page:reference/python/openfermion/transforms/opconversions/verstraete_cirac/snake_index_to_coordinates",
            "page:reference/python/openfermion/transforms/opconversions/verstraete_cirac/stabilizer",
            "page:reference/python/openfermion/transforms/opconversions/verstraete_cirac/stabilizer_local_2d_square",
            "page:reference/python/openfermion/transforms/parity_code",
            "page:reference/python/openfermion/transforms/project_onto_sector",
            "page:reference/python/openfermion/transforms/projection_error",
            "page:reference/python/openfermion/transforms/prune_unused_indices",
            "page:reference/python/openfermion/transforms/qubit_operator_to_pauli_sum",
            "page:reference/python/openfermion/transforms/reduce_number_of_terms",
            "page:reference/python/openfermion/transforms/reorder",
            "page:reference/python/openfermion/transforms/repconversions",
            "page:reference/python/openfermion/transforms/repconversions/conversions",
            "page:reference/python/openfermion/transforms/repconversions/fourier_transforms",
            "page:reference/python/openfermion/transforms/repconversions/operator_tapering",
            "page:reference/python/openfermion/transforms/repconversions/qubit_operator_transforms",
            "page:reference/python/openfermion/transforms/repconversions/qubit_tapering_from_stabilizer",
            "page:reference/python/openfermion/transforms/repconversions/weyl_ordering",
            "page:reference/python/openfermion/transforms/repconversions/weyl_ordering/binom",
            "page:reference/python/openfermion/transforms/reverse_jordan_wigner",
            "page:reference/python/openfermion/transforms/rotate_qubit_by_pauli",
            "page:reference/python/openfermion/transforms/symmetric_ordering",
            "page:reference/python/openfermion/transforms/symmetry_conserving_bravyi_kitaev",
            "page:reference/python/openfermion/transforms/taper_off_qubits",
            "page:reference/python/openfermion/transforms/verstraete_cirac_2d_square",
            "page:reference/python/openfermion/transforms/vertical_edges_snake",
            "page:reference/python/openfermion/transforms/weight_one_binary_addressing_code",
            "page:reference/python/openfermion/transforms/weight_one_segment_code",
            "page:reference/python/openfermion/transforms/weight_two_segment_code",
            "page:reference/python/openfermion/transforms/weyl_polynomial_quantization",
            "page:reference/python/openfermion/utils",
            "page:reference/python/openfermion/utils/Grid",
            "page:reference/python/openfermion/utils/HubbardLattice",
            "page:reference/python/openfermion/utils/HubbardSquareLattice",
            "page:reference/python/openfermion/utils/OperatorSpecificationError",
            "page:reference/python/openfermion/utils/OperatorUtilsError",
            "page:reference/python/openfermion/utils/Spin",
            "page:reference/python/openfermion/utils/SpinPairs",
            "page:reference/python/openfermion/utils/amplitude_damping_channel",
            "page:reference/python/openfermion/utils/anticommutator",
            "page:reference/python/openfermion/utils/bch_expand",
            "page:reference/python/openfermion/utils/bch_expansion",
            "page:reference/python/openfermion/utils/channel_state",
            "page:reference/python/openfermion/utils/channel_state/array",
            "page:reference/python/openfermion/utils/channel_state/dot",
            "page:reference/python/openfermion/utils/channel_state/kron",
            "page:reference/python/openfermion/utils/channel_state/log2",
            "page:reference/python/openfermion/utils/channel_state/sqrt",
            "page:reference/python/openfermion/utils/commutator",
            "page:reference/python/openfermion/utils/commutators",
            "page:reference/python/openfermion/utils/count_qubits",
            "page:reference/python/openfermion/utils/dephasing_channel",
            "page:reference/python/openfermion/utils/depolarizing_channel",
            "page:reference/python/openfermion/utils/double_commutator",
            "page:reference/python/openfermion/utils/down_index",
            "page:reference/python/openfermion/utils/get_file_path",
            "page:reference/python/openfermion/utils/grid",
            "page:reference/python/openfermion/utils/grid/OrbitalSpecificationError",
            "page:reference/python/openfermion/utils/hermitian_conjugated",
            "page:reference/python/openfermion/utils/indexing",
            "page:reference/python/openfermion/utils/is_hermitian",
            "page:reference/python/openfermion/utils/is_identity",
            "page:reference/python/openfermion/utils/kronecker_delta",
            "page:reference/python/openfermion/utils/lattice",
            "page:reference/python/openfermion/utils/load_operator",
            "page:reference/python/openfermion/utils/map_one_hole_dm_to_one_pdm",
            "page:reference/python/openfermion/utils/map_one_pdm_to_one_hole_dm",
            "page:reference/python/openfermion/utils/map_particle_hole_dm_to_one_pdm",
            "page:reference/python/openfermion/utils/map_particle_hole_dm_to_two_pdm",
            "page:reference/python/openfermion/utils/map_two_hole_dm_to_one_hole_dm",
            "page:reference/python/openfermion/utils/map_two_hole_dm_to_two_pdm",
            "page:reference/python/openfermion/utils/map_two_pdm_to_one_pdm",
            "page:reference/python/openfermion/utils/map_two_pdm_to_particle_hole_dm",
            "page:reference/python/openfermion/utils/map_two_pdm_to_two_hole_dm",
            "page:reference/python/openfermion/utils/operator_utils",
            "page:reference/python/openfermion/utils/rdm_mapping_functions",
            "page:reference/python/openfermion/utils/save_operator",
            "page:reference/python/openfermion/utils/trivially_commutes_dual_basis",
            "page:reference/python/openfermion/utils/trivially_double_commutes_dual_basis",
            "page:reference/python/openfermion/utils/trivially_double_commutes_dual_basis_using_term_info",
            "page:reference/python/openfermion/utils/up_index",
            "page:reference/python/openfermion/utils/up_then_down",
            "page:reference/python/qsimcirq",
            "page:reference/python/qsimcirq/QSimCircuit",
            "page:reference/python/qsimcirq/QSimOptions",
            "page:reference/python/qsimcirq/QSimSimulator",
            "page:reference/python/qsimcirq/QSimhSimulator",
            "page:reference/python/qsimcirq/add_op_to_circuit",
            "page:reference/python/qsimcirq/add_op_to_opstring",
            "page:reference/python/qsimcirq/all_symbols",
            "page:reference/python/qsimcirq/qsim",
            "page:reference/python/qsimcirq/qsim/Circuit",
            "page:reference/python/qsimcirq/qsim/GateKind",
            "page:reference/python/qsimcirq/qsim/NoisyCircuit",
            "page:reference/python/qsimcirq/qsim/OpString",
            "page:reference/python/qsimcirq/qsim/add_channel",
            "page:reference/python/qsimcirq/qsim/add_diagonal_gate",
            "page:reference/python/qsimcirq/qsim/add_diagonal_gate_channel",
            "page:reference/python/qsimcirq/qsim/add_gate",
            "page:reference/python/qsimcirq/qsim/add_gate_channel",
            "page:reference/python/qsimcirq/qsim/add_gate_to_opstring",
            "page:reference/python/qsimcirq/qsim/add_matrix_gate",
            "page:reference/python/qsimcirq/qsim/add_matrix_gate_channel",
            "page:reference/python/qsimcirq/qsim/add_matrix_gate_to_opstring",
            "page:reference/python/qsimcirq/qsim/control_last_gate",
            "page:reference/python/qsimcirq/qsim/control_last_gate_channel",
            "page:reference/python/qsimcirq/qsim/qsim_sample",
            "page:reference/python/qsimcirq/qsim/qsim_sample_final",
            "page:reference/python/qsimcirq/qsim/qsim_simulate",
            "page:reference/python/qsimcirq/qsim/qsim_simulate_expectation_values",
            "page:reference/python/qsimcirq/qsim/qsim_simulate_fullstate",
            "page:reference/python/qsimcirq/qsim/qsim_simulate_moment_expectation_values",
            "page:reference/python/qsimcirq/qsim/qsimh_simulate",
            "page:reference/python/qsimcirq/qsim/qtrajectory_sample",
            "page:reference/python/qsimcirq/qsim/qtrajectory_sample_final",
            "page:reference/python/qsimcirq/qsim/qtrajectory_simulate",
            "page:reference/python/qsimcirq/qsim/qtrajectory_simulate_expectation_values",
            "page:reference/python/qsimcirq/qsim/qtrajectory_simulate_fullstate",
            "page:reference/python/qsimcirq/qsim/qtrajectory_simulate_moment_expectation_values",
            "page:reference/python/qsimcirq/qsim_decide",
            "page:reference/python/qsimcirq/qsim_decide/detect_custatevec",
            "page:reference/python/qsimcirq/qsim_decide/detect_gpu",
            "page:reference/python/qsimcirq/qsim_decide/detect_instructions"
          ]
        },
        "payload": {
          "collections": {
            "pages": {
              "versions": {
                "drafts": {
                  "autosave": true
                },
                "maxPerDoc": 0
              }
            }
          },
          "overRaid": "a version is a docket entry (fold address + SHA-256), its prev the earlier version; both answer by address, so a reader on either version reads whole; a draft is a commitment entry, publishing reveals it into the same address"
        },
        "quantum": "versions coexist: every block and page is addressed by content, the service worker keeps a shell per version, the ETag is the content hash, so an earlier version's addresses answer beside the new one's and nothing is invalidated by a release"
      }
    },
    {
      "kind": "migration",
      "torus": {
        "address": "f38ceaa2-3d5b-129a-ab77-2af7187e78ca",
        "seed": 4,
        "reflection": 6,
        "trinity": [
          7,
          4,
          1
        ],
        "closed": true,
        "bytes": 1434
      },
      "config": {
        "uptime": "100 %: no address is moved, so no reader waits",
        "providers": [
          "https://qpu.uuidna.com/mcp",
          "https://qpu.psg.bg/mcp",
          "https://qpu.ceci.workers.dev/mcp"
        ],
        "addProvider": "deploy the same Worker at the new provider; name its endpoint among the gate's hosts (QPU_E2E_HOSTS) and among the tenant's MCP hosts; the docket mirrors heal by address; the gate decodes old and new as copies of one value",
        "steps": [
          {
            "step": 1,
            "name": "deploy beside",
            "does": "the new version is deployed beside the old one; both answer every address (content addressing, ETag by content, a shell per version in the service worker)"
          },
          {
            "step": 2,
            "name": "mirror",
            "does": "the docket of each tenant is mirrored to the new provider by address; a missing entry heals from any mirror"
          },
          {
            "step": 3,
            "name": "decode",
            "does": "the e2e gate calls every combination on old and new hosts and decodes them as copies of one logical value; the migration is finished when every combination agrees and no erasure remains; a flip is a lead, never a cut-over"
          },
          {
            "step": 4,
            "name": "route",
            "does": "the custom domains point at the new provider; the old one keeps answering until the gate has agreed once more from the new route"
          },
          {
            "step": 5,
            "name": "rollback",
            "does": "the earlier version's addresses still answer: routing back is the whole rollback"
          }
        ],
        "measuredBy": "the e2e gate: versions per host, outcomes per combination, erasures per host; uptime is whole while every combination agrees"
      }
    },
    {
      "kind": "fullstack",
      "torus": {
        "address": "ddbb2616-2758-6fc1-b261-2976e33db9c5",
        "seed": 8,
        "reflection": 2,
        "trinity": [
          2,
          5,
          8
        ],
        "closed": true,
        "bytes": 6828
      },
      "config": {
        "repository": "https://github.com/payloadcms/website",
        "licence": "MIT",
        "qpuLicence": "CC-BY-NC-ND-4.0",
        "keep": {
          "collections": [
            "CaseStudies",
            "Categories",
            "CommunityHelp",
            "Docs",
            "DocsFeedback",
            "Media",
            "Pages",
            "PartnerFilters",
            "Partners",
            "Posts",
            "ReusableContent",
            "Users"
          ],
          "blocks": [
            "Banner",
            "BlogContent",
            "BlogMarkdown",
            "CallToAction",
            "Callout",
            "CardGrid",
            "CaseStudiesHighlight",
            "CaseStudyCards",
            "CaseStudyParallax",
            "Code",
            "CodeFeature",
            "ComparisonTable",
            "Content",
            "ContentGrid",
            "Download",
            "ExampleTabs",
            "Form",
            "HoverCards",
            "HoverHighlights",
            "LinkGrid",
            "LogoGrid",
            "Media",
            "MediaContent",
            "MediaContentAccordion",
            "Pricing",
            "ReusableContent",
            "Slider",
            "Statement",
            "Steps",
            "StickyHighlights"
          ],
          "globals": [
            "Footer",
            "GetStarted",
            "MainMenu",
            "PartnerProgram",
            "TopBar"
          ],
          "fields": [
            "addToDocs",
            "blockFields",
            "codeBlips",
            "fullTitle",
            "hero",
            "link",
            "linkGroup",
            "livestreamFields",
            "richText",
            "slug"
          ],
          "plugins": [
            "form-builder",
            "nested-docs",
            "redirects",
            "seo"
          ]
        },
        "add": {
          "block": "qpu",
          "plugins": [
            "search",
            "multi-tenant",
            "mcp"
          ],
          "database": "db-mongodb over the RAID docket (the mongo tool's language)",
          "storage": "Cloudflare R2 through the bindings MCP (the tenant's token)",
          "deploy": "Cloudflare Workers beside this Worker (run_worker_first keeps /mcp, /docket, /.well-known)",
          "tenants": [
            "uuidna",
            "psg"
          ]
        },
        "files": {
          "fullstack/src/blocks/Qpu/config.ts": "// Tsvetan Rouschev, @uuidna/qpu, CC-BY-NC-ND-4.0 (https://orcid.org/0009-0000-7312-9778)\n// Added to the MIT fork of payloadcms/website (Copyright (c) 2023 Payload); this file is QPU's: see NOTICE.qpu.md.\n// The qpu block: one lexical/layout block of programmable UUID logic, the shape every tools/call result already carries in _meta.payload.\nimport type { Block } from 'payload'\nexport const Qpu: Block = {\n  slug: 'qpu',\n  interfaceName: 'QpuBlock',\n  fields: [\n    { name: 'uuid', type: 'text', required: true, admin: { description: 'the block address: a content-addressed RFC 9562 v8 UUID' } },\n    { name: 'handle', type: 'text', required: true },\n    { name: 'program', type: 'text', required: true, admin: { description: 'the hex program (the version and variant nibbles rotated)' } },\n    { name: 'tail', type: 'text', required: true },\n    { name: 'tool', type: 'text', required: true, admin: { description: 'the tool whose result this block is' } },\n    { name: 'arguments', type: 'json', admin: { description: 'the arguments, so the block recomputes anywhere' } },\n    { name: 'prev', type: 'text', admin: { description: 'the referer block' } },\n    { name: 'next', type: 'text', admin: { description: 'the program rotated: the next step' } },\n    { name: 'theorem', type: 'text', admin: { description: 'the kernel-accepted theorem that makes this block true; written by the QPU as a client of this MCP, read from the textbook' } },\n  ],\n}\n",
          "fullstack/src/payload.qpu.config.ts": "// Tsvetan Rouschev, @uuidna/qpu, CC-BY-NC-ND-4.0 (https://orcid.org/0009-0000-7312-9778)\n// Added to the MIT fork of payloadcms/website (Copyright (c) 2023 Payload); this file is QPU's: see NOTICE.qpu.md.\n// QPU's full stack on the source of payloadcms.com (github.com/payloadcms/website, MIT): the qpu block beside the site's blocks, the\n// plugins MCP configures here that the site does not mount yet (its own four — form-builder, nested-docs, redirects, seo — stay as they are),\n// the database the RAID (the mongo tool's language over the docket). Generated by configure { kind: 'fullstack' }; imported by src/payload.config.ts.\nimport { searchPlugin } from '@payloadcms/plugin-search'\nimport { multiTenantPlugin } from '@payloadcms/plugin-multi-tenant'\nimport { Qpu } from './blocks/Qpu/config'\n\nexport const qpuBlocks = [Qpu] // beside the site's 30 blocks; referenced as 'qpu' in every layout\nexport const qpuPlugins = [\n  searchPlugin({ collections: ['pages', 'posts'] }),\n  multiTenantPlugin({ collections: { pages: {} }, tenantsSlug: 'tenants', userHasAccessToAllTenants: () => true } as never), // tenants: uuidna, psg\n]\nexport const qpuEnv = {\n  DATABASE_URI: \"the RAID docket of the tenant (the mongo tool's language), as the site's MongoDB\",\n  PAYLOAD_SECRET: \"the tenant's\",\n  R2: \"Cloudflare R2 through the bindings MCP once the tenant's token opens it (the site's vercel-blob until then)\",\n  QPU_ORIGIN: \"https://qpu.uuidna.com: the Worker that computes every qpu block and every /u/<uuid> page\",\n}\n",
          "fullstack/README.md": "# QPU full stack\n\nThe source of payloadcms.com (MIT) is the full stack, forked under site/: its 12 collections, 30 blocks, 5 globals and 10 fields kept. Applied: `src/blocks/Qpu/config.ts` (the qpu block, the shape every tools/call result carries in _meta.payload), registered in payload.config blocks and the pages layout; `src/components/blocks/Qpu/index.tsx` (the renderer: the page asks the Worker for the block and carries its widget), mapped in RenderBlocks; `src/payload.qpu.config.ts` (search and multi-tenant beside the site's four plugins, the database the RAID); `src/collections/Tenants.ts` (the multi-tenant plugin's own collection: the hosts that name the tenants). The catch-all makes prefixes useless: next.config rewrites any path that is a UUID to the Worker's page before the catch-all, and /mcp, /docket and /.well-known to the Worker. Deploy at Cloudflare beside this Worker; every step at whole uptime: configure { kind: 'migration' }.\n",
          "fullstack/NOTICE.qpu.md": "# Licences in this fork\n\n- The fork itself is the MIT-licensed source of payloadcms.com (Copyright (c) 2023 Payload); its LICENSE file stands whole and every file of the original stays under it.\n- What QPU adds carries QPU's licence: Tsvetan Rouschev, @uuidna/qpu, CC-BY-NC-ND-4.0 (https://orcid.org/0009-0000-7312-9778) (https://creativecommons.org/licenses/by-nc-nd/4.0/). Each added file names it in its first line. The added files: src/blocks/Qpu/config.ts, src/components/blocks/Qpu/index.tsx, src/payload.qpu.config.ts, src/collections/Tenants.ts, the rewrites in next.config.js, README.qpu.md and this notice.\n- The two licences meet at the file boundary: MIT permits the fork and the additions; the additions' own terms apply to them alone; the combined site, served, carries both notices.\n"
        },
        "steps": [
          "fork payloadcms/website (MIT) under site/ — done",
          "register the qpu block (payload.config blocks, the pages layout, the RenderBlocks map under the @blocks alias), the tenants collection, spread qpuPlugins — done; the fork typechecks",
          "rewrite any UUID path and /mcp, /docket, /.well-known to the Worker before the catch-all — done",
          "point DATABASE_URI and PAYLOAD_SECRET at the tenant's (the build needs them beyond the tree)",
          "deploy at Cloudflare beside this Worker; the gate decodes old and new as copies; the old site is removed only then"
        ],
        "note": "generated text: a fork applies it; nothing here runs Payload"
      }
    },
    {
      "kind": "api",
      "torus": {
        "address": "002d3592-1de1-1b0c-8c5b-c40c5641fae3",
        "seed": 2,
        "reflection": 8,
        "trinity": [
          2,
          5,
          8
        ],
        "closed": true,
        "bytes": 13265
      },
      "config": {
        "name": "@uuidna/qpu",
        "version": "1.4.0",
        "origin": "https://qpu.uuidna.com",
        "hosts": [
          "https://qpu.uuidna.com",
          "https://qpu.psg.bg",
          "https://qpu.ceci.workers.dev"
        ],
        "architecture": "Everything goes through one MCP endpoint: POST /mcp takes JSON-RPC 2.0 (initialize, tools/list, tools/call); every tools/call result is a block addressed by its content, and every other surface serves or carries blocks. No hardware, no network inside the tools, nothing factored beyond N ≤ 21.",
        "endpoints": [
          {
            "method": "POST",
            "path": "/mcp",
            "takes": "JSON-RPC 2.0: initialize, tools/list, tools/call { name, arguments }",
            "answers": "the result with structuredContent and _meta (widget, block, theme, jsonLd, payload, license); ETag the content hash, X-Qpu-Address the block address, X-Qpu-Version",
            "auth": "none for every pure tool; a tenant's tokens only for the docket",
            "errors": "JSON-RPC -32601 (no such tool or method), -32602 (invalid params, with the bound the schema names), -32700 (parse error)"
          },
          {
            "method": "GET",
            "path": "/.well-known/qpu.json",
            "takes": "nothing",
            "answers": "the discovery document: mcp, docket, methods, tools, bounds, version, tenants, mcpHosts, roles, licence, the reverse (the unit)",
            "auth": "none"
          },
          {
            "method": "GET",
            "path": "/",
            "takes": "accept: application/json for the discovery document; otherwise the web OS",
            "answers": "the discovery document or the site",
            "auth": "none"
          },
          {
            "method": "GET",
            "path": "/<uuid> or /u/<uuid>",
            "takes": "a content-addressed v8 UUID",
            "answers": "the block's page (the widget, prev and next, the theme from the UUID); immutable, ETag the address, 304 to If-None-Match",
            "auth": "none"
          },
          {
            "method": "GET",
            "path": "/docket",
            "takes": "?kind=&since=",
            "answers": "the tenant's entries (one docket per tenant host)",
            "auth": "none to read"
          },
          {
            "method": "GET",
            "path": "/docket/<id>",
            "takes": "an entry id; ?cheap, ?heal",
            "answers": "the entry, healed from a mirror by address when missing",
            "auth": "none to read"
          },
          {
            "method": "POST",
            "path": "/docket",
            "takes": "{ kind, from, body, links? } or a commitment { kind, from, address, sha256 }",
            "answers": "201 with the entry id (content address); 400 on shape, 413 above the entry bound",
            "auth": "Bearer: the tenant's writer token (QPU_WRITE_TOKEN_<TENANT>) or the RBAC MCP host's role"
          },
          {
            "method": "DELETE",
            "path": "/docket/<id>",
            "takes": "an entry id",
            "answers": "the entry gone",
            "auth": "Bearer: the tenant's admin token"
          },
          {
            "method": "POST",
            "path": "/docket/stripe",
            "takes": "a Stripe webhook, signed",
            "answers": "the event as an entry, idempotent",
            "auth": "STRIPE_WEBHOOK_SECRET_<TENANT>"
          },
          {
            "method": "GET",
            "path": "/health",
            "takes": "nothing",
            "answers": "status, tenant, licence and the metrics computed now",
            "auth": "none"
          }
        ],
        "headers": {
          "request": [
            "content-type: application/json",
            "accept: application/json or text/event-stream",
            "if-none-match: \"<content hash>\" — a 304 answers with no body when the block is the one held",
            "authorization: Bearer <tenant token> (the docket's writes only)"
          ],
          "response": [
            "etag: the content hash of the result (the clock masked)",
            "x-qpu-address: the block address (uuidOf(tool + arguments))",
            "x-qpu-version",
            "cache-control: public, max-age=31536000, immutable on addressed replies",
            "link: <https://uuidna.com/license>; rel=\"license\""
          ]
        },
        "authorization": {
          "pure": "every tool answers without a credential: the tools are pure functions of their arguments",
          "docket": "roles reader, writer, admin per tenant: the RBAC MCP host first (QPU_RBAC_MCP, QPU_RBAC_TOOL), else the tenant's tokens by name; a token at another tenant's host holds no role there",
          "never": "no key, token or secret travels through a tool; the client sends them, the tools name them"
        },
        "contentAddressing": {
          "address": "uuidOf(tool + JSON(arguments)): the same arguments at any host give the same address",
          "hash": "the content hash of the result with the clock masked: the same code gives the same hash at any host",
          "involution": "a request naming the hash with If-None-Match is answered 304: the analog is verified digitally at the destination, nothing computed or sent",
          "versions": "versions coexist: an earlier version's addresses answer beside the new one's"
        },
        "tools": [
          {
            "name": "processor",
            "toolbox": "google",
            "description": "A Google Quantum AI processor as its spec sheet states it: qubits, the grid, the two chips, and the magic-state figures."
          },
          {
            "name": "circuit",
            "toolbox": "google",
            "description": "Compile a circuit from its operations, placed by an insert strategy, and simulate it. Without noise or observables: the "
          },
          {
            "name": "echo",
            "toolbox": "google",
            "description": "Quantum Echoes: run the operations forward, perturb once, run them back, and return the probability that every qubit ret"
          },
          {
            "name": "echo_benchmark",
            "toolbox": "google",
            "description": "The Quantum Echoes result as Google states it: the processor, its qubits, the speedup, and the molecules."
          },
          {
            "name": "roadmap",
            "toolbox": "google",
            "description": "The Google Quantum AI roadmap: its six milestones, their physical-qubit scale, and which are achieved or in progress. Wi"
          },
          {
            "name": "algorithm",
            "toolbox": "google",
            "description": "The textbook algorithms of the Cirq page: qft and inverse_qft (on 1 to 6 qubits, from input x), phase_estimation (of θ w"
          },
          {
            "name": "software",
            "toolbox": "google",
            "description": "The open-source tools of the Google Quantum AI Software page, as the page describes them. Only Cirq is implemented in th"
          },
          {
            "name": "statements",
            "toolbox": "google",
            "description": "The statements quantumai.google, its PDFs and the quantumlib repositories make, each as the page states it: Cirq, the de"
          },
          {
            "name": "repositories",
            "toolbox": "google",
            "description": "The repositories of the quantumlib GitHub organization, as its list states them: name, description and primary language."
          },
          {
            "name": "quantumlib",
            "toolbox": "google",
            "description": "The fifteen repositories of the quantumlib GitHub organization, each with what this repository implements of it: the exp"
          },
          {
            "name": "quantum-error-correction",
            "toolbox": "google",
            "description": "The three-qubit repetition code, simulated on the density matrix: a logical qubit encoded, a channel (bit_flip, phase_fl"
          },
          {
            "name": "chemistry-simulation",
            "toolbox": "google",
            "description": "Molecular hydrogen in STO-3G as a variational energy evaluation on the simulator: the integrals are computed here from t"
          },
          {
            "name": "fault-tolerant-design",
            "toolbox": "google",
            "description": "Resource counts read from the circuits this repository builds: the QFT on n qubits, Grover, teleportation, Shor for N up"
          },
          {
            "name": "leads",
            "toolbox": "tree",
            "description": "Every lead on quantumai.google (every page of its sitemap, read whole), its PDFs and the quantumlib repositories, with i"
          },
          {
            "name": "audit",
            "toolbox": "tree",
            "description": "The surface audits itself through tools/call: every tool has a schema and an example, every documented example replays a"
          },
          {
            "name": "match",
            "toolbox": "tree",
            "description": "Any statement, matched against everything the surface can do. served: a call answers it and is returned. impossible: the"
          },
          {
            "name": "clay",
            "toolbox": "tree",
            "description": "The Clay register recomputed in exact integer arithmetic: the Lean definitions of Qpu/Clay.lean and its imports ported o"
          },
          {
            "name": "verify",
            "toolbox": "tree",
            "description": "Cheap verification of one UUID: its seal (the version nibble the other 31 nibbles decide, one modular power, no content "
          },
          {
            "name": "metrics",
            "toolbox": "tree",
            "description": "The computable metrics of this tree in real time: tools and toolboxes, examples and how many name the kernel-accepted th"
          },
          {
            "name": "textbook",
            "toolbox": "tree",
            "description": "The QPU textbook as an adapter: every example categorised for reuse — by toolbox, by tool, by the kernel-accepted theore"
          },
          {
            "name": "css",
            "toolbox": "tree",
            "description": "The quantum UI as CSS alone: the stylesheet derived from the key 432 (the harmonics, and the rules that draw every block"
          },
          {
            "name": "dashboard",
            "toolbox": "tree",
            "description": "A bounded tool laid out whole, so the user's decision in the UI is final: every value each property admits (an enum, a b"
          },
          {
            "name": "clone",
            "toolbox": "tree",
            "description": "A toolbox cloned whole: its toolset (every tool's name, description and schema), its skillset (idea, instructions, direc"
          },
          {
            "name": "discover",
            "toolbox": "flow",
            "description": "Discovery before use. Without answers: every request the client must make for the contracts of the hosts this tree talks"
          },
          {
            "name": "wave",
            "toolbox": "flow",
            "description": "The verification wave. Without results: every request the surface's leads and tree facts need, once per URL with the lea"
          },
          {
            "name": "readiness",
            "toolbox": "flow",
            "description": "The unit judges the tree. Phase one (verification, discovery, present, ledger): every lead judged by measurement into se"
          },
          {
            "name": "imagine",
            "toolbox": "flow",
            "description": "Imagination leads all leads: every lead (or the subset named) matched with the reflection on — hidden factors, angles, m"
          },
          {
            "name": "e2e",
            "toolbox": "flow",
            "description": "The end-to-end gate as a repetition code. Without answers: every combination the dashboards lay out and every example of"
          },
          {
            "name": "translate",
            "toolbox": "language",
            "description": "Translation by vocabulary, offline, both ways: text, from, to. A word no table knows stays as it is and is reported, nev"
          },
          {
            "name": "prose",
            "toolbox": "language",
            "description": "Programmable prose: call a tool with its arguments and render its result as sentences in a locale — the toolbox's idea, "
          },
          {
            "name": "mongo",
            "toolbox": "raid",
            "description": "The ported MongoDB over the docket, pure. find: {collection, docs, filter, sort, skip, limit} → the matching documents ("
          },
          {
            "name": "stripe",
            "toolbox": "billing",
            "description": "Stripe per tenant, pure, the QPU as a product with its variants. catalogue: every product and variant (domain, tenant, s"
          },
          {
            "name": "legal",
            "toolbox": "legal",
            "description": "The full legal and security audit with forensic analysis, through MCP. Phase one (texts, discovery, agents?, theoremKeys"
          },
          {
            "name": "repository",
            "toolbox": "repository",
            "description": "Workspaces, branches, tags and releases watched and verified online, pure. Phase one (local): the requests to GitHub (br"
          },
          {
            "name": "jsonld",
            "toolbox": "standards",
            "description": "schema.org JSON-LD, pure: for a block (tool, id, description), a page (url, title, description, uuid?) or an offer of th"
          },
          {
            "name": "codes",
            "toolbox": "standards",
            "description": "The tree's ISO codes validated against the CLDR lists a client fetched (languages ISO 639, currencies ISO 4217, territor"
          },
          {
            "name": "payload",
            "toolbox": "payload",
            "description": "Any tool's result as the document Payload's default plugins hold, no custom collection: a lexical document whose one blo"
          },
          {
            "name": "configure",
            "toolbox": "payload",
            "description": "MCP configures Payload and the rest: Payload's default plugins (lexical with the one qpu block, nested-docs, seo, search"
          },
          {
            "name": "extend",
            "toolbox": "extension",
            "description": "QPU as the natural extension of every MCP and every MCP of QPU. Inward (host, tools): the host's tools/list read into do"
          },
          {
            "name": "fold",
            "toolbox": "crypto",
            "description": "The split folds: a payload larger than a place can hold is folded into pieces under the bound (bytes), each addressed by"
          },
          {
            "name": "seal",
            "toolbox": "crypto",
            "description": "SHA-256 of a text, and HMAC-SHA256 under a key the caller gives (a test key; a tenant's secret never travels here), pure"
          }
        ],
        "toolboxes": [
          "google",
          "tree",
          "flow",
          "language",
          "raid",
          "billing",
          "legal",
          "repository",
          "standards",
          "payload",
          "extension",
          "crypto"
        ],
        "mcpConnector": {
          "claude": {
            "endpoint": "https://api.anthropic.com/v1/messages",
            "betas": [
              "mcp-client-2025-11-20"
            ],
            "mcp_servers": [
              {
                "type": "url",
                "url": "https://qpu.uuidna.com/mcp",
                "name": "qpu"
              }
            ],
            "tools": [
              {
                "type": "mcp_toolset",
                "mcp_server_name": "qpu"
              }
            ]
          },
          "any": {
            "mcpServers": {
              "qpu": {
                "url": "https://qpu.uuidna.com/mcp"
              }
            }
          }
        },
        "quickTests": [
          {
            "says": "list the tools",
            "curl": "curl -s https://qpu.uuidna.com/mcp -X POST -H 'content-type: application/json' -d '{\"jsonrpc\":\"2.0\",\"id\":1,\"method\":\"tools/list\"}'"
          },
          {
            "says": "the Clay register read by reflection",
            "curl": "curl -s https://qpu.uuidna.com/mcp -X POST -H 'content-type: application/json' -d '{\"jsonrpc\":\"2.0\",\"id\":1,\"method\":\"tools/call\",\"params\":{\"name\":\"clay\",\"arguments\":{\"technique\":\"reflection\"}}}'"
          },
          {
            "says": "the involution: ask with the hash and receive 304",
            "curl": "curl -si https://qpu.uuidna.com/mcp -X POST -H 'content-type: application/json' -H 'if-none-match: \"<etag of the reply above>\"' -d '{\"jsonrpc\":\"2.0\",\"id\":1,\"method\":\"tools/call\",\"params\":{\"name\":\"clay\",\"arguments\":{\"technique\":\"reflection\"}}}'"
          },
          {
            "says": "the discovery document",
            "curl": "curl -s https://qpu.uuidna.com/.well-known/qpu.json"
          }
        ],
        "limits": {
          "shorN": 21,
          "qubits": 6,
          "entry": "the docket's entry bound (413 above it; fold splits what a place cannot hold)",
          "quantum": "a client's run stops at QPU_QUANTUM_MS and keeps what it settled"
        },
        "errors": [
          {
            "code": -32601,
            "means": "no such tool or method; the answer names the tools"
          },
          {
            "code": -32602,
            "means": "invalid params; the answer names the bound the schema sets"
          },
          {
            "code": -32700,
            "means": "parse error"
          },
          {
            "http": 304,
            "means": "the block held is the block asked: nothing sent"
          },
          {
            "http": 400,
            "means": "an entry's shape refused, named"
          },
          {
            "http": 401,
            "means": "a token with no role at this tenant"
          },
          {
            "http": 413,
            "means": "an entry above the bound: fold it"
          }
        ]
      }
    }
  ]
}

configure · configure-payload

Payload configured by MCP: eight default plugins over the one pages collection, the lexical block qpu with its UUID logic fields, the tenants in multi-tenant, 256 combinations.

{"name":"configure","arguments":{"kind":"payload"}}

✓ as expected

configure · MCP configures Payload and the rest: Payload's default plugins (lexical with the one qpu block, nested-docs, seo, search, redirects, form-builder, multi-tenant, mcp) in all their combinations with no custom collection; the Worker's wrangler configuration from the tenants; each tenant's variable names (never values); the PWA manifest; the MCP registration. Every configuration carries its torus: address, seed, reflection and trinity, and whether the loop closes (config → text → config at the same address). With current (the text a client holds), the drift: every path that differs, each a lead. Without kind: all of them, tested.

kind

payload

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "kind": "payload",
  "config": {
    "collections": [
      {
        "slug": "pages",
        "fields": [
          "lexical",
          "tenant"
        ],
        "note": "the plugins' own collection; the fields are the plugins'"
      }
    ],
    "plugins": [
      {
        "lexical": {
          "package": "@payloadcms/richtext-lexical",
          "features": [
            "BlocksFeature"
          ],
          "blocks": [
            "qpu"
          ],
          "blockFields": [
            "uuid",
            "handle",
            "program",
            "tail",
            "tool",
            "arguments",
            "prev",
            "next"
          ]
        }
      },
      {
        "nested-docs": {
          "package": "@payloadcms/plugin-nested-docs",
          "collections": [
            "pages"
          ],
          "generateLabel": "the block's tool",
          "generateURL": "/u/<uuid>"
        }
      },
      {
        "seo": {
          "package": "@payloadcms/plugin-seo",
          "collections": [
            "pages"
          ],
          "uploadsCollection": null,
          "generateTitle": "og:title of the block",
          "generateDescription": "og:description of the block",
          "generateImage": "og:image of the block"
        }
      },
      {
        "search": {
          "package": "@payloadcms/plugin-search",
          "collections": [
            "pages"
          ],
          "searchOverrides": {
            "fields": [
              "tool",
              "uuid"
            ]
          }
        }
      },
      {
        "redirects": {
          "package": "@payloadcms/plugin-redirects",
          "collections": [
            "pages"
          ],
          "from": "/u/<prev>",
          "to": "/u/<next>"
        }
      },
      {
        "form-builder": {
          "package": "@payloadcms/plugin-form-builder",
          "fields": [
            "text",
            "select",
            "checkbox",
            "number"
          ],
          "note": "every tool's inputSchema is a form; the dashboard tool enumerates its facets"
        }
      },
      {
        "multi-tenant": {
          "package": "@payloadcms/plugin-multi-tenant",
          "tenants": [
            "uuidna",
            "psg"
          ],
          "tenantField": "tenant",
          "byHost": {
            "qpu.uuidna.com": "uuidna",
            "qpu.psg.bg": "psg"
          }
        }
      },
      {
        "mcp": {
          "package": "@payloadcms/plugin-mcp",
          "servers": "the registration extend gives (direction out), plus every host the tenant names",
          "rbac": "roles of every MCP server managed over MCP itself; the Worker asks this host first (QPU_RBAC_MCP, QPU_RBAC_TOOL)"
        }
      }
    ],
    "combinations": 256,
    "combinationNote": "every subset of the plugins is a configuration; the dashboard of this tool enumerates them by address"
  },
  "torus": {
    "address": "9e2f3a46-d551-7a26-9bbc-d0b81d9bc2be",
    "seed": 1,
    "reflection": 9,
    "trinity": [
      7,
      4,
      1
    ],
    "closed": true,
    "bytes": 1699
  }
}

configure · configure-wrangler-drift

The Worker configuration compared to a text a client holds: every differing path is a lead, nothing is rewritten by the tool.

{"name":"configure","arguments":{"kind":"wrangler","current":"{ \"name\": \"qpu\", \"main\": \"src/worker.ts\", \"routes\": [] }"}}

✓ as expected

configure · MCP configures Payload and the rest: Payload's default plugins (lexical with the one qpu block, nested-docs, seo, search, redirects, form-builder, multi-tenant, mcp) in all their combinations with no custom collection; the Worker's wrangler configuration from the tenants; each tenant's variable names (never values); the PWA manifest; the MCP registration. Every configuration carries its torus: address, seed, reflection and trinity, and whether the loop closes (config → text → config at the same address). With current (the text a client holds), the drift: every path that differs, each a lead. Without kind: all of them, tested.

kind

wrangler

driftCount

8

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "kind": "wrangler",
  "config": {
    "$schema": "node_modules/wrangler/config-schema.json",
    "name": "qpu",
    "main": "src/worker.ts",
    "compatibility_date": "2026-10-01",
    "workers_dev": true,
    "assets": {
      "directory": "./docs/.vitepress/dist",
      "binding": "ASSETS",
      "run_worker_first": true,
      "not_found_handling": "none"
    },
    "routes": [
      {
        "pattern": "qpu.uuidna.com",
        "custom_domain": true
      },
      {
        "pattern": "qpu.psg.bg",
        "custom_domain": true
      }
    ],
    "durable_objects": {
      "bindings": [
        {
          "name": "DOCKET",
          "class_name": "DocketObject"
        }
      ]
    },
    "migrations": [
      {
        "tag": "v1",
        "new_sqlite_classes": [
          "DocketObject"
        ]
      }
    ],
    "observability": {
      "enabled": true
    }
  },
  "torus": {
    "address": "775bfca9-f529-5ca0-8248-8e39a0fe1bd4",
    "seed": 5,
    "reflection": 5,
    "trinity": [
      2,
      5,
      8
    ],
    "closed": true,
    "bytes": 547
  },
  "drift": [
    "$schema",
    "compatibility_date",
    "workers_dev",
    "assets",
    "routes",
    "durable_objects",
    "migrations",
    "observability"
  ],
  "driftCount": 8,
  "leads": [
    {
      "id": "config-wrangler-$schema",
      "statement": "wrangler: $schema differs between the configuration MCP computes and the text the client holds",
      "status": "open",
      "reason": "the client rewrites its text from the configuration, or the configuration learns what the operator set by hand"
    },
    {
      "id": "config-wrangler-compatibility_date",
      "statement": "wrangler: compatibility_date differs between the configuration MCP computes and the text the client holds",
      "status": "open",
      "reason": "the client rewrites its text from the configuration, or the configuration learns what the operator set by hand"
    },
    {
      "id": "config-wrangler-workers_dev",
      "statement": "wrangler: workers_dev differs between the configuration MCP computes and the text the client holds",
      "status": "open",
      "reason": "the client rewrites its text from the configuration, or the configuration learns what the operator set by hand"
    },
    {
      "id": "config-wrangler-assets",
      "statement": "wrangler: assets differs between the configuration MCP computes and the text the client holds",
      "status": "open",
      "reason": "the client rewrites its text from the configuration, or the configuration learns what the operator set by hand"
    },
    {
      "id": "config-wrangler-routes",
      "statement": "wrangler: routes differs between the configuration MCP computes and the text the client holds",
      "status": "open",
      "reason": "the client rewrites its text from the configuration, or the configuration learns what the operator set by hand"
    },
    {
      "id": "config-wrangler-durable_objects",
      "statement": "wrangler: durable_objects differs between the configuration MCP computes and the text the client holds",
      "status": "open",
      "reason": "the client rewrites its text from the configuration, or the configuration learns what the operator set by hand"
    },
    {
      "id": "config-wrangler-migrations",
      "statement": "wrangler: migrations differs between the configuration MCP computes and the text the client holds",
      "status": "open",
      "reason": "the client rewrites its text from the configuration, or the configuration learns what the operator set by hand"
    },
    {
      "id": "config-wrangler-observability",
      "statement": "wrangler: observability differs between the configuration MCP computes and the text the client holds",
      "status": "open",
      "reason": "the client rewrites its text from the configuration, or the configuration learns what the operator set by hand"
    }
  ]
}

configure · configure-tenant-missing

Each tenant's variable names and which an environment lacks: Stripe keys and the Cloudflare MCP tokens are the operator's to set; values never travel.

{"name":"configure","arguments":{"kind":"tenant","env":["QPU_WRITE_TOKEN_UUIDNA","QPU_ADMIN_TOKEN_UUIDNA","QPU_DATA_KEY"]}}

✓ as expected

configure · MCP configures Payload and the rest: Payload's default plugins (lexical with the one qpu block, nested-docs, seo, search, redirects, form-builder, multi-tenant, mcp) in all their combinations with no custom collection; the Worker's wrangler configuration from the tenants; each tenant's variable names (never values); the PWA manifest; the MCP registration. Every configuration carries its torus: address, seed, reflection and trinity, and whether the loop closes (config → text → config at the same address). With current (the text a client holds), the drift: every path that differs, each a lead. Without kind: all of them, tested.

kind

tenant

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "kind": "tenant",
  "config": {
    "tenants": [
      {
        "tenant": "uuidna",
        "secrets": [
          "QPU_WRITE_TOKEN_UUIDNA",
          "QPU_ADMIN_TOKEN_UUIDNA",
          "STRIPE_SECRET_KEY_UUIDNA",
          "STRIPE_WEBHOOK_SECRET_UUIDNA",
          "QPU_MCP_TOKEN_BINDINGS_MCP_CLOUDFLARE_COM_UUIDNA",
          "QPU_MCP_TOKEN_OBSERVABILITY_MCP_CLOUDFLARE_COM_UUIDNA",
          "QPU_MCP_TOKEN_RADAR_MCP_CLOUDFLARE_COM_UUIDNA",
          "QPU_MCP_TOKEN_BROWSER_MCP_CLOUDFLARE_COM_UUIDNA",
          "QPU_MCP_TOKEN_AI_GATEWAY_MCP_CLOUDFLARE_COM_UUIDNA",
          "QPU_MCP_TOKEN_DNS_ANALYTICS_MCP_CLOUDFLARE_COM_UUIDNA",
          "QPU_MCP_TOKEN_AUTORAG_MCP_CLOUDFLARE_COM_UUIDNA"
        ],
        "vars": [
          "QPU_MCP_HOSTS_UUIDNA"
        ],
        "shared": [
          "QPU_DATA_KEY",
          "QPU_RBAC_MCP",
          "QPU_RBAC_TOOL"
        ],
        "note": "names only: the operator sets the values as wrangler secrets; a tool never reads or carries a value"
      },
      {
        "tenant": "psg",
        "secrets": [
          "QPU_WRITE_TOKEN_PSG",
          "QPU_ADMIN_TOKEN_PSG",
          "STRIPE_SECRET_KEY_PSG",
          "STRIPE_WEBHOOK_SECRET_PSG",
          "QPU_MCP_TOKEN_BINDINGS_MCP_CLOUDFLARE_COM_PSG",
          "QPU_MCP_TOKEN_OBSERVABILITY_MCP_CLOUDFLARE_COM_PSG",
          "QPU_MCP_TOKEN_RADAR_MCP_CLOUDFLARE_COM_PSG",
          "QPU_MCP_TOKEN_BROWSER_MCP_CLOUDFLARE_COM_PSG",
          "QPU_MCP_TOKEN_AI_GATEWAY_MCP_CLOUDFLARE_COM_PSG",
          "QPU_MCP_TOKEN_DNS_ANALYTICS_MCP_CLOUDFLARE_COM_PSG",
          "QPU_MCP_TOKEN_AUTORAG_MCP_CLOUDFLARE_COM_PSG"
        ],
        "vars": [
          "QPU_MCP_HOSTS_PSG"
        ],
        "shared": [
          "QPU_DATA_KEY",
          "QPU_RBAC_MCP",
          "QPU_RBAC_TOOL"
        ],
        "note": "names only: the operator sets the values as wrangler secrets; a tool never reads or carries a value"
      },
      {
        "tenant": "ceci",
        "secrets": [
          "QPU_WRITE_TOKEN_CECI",
          "QPU_ADMIN_TOKEN_CECI",
          "STRIPE_SECRET_KEY_CECI",
          "STRIPE_WEBHOOK_SECRET_CECI",
          "QPU_MCP_TOKEN_BINDINGS_MCP_CLOUDFLARE_COM_CECI",
          "QPU_MCP_TOKEN_OBSERVABILITY_MCP_CLOUDFLARE_COM_CECI",
          "QPU_MCP_TOKEN_RADAR_MCP_CLOUDFLARE_COM_CECI",
          "QPU_MCP_TOKEN_BROWSER_MCP_CLOUDFLARE_COM_CECI",
          "QPU_MCP_TOKEN_AI_GATEWAY_MCP_CLOUDFLARE_COM_CECI",
          "QPU_MCP_TOKEN_DNS_ANALYTICS_MCP_CLOUDFLARE_COM_CECI",
          "QPU_MCP_TOKEN_AUTORAG_MCP_CLOUDFLARE_COM_CECI"
        ],
        "vars": [
          "QPU_MCP_HOSTS_CECI"
        ],
        "shared": [
          "QPU_DATA_KEY",
          "QPU_RBAC_MCP",
          "QPU_RBAC_TOOL"
        ],
        "note": "names only: the operator sets the values as wrangler secrets; a tool never reads or carries a value"
      }
    ],
    "mcpHostsDefault": [
      "https://uuidna.com/mcp",
      "https://qpu.uuidna.com/mcp",
      "https://docs.mcp.cloudflare.com/mcp",
      "https://bindings.mcp.cloudflare.com/mcp",
      "https://observability.mcp.cloudflare.com/mcp",
      "https://radar.mcp.cloudflare.com/mcp",
      "https://browser.mcp.cloudflare.com/mcp",
      "https://ai-gateway.mcp.cloudflare.com/mcp",
      "https://dns-analytics.mcp.cloudflare.com/mcp",
      "https://autorag.mcp.cloudflare.com/mcp",
      "https://api.githubcopilot.com/mcp/"
    ]
  },
  "torus": {
    "address": "919c47d0-1189-1aa6-8d2d-a8c161c16979",
    "seed": 4,
    "reflection": 6,
    "trinity": [
      7,
      4,
      1
    ],
    "closed": true,
    "bytes": 2504
  },
  "missing": [
    {
      "tenant": "uuidna",
      "secrets": [
        "STRIPE_SECRET_KEY_UUIDNA",
        "STRIPE_WEBHOOK_SECRET_UUIDNA",
        "QPU_MCP_TOKEN_BINDINGS_MCP_CLOUDFLARE_COM_UUIDNA",
        "QPU_MCP_TOKEN_OBSERVABILITY_MCP_CLOUDFLARE_COM_UUIDNA",
        "QPU_MCP_TOKEN_RADAR_MCP_CLOUDFLARE_COM_UUIDNA",
        "QPU_MCP_TOKEN_BROWSER_MCP_CLOUDFLARE_COM_UUIDNA",
        "QPU_MCP_TOKEN_AI_GATEWAY_MCP_CLOUDFLARE_COM_UUIDNA",
        "QPU_MCP_TOKEN_DNS_ANALYTICS_MCP_CLOUDFLARE_COM_UUIDNA",
        "QPU_MCP_TOKEN_AUTORAG_MCP_CLOUDFLARE_COM_UUIDNA"
      ],
      "vars": [
        "QPU_MCP_HOSTS_UUIDNA"
      ]
    },
    {
      "tenant": "psg",
      "secrets": [
        "QPU_WRITE_TOKEN_PSG",
        "QPU_ADMIN_TOKEN_PSG",
        "STRIPE_SECRET_KEY_PSG",
        "STRIPE_WEBHOOK_SECRET_PSG",
        "QPU_MCP_TOKEN_BINDINGS_MCP_CLOUDFLARE_COM_PSG",
        "QPU_MCP_TOKEN_OBSERVABILITY_MCP_CLOUDFLARE_COM_PSG",
        "QPU_MCP_TOKEN_RADAR_MCP_CLOUDFLARE_COM_PSG",
        "QPU_MCP_TOKEN_BROWSER_MCP_CLOUDFLARE_COM_PSG",
        "QPU_MCP_TOKEN_AI_GATEWAY_MCP_CLOUDFLARE_COM_PSG",
        "QPU_MCP_TOKEN_DNS_ANALYTICS_MCP_CLOUDFLARE_COM_PSG",
        "QPU_MCP_TOKEN_AUTORAG_MCP_CLOUDFLARE_COM_PSG"
      ],
      "vars": [
        "QPU_MCP_HOSTS_PSG"
      ]
    },
    {
      "tenant": "ceci",
      "secrets": [
        "QPU_WRITE_TOKEN_CECI",
        "QPU_ADMIN_TOKEN_CECI",
        "STRIPE_SECRET_KEY_CECI",
        "STRIPE_WEBHOOK_SECRET_CECI",
        "QPU_MCP_TOKEN_BINDINGS_MCP_CLOUDFLARE_COM_CECI",
        "QPU_MCP_TOKEN_OBSERVABILITY_MCP_CLOUDFLARE_COM_CECI",
        "QPU_MCP_TOKEN_RADAR_MCP_CLOUDFLARE_COM_CECI",
        "QPU_MCP_TOKEN_BROWSER_MCP_CLOUDFLARE_COM_CECI",
        "QPU_MCP_TOKEN_AI_GATEWAY_MCP_CLOUDFLARE_COM_CECI",
        "QPU_MCP_TOKEN_DNS_ANALYTICS_MCP_CLOUDFLARE_COM_CECI",
        "QPU_MCP_TOKEN_AUTORAG_MCP_CLOUDFLARE_COM_CECI"
      ],
      "vars": [
        "QPU_MCP_HOSTS_CECI"
      ]
    }
  ]
}

payload · payload-theorems-plan

The textbook's axioms replaced by theorems through the Payload MCP plugin, as a client: the endpoint, the authorization the tenant sends, the tools/list request, and the steps — the find and update doors picked by what they take, every qpu block without a theorem given the kernel-accepted key its example names.

{"name":"payload","arguments":{"theorems":true,"payloadUrl":"https://payload.example"}}

✓ as expected

payload · Any tool's result as the document Payload's default plugins hold, no custom collection: a lexical document whose one block is the programmable UUID logic (uuid, handle, program, tail, tool, arguments, prev, next), nested by the referer chain as nested-docs nests (parent, breadcrumbs), the SEO plugin's title, description and image from the block's Open Graph, the JSON-LD and the licence. Every tools/call result carries the same in _meta.payload.

phase

plan

endpoint

https://payload.example/api/mcp

theorems

10

examplesBacked

11

note

the client calls again with answers: { list: <tools/list text>, found?: <find text> }

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "phase": "plan",
  "endpoint": "https://payload.example/api/mcp",
  "auth": {
    "header": "Authorization",
    "value": "<authCollectionSlug> API-Key <QPU_PAYLOAD_API_KEY>",
    "note": "the tenant's API key, from a user with auth.useAPIKey; the client sends it, this tool never holds it"
  },
  "requestList": [
    {
      "id": "payload-mcp-list",
      "method": "POST",
      "url": "https://payload.example/api/mcp",
      "accept": "application/json, text/event-stream",
      "body": {
        "jsonrpc": "2.0",
        "id": 1,
        "method": "tools/list",
        "params": {}
      }
    }
  ],
  "theorems": 10,
  "examplesBacked": 11,
  "steps": [
    "tools/list: pick the find and update doors of the pages collection by what they take (a slug, a where, an id) and answer (documents), never by a name",
    "find the pages whose layout holds a qpu block without a theorem",
    "for each block, the theorem the textbook names for the example its tool and arguments are (TEXTBOOK_THEOREMS)",
    "update each page: the block's theorem field written; the kernel-accepted key, nothing asserted"
  ],
  "note": "the client calls again with answers: { list: <tools/list text>, found?: <find text> }"
}

payload · payload-theorems-update

With the Payload MCP's answers: the find and update doors recognised by what they take, two pages read, one qpu block without a theorem given textbook_plugin_combinations (the example configure-payload), one already naming its theorem left as it is; one update request emitted.

{"name":"payload","arguments":{"theorems":true,"payloadUrl":"https://payload.example","answers":{"list":"{\"jsonrpc\":\"2.0\",\"id\":1,\"result\":{\"tools\":[{\"name\":\"findDocuments\",\"inputSchema\":{\"properties\":{\"slug\":{},\"where\":{},\"limit\":{}}}},{\"name\":\"updateDocument\",\"inputSchema\":{\"properties\":{\"slug\":{},\"id\":{},\"data\":{}}}}]}}","found":"{\"jsonrpc\":\"2.0\",\"id\":2,\"result\":{\"structuredContent\":{\"docs\":[{\"id\":\"p1\",\"layout\":[{\"blockType\":\"qpu\",\"tool\":\"configure\",\"arguments\":{\"kind\":\"payload\"},\"theorem\":null},{\"blockType\":\"cta\"}]},{\"id\":\"p2\",\"layout\":[{\"blockType\":\"qpu\",\"tool\":\"clay\",\"arguments\":{\"name\":\"relation_15\"},\"theorem\":\"relation_15\"}]}]}}}"}}}

✓ as expected

payload · Any tool's result as the document Payload's default plugins hold, no custom collection: a lexical document whose one block is the programmable UUID logic (uuid, handle, program, tail, tool, arguments, prev, next), nested by the referer chain as nested-docs nests (parent, breadcrumbs), the SEO plugin's title, description and image from the block's Open Graph, the JSON-LD and the licence. Every tools/call result carries the same in _meta.payload.

phase

update

endpoint

https://payload.example/api/mcp

findDoor

findDocuments

updateDoor

updateDocument

pages

2

qpuBlocks

2

axioms

1

replaced

1

note

the client sends each update; a block whose example the textbook backs by no theorem stays an axiom and a lead

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "phase": "update",
  "endpoint": "https://payload.example/api/mcp",
  "findDoor": "findDocuments",
  "updateDoor": "updateDocument",
  "pages": 2,
  "qpuBlocks": 2,
  "axioms": 1,
  "replaced": 1,
  "requestList": [
    {
      "id": "payload-mcp-update-p1",
      "method": "POST",
      "url": "https://payload.example/api/mcp",
      "accept": "application/json, text/event-stream",
      "body": {
        "jsonrpc": "2.0",
        "id": 3,
        "method": "tools/call",
        "params": {
          "name": "updateDocument",
          "arguments": {
            "slug": "pages",
            "id": "p1",
            "data": {
              "layout": [
                {
                  "blockType": "qpu",
                  "tool": "configure",
                  "arguments": {
                    "kind": "payload"
                  },
                  "theorem": "textbook_plugin_combinations"
                },
                {
                  "blockType": "cta"
                }
              ]
            }
          }
        }
      }
    }
  ],
  "note": "the client sends each update; a block whose example the textbook backs by no theorem stays an axiom and a lead"
}

payload · payload-website

The source of payloadcms.com (github.com/payloadcms/website, MIT) read as a tree: twelve collections, thirty blocks, seven globals, ten fields, its own opsCounter plugin, and the four default plugins its config mounts; the live page's block types contentGrid and cta have their blocks in the source — the site is what Payload computes, verified.

{"name":"payload","arguments":{"website":{"sha":"main","truncated":false,"tree":[{"path":"src/collections/CaseStudies.ts","type":"blob"},{"path":"src/collections/Categories.ts","type":"blob"},{"path":"src/collections/CommunityHelp/index.ts","type":"blob"},{"path":"src/collections/Docs/index.ts","type":"blob"},{"path":"src/collections/DocsFeedback/index.ts","type":"blob"},{"path":"src/collections/Media.ts","type":"blob"},{"path":"src/collections/Pages.ts","type":"blob"},{"path":"src/collections/PartnerFilters.ts","type":"blob"},{"path":"src/collections/Partners.ts","type":"blob"},{"path":"src/collections/Posts.ts","type":"blob"},{"path":"src/collections/ReusableContent.ts","type":"blob"},{"path":"src/collections/Users.ts","type":"blob"},{"path":"src/blocks/Banner/index.tsx","type":"blob"},{"path":"src/blocks/BlogContent/index.tsx","type":"blob"},{"path":"src/blocks/BlogMarkdown/index.tsx","type":"blob"},{"path":"src/blocks/CallToAction/index.tsx","type":"blob"},{"path":"src/blocks/Callout/index.tsx","type":"blob"},{"path":"src/blocks/CardGrid/index.tsx","type":"blob"},{"path":"src/blocks/CaseStudiesHighlight/index.tsx","type":"blob"},{"path":"src/blocks/CaseStudyCards/index.tsx","type":"blob"},{"path":"src/blocks/CaseStudyParallax/index.tsx","type":"blob"},{"path":"src/blocks/Code/index.tsx","type":"blob"},{"path":"src/blocks/CodeFeature/index.tsx","type":"blob"},{"path":"src/blocks/ComparisonTable/index.tsx","type":"blob"},{"path":"src/blocks/Content/index.tsx","type":"blob"},{"path":"src/blocks/ContentGrid/index.tsx","type":"blob"},{"path":"src/blocks/Download/index.tsx","type":"blob"},{"path":"src/blocks/ExampleTabs/index.tsx","type":"blob"},{"path":"src/blocks/Form/index.tsx","type":"blob"},{"path":"src/blocks/HoverCards/index.tsx","type":"blob"},{"path":"src/blocks/HoverHighlights/index.tsx","type":"blob"},{"path":"src/blocks/LinkGrid/index.tsx","type":"blob"},{"path":"src/blocks/LogoGrid/index.tsx","type":"blob"},{"path":"src/blocks/Media/index.tsx","type":"blob"},{"path":"src/blocks/MediaContent/index.tsx","type":"blob"},{"path":"src/blocks/MediaContentAccordion/index.tsx","type":"blob"},{"path":"src/blocks/Pricing/index.tsx","type":"blob"},{"path":"src/blocks/ReusableContent/index.tsx","type":"blob"},{"path":"src/blocks/Slider/index.tsx","type":"blob"},{"path":"src/blocks/Statement/index.tsx","type":"blob"},{"path":"src/blocks/Steps/index.tsx","type":"blob"},{"path":"src/blocks/StickyHighlights/index.tsx","type":"blob"},{"path":"src/globals/CustomRowLabelNavItems.tsx","type":"blob"},{"path":"src/globals/CustomRowLabelTabs.tsx","type":"blob"},{"path":"src/globals/Footer.ts","type":"blob"},{"path":"src/globals/GetStarted.ts","type":"blob"},{"path":"src/globals/MainMenu.ts","type":"blob"},{"path":"src/globals/PartnerProgram.ts","type":"blob"},{"path":"src/globals/TopBar.ts","type":"blob"},{"path":"src/fields/addToDocs/index.ts","type":"blob"},{"path":"src/fields/blockFields.ts","type":"blob"},{"path":"src/fields/codeBlips.ts","type":"blob"},{"path":"src/fields/fullTitle/index.ts","type":"blob"},{"path":"src/fields/hero.ts","type":"blob"},{"path":"src/fields/link.ts","type":"blob"},{"path":"src/fields/linkGroup.ts","type":"blob"},{"path":"src/fields/livestreamFields.ts","type":"blob"},{"path":"src/fields/richText/index.ts","type":"blob"},{"path":"src/fields/slug.ts","type":"blob"},{"path":"src/plugins/opsCounter.ts","type":"blob"},{"path":"src/payload.config.ts","type":"blob"}]},"liveBlockTypes":["contentGrid","cta"]}}

✓ as expected

payload · Any tool's result as the document Payload's default plugins hold, no custom collection: a lexical document whose one block is the programmable UUID logic (uuid, handle, program, tail, tool, arguments, prev, next), nested by the referer chain as nested-docs nests (parent, breadcrumbs), the SEO plugin's title, description and image from the block's Open Graph, the JSON-LD and the licence. Every tools/call result carries the same in _meta.payload.

phase

website

repository

https://github.com/payloadcms/website

licence

MIT

sha

main

entries

61

truncated

false

collections

12

blocks

30

globals

5

fields

10

agrees

true

says

payloadcms.com is what Payload computes: 12 collections, 30 blocks, 5 globals and 10 fields in its source, 4 default plugins mounted (form-builder, nested-docs, redirects, seo) on @payloadcms/db-mongodb; of the plugins MCP configures here, 4 are the site's own and 3 go beyond it (search, multi-tenant, mcp); the live page's block types all have a block in the source

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "phase": "website",
  "repository": "https://github.com/payloadcms/website",
  "licence": "MIT",
  "sha": "main",
  "entries": 61,
  "truncated": false,
  "collections": 12,
  "collectionList": [
    "CaseStudies",
    "Categories",
    "CommunityHelp",
    "Docs",
    "DocsFeedback",
    "Media",
    "Pages",
    "PartnerFilters",
    "Partners",
    "Posts",
    "ReusableContent",
    "Users"
  ],
  "blocks": 30,
  "blockList": [
    "Banner",
    "BlogContent",
    "BlogMarkdown",
    "CallToAction",
    "Callout",
    "CardGrid",
    "CaseStudiesHighlight",
    "CaseStudyCards",
    "CaseStudyParallax",
    "Code",
    "CodeFeature",
    "ComparisonTable",
    "Content",
    "ContentGrid",
    "Download",
    "ExampleTabs",
    "Form",
    "HoverCards",
    "HoverHighlights",
    "LinkGrid",
    "LogoGrid",
    "Media",
    "MediaContent",
    "MediaContentAccordion",
    "Pricing",
    "ReusableContent",
    "Slider",
    "Statement",
    "Steps",
    "StickyHighlights"
  ],
  "blockTypes": [
    "banner",
    "blogContent",
    "blogMarkdown",
    "cta",
    "callout",
    "cardGrid",
    "caseStudiesHighlight",
    "caseStudyCards",
    "caseStudyParallax",
    "code",
    "codeFeature",
    "comparisonTable",
    "content",
    "contentGrid",
    "download",
    "exampleTabs",
    "form",
    "hoverCards",
    "hoverHighlights",
    "linkGrid",
    "logoGrid",
    "media",
    "mediaContent",
    "mediaContentAccordion",
    "pricing",
    "reusableContent",
    "slider",
    "statement",
    "steps",
    "stickyHighlights"
  ],
  "globals": 5,
  "globalList": [
    "Footer",
    "GetStarted",
    "MainMenu",
    "PartnerProgram",
    "TopBar"
  ],
  "fields": 10,
  "fieldList": [
    "addToDocs",
    "blockFields",
    "codeBlips",
    "fullTitle",
    "hero",
    "link",
    "linkGroup",
    "livestreamFields",
    "richText",
    "slug"
  ],
  "ownPlugins": [
    "opsCounter"
  ],
  "mounted": {
    "repository": "https://github.com/payloadcms/website",
    "licence": "MIT",
    "config": "src/payload.config.ts",
    "plugins": [
      "form-builder",
      "nested-docs",
      "redirects",
      "seo"
    ],
    "own": [
      "opsCounter"
    ],
    "editor": "lexical with BlocksFeature",
    "database": "@payloadcms/db-mongodb",
    "storage": "@payloadcms/storage-vercel-blob",
    "email": "@payloadcms/email-nodemailer",
    "readAt": "2026-10-25"
  },
  "live": [
    {
      "blockType": "contentGrid",
      "inSource": true
    },
    {
      "blockType": "cta",
      "inSource": true
    }
  ],
  "agrees": true,
  "pluginsShared": [
    "form-builder",
    "nested-docs",
    "redirects",
    "seo"
  ],
  "pluginsOnlyHere": [
    "search",
    "multi-tenant",
    "mcp"
  ],
  "says": "payloadcms.com is what Payload computes: 12 collections, 30 blocks, 5 globals and 10 fields in its source, 4 default plugins mounted (form-builder, nested-docs, redirects, seo) on @payloadcms/db-mongodb; of the plugins MCP configures here, 4 are the site's own and 3 go beyond it (search, multi-tenant, mcp); the live page's block types all have a block in the source"
}

payload · payload-skills

Payload's skills for agents (github.com/payloadcms/skills) read as a tree: two skills, payload and cms-migration, their fourteen references, each mapped to the tool of this tree that enacts it; names and paths as facts, no text carried.

{"name":"payload","arguments":{"skills":{"sha":"main","truncated":false,"tree":[{"path":"README.md","type":"blob","size":2285},{"path":"AGENTS.md","type":"blob","size":3390},{"path":"skills/cms-migration/SKILL.md","type":"blob","size":5374},{"path":"skills/cms-migration/reference/PAYLOAD-FIELD-REFERENCE.md","type":"blob","size":31127},{"path":"skills/payload/SKILL.md","type":"blob","size":23062},{"path":"skills/payload/README.md","type":"blob","size":2537},{"path":"skills/payload/reference/ACCESS-CONTROL-ADVANCED.md","type":"blob","size":1000},{"path":"skills/payload/reference/ACCESS-CONTROL.md","type":"blob","size":1000},{"path":"skills/payload/reference/ADAPTERS.md","type":"blob","size":1000},{"path":"skills/payload/reference/ADVANCED.md","type":"blob","size":1000},{"path":"skills/payload/reference/COLLECTIONS.md","type":"blob","size":1000},{"path":"skills/payload/reference/ENDPOINTS.md","type":"blob","size":1000},{"path":"skills/payload/reference/FIELD-TYPE-GUARDS.md","type":"blob","size":1000},{"path":"skills/payload/reference/FIELDS.md","type":"blob","size":1000},{"path":"skills/payload/reference/HOOKS.md","type":"blob","size":1000},{"path":"skills/payload/reference/PLUGIN-DEVELOPMENT.md","type":"blob","size":1000},{"path":"skills/payload/reference/QUERIES.md","type":"blob","size":1000}]}}}

✓ as expected

payload · Any tool's result as the document Payload's default plugins hold, no custom collection: a lexical document whose one block is the programmable UUID logic (uuid, handle, program, tail, tool, arguments, prev, next), nested by the referer chain as nested-docs nests (parent, breadcrumbs), the SEO plugin's title, description and image from the block's Open Graph, the JSON-LD and the licence. Every tools/call result carries the same in _meta.payload.

phase

skills

repository

https://github.com/payloadcms/skills

sha

main

entries

17

truncated

false

skills

2

references

12

licence

the repository declares no licence: names, paths and sizes are read as facts; no text is carried

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "phase": "skills",
  "repository": "https://github.com/payloadcms/skills",
  "sha": "main",
  "entries": 17,
  "truncated": false,
  "skills": 2,
  "references": 12,
  "unmapped": [],
  "catalogue": [
    {
      "skill": "cms-migration",
      "path": "skills/cms-migration/SKILL.md",
      "bytes": 5374,
      "enactedBy": [
        "configure",
        "fold",
        "mongo"
      ],
      "how": "content moved at whole uptime: configure { kind: migration } is the plan, fold splits what a place cannot hold, mongo is the RAID's query language for the rows",
      "references": [
        {
          "reference": "PAYLOAD-FIELD-REFERENCE",
          "path": "skills/cms-migration/reference/PAYLOAD-FIELD-REFERENCE.md",
          "bytes": 31127,
          "enactedBy": [
            "payload",
            "fold"
          ],
          "how": "the field reference of a migration: the document shape, and the fold that moves the rows under any bound"
        }
      ]
    },
    {
      "skill": "payload",
      "path": "skills/payload/SKILL.md",
      "bytes": 23062,
      "enactedBy": [
        "configure",
        "payload",
        "extend"
      ],
      "how": "the project shape: configure { kind: payload } holds the default plugins over the one pages collection; payload { site } lays the site out as pages; extend mounts this catalogue in the Payload MCP plugin",
      "references": [
        {
          "reference": "ACCESS-CONTROL-ADVANCED",
          "path": "skills/payload/reference/ACCESS-CONTROL-ADVANCED.md",
          "bytes": 1000,
          "enactedBy": [
            "legal"
          ],
          "how": "the security checks of the legal audit, sealed by the inputs' SHA-256"
        },
        {
          "reference": "ACCESS-CONTROL",
          "path": "skills/payload/reference/ACCESS-CONTROL.md",
          "bytes": 1000,
          "enactedBy": [
            "legal",
            "configure"
          ],
          "how": "roles over MCP itself: the RBAC host the Worker asks first (QPU_RBAC_MCP), the tenants' tokens by name in configure { kind: tenant }"
        },
        {
          "reference": "ADAPTERS",
          "path": "skills/payload/reference/ADAPTERS.md",
          "bytes": 1000,
          "enactedBy": [
            "mongo",
            "extend"
          ],
          "how": "the RAID is the adapter of all adapters: the docket over the Mongo query language; every MCP an adapter through extend"
        },
        {
          "reference": "ADVANCED",
          "path": "skills/payload/reference/ADVANCED.md",
          "bytes": 1000,
          "enactedBy": [
            "dashboard",
            "clone"
          ],
          "how": "every facet of every tool laid out; a toolbox cloned whole for another host"
        },
        {
          "reference": "COLLECTIONS",
          "path": "skills/payload/reference/COLLECTIONS.md",
          "bytes": 1000,
          "enactedBy": [
            "payload",
            "configure"
          ],
          "how": "no custom collection: the plugins' pages, every result a document with one qpu block"
        },
        {
          "reference": "ENDPOINTS",
          "path": "skills/payload/reference/ENDPOINTS.md",
          "bytes": 1000,
          "enactedBy": [
            "discover",
            "extend"
          ],
          "how": "the endpoints are doors: tools/list, the docket's four verbs, /.well-known/qpu.json"
        },
        {
          "reference": "FIELD-TYPE-GUARDS",
          "path": "skills/payload/reference/FIELD-TYPE-GUARDS.md",
          "bytes": 1000,
          "enactedBy": [
            "payload"
          ],
          "how": "the block's fields are typed by the lexical document shape payloadDocOf gives"
        },
        {
          "reference": "FIELDS",
          "path": "skills/payload/reference/FIELDS.md",
          "bytes": 1000,
          "enactedBy": [
            "payload",
            "dashboard"
          ],
          "how": "the qpu block's fields (uuid, handle, program, tail, tool, arguments, prev, next); every tool's inputSchema a form the dashboard enumerates"
        },
        {
          "reference": "HOOKS",
          "path": "skills/payload/reference/HOOKS.md",
          "bytes": 1000,
          "enactedBy": [
            "payload"
          ],
          "how": "blocks double as hooks: the next uuid is the program rotated, the referer chain the breadcrumbs"
        },
        {
          "reference": "PLUGIN-DEVELOPMENT",
          "path": "skills/payload/reference/PLUGIN-DEVELOPMENT.md",
          "bytes": 1000,
          "enactedBy": [
            "configure",
            "clone"
          ],
          "how": "MCP configures the default plugins in all combinations; a toolbox is a plugin cloned whole"
        },
        {
          "reference": "QUERIES",
          "path": "skills/payload/reference/QUERIES.md",
          "bytes": 1000,
          "enactedBy": [
            "mongo",
            "match"
          ],
          "how": "the Mongo query language over the docket; a statement matched to the tool that serves it"
        }
      ]
    }
  ],
  "licence": "the repository declares no licence: names, paths and sizes are read as facts; no text is carried"
}

payload · payload-site

The site as its own use cases, as payloadcms.com is built of what Payload computes: every toolbox a use case, every example a page document in Payload's pages shape (layout blocks, meta, breadcrumbs) at its live /u address.

{"name":"payload","arguments":{"site":true}}

✓ as expected

payload · Any tool's result as the document Payload's default plugins hold, no custom collection: a lexical document whose one block is the programmable UUID logic (uuid, handle, program, tail, tool, arguments, prev, next), nested by the referer chain as nested-docs nests (parent, breadcrumbs), the SEO plugin's title, description and image from the block's Open Graph, the JSON-LD and the licence. Every tools/call result carries the same in _meta.payload.

origin

https://qpu.uuidna.com

useCases

11

pages

73

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "reference": {
    "site": "https://payloadcms.com",
    "contract": "https://payloadcms.com/api/pages?limit=1&depth=0",
    "shape": "docs with layout blocks (blockType), meta (title, description), breadcrumbs: the site is what Payload computes; discovery reads it as the standard payload-site"
  },
  "origin": "https://qpu.uuidna.com",
  "useCases": 11,
  "pages": 73,
  "byUseCase": [
    {
      "toolbox": "language",
      "pages": 3,
      "tools": [
        "translate",
        "prose"
      ]
    },
    {
      "toolbox": "raid",
      "pages": 2,
      "tools": [
        "mongo"
      ]
    },
    {
      "toolbox": "billing",
      "pages": 3,
      "tools": [
        "stripe"
      ]
    },
    {
      "toolbox": "legal",
      "pages": 2,
      "tools": [
        "legal"
      ]
    },
    {
      "toolbox": "repository",
      "pages": 1,
      "tools": [
        "repository"
      ]
    },
    {
      "toolbox": "standards",
      "pages": 3,
      "tools": [
        "jsonld",
        "codes"
      ]
    },
    {
      "toolbox": "payload",
      "pages": 13,
      "tools": [
        "configure",
        "payload"
      ]
    },
    {
      "toolbox": "extension",
      "pages": 4,
      "tools": [
        "extend"
      ]
    },
    {
      "toolbox": "crypto",
      "pages": 2,
      "tools": [
        "fold",
        "seal"
      ]
    },
    {
      "toolbox": "tree",
      "pages": 18,
      "tools": [
        "verify",
        "css",
        "dashboard",
        "leads",
        "clay",
        "match"
      ]
    },
    {
      "toolbox": "google",
      "pages": 22,
      "tools": [
        "processor",
        "circuit",
        "echo",
        "echo_benchmark",
        "roadmap",
        "algorithm",
        "software",
        "statements",
        "repositories",
        "quantum-error-correction",
        "chemistry-simulation",
        "fault-tolerant-design",
        "quantumlib"
      ]
    }
  ],
  "docs": [
    {
      "id": "translate-bg",
      "tool": "translate",
      "toolbox": "language",
      "uuid": "ed6bcf7a-234c-29d5-b382-dfaa610efb85",
      "url": "https://qpu.uuidna.com/u/ed6bcf7a-234c-29d5-b382-dfaa610efb85",
      "title": "translate · @uuidna/qpu",
      "description": "English to Bulgarian by vocabulary: the labels and verdicts translate; a word with no entry stays and is reported.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "translate-coverage",
      "tool": "translate",
      "toolbox": "language",
      "uuid": "8b70ad63-4536-8151-a3ce-d1d8a77c6018",
      "url": "https://qpu.uuidna.com/u/8b70ad63-4536-8151-a3ce-d1d8a77c6018",
      "title": "translate · @uuidna/qpu",
      "description": "The vocabulary measured: for every locale, which surface terms have no entry — the leads of the tables, updated from measurement.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "prose-clay-bg",
      "tool": "prose",
      "toolbox": "language",
      "uuid": "64deda51-4d2d-28f9-b6df-f409d33b8611",
      "url": "https://qpu.uuidna.com/u/64deda51-4d2d-28f9-b6df-f409d33b8611",
      "title": "prose · @uuidna/qpu",
      "description": "Programmable prose in Bulgarian from the clay tool's answer and the tree toolbox's skill: the numbers are the tool's, the words the vocabulary's, the rest reported.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "mongo-find",
      "tool": "mongo",
      "toolbox": "raid",
      "uuid": "1414fbf3-422d-884b-b064-fbc22dd29e1a",
      "url": "https://qpu.uuidna.com/u/1414fbf3-422d-884b-b064-fbc22dd29e1a",
      "title": "mongo · @uuidna/qpu",
      "description": "A Mongo filter over documents read from the docket: operators, array membership, sort; the match is computed here, the storage is the docket.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "mongo-update",
      "tool": "mongo",
      "toolbox": "raid",
      "uuid": "9c706a9b-63c2-84ca-9df8-963846faa839",
      "url": "https://qpu.uuidna.com/u/9c706a9b-63c2-84ca-9df8-963846faa839",
      "title": "mongo · @uuidna/qpu",
      "description": "An update computed as a new document and a new entry linked to the one it replaces: entries are immutable and content-addressed, so history is kept.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "stripe-plan",
      "tool": "stripe",
      "toolbox": "billing",
      "uuid": "0f3f9e6c-761f-27bf-bdc7-d01bd43c2e44",
      "url": "https://qpu.uuidna.com/u/0f3f9e6c-761f-27bf-bdc7-d01bd43c2e44",
      "title": "stripe · @uuidna/qpu",
      "description": "A checkout plan for a yearly commercial licence of acme on two domains, bought at tenant psg: the form Stripe takes, the metadata the webhook brings back, the tenant secret the Worker alone holds.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "stripe-catalogue",
      "tool": "stripe",
      "toolbox": "billing",
      "uuid": "eb91379d-fd77-54aa-b35f-1d9a1521b028",
      "url": "https://qpu.uuidna.com/u/eb91379d-fd77-54aa-b35f-1d9a1521b028",
      "title": "stripe · @uuidna/qpu",
      "description": "The QPU as a product line for tenant uuidna: seven variants over five products, each a Stripe price form in two currencies, the a432 default at zero.",
      "theorem": "textbook_prices_are_variants_times_currencies",
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "stripe-webhook",
      "tool": "stripe",
      "toolbox": "billing",
      "uuid": "f36aa4c4-fd37-183c-881f-2b05009e9b41",
      "url": "https://qpu.uuidna.com/u/f36aa4c4-fd37-183c-881f-2b05009e9b41",
      "title": "stripe · @uuidna/qpu",
      "description": "A checkout completed at tenant psg, its signature verified with psg's webhook secret, read into one licence entry granting acme on both domains.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "legal-audit-offline",
      "tool": "legal",
      "toolbox": "legal",
      "uuid": "5601fc0c-ac8f-4474-afec-de76277834c6",
      "url": "https://qpu.uuidna.com/u/5601fc0c-ac8f-4474-afec-de76277834c6",
      "title": "legal · @uuidna/qpu",
      "description": "Phase two with no answers (offline): the claims, the tree's security checks, and the audit's own content address over the SHA-256 of every input — change a source and the address changes.",
      "theorem": "textbook_uuid_is_36",
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "legal-plan",
      "tool": "legal",
      "toolbox": "legal",
      "uuid": "b3cda968-f2ac-73bc-8b91-55c2923c43cf",
      "url": "https://qpu.uuidna.com/u/b3cda968-f2ac-73bc-8b91-55c2923c43cf",
      "title": "legal · @uuidna/qpu",
      "description": "Phase one on fixture texts and a three-door discovery: the claims gathered (licence, author, metadata, measured table, perspectives), the tree's security checks, and the plan — one forensics call per claim, the rights and security doors once, free by default.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "repository-watch",
      "tool": "repository",
      "toolbox": "repository",
      "uuid": "c285faf0-637d-1a98-b289-104fc8b5dedb",
      "url": "https://qpu.uuidna.com/u/c285faf0-637d-1a98-b289-104fc8b5dedb",
      "title": "repository · @uuidna/qpu",
      "description": "Fixture facts against fixture answers: two local branches unpushed, one remote branch not here, a local tag not pushed, a remote tag not fetched, a moved tag, a release whose tag is gone, a version with a tag and no release, a Zenodo version without a release, a second workspace: ten leads.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "jsonld-block",
      "tool": "jsonld",
      "toolbox": "standards",
      "uuid": "2e424e67-737c-4a54-8ea4-cc03870622c6",
      "url": "https://qpu.uuidna.com/u/2e424e67-737c-4a54-8ea4-cc03870622c6",
      "title": "jsonld · @uuidna/qpu",
      "description": "A block as schema.org JSON-LD: a CreativeWork of the SoftwareApplication, the author a Person with an ORCID, the licence a URL, the date ISO 8601.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "jsonld-catalogue",
      "tool": "jsonld",
      "toolbox": "standards",
      "uuid": "96f24cc3-58ca-1b50-9a8a-e499d75800c8",
      "url": "https://qpu.uuidna.com/u/96f24cc3-58ca-1b50-9a8a-e499d75800c8",
      "title": "jsonld · @uuidna/qpu",
      "description": "The whole catalogue as an OfferCatalog of Offers priced in ISO 4217 EUR, each a UnitPriceSpecification by month or year where recurring.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "codes-plan",
      "tool": "codes",
      "toolbox": "standards",
      "uuid": "9323b500-e973-5c40-aded-583bed9657c8",
      "url": "https://qpu.uuidna.com/u/9323b500-e973-5c40-aded-583bed9657c8",
      "title": "codes · @uuidna/qpu",
      "description": "What the codes tool would validate and where the CLDR lists are: eleven locales, three currencies, the tenants' countries.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "configure-versions",
      "tool": "configure",
      "toolbox": "payload",
      "uuid": "3da2344a-eb1a-59af-8c18-cb505253a3b1",
      "url": "https://qpu.uuidna.com/u/3da2344a-eb1a-59af-8c18-cb505253a3b1",
      "title": "configure · @uuidna/qpu",
      "description": "Versions define development and development defines versions: the current version from its single source, the next number from what the catalogue changed since the last tag (tools added: the minor digit carries), kept to single digits with a build address, the open leads as the version's plan, Payload's versioning over the RAID (every version an entry, never overwritten, no cap).",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "configure-migration",
      "tool": "configure",
      "toolbox": "payload",
      "uuid": "c83cf226-f49c-4d3d-b2ac-19b6d578166e",
      "url": "https://qpu.uuidna.com/u/c83cf226-f49c-4d3d-b2ac-19b6d578166e",
      "title": "configure · @uuidna/qpu",
      "description": "A provider added or moved at 100 % uptime: deploy beside, mirror the docket by address, decode old and new as copies through the gate, route, and the rollback is the earlier version still answering.",
      "theorem": "textbook_providers_are_tenants_plus_operator",
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "configure-api",
      "tool": "configure",
      "toolbox": "payload",
      "uuid": "fa87b542-c648-164a-affc-47cc12010362",
      "url": "https://qpu.uuidna.com/u/fa87b542-c648-164a-affc-47cc12010362",
      "title": "configure · @uuidna/qpu",
      "description": "The QPU's API overview as data, the way platform.claude.com's overview is one for the Claude API: one MCP endpoint and every surface around it, the headers, the authorization (none for every pure tool), the content addressing and its involution, the tools by toolbox, the MCP connector for Claude and for any client, quick tests, limits and errors; docs/api.md is written from it.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "configure-fullstack",
      "tool": "configure",
      "toolbox": "payload",
      "uuid": "24d2d224-013f-77b4-8b09-e7dce80c2b8d",
      "url": "https://qpu.uuidna.com/u/24d2d224-013f-77b4-8b09-e7dce80c2b8d",
      "title": "configure · @uuidna/qpu",
      "description": "QPU's full stack from the source of payloadcms.com (MIT): its twelve collections, thirty blocks, globals and fields kept, the qpu block added, search, multi-tenant and mcp added to its four plugins, the database the RAID, storage and deploy at Cloudflare; two source files and a README generated for the fork.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "configure-all",
      "tool": "configure",
      "toolbox": "payload",
      "uuid": "554d1425-8d3f-36b7-a674-b9002826fdf6",
      "url": "https://qpu.uuidna.com/u/554d1425-8d3f-36b7-a674-b9002826fdf6",
      "title": "configure · @uuidna/qpu",
      "description": "Every configuration MCP computes, tested around the torus: Payload's plugins, the Worker, the tenants' variable names, the manifest, the registration, the versions, the migration, the full stack; each with its address, seed, reflection and trinity, every loop closed.",
      "theorem": "textbook_reflection_sums_to_ten",
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "configure-payload",
      "tool": "configure",
      "toolbox": "payload",
      "uuid": "e5e64172-bb69-7ff0-914d-57ed27699ebc",
      "url": "https://qpu.uuidna.com/u/e5e64172-bb69-7ff0-914d-57ed27699ebc",
      "title": "configure · @uuidna/qpu",
      "description": "Payload configured by MCP: eight default plugins over the one pages collection, the lexical block qpu with its UUID logic fields, the tenants in multi-tenant, 256 combinations.",
      "theorem": "textbook_plugin_combinations",
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "configure-wrangler-drift",
      "tool": "configure",
      "toolbox": "payload",
      "uuid": "d77b6ee8-c418-3df8-8e60-26cf6e748e59",
      "url": "https://qpu.uuidna.com/u/d77b6ee8-c418-3df8-8e60-26cf6e748e59",
      "title": "configure · @uuidna/qpu",
      "description": "The Worker configuration compared to a text a client holds: every differing path is a lead, nothing is rewritten by the tool.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "configure-tenant-missing",
      "tool": "configure",
      "toolbox": "payload",
      "uuid": "e9516f13-0da0-11fd-8a06-47350fe0f658",
      "url": "https://qpu.uuidna.com/u/e9516f13-0da0-11fd-8a06-47350fe0f658",
      "title": "configure · @uuidna/qpu",
      "description": "Each tenant's variable names and which an environment lacks: Stripe keys and the Cloudflare MCP tokens are the operator's to set; values never travel.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "payload-theorems-plan",
      "tool": "payload",
      "toolbox": "payload",
      "uuid": "c821dff2-0c65-2569-a3d1-d5b2579f3ca9",
      "url": "https://qpu.uuidna.com/u/c821dff2-0c65-2569-a3d1-d5b2579f3ca9",
      "title": "payload · @uuidna/qpu",
      "description": "The textbook's axioms replaced by theorems through the Payload MCP plugin, as a client: the endpoint, the authorization the tenant sends, the tools/list request, and the steps — the find and update doors picked by what they take, every qpu block without a theorem given the kernel-accepted key its example names.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "payload-theorems-update",
      "tool": "payload",
      "toolbox": "payload",
      "uuid": "b984e50b-3205-7b9c-a13e-4886e530c5aa",
      "url": "https://qpu.uuidna.com/u/b984e50b-3205-7b9c-a13e-4886e530c5aa",
      "title": "payload · @uuidna/qpu",
      "description": "With the Payload MCP's answers: the find and update doors recognised by what they take, two pages read, one qpu block without a theorem given textbook_plugin_combinations (the example configure-payload), one already naming its theorem left as it is; one update request emitted.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "payload-website",
      "tool": "payload",
      "toolbox": "payload",
      "uuid": "5abe7801-0df3-5793-aa3f-3cbdf46d5b04",
      "url": "https://qpu.uuidna.com/u/5abe7801-0df3-5793-aa3f-3cbdf46d5b04",
      "title": "payload · @uuidna/qpu",
      "description": "The source of payloadcms.com (github.com/payloadcms/website, MIT) read as a tree: twelve collections, thirty blocks, seven globals, ten fields, its own opsCounter plugin, and the four default plugins its config mounts; the live page's block types contentGrid and cta have their blocks in the source — the site is what Payload computes, verified.",
      "theorem": "textbook_website_plugins_partition",
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "payload-skills",
      "tool": "payload",
      "toolbox": "payload",
      "uuid": "bae0c712-289e-4b01-b24a-a5b0b5418bd7",
      "url": "https://qpu.uuidna.com/u/bae0c712-289e-4b01-b24a-a5b0b5418bd7",
      "title": "payload · @uuidna/qpu",
      "description": "Payload's skills for agents (github.com/payloadcms/skills) read as a tree: two skills, payload and cms-migration, their fourteen references, each mapped to the tool of this tree that enacts it; names and paths as facts, no text carried.",
      "theorem": "textbook_skills_documents",
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "payload-doc",
      "tool": "payload",
      "toolbox": "payload",
      "uuid": "192e1f43-a210-652b-b281-7c0ae0a67c1a",
      "url": "https://qpu.uuidna.com/u/192e1f43-a210-652b-b281-7c0ae0a67c1a",
      "title": "payload · @uuidna/qpu",
      "description": "The clay result as a Payload document: a lexical root with a heading, one qpu block of UUID logic and the licence paragraph; nested under its referer; the SEO fields from the block's Open Graph.",
      "theorem": "textbook_uuid_is_36",
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "extend-out",
      "tool": "extend",
      "toolbox": "extension",
      "uuid": "ac90951a-c876-4f72-b0c5-c369d6dc5927",
      "url": "https://qpu.uuidna.com/u/ac90951a-c876-4f72-b0c5-c369d6dc5927",
      "title": "extend · @uuidna/qpu",
      "description": "This catalogue as the registration any MCP client mounts: every tool as tools/list serves it, grouped by toolbox, at this tree's own endpoint; and as the Claude API mounts it, through the Messages API's MCP connector (mcp_servers with the mcp_toolset, beta mcp-client-2025-11-20), the tenant's key in the request.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "extend-in-request",
      "tool": "extend",
      "toolbox": "extension",
      "uuid": "60207721-dba7-8b46-8a0b-3bd8006d6aa1",
      "url": "https://qpu.uuidna.com/u/60207721-dba7-8b46-8a0b-3bd8006d6aa1",
      "title": "extend · @uuidna/qpu",
      "description": "Without the host's tools: the one tools/list request the client makes of Cloudflare's documentation server (no token needed there), and the integration matrix: every MCP this tree knows, its token name and what the tree does with it once open (GitHub → the repository watch through its doors; Cloudflare's eight → the verifier, the mirrors, the metrics, the wave, the audit, the prose, the tenants, the textbook; the Claude API → the operator agent, and outward the Messages API registration that mounts this catalogue).",
      "theorem": "textbook_integrations_are_ten",
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "extend-in-docs",
      "tool": "extend",
      "toolbox": "extension",
      "uuid": "052bb3af-623f-6678-ac68-32ddb917a682",
      "url": "https://qpu.uuidna.com/u/052bb3af-623f-6678-ac68-32ddb917a682",
      "title": "extend · @uuidna/qpu",
      "description": "Cloudflare's documentation server read into this catalogue: one door, docs.mcp.cloudflare.com:search_cloudflare_documentation, taking a query.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "extend-call-served",
      "tool": "extend",
      "toolbox": "extension",
      "uuid": "52a25f3d-761f-1f58-b5c4-87ec72b54981",
      "url": "https://qpu.uuidna.com/u/52a25f3d-761f-1f58-b5c4-87ec72b54981",
      "title": "extend · @uuidna/qpu",
      "description": "A foreign door served and its event-stream answer read back into the text the host returned.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "fold-ledger",
      "tool": "fold",
      "toolbox": "crypto",
      "uuid": "eea79f99-1ff0-46a2-a881-c96dbb0ffcad",
      "url": "https://qpu.uuidna.com/u/eea79f99-1ff0-46a2-a881-c96dbb0ffcad",
      "title": "fold · @uuidna/qpu",
      "description": "A forty-row ledger folded under a bound of 600 bytes: the pieces, each with its address, SHA-256 and key range, the root over them, the mirror piece of each across the fold, and the one piece the key k27 sits in — decided by comparisons, the whole never read for it.",
      "theorem": "textbook_fold_mirror",
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "seal-text",
      "tool": "seal",
      "toolbox": "crypto",
      "uuid": "eaa24aba-a098-80b0-9d9f-00be85766747",
      "url": "https://qpu.uuidna.com/u/eaa24aba-a098-80b0-9d9f-00be85766747",
      "title": "seal · @uuidna/qpu",
      "description": "SHA-256, the HMAC under a test key and the fold address of one text, the same at every host.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "vortex-trinity",
      "tool": "verify",
      "toolbox": "tree",
      "uuid": "d60075fc-d392-294f-b1dc-99f141dc0fda",
      "url": "https://qpu.uuidna.com/u/d60075fc-d392-294f-b1dc-99f141dc0fda",
      "title": "verify · @uuidna/qpu",
      "description": "The 9-vortex of a UUID read whole: the seed, its reflection under σ_10, the trinity it belongs to and the trinity it reflects into at the same time (3, 6, 9 ↔ 7, 4, 1; 2, 5, 8 into itself), and whether it sits in the key's trinity; stated by the kernel as triad_reflect.",
      "theorem": "triad_reflect",
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "css-stylesheet",
      "tool": "css",
      "toolbox": "tree",
      "uuid": "e208a362-7157-1bab-8f26-dba497d529b6",
      "url": "https://qpu.uuidna.com/u/e208a362-7157-1bab-8f26-dba497d529b6",
      "title": "css · @uuidna/qpu",
      "description": "The UI as CSS: the stylesheet from the key 432 with the rules that draw every block from its own custom properties, and the thirteen variables one UUID sets on its block root, its vortex seed and the seed's reflection summing to 10; no script anywhere.",
      "theorem": "textbook_reflection_sums_to_ten",
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "dashboard-processor",
      "tool": "dashboard",
      "toolbox": "tree",
      "uuid": "94f87633-ecc2-61e4-af84-f06b4b5e262a",
      "url": "https://qpu.uuidna.com/u/94f87633-ecc2-61e4-af84-f06b4b5e262a",
      "title": "dashboard · @uuidna/qpu",
      "description": "The processor tool laid out whole: its one facet (three devices) and the three combinations, each a final cell drawn by its own UUID with a link to its walk page, so the click is the decision.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "dashboard-algorithm-narrowed",
      "tool": "dashboard",
      "toolbox": "tree",
      "uuid": "1ade21c5-1024-3c26-a5c1-12b3a15de2be",
      "url": "https://qpu.uuidna.com/u/1ade21c5-1024-3c26-a5c1-12b3a15de2be",
      "title": "dashboard · @uuidna/qpu",
      "description": "The algorithm tool with its name fixed to shor: the space of every combination counted whole, and the next facet open as cells that narrow it further, until one combination remains and its cell is the walk.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "dashboard-index",
      "tool": "dashboard",
      "toolbox": "tree",
      "uuid": "05b9b86e-2305-6a98-8923-e744a0f13386",
      "url": "https://qpu.uuidna.com/u/05b9b86e-2305-6a98-8923-e744a0f13386",
      "title": "dashboard · @uuidna/qpu",
      "description": "Every tool with the size of its input space: how many combinations its enumerable facets admit, which properties stay free, and the address of its own dashboard.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "processor-willow",
      "tool": "processor",
      "toolbox": "google",
      "uuid": "193550e8-665b-6a96-a507-30b5b6e1fee7",
      "url": "https://qpu.uuidna.com/u/193550e8-665b-6a96-a507-30b5b6e1fee7",
      "title": "processor · @uuidna/qpu",
      "description": "How many qubits Willow has, as its spec sheet states it: 105, with average connectivity 3.47.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "processor-sycamore",
      "tool": "processor",
      "toolbox": "google",
      "uuid": "9aff481b-3d9c-7ad9-90fd-2bb260c75498",
      "url": "https://qpu.uuidna.com/u/9aff481b-3d9c-7ad9-90fd-2bb260c75498",
      "title": "processor · @uuidna/qpu",
      "description": "Sycamore from its printed diagram: 54 qubits and 88 couplers, derived and stated.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "circuit-hadamard-amplitudes",
      "tool": "circuit",
      "toolbox": "google",
      "uuid": "8b5cf7ba-6215-7914-b48e-ec77199aaec6",
      "url": "https://qpu.uuidna.com/u/8b5cf7ba-6215-7914-b48e-ec77199aaec6",
      "title": "circuit · @uuidna/qpu",
      "description": "A Hadamard gives two amplitudes of 1/√2.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "circuit-hadamard-sampled",
      "tool": "circuit",
      "toolbox": "google",
      "uuid": "306a00f0-cfb3-7a39-aad3-f97d9716fca4",
      "url": "https://qpu.uuidna.com/u/306a00f0-cfb3-7a39-aad3-f97d9716fca4",
      "title": "circuit · @uuidna/qpu",
      "description": "The same circuit measured: 400 bitstrings, each 0 or 1, in a histogram.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "circuit-bit-flip-noise",
      "tool": "circuit",
      "toolbox": "google",
      "uuid": "348a636f-4e19-8c71-8e08-bec16ba9fd1f",
      "url": "https://qpu.uuidna.com/u/348a636f-4e19-8c71-8e08-bec16ba9fd1f",
      "title": "circuit · @uuidna/qpu",
      "description": "An X gate under a bit-flip channel of p = 0.1 on the density matrix: probability 0.1 of reading 0, purity 0.1² + 0.9² = 0.82. Noise does not sample; it returns the mixed state.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "echo-returns",
      "tool": "echo",
      "toolbox": "google",
      "uuid": "baabb9d4-2479-5c36-a086-3518ac22a5fb",
      "url": "https://qpu.uuidna.com/u/baabb9d4-2479-5c36-a086-3518ac22a5fb",
      "title": "echo · @uuidna/qpu",
      "description": "H forward, Z, H back is X: the echo is destroyed, so the return probability is 0.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "echo-benchmark",
      "tool": "echo_benchmark",
      "toolbox": "google",
      "uuid": "280b026a-c46d-81c1-b912-e511c19b3629",
      "url": "https://qpu.uuidna.com/u/280b026a-c46d-81c1-b912-e511c19b3629",
      "title": "echo_benchmark · @uuidna/qpu",
      "description": "Quantum Echoes as Google states it: Willow, 105 qubits, the 13,000× figure (Google's, not this tree's).",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "roadmap-all",
      "tool": "roadmap",
      "toolbox": "google",
      "uuid": "22b7bc87-0cf8-11bf-aa7b-50c319494a76",
      "url": "https://qpu.uuidna.com/u/22b7bc87-0cf8-11bf-aa7b-50c319494a76",
      "title": "roadmap · @uuidna/qpu",
      "description": "The six roadmap milestones and the four application bands.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "roadmap-milestone-3",
      "tool": "roadmap",
      "toolbox": "google",
      "uuid": "0f5f0f93-b0ab-56fa-9efa-7c6ecd1e3d95",
      "url": "https://qpu.uuidna.com/u/0f5f0f93-b0ab-56fa-9efa-7c6ecd1e3d95",
      "title": "roadmap · @uuidna/qpu",
      "description": "One milestone by number.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "algorithm-shor-15",
      "tool": "algorithm",
      "toolbox": "google",
      "uuid": "6b74c2ba-f20a-54e9-b4e9-6bf43fa50fa4",
      "url": "https://qpu.uuidna.com/u/6b74c2ba-f20a-54e9-b4e9-6bf43fa50fa4",
      "title": "algorithm · @uuidna/qpu",
      "description": "Shor's circuit on the state-vector simulator: order 4 and factors 3 × 5 for N = 15, a = 7.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "algorithm-qft-3",
      "tool": "algorithm",
      "toolbox": "google",
      "uuid": "5fd59e04-d761-8e01-becf-a6ae57a47291",
      "url": "https://qpu.uuidna.com/u/5fd59e04-d761-8e01-becf-a6ae57a47291",
      "title": "algorithm · @uuidna/qpu",
      "description": "The QFT of |5⟩ on three qubits: eight amplitudes of equal magnitude.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "algorithm-grover",
      "tool": "algorithm",
      "toolbox": "google",
      "uuid": "1ba7b772-0dd5-8e1b-8920-5a1f99a11dfd",
      "url": "https://qpu.uuidna.com/u/1ba7b772-0dd5-8e1b-8920-5a1f99a11dfd",
      "title": "algorithm · @uuidna/qpu",
      "description": "Grover on two qubits finds the marked |00⟩ with certainty.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "algorithm-teleportation",
      "tool": "algorithm",
      "toolbox": "google",
      "uuid": "d7b77038-1a7d-193e-a79b-360d6eb7b58a",
      "url": "https://qpu.uuidna.com/u/d7b77038-1a7d-193e-a79b-360d6eb7b58a",
      "title": "algorithm · @uuidna/qpu",
      "description": "Teleportation: the received state matches the message on X, Y and Z.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "algorithm-phase-estimation",
      "tool": "algorithm",
      "toolbox": "google",
      "uuid": "2c1b84e8-4e11-7943-a99b-5d3ff553c371",
      "url": "https://qpu.uuidna.com/u/2c1b84e8-4e11-7943-a99b-5d3ff553c371",
      "title": "algorithm · @uuidna/qpu",
      "description": "Phase estimation reads θ = 0.25 exactly in three bits.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "algorithm-qaoa",
      "tool": "algorithm",
      "toolbox": "google",
      "uuid": "b2d82153-9d7a-63d9-904e-37bd98d44c10",
      "url": "https://qpu.uuidna.com/u/b2d82153-9d7a-63d9-904e-37bd98d44c10",
      "title": "algorithm · @uuidna/qpu",
      "description": "QAOA on the Cirq page's instance, sampled from the state's probabilities.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "software",
      "tool": "software",
      "toolbox": "google",
      "uuid": "941ef62e-d97b-2438-bfc8-22ae9e5da781",
      "url": "https://qpu.uuidna.com/u/941ef62e-d97b-2438-bfc8-22ae9e5da781",
      "title": "software · @uuidna/qpu",
      "description": "The Software page tools; only Cirq is implemented here.",
      "theorem": null,
      "breadcrumbs": 1,
      "blocks": 1
    },
    {
      "id": "statements-cirq",
      "tool": "statements",
      "toolbox": "google",
      "uuid": "cf045c24-4162-80c8-af47-3aef3773ea54",
      "url": "https://qpu.uuidna.com/u/cf045c24-4162-80c8-af47-3aef3773ea54",
      "title": "statements · @uuidna/qpu",
      "description": "One statement by topic.",
      "theorem": null,
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    },
    {
      "id": "repositories",
      "tool": "repositories",
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      "url": "https://qpu.uuidna.com/u/c8ff34b6-4a58-49f5-8fb8-ae6ede24fd0c",
      "title": "repositories · @uuidna/qpu",
      "description": "The fifteen quantumlib repositories.",
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    },
    {
      "id": "leads-all",
      "tool": "leads",
      "toolbox": "tree",
      "uuid": "81e9c1a0-45b6-8632-b9a6-de3f30637515",
      "url": "https://qpu.uuidna.com/u/81e9c1a0-45b6-8632-b9a6-de3f30637515",
      "title": "leads · @uuidna/qpu",
      "description": "Every lead with its status; the counts add up to the total.",
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    },
    {
      "id": "qec-bit-flip-0.1",
      "tool": "quantum-error-correction",
      "toolbox": "google",
      "uuid": "34ef4c03-bee3-3cea-b2f7-2970fe3a447e",
      "url": "https://qpu.uuidna.com/u/34ef4c03-bee3-3cea-b2f7-2970fe3a447e",
      "title": "quantum-error-correction · @uuidna/qpu",
      "description": "The three-qubit repetition code on the density matrix at p = 0.1: logical error 3p² − 2p³ = 0.028, below the raw 0.1.",
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    },
    {
      "id": "chemistry-h2",
      "tool": "chemistry-simulation",
      "toolbox": "google",
      "uuid": "a67a70bc-0295-108e-a2e0-fdbc56563622",
      "url": "https://qpu.uuidna.com/u/a67a70bc-0295-108e-a2e0-fdbc56563622",
      "title": "chemistry-simulation · @uuidna/qpu",
      "description": "H₂ in STO-3G at 0.7414 Å: the Hartree–Fock energy from the simulator is −1.1167 Ha and the variational minimum lies below it near −1.137 Ha.",
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    },
    {
      "id": "ftqc-all",
      "tool": "fault-tolerant-design",
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      "uuid": "f41cbc11-4002-37a1-94a3-fa5c4a912429",
      "url": "https://qpu.uuidna.com/u/f41cbc11-4002-37a1-94a3-fa5c4a912429",
      "title": "fault-tolerant-design · @uuidna/qpu",
      "description": "Resource counts read from six circuits this tree builds; one Toffoli costs 7 T gates by the cited decomposition.",
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    },
    {
      "id": "quantumlib-cirq",
      "tool": "quantumlib",
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      "uuid": "36105ef6-31bc-5d51-8b73-105065cc1b1f",
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      "description": "What this tree implements of Cirq, as a cross-reference of its exports.",
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    },
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      "title": "clay · @uuidna/qpu",
      "description": "The 54 Clay relations recomputed in exact integer arithmetic: all hold, the widest value needs 33 bits (amplitudes = 2^32), three 16-bit limbs on an 8-bit machine.",
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    },
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      "title": "clay · @uuidna/qpu",
      "description": "The register read by the technique: every relation's value as a vortex seed with its σ_10 reflection and both trinities, the relations whose seeds reflect each other paired, the fixed ones (seed 5) and the ones in the key's trinity named, and the plan to ask the unit's sequence door every value.",
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    },
    {
      "id": "clay-relation-15",
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      "toolbox": "tree",
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    },
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      "tool": "verify",
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      "uuid": "25dcba9d-b75a-7ace-83de-696a09e5ca55",
      "url": "https://qpu.uuidna.com/u/25dcba9d-b75a-7ace-83de-696a09e5ca55",
      "title": "verify · @uuidna/qpu",
      "description": "One UUID checked cheaply: its seal from its own 31 nibbles, and its content by one fold.",
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    },
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      "tool": "verify",
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      "description": "A UUID with one nibble changed: the content-decided version no longer agrees, and no content was needed to see it.",
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    },
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      "description": "A statement in Bulgarian with a Glagolitic numeral, translated by vocabulary offline, matched, and answered with its verdict in Bulgarian.",
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    },
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    },
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    },
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    },
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        ],
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        },
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        ],
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            "url": "/u/36105ef6-31bc-5d51-8b73-105065cc1b1f",
            "label": "quantumlib · @uuidna/qpu"
          }
        ]
      },
      {
        "id": "47444080-5364-8243-b4b5-dda883e07009",
        "title": "clay · @uuidna/qpu",
        "slug": "/u/47444080-5364-8243-b4b5-dda883e07009",
        "layout": [
          {
            "blockType": "qpu",
            "tool": "clay",
            "uuid": "47444080-5364-8243-b4b5-dda883e07009"
          }
        ],
        "meta": {
          "title": "clay · @uuidna/qpu",
          "description": "The 54 Clay relations recomputed in exact integer arithmetic: all hold, the widest value needs 33 bits (amplitudes = 2^32), three 16-bit limbs on an 8-bit machine."
        },
        "breadcrumbs": [
          {
            "doc": "47444080-5364-8243-b4b5-dda883e07009",
            "url": "/u/47444080-5364-8243-b4b5-dda883e07009",
            "label": "clay · @uuidna/qpu"
          }
        ]
      },
      {
        "id": "e7865186-29a6-3005-9a18-65e1b152f2d8",
        "title": "clay · @uuidna/qpu",
        "slug": "/u/e7865186-29a6-3005-9a18-65e1b152f2d8",
        "layout": [
          {
            "blockType": "qpu",
            "tool": "clay",
            "uuid": "e7865186-29a6-3005-9a18-65e1b152f2d8"
          }
        ],
        "meta": {
          "title": "clay · @uuidna/qpu",
          "description": "The register read by the technique: every relation's value as a vortex seed with its σ_10 reflection and both trinities, the relations whose seeds reflect each other paired, the fixed ones (seed 5) and the ones in the key's trinity named, and the plan to ask the unit's sequence door every value."
        },
        "breadcrumbs": [
          {
            "doc": "e7865186-29a6-3005-9a18-65e1b152f2d8",
            "url": "/u/e7865186-29a6-3005-9a18-65e1b152f2d8",
            "label": "clay · @uuidna/qpu"
          }
        ]
      },
      {
        "id": "20e51f9f-aec0-2af3-89df-e9eea59639d3",
        "title": "clay · @uuidna/qpu",
        "slug": "/u/20e51f9f-aec0-2af3-89df-e9eea59639d3",
        "layout": [
          {
            "blockType": "qpu",
            "tool": "clay",
            "uuid": "20e51f9f-aec0-2af3-89df-e9eea59639d3"
          }
        ],
        "meta": {
          "title": "clay · @uuidna/qpu",
          "description": "One relation: magicBlock = glProd hexbit seed = qftDepth vertices = 15."
        },
        "breadcrumbs": [
          {
            "doc": "20e51f9f-aec0-2af3-89df-e9eea59639d3",
            "url": "/u/20e51f9f-aec0-2af3-89df-e9eea59639d3",
            "label": "clay · @uuidna/qpu"
          }
        ]
      },
      {
        "id": "25dcba9d-b75a-7ace-83de-696a09e5ca55",
        "title": "verify · @uuidna/qpu",
        "slug": "/u/25dcba9d-b75a-7ace-83de-696a09e5ca55",
        "layout": [
          {
            "blockType": "qpu",
            "tool": "verify",
            "uuid": "25dcba9d-b75a-7ace-83de-696a09e5ca55"
          }
        ],
        "meta": {
          "title": "verify · @uuidna/qpu",
          "description": "One UUID checked cheaply: its seal from its own 31 nibbles, and its content by one fold."
        },
        "breadcrumbs": [
          {
            "doc": "25dcba9d-b75a-7ace-83de-696a09e5ca55",
            "url": "/u/25dcba9d-b75a-7ace-83de-696a09e5ca55",
            "label": "verify · @uuidna/qpu"
          }
        ]
      },
      {
        "id": "f93184e4-21a7-3659-8487-c672c549479f",
        "title": "verify · @uuidna/qpu",
        "slug": "/u/f93184e4-21a7-3659-8487-c672c549479f",
        "layout": [
          {
            "blockType": "qpu",
            "tool": "verify",
            "uuid": "f93184e4-21a7-3659-8487-c672c549479f"
          }
        ],
        "meta": {
          "title": "verify · @uuidna/qpu",
          "description": "A UUID with one nibble changed: the content-decided version no longer agrees, and no content was needed to see it."
        },
        "breadcrumbs": [
          {
            "doc": "f93184e4-21a7-3659-8487-c672c549479f",
            "url": "/u/f93184e4-21a7-3659-8487-c672c549479f",
            "label": "verify · @uuidna/qpu"
          }
        ]
      },
      {
        "id": "b48ee89b-7274-2ed2-be93-49e96f8c2f15",
        "title": "match · @uuidna/qpu",
        "slug": "/u/b48ee89b-7274-2ed2-be93-49e96f8c2f15",
        "layout": [
          {
            "blockType": "qpu",
            "tool": "match",
            "uuid": "b48ee89b-7274-2ed2-be93-49e96f8c2f15"
          }
        ],
        "meta": {
          "title": "match · @uuidna/qpu",
          "description": "Any statement, matched: this one is served by the processor tool."
        },
        "breadcrumbs": [
          {
            "doc": "b48ee89b-7274-2ed2-be93-49e96f8c2f15",
            "url": "/u/b48ee89b-7274-2ed2-be93-49e96f8c2f15",
            "label": "match · @uuidna/qpu"
          }
        ]
      },
      {
        "id": "041db96e-7eb1-5b03-8061-d6e5146c3dcb",
        "title": "match · @uuidna/qpu",
        "slug": "/u/041db96e-7eb1-5b03-8061-d6e5146c3dcb",
        "layout": [
          {
            "blockType": "qpu",
            "tool": "match",
            "uuid": "041db96e-7eb1-5b03-8061-d6e5146c3dcb"
          }
        ],
        "meta": {
          "title": "match · @uuidna/qpu",
          "description": "A Glagolitic numeral read as the integer 15 before the match: served by the algorithm tool, factored 3 × 5 in the reflection."
        },
        "breadcrumbs": [
          {
            "doc": "041db96e-7eb1-5b03-8061-d6e5146c3dcb",
            "url": "/u/041db96e-7eb1-5b03-8061-d6e5146c3dcb",
            "label": "match · @uuidna/qpu"
          }
        ]
      },
      {
        "id": "29ffb847-0fe5-8f00-94d2-4906dce3071e",
        "title": "match · @uuidna/qpu",
        "slug": "/u/29ffb847-0fe5-8f00-94d2-4906dce3071e",
        "layout": [
          {
            "blockType": "qpu",
            "tool": "match",
            "uuid": "29ffb847-0fe5-8f00-94d2-4906dce3071e"
          }
        ],
        "meta": {
          "title": "match · @uuidna/qpu",
          "description": "A statement in Bulgarian with a Glagolitic numeral, translated by vocabulary offline, matched, and answered with its verdict in Bulgarian."
        },
        "breadcrumbs": [
          {
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            "label": "match · @uuidna/qpu"
          }
        ]
      },
      {
        "id": "2d9ddf6e-29c8-1560-a159-b10bd6acf0d9",
        "title": "match · @uuidna/qpu",
        "slug": "/u/2d9ddf6e-29c8-1560-a159-b10bd6acf0d9",
        "layout": [
          {
            "blockType": "qpu",
            "tool": "match",
            "uuid": "2d9ddf6e-29c8-1560-a159-b10bd6acf0d9"
          }
        ],
        "meta": {
          "title": "match · @uuidna/qpu",
          "description": "Solved first by the QPU textbook: the statement names a kernel-accepted theorem, so it is served by that theorem, proven, before any tool is called."
        },
        "breadcrumbs": [
          {
            "doc": "2d9ddf6e-29c8-1560-a159-b10bd6acf0d9",
            "url": "/u/2d9ddf6e-29c8-1560-a159-b10bd6acf0d9",
            "label": "match · @uuidna/qpu"
          }
        ]
      },
      {
        "id": "51128ead-da96-269f-a616-c5954d747cda",
        "title": "match · @uuidna/qpu",
        "slug": "/u/51128ead-da96-269f-a616-c5954d747cda",
        "layout": [
          {
            "blockType": "qpu",
            "tool": "match",
            "uuid": "51128ead-da96-269f-a616-c5954d747cda"
          }
        ],
        "meta": {
          "title": "match · @uuidna/qpu",
          "description": "Pattern recognition: a UUID in the statement opens the verify door before any token match; the match names the pattern and carries the verification."
        },
        "breadcrumbs": [
          {
            "doc": "51128ead-da96-269f-a616-c5954d747cda",
            "url": "/u/51128ead-da96-269f-a616-c5954d747cda",
            "label": "match · @uuidna/qpu"
          }
        ]
      },
      {
        "id": "c4e0d882-e648-73e1-8745-ecf91b956890",
        "title": "match · @uuidna/qpu",
        "slug": "/u/c4e0d882-e648-73e1-8745-ecf91b956890",
        "layout": [
          {
            "blockType": "qpu",
            "tool": "match",
            "uuid": "c4e0d882-e648-73e1-8745-ecf91b956890"
          }
        ],
        "meta": {
          "title": "match · @uuidna/qpu",
          "description": "Pattern recognition: \"dashboard of <tool>\" lays the tool out whole."
        },
        "breadcrumbs": [
          {
            "doc": "c4e0d882-e648-73e1-8745-ecf91b956890",
            "url": "/u/c4e0d882-e648-73e1-8745-ecf91b956890",
            "label": "match · @uuidna/qpu"
          }
        ]
      },
      {
        "id": "0cf11a61-f025-10c2-9d48-4ce83d2f4ee2",
        "title": "match · @uuidna/qpu",
        "slug": "/u/0cf11a61-f025-10c2-9d48-4ce83d2f4ee2",
        "layout": [
          {
            "blockType": "qpu",
            "tool": "match",
            "uuid": "0cf11a61-f025-10c2-9d48-4ce83d2f4ee2"
          }
        ],
        "meta": {
          "title": "match · @uuidna/qpu",
          "description": "Any statement, proved impossible from the schema: algorithm.N is bounded to 21; the cluster names what is served instead."
        },
        "breadcrumbs": [
          {
            "doc": "0cf11a61-f025-10c2-9d48-4ce83d2f4ee2",
            "url": "/u/0cf11a61-f025-10c2-9d48-4ce83d2f4ee2",
            "label": "match · @uuidna/qpu"
          }
        ]
      }
    ]
  }
}

payload · payload-doc

The clay result as a Payload document: a lexical root with a heading, one qpu block of UUID logic and the licence paragraph; nested under its referer; the SEO fields from the block's Open Graph.

{"name":"payload","arguments":{"tool":"clay","arguments":{"name":"relation_15"},"prev":"016da774-e74c-2e44-8742-f8bcf5e8e8f5"}}

✓ as expected

payload · Any tool's result as the document Payload's default plugins hold, no custom collection: a lexical document whose one block is the programmable UUID logic (uuid, handle, program, tail, tool, arguments, prev, next), nested by the referer chain as nested-docs nests (parent, breadcrumbs), the SEO plugin's title, description and image from the block's Open Graph, the JSON-LD and the licence. Every tools/call result carries the same in _meta.payload.

tool

clay

uuid

20e51f9f-aec0-2af3-89df-e9eea59639d3

blocks

1

breadcrumbs

2

parent

016da774-e74c-2e44-8742-f8bcf5e8e8f5

bytes

7340

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

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  "uuid": "20e51f9f-aec0-2af3-89df-e9eea59639d3",
  "blocks": 1,
  "breadcrumbs": 2,
  "parent": "016da774-e74c-2e44-8742-f8bcf5e8e8f5",
  "bytes": 7340,
  "doc": {
    "id": "20e51f9f-aec0-2af3-89df-e9eea59639d3",
    "lexical": {
      "root": {
        "type": "root",
        "version": 1,
        "direction": "ltr",
        "format": "",
        "indent": 0,
        "children": [
          {
            "type": "heading",
            "tag": "h2",
            "version": 1,
            "format": "",
            "indent": 0,
            "direction": "ltr",
            "children": [
              {
                "type": "text",
                "version": 1,
                "text": "clay · @uuidna/qpu",
                "format": 0,
                "mode": "normal",
                "style": "",
                "detail": 0
              }
            ]
          },
          {
            "type": "block",
            "version": 2,
            "format": "",
            "fields": {
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              "blockName": "clay",
              "blockType": "qpu",
              "uuid": "20e51f9f-aec0-2af3-89df-e9eea59639d3",
              "handle": "20e51f9f",
              "program": "10141201015391315",
              "tail": "e9eea59639d3",
              "tool": "clay",
              "arguments": {
                "name": "relation_15"
              },
              "prev": "016da774-e74c-2e44-8742-f8bcf5e8e8f5",
              "next": "20e51f9f-ec0a-2f39-8dfa-e9eea59639d3",
              "html": "<div data-block=\"20e51f9f-aec0-2af3-89df-e9eea59639d3\" class=\"qpu-block\" data-vortex=\"7\" style=\"--qpu-reflected-hue: 89; --qpu-drift: 182; --qpu-dust: 2 7 13; --qpu-drift-angle: 3.176499; --qpu-hue: 271; --qpu-c: 0.683; --qpu-m: 0.010; --qpu-y: 0.951; --qpu-k: 0.617; --qpu-accent: rgb(31 97 5); --qpu-tail: rgb(233 238 165); --qpu-angle: 259; --qpu-vortex: 7; --qpu-reflection: 3; --qpu-trinity: 7; --qpu-period: 3024ms; --block-accent: rgb(31 97 5); border-left: 3px solid var(--qpu-accent); padding-left: var(--pad-sm, 8px);\"><div role=\"heading\" aria-level=\"2\" style=\"font-size: var(--font-size-footnote); color: var(--text-muted); margin-bottom: var(--gap-sm, 6px);\">clay · The Clay register recomputed in exact integer arithmetic: the Lean definitions of Qpu/Clay.lean and its imports ported one for one, every relation_N statement parsed and evaluated, each side's value and the bit width it needs reported. What the Lean kernel accepted by rfl, redone with + − × ÷ on naturals only, so a small machine can redo the same sums and compare addresses. Nothing here is a proof of an open problem: the relations are identities between the unit's own constants.</div><div style=\"font-family: var(--font-sans); color: var(--text-primary); display: grid; gap: var(--gap-md);\"><div style=\"display: grid; grid-template-columns: repeat(auto-fit, minmax(140px, 1fr)); gap: var(--gap-md);\"><div style=\"background: var(--surface-1); border-radius: var(--radius); padding: var(--pad-md);\"><div style=\"font-size: var(--font-size-footnote); color: var(--text-muted);\">Relations</div><div style=\"font-size: var(--font-size-title); font-weight: 500; color: var(--text-primary);\">54</div></div><div style=\"background: var(--surface-1); border-radius: var(--radius); padding: var(--pad-md);\"><div style=\"font-size: var(--font-size-footnote); color: var(--text-muted);\">Holding</div><div style=\"font-size: var(--font-size-title); font-weight: 500; color: var(--text-primary);\">54</div></div><div style=\"background: var(--surface-1); border-radius: var(--radius); padding: var(--pad-md);\"><div style=\"font-size: var(--font-size-footnote); color: var(--text-muted);\">Widest value</div><div style=\"font-size: var(--font-size-title); font-weight: 500; color: var(--text-primary);\">33 bits</div></div></div><div style=\"background: var(--surface-2); border: 0.5px solid var(--border); border-radius: 12px; padding: var(--pad-sm) var(--pad-md); overflow-x: auto;\"><table style=\"width: 100%; border-collapse: collapse; font-size: var(--font-size-footnote);\"><thead><tr><th style=\"text-align: left; color: var(--text-secondary); font-weight: 500; padding: var(--gap-xs) var(--gap-sm); border-bottom: 0.5px solid var(--border);\">Relation</th><th style=\"text-align: left; color: var(--text-secondary); font-weight: 500; padding: var(--gap-xs) var(--gap-sm); border-bottom: 0.5px solid var(--border);\">Holds</th><th style=\"text-align: left; color: var(--text-secondary); font-weight: 500; padding: var(--gap-xs) var(--gap-sm); border-bottom: 0.5px solid var(--border);\">Bits</th><th style=\"text-align: left; color: var(--text-secondary); font-weight: 500; padding: var(--gap-xs) var(--gap-sm); border-bottom: 0.5px solid var(--border);\">Sides</th></tr></thead><tbody><tr><td style=\"color: var(--text-primary); padding: var(--gap-xs) var(--gap-sm); border-bottom: 0.5px solid var(--border);\">relation_15</td><td style=\"color: var(--text-primary); padding: var(--gap-xs) var(--gap-sm); border-bottom: 0.5px solid var(--border);\">✓</td><td style=\"color: var(--text-primary); padding: var(--gap-xs) var(--gap-sm); border-bottom: 0.5px solid var(--border);\">4</td><td style=\"color: var(--text-primary); padding: var(--gap-xs) var(--gap-sm); border-bottom: 0.5px solid var(--border);\">magicBlock = 15 · glProd hexbit seed = 15 · qftDepth vertices = 15</td></tr></tbody></table></div></div><p data-license=\"CC-BY-NC-ND-4.0\" style=\"font-size: var(--font-size-footnote, 11px); color: var(--text-secondary); margin: var(--gap-sm, 6px) 0 0;\">© <a href=\"https://orcid.org/0009-0000-7312-9778\" style=\"color: inherit;\">Tsvetan Rouschev</a> · <a href=\"https://uuidna.com/license\" style=\"color: inherit;\">CC-BY-NC-ND-4.0</a> · commercial use by licence (ceccec@psg.bg)</p></div>",
              "license": "CC-BY-NC-ND-4.0"
            }
          },
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            "format": "",
            "indent": 0,
            "direction": "ltr",
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            "children": [
              {
                "type": "text",
                "version": 1,
                "text": "Tsvetan Rouschev, @uuidna/qpu, CC-BY-NC-ND-4.0 (https://orcid.org/0009-0000-7312-9778). Attribute the author; do not distribute a derivative; commercial use of the QPU framework, over UUID or by any other means, requires a licence from the author (ceccec@psg.bg). The a432 harmonic default is offered for free benefit under attribution.",
                "format": 0,
                "mode": "normal",
                "style": "",
                "detail": 0
              }
            ]
          }
        ]
      }
    },
    "nestedDocs": {
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      "breadcrumbs": [
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          "doc": "016da774-e74c-2e44-8742-f8bcf5e8e8f5",
          "url": "https://qpu.uuidna.com/u/016da774-e74c-2e44-8742-f8bcf5e8e8f5",
          "label": "016da774"
        },
        {
          "doc": "20e51f9f-aec0-2af3-89df-e9eea59639d3",
          "url": "https://qpu.uuidna.com/u/20e51f9f-aec0-2af3-89df-e9eea59639d3",
          "label": "20e51f9f"
        }
      ]
    },
    "seo": {
      "title": "clay · @uuidna/qpu",
      "description": "{\"relations\":[{\"name\":\"relation_15\",\"statement\":\"magicBlock = glProd hexbit seed ∧ magicBlock = qftDepth vertices\",\"sides\":[{\"expression\":\"magicBlock\",\"value\":15},{\"expression\":\"glProd hexbit seed\"…",
      "image": null
    },
    "jsonLd": {
      "@context": "https://schema.org",
      "@type": "CreativeWork",
      "@id": "https://qpu.uuidna.com/u/20e51f9f-aec0-2af3-89df-e9eea59639d3",
      "identifier": "20e51f9f-aec0-2af3-89df-e9eea59639d3",
      "name": "clay · @uuidna/qpu",
      "description": "{\"relations\":[{\"name\":\"relation_15\",\"statement\":\"magicBlock = glProd hexbit seed ∧ magicBlock = qftDepth vertices\",\"sides\":[{\"expression\":\"magicBlock\",\"value\":15},{\"expression\":\"glProd hexbit seed\"…",
      "isPartOf": {
        "@type": "SoftwareApplication",
        "name": "@uuidna/qpu",
        "applicationCategory": "DeveloperApplication",
        "license": "https://uuidna.com/license",
        "author": {
          "@type": "Person",
          "name": "Tsvetan Rouschev",
          "@id": "https://orcid.org/0009-0000-7312-9778",
          "identifier": "https://orcid.org/0009-0000-7312-9778"
        }
      },
      "author": {
        "@type": "Person",
        "name": "Tsvetan Rouschev",
        "@id": "https://orcid.org/0009-0000-7312-9778",
        "identifier": "https://orcid.org/0009-0000-7312-9778"
      },
      "license": "https://uuidna.com/license",
      "inLanguage": "en",
      "dateModified": "2026-10-25T21:38:29.868Z",
      "keywords": "clay, qpu, MCP, quantum",
      "isAccessibleForFree": true
    },
    "license": "CC-BY-NC-ND-4.0"
  }
}

extend · extend-out

This catalogue as the registration any MCP client mounts: every tool as tools/list serves it, grouped by toolbox, at this tree's own endpoint; and as the Claude API mounts it, through the Messages API's MCP connector (mcp_servers with the mcp_toolset, beta mcp-client-2025-11-20), the tenant's key in the request.

{"name":"extend","arguments":{"direction":"out"}}

✓ as expected

extend · QPU as the natural extension of every MCP and every MCP of QPU. Inward (host, tools): the host's tools/list read into doors that join this catalogue as host:tool, with what each takes and answers; without tools, the one request the client makes for them (a tenant's token travels in the request, never here). Outward: this catalogue as the registration any MCP client mounts. call (host, tool, arguments): the request that serves a foreign door; with answer, what it answered, read whether JSON or an event stream. Pure; the client fetches. Cloudflare's eight servers are extended by default, the documentation one in the open.

host

qpu.uuidna.com

direction

out

phase

registration

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "host": "qpu.uuidna.com",
  "direction": "out",
  "defaults": [
    "https://uuidna.com/mcp",
    "https://qpu.uuidna.com/mcp",
    "https://docs.mcp.cloudflare.com/mcp",
    "https://bindings.mcp.cloudflare.com/mcp",
    "https://observability.mcp.cloudflare.com/mcp",
    "https://radar.mcp.cloudflare.com/mcp",
    "https://browser.mcp.cloudflare.com/mcp",
    "https://ai-gateway.mcp.cloudflare.com/mcp",
    "https://dns-analytics.mcp.cloudflare.com/mcp",
    "https://autorag.mcp.cloudflare.com/mcp",
    "https://api.githubcopilot.com/mcp/"
  ],
  "cloudflare": [
    {
      "host": "docs.mcp.cloudflare.com",
      "url": "https://docs.mcp.cloudflare.com/mcp",
      "about": "the Cloudflare documentation, searchable"
    },
    {
      "host": "bindings.mcp.cloudflare.com",
      "url": "https://bindings.mcp.cloudflare.com/mcp",
      "about": "Workers bindings: KV, R2, D1, Durable Objects of the account"
    },
    {
      "host": "observability.mcp.cloudflare.com",
      "url": "https://observability.mcp.cloudflare.com/mcp",
      "about": "Workers logs and analytics of the account"
    },
    {
      "host": "radar.mcp.cloudflare.com",
      "url": "https://radar.mcp.cloudflare.com/mcp",
      "about": "Cloudflare Radar: internet traffic and trends"
    },
    {
      "host": "browser.mcp.cloudflare.com",
      "url": "https://browser.mcp.cloudflare.com/mcp",
      "about": "browser rendering: fetch and screenshot pages"
    },
    {
      "host": "ai-gateway.mcp.cloudflare.com",
      "url": "https://ai-gateway.mcp.cloudflare.com/mcp",
      "about": "AI Gateway logs and prompts"
    },
    {
      "host": "dns-analytics.mcp.cloudflare.com",
      "url": "https://dns-analytics.mcp.cloudflare.com/mcp",
      "about": "DNS analytics of the account's zones"
    },
    {
      "host": "autorag.mcp.cloudflare.com",
      "url": "https://autorag.mcp.cloudflare.com/mcp",
      "about": "AutoRAG: the account's indexed documents"
    }
  ],
  "integrations": [
    {
      "host": "docs.mcp.cloudflare.com",
      "url": "https://docs.mcp.cloudflare.com/mcp",
      "auth": "none",
      "token": null,
      "about": "the Cloudflare documentation, searchable",
      "maps": "the verifier cloudflare-docs: a fact on developers.cloudflare.com is searched there (search_cloudflare_documentation)"
    },
    {
      "host": "bindings.mcp.cloudflare.com",
      "url": "https://bindings.mcp.cloudflare.com/mcp",
      "auth": "token",
      "token": "QPU_MCP_TOKEN_BINDINGS_MCP_CLOUDFLARE_COM[_<TENANT>]",
      "about": "Workers bindings: KV, R2, D1, Durable Objects of the account",
      "maps": "the docket's mirrors: KV, R2, D1 and Durable Objects of the tenant read as mirrors to heal by address"
    },
    {
      "host": "observability.mcp.cloudflare.com",
      "url": "https://observability.mcp.cloudflare.com/mcp",
      "auth": "token",
      "token": "QPU_MCP_TOKEN_OBSERVABILITY_MCP_CLOUDFLARE_COM[_<TENANT>]",
      "about": "Workers logs and analytics of the account",
      "maps": "the metrics tool: the Worker's logs and analytics beside the balancer's own counts"
    },
    {
      "host": "radar.mcp.cloudflare.com",
      "url": "https://radar.mcp.cloudflare.com/mcp",
      "auth": "token",
      "token": "QPU_MCP_TOKEN_RADAR_MCP_CLOUDFLARE_COM[_<TENANT>]",
      "about": "Cloudflare Radar: internet traffic and trends",
      "maps": "the legal audit: internet-wide facts as public datasets"
    },
    {
      "host": "browser.mcp.cloudflare.com",
      "url": "https://browser.mcp.cloudflare.com/mcp",
      "auth": "token",
      "token": "QPU_MCP_TOKEN_BROWSER_MCP_CLOUDFLARE_COM[_<TENANT>]",
      "about": "browser rendering: fetch and screenshot pages",
      "maps": "the verification wave: a page rendered at the edge when a verifier needs the page as a browser sees it"
    },
    {
      "host": "ai-gateway.mcp.cloudflare.com",
      "url": "https://ai-gateway.mcp.cloudflare.com/mcp",
      "auth": "token",
      "token": "QPU_MCP_TOKEN_AI_GATEWAY_MCP_CLOUDFLARE_COM[_<TENANT>]",
      "about": "AI Gateway logs and prompts",
      "maps": "the prose tool: generation logged through the tenant's gateway, never a token of this tree"
    },
    {
      "host": "dns-analytics.mcp.cloudflare.com",
      "url": "https://dns-analytics.mcp.cloudflare.com/mcp",
      "auth": "token",
      "token": "QPU_MCP_TOKEN_DNS_ANALYTICS_MCP_CLOUDFLARE_COM[_<TENANT>]",
      "about": "DNS analytics of the account's zones",
      "maps": "the tenants: the custom domains' DNS read per tenant"
    },
    {
      "host": "autorag.mcp.cloudflare.com",
      "url": "https://autorag.mcp.cloudflare.com/mcp",
      "auth": "token",
      "token": "QPU_MCP_TOKEN_AUTORAG_MCP_CLOUDFLARE_COM[_<TENANT>]",
      "about": "AutoRAG: the account's indexed documents",
      "maps": "the textbook: the tenant's indexed documents as a textbook to categorise"
    },
    {
      "host": "api.anthropic.com",
      "url": "https://api.anthropic.com/v1/messages",
      "auth": "token",
      "token": "QPU_MCP_TOKEN_API_ANTHROPIC_COM[_<TENANT>]",
      "about": "the Claude API: messages, the MCP connector that mounts this catalogue into a request, the Models door",
      "maps": "the operator agent of the legal audit and the prose tool when the tenant's key opens it (never by default: free doors first); outward, extend answers the Messages API registration that mounts this catalogue (mcp_servers + mcp_toolset, beta mcp-client-2025-11-20)"
    },
    {
      "host": "api.githubcopilot.com",
      "url": "https://api.githubcopilot.com/mcp/",
      "auth": "token",
      "token": "QPU_MCP_TOKEN_API_GITHUBCOPILOT_COM[_<TENANT>]",
      "about": "GitHub: repositories, branches, tags, releases, issues, pull requests, actions of the tenant's account",
      "maps": "the repository toolbox: branches, tags and releases watched through the doors list_branches, list_tags and list_releases instead of the REST contract; the next-leads docket as issues when the tenant asks"
    }
  ],
  "outward": {
    "tools": [
      {
        "name": "processor",
        "description": "A Google Quantum AI processor as its spec sheet states it: qubits, the grid, the two chips, and the magic-state figures.",
        "inputSchema": {
          "type": "object",
          "required": [
            "name"
          ],
          "properties": {
            "name": {
              "enum": [
                "Willow",
                "Sycamore",
                "Sycamore23"
              ]
            }
          }
        },
        "_meta": {
          "toolbox": "google"
        }
      },
      {
        "name": "circuit",
        "description": "Compile a circuit from its operations, placed by an insert strategy, and simulate it. Without noise or observables: the final amplitudes, or sampled bitstrings and their histogram when there is a measurement. With noise channels (as Cirq names them) or Pauli observables: the density matrix, its basis probabilities, trace, purity and the expectation values. A device validates the circuit first.",
        "inputSchema": {
          "type": "object",
          "required": [
            "operations"
          ],
          "properties": {
            "operations": {
              "type": "array",
              "items": {
                "type": "object",
                "required": [
                  "gate",
                  "qubits"
                ],
                "properties": {
                  "gate": {
                    "enum": [
                      "X",
                      "Y",
                      "Z",
                      "H",
                      "CZ",
                      "CNOT",
                      "SWAP",
                      "TOFFOLI"
                    ]
                  },
                  "qubits": {
                    "type": "array",
                    "items": {
                      "oneOf": [
                        {
                          "type": "object",
                          "required": [
                            "kind",
                            "row",
                            "col"
                          ],
                          "properties": {
                            "kind": {
                              "const": "grid"
                            },
                            "row": {
                              "type": "integer"
                            },
                            "col": {
                              "type": "integer"
                            }
                          }
                        },
                        {
                          "type": "object",
                          "required": [
                            "kind",
                            "x"
                          ],
                          "properties": {
                            "kind": {
                              "const": "line"
                            },
                            "x": {
                              "type": "integer"
                            }
                          }
                        },
                        {
                          "type": "object",
                          "required": [
                            "kind",
                            "name"
                          ],
                          "properties": {
                            "kind": {
                              "const": "named"
                            },
                            "name": {
                              "type": "string"
                            }
                          }
                        }
                      ]
                    }
                  },
                  "exponent": {
                    "type": "number",
                    "description": "the power of the gate, as Cirq writes it: 0.5 for X**0.5, the square root of NOT"
                  }
                }
              }
            },
            "insert": {
              "enum": [
                "EARLIEST",
                "NEW",
                "INLINE",
                "NEW_THEN_INLINE"
              ],
              "default": "EARLIEST"
            },
            "device": {
              "enum": [
                "Willow",
                "Sycamore",
                "Sycamore23"
              ],
              "description": "validate the circuit against this device first"
            },
            "measure": {
              "type": "object",
              "required": [
                "key",
                "qubits"
              ],
              "properties": {
                "key": {
                  "type": "string"
                },
                "qubits": {
                  "type": "array",
                  "items": {
                    "oneOf": [
                      {
                        "type": "object",
                        "required": [
                          "kind",
                          "row",
                          "col"
                        ],
                        "properties": {
                          "kind": {
                            "const": "grid"
                          },
                          "row": {
                            "type": "integer"
                          },
                          "col": {
                            "type": "integer"
                          }
                        }
                      },
                      {
                        "type": "object",
                        "required": [
                          "kind",
                          "x"
                        ],
                        "properties": {
                          "kind": {
                            "const": "line"
                          },
                          "x": {
                            "type": "integer"
                          }
                        }
                      },
                      {
                        "type": "object",
                        "required": [
                          "kind",
                          "name"
                        ],
                        "properties": {
                          "kind": {
                            "const": "named"
                          },
                          "name": {
                            "type": "string"
                          }
                        }
                      }
                    ]
                  }
                }
              }
            },
            "repetitions": {
              "type": "integer",
              "minimum": 1,
              "maximum": 10000,
              "default": 100
            },
            "noise": {
              "type": "array",
              "items": {
                "type": "object",
                "required": [
                  "name"
                ],
                "properties": {
                  "name": {
                    "enum": [
                      "bit_flip",
                      "phase_flip",
                      "depolarize",
                      "asymmetric_depolarize",
                      "amplitude_damp",
                      "phase_damp",
                      "generalized_amplitude_damp",
                      "reset"
                    ]
                  },
                  "p": {
                    "type": "number",
                    "minimum": 0,
                    "maximum": 1
                  },
                  "p_x": {
                    "type": "number",
                    "minimum": 0,
                    "maximum": 1
                  },
                  "p_y": {
                    "type": "number",
                    "minimum": 0,
                    "maximum": 1
                  },
                  "p_z": {
                    "type": "number",
                    "minimum": 0,
                    "maximum": 1
                  },
                  "gamma": {
                    "type": "number",
                    "minimum": 0,
                    "maximum": 1
                  }
                }
              },
              "description": "channels applied after every gate, on each of its qubits"
            },
            "observables": {
              "type": "array",
              "items": {
                "type": "object",
                "description": "A Pauli string: each qubit key (line:x, grid:row,col or named:name) mapped to X, Y or Z; unlisted qubits take the identity",
                "additionalProperties": {
                  "enum": [
                    "X",
                    "Y",
                    "Z"
                  ]
                }
              }
            },
            "device_noise": {
              "enum": [
                "willow_error_correction",
                "willow_random_circuit_sampling"
              ],
              "description": "the noise of a Willow chip, from its spec sheet medians, after every gate"
            }
          }
        },
        "_meta": {
          "toolbox": "google"
        }
      },
      {
        "name": "echo",
        "description": "Quantum Echoes: run the operations forward, perturb once, run them back, and return the probability that every qubit returns to 0.",
        "inputSchema": {
          "type": "object",
          "required": [
            "forward"
          ],
          "properties": {
            "forward": {
              "type": "array",
              "items": {
                "type": "object",
                "required": [
                  "gate",
                  "qubits"
                ],
                "properties": {
                  "gate": {
                    "enum": [
                      "X",
                      "Y",
                      "Z",
                      "H",
                      "CZ",
                      "CNOT",
                      "SWAP",
                      "TOFFOLI"
                    ]
                  },
                  "qubits": {
                    "type": "array",
                    "items": {
                      "oneOf": [
                        {
                          "type": "object",
                          "required": [
                            "kind",
                            "row",
                            "col"
                          ],
                          "properties": {
                            "kind": {
                              "const": "grid"
                            },
                            "row": {
                              "type": "integer"
                            },
                            "col": {
                              "type": "integer"
                            }
                          }
                        },
                        {
                          "type": "object",
                          "required": [
                            "kind",
                            "x"
                          ],
                          "properties": {
                            "kind": {
                              "const": "line"
                            },
                            "x": {
                              "type": "integer"
                            }
                          }
                        },
                        {
                          "type": "object",
                          "required": [
                            "kind",
                            "name"
                          ],
                          "properties": {
                            "kind": {
                              "const": "named"
                            },
                            "name": {
                              "type": "string"
                            }
                          }
                        }
                      ]
                    }
                  },
                  "exponent": {
                    "type": "number",
                    "description": "the power of the gate, as Cirq writes it: 0.5 for X**0.5, the square root of NOT"
                  }
                }
              }
            },
            "perturbation": {
              "type": "object",
              "required": [
                "gate",
                "qubits"
              ],
              "properties": {
                "gate": {
                  "enum": [
                    "X",
                    "Y",
                    "Z",
                    "H",
                    "CZ",
                    "CNOT",
                    "SWAP",
                    "TOFFOLI"
                  ]
                },
                "qubits": {
                  "type": "array",
                  "items": {
                    "oneOf": [
                      {
                        "type": "object",
                        "required": [
                          "kind",
                          "row",
                          "col"
                        ],
                        "properties": {
                          "kind": {
                            "const": "grid"
                          },
                          "row": {
                            "type": "integer"
                          },
                          "col": {
                            "type": "integer"
                          }
                        }
                      },
                      {
                        "type": "object",
                        "required": [
                          "kind",
                          "x"
                        ],
                        "properties": {
                          "kind": {
                            "const": "line"
                          },
                          "x": {
                            "type": "integer"
                          }
                        }
                      },
                      {
                        "type": "object",
                        "required": [
                          "kind",
                          "name"
                        ],
                        "properties": {
                          "kind": {
                            "const": "named"
                          },
                          "name": {
                            "type": "string"
                          }
                        }
                      }
                    ]
                  }
                },
                "exponent": {
                  "type": "number",
                  "description": "the power of the gate, as Cirq writes it: 0.5 for X**0.5, the square root of NOT"
                }
              }
            }
          }
        },
        "_meta": {
          "toolbox": "google"
        }
      },
      {
        "name": "echo_benchmark",
        "description": "The Quantum Echoes result as Google states it: the processor, its qubits, the speedup, and the molecules.",
        "inputSchema": {
          "type": "object",
          "properties": {}
        },
        "_meta": {
          "toolbox": "google"
        }
      },
      {
        "name": "roadmap",
        "description": "The Google Quantum AI roadmap: its six milestones, their physical-qubit scale, and which are achieved or in progress. With a milestone number, only that milestone.",
        "inputSchema": {
          "type": "object",
          "properties": {
            "milestone": {
              "type": "integer",
              "minimum": 1,
              "maximum": 6
            }
          }
        },
        "_meta": {
          "toolbox": "google"
        }
      },
      {
        "name": "algorithm",
        "description": "The textbook algorithms of the Cirq page: qft and inverse_qft (on 1 to 6 qubits, from input x), phase_estimation (of θ with 1 to 8 bits), grover (two qubits, marked |00>), teleportation (the message state, sent and received), qaoa (depth 1 on the first 2 to 12 sorted qubits of the Sycamore device, the page's instance, with the expected cut), and shor (order finding for N from 3 to 21, the state-vector bound). Each returns its summary and a table.",
        "inputSchema": {
          "type": "object",
          "required": [
            "name"
          ],
          "properties": {
            "name": {
              "enum": [
                "qft",
                "inverse_qft",
                "phase_estimation",
                "grover",
                "teleportation",
                "qaoa",
                "shor"
              ]
            },
            "N": {
              "type": "integer",
              "minimum": 3,
              "maximum": 21,
              "default": 15
            },
            "a": {
              "type": "integer",
              "minimum": 2,
              "default": 7
            },
            "sweep": {
              "type": "boolean",
              "default": false,
              "description": "qaoa: sweep alpha and beta on the grid of the page and return the best"
            },
            "qubits": {
              "type": "integer",
              "minimum": 1,
              "maximum": 6,
              "default": 3
            },
            "input": {
              "type": "integer",
              "minimum": 0,
              "default": 0
            },
            "theta": {
              "type": "number",
              "default": 0.234
            },
            "bits": {
              "type": "integer",
              "minimum": 1,
              "maximum": 8,
              "default": 3
            },
            "repetitions": {
              "type": "integer",
              "minimum": 1,
              "maximum": 10000,
              "default": 2000
            },
            "nodes": {
              "type": "integer",
              "minimum": 2,
              "maximum": 12,
              "default": 12
            },
            "weights": {
              "type": "array",
              "items": {
                "type": "number"
              },
              "description": "one weight per edge of the QAOA graph; all 1 by default"
            },
            "alpha": {
              "type": "number",
              "default": 0
            },
            "beta": {
              "type": "number",
              "default": 0
            }
          }
        },
        "_meta": {
          "toolbox": "google"
        }
      },
      {
        "name": "software",
        "description": "The open-source tools of the Google Quantum AI Software page, as the page describes them. Only Cirq is implemented in this repository.",
        "inputSchema": {
          "type": "object",
          "properties": {}
        },
        "_meta": {
          "toolbox": "google"
        }
      },
      {
        "name": "statements",
        "description": "The statements quantumai.google, its PDFs and the quantumlib repositories make, each as the page states it: Cirq, the definition of quantum computing, progress, responsibility, the vision, the hardware and the full stack, the Willow Early Access Program, neutral atoms, the Sycamore gates, the Weber datasheet, the Quantum Echoes preprint, the campus, qsim, Qualtran, OpenFermion, the Cirq guide pages followed, the Resources, Research, journey, lab and Qubit Game pages, the QEC milestone, the APS summit pages and the sitemap. With a topic, only that one.",
        "inputSchema": {
          "type": "object",
          "properties": {
            "topic": {
              "enum": [
                "cirq",
                "definition",
                "progress",
                "responsibility",
                "vision",
                "hardware",
                "early_access",
                "neutral_atoms",
                "sycamore_gates",
                "echoes_preprint",
                "campus",
                "campus_announcement",
                "qsim",
                "qualtran",
                "openfermion",
                "cirq_known_devices",
                "pauli_observables",
                "noise_representation",
                "histograms",
                "transformers",
                "custom_transformers",
                "kpz_experiment",
                "echoes_tutorial",
                "qcqmc",
                "hfvqe",
                "hardware_changes",
                "google_concepts",
                "qsim_hardware",
                "openfermion_projects",
                "cirq_basics",
                "qsimcirq",
                "basis_change",
                "sitemap",
                "resources",
                "qubit_game",
                "lab_tour",
                "learn_map",
                "research",
                "qec_milestone",
                "weber_datasheet",
                "full_stack",
                "aps_summit"
              ]
            }
          }
        },
        "_meta": {
          "toolbox": "google"
        }
      },
      {
        "name": "repositories",
        "description": "The repositories of the quantumlib GitHub organization, as its list states them: name, description and primary language.",
        "inputSchema": {
          "type": "object",
          "properties": {
            "language": {
              "type": "string",
              "description": "only repositories whose primary language is this"
            }
          }
        },
        "_meta": {
          "toolbox": "google"
        }
      },
      {
        "name": "quantumlib",
        "description": "The fifteen repositories of the quantumlib GitHub organization, each with what this repository implements of it: the exports of cirq.ts that stand for Cirq's classes, and the parts of qsim, OpenFermion, Qualtran, Stim and ReCirq the other tools emulate, named from the code that runs here. A cross-reference computed at call time, not a catalogue.",
        "inputSchema": {
          "type": "object",
          "properties": {
            "repository": {
              "type": "string",
              "description": "only the repository with this name"
            }
          }
        },
        "_meta": {
          "toolbox": "google"
        }
      },
      {
        "name": "quantum-error-correction",
        "description": "The three-qubit repetition code, simulated on the density matrix: a logical qubit encoded, a channel (bit_flip, phase_flip or depolarize) of probability p acting once on each data qubit, syndromes extracted and corrected by majority, and the logical error read from the simulated state against the raw error of an unencoded qubit, at the p given and over a sweep. The break-even p is bisected from the simulation; the textbook 3p² − 2p³ is reported beside it where it applies. The encoding, syndrome and correction gates are noiseless (the code-capacity model). The quantumlib QEC packages are listed as cited data.",
        "inputSchema": {
          "type": "object",
          "properties": {
            "code": {
              "enum": [
                "bit_flip",
                "phase_flip"
              ],
              "default": "bit_flip"
            },
            "channel": {
              "enum": [
                "bit_flip",
                "phase_flip",
                "depolarize"
              ],
              "default": "bit_flip"
            },
            "p": {
              "type": "number",
              "minimum": 0,
              "maximum": 1,
              "default": 0.1
            },
            "logical": {
              "enum": [
                "0",
                "1",
                "+",
                "-"
              ],
              "default": "0",
              "description": "the logical state encoded; |+⟩ and |−⟩ are eigenstates of the logical X a matched code can miss, so they show no error from it"
            },
            "sweep": {
              "type": "array",
              "items": {
                "type": "number",
                "minimum": 0,
                "maximum": 1
              },
              "description": "the probabilities to sweep; by default 0.01, 0.02, 0.05, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6"
            }
          }
        },
        "_meta": {
          "toolbox": "google"
        }
      },
      {
        "name": "chemistry-simulation",
        "description": "Molecular hydrogen in STO-3G as a variational energy evaluation on the simulator: the integrals are computed here from the published basis constants and checked against the energies the OpenFermion tutorial prints at 0.7 and 0.8 Å; the two-electron Hamiltonian is a two-qubit Pauli-term operator; the ansatz exp(−iθ Y⊗X) on the Hartree-Fock state is swept over θ, every energy an expectation value of the simulated state, and the minimum found is returned with the full-CI energy the same integrals give. A bond length in ångström, or one θ to evaluate.",
        "inputSchema": {
          "type": "object",
          "properties": {
            "bond_length": {
              "type": "number",
              "exclusiveMinimum": 0,
              "default": 0.7414,
              "description": "the H–H distance in ångström; 0.7414 is the tutorial's"
            },
            "theta": {
              "type": "number",
              "description": "evaluate the energy at this θ only, instead of sweeping"
            },
            "steps": {
              "type": "integer",
              "minimum": 4,
              "default": 180,
              "description": "grid points of the sweep over [−π/2, π/2)"
            }
          }
        },
        "_meta": {
          "toolbox": "google"
        }
      },
      {
        "name": "fault-tolerant-design",
        "description": "Resource counts read from the circuits this repository builds: the QFT on n qubits, Grover, teleportation, Shor for N up to 21, the QAOA instance and the repetition-code cycle. For each: gates by name, two-qubit gates, depth in moments, and the T-count of the gates whose Clifford+T cost is stated (Toffoli 7, T 1, controlled-S 3; Cliffordness computed from each unitary). Rotations and undecomposed gates are listed and left uncounted, and the count says whether it is complete. Qualtran is the cited library for the general case.",
        "inputSchema": {
          "type": "object",
          "properties": {
            "circuit": {
              "enum": [
                "qft",
                "grover",
                "teleportation",
                "shor",
                "qaoa",
                "qec",
                "all"
              ],
              "default": "all"
            },
            "qubits": {
              "type": "integer",
              "minimum": 1,
              "maximum": 6,
              "default": 3,
              "description": "qft: the register size"
            },
            "N": {
              "type": "integer",
              "minimum": 3,
              "maximum": 21,
              "default": 15,
              "description": "shor: the modulus"
            },
            "a": {
              "type": "integer",
              "minimum": 2,
              "default": 7,
              "description": "shor: the base"
            },
            "nodes": {
              "type": "integer",
              "minimum": 2,
              "maximum": 12,
              "default": 12,
              "description": "qaoa: the nodes of the page's instance"
            }
          }
        },
        "_meta": {
          "toolbox": "google"
        }
      },
      {
        "name": "leads",
        "description": "Every lead on quantumai.google (every page of its sitemap, read whole), its PDFs and the quantumlib repositories, with its status (served, partial, blocked, out of scope, or open: in the sitemap and not yet followed), the tool that serves it, and the reason where it is not served. The whole list is returned; nothing is truncated.",
        "inputSchema": {
          "type": "object",
          "properties": {
            "status": {
              "enum": [
                "served",
                "partial",
                "blocked",
                "out_of_scope",
                "open"
              ]
            }
          }
        },
        "_meta": {
          "toolbox": "tree"
        }
      },
      {
        "name": "audit",
        "description": "The surface audits itself through tools/call: every tool has a schema and an example, every documented example replays as documented, every served lead names a served tool, and the error paths answer as JSON-RPC requires. Each check carries its evidence; a failed check is a lead, not a ruling.",
        "inputSchema": {
          "type": "object",
          "properties": {}
        },
        "_meta": {
          "toolbox": "tree"
        }
      },
      {
        "name": "match",
        "description": "Any statement, matched against everything the surface can do. served: a call answers it and is returned. impossible: the surface proves it cannot, from a schema bound the statement exceeds, a lead whose reason says why, or the handler's own refusal; the cluster then names the served possibilities around it and verify names the live sources the client's MCP can check. unknown: nothing matches, and the statement comes back as a new lead to develop.",
        "inputSchema": {
          "type": "object",
          "required": [
            "statement"
          ],
          "properties": {
            "statement": {
              "type": "string",
              "description": "any prompt or statement; Glagolitic numerals are read as integers"
            },
            "locale": {
              "type": "string",
              "enum": [
                "en",
                "bg",
                "de",
                "fr",
                "es",
                "it",
                "ru",
                "zh",
                "ja",
                "pt",
                "nl"
              ],
              "description": "the language of the statement, translated to English by vocabulary offline before the match; the verdict is given back in it"
            }
          }
        },
        "_meta": {
          "toolbox": "tree"
        }
      },
      {
        "name": "clay",
        "description": "The Clay register recomputed in exact integer arithmetic: the Lean definitions of Qpu/Clay.lean and its imports ported one for one, every relation_N statement parsed and evaluated, each side's value and the bit width it needs reported. What the Lean kernel accepted by rfl, redone with + − × ÷ on naturals only, so a small machine can redo the same sums and compare addresses. Nothing here is a proof of an open problem: the relations are identities between the unit's own constants.",
        "inputSchema": {
          "type": "object",
          "properties": {
            "name": {
              "type": "string",
              "description": "one relation, e.g. relation_15; omit for all"
            },
            "technique": {
              "type": "string",
              "enum": [
                "reflection"
              ],
              "description": "the register read by the σ-reflection technique: every value's vortex seed, reflection and trinities, the reflecting pairs, the fixed and the tuned; with unit, the unit's sequence answers compared"
            },
            "unit": {
              "type": "array",
              "items": {
                "type": "object"
              },
              "description": "the unit's run_sequence answers per value ({ value, answer | refusal })"
            }
          }
        },
        "_meta": {
          "toolbox": "tree"
        }
      },
      {
        "name": "verify",
        "description": "Cheap verification of one UUID: its seal (the version nibble the other 31 nibbles decide, one modular power, no content needed), its content (one fold), and its neighbours in a chain (the predecessor it names and the successor that names it). Each check is independent; a check without its input is not decided rather than passed.",
        "inputSchema": {
          "type": "object",
          "required": [
            "uuid"
          ],
          "properties": {
            "uuid": {
              "type": "string",
              "description": "the UUID to verify"
            },
            "content": {
              "type": "string",
              "description": "the text the UUID should be the address of"
            },
            "prev": {
              "type": "object",
              "properties": {
                "id": {
                  "type": "string"
                }
              },
              "description": "the predecessor in the chain"
            },
            "self": {
              "type": "object",
              "properties": {
                "prev": {
                  "type": "string"
                }
              },
              "description": "what this entry names as its predecessor"
            },
            "next": {
              "type": "object",
              "properties": {
                "id": {
                  "type": "string"
                },
                "prev": {
                  "type": "string"
                }
              },
              "description": "the successor in the chain"
            }
          }
        },
        "_meta": {
          "toolbox": "tree"
        }
      },
      {
        "name": "metrics",
        "description": "The computable metrics of this tree in real time: tools and toolboxes, examples and how many name the kernel-accepted theorem that makes them true, the kernel's theorem counts from its own index, leads by status, the audit's checks, the balancer's memory. Quality is proven by theorems, not textbook examples; this is the measure of how far that holds.",
        "inputSchema": {
          "type": "object",
          "properties": {
            "artefacts": {
              "type": "object",
              "description": "the run's artefacts the client read: discovery, verification, readiness, repository, legal, docket, receipts; without them the tree's own counts alone"
            }
          }
        },
        "_meta": {
          "toolbox": "tree"
        }
      },
      {
        "name": "textbook",
        "description": "The QPU textbook as an adapter: every example categorised for reuse — by toolbox, by tool, by the kernel-accepted theorem that backs it, by that theorem's module — and, with reuse: <example id>, that example replayed and its result returned. The categories are computed from the registries, never written by hand.",
        "inputSchema": {
          "type": "object",
          "properties": {
            "verify": {
              "type": "boolean",
              "description": "the wave over the textbook: every example's verification requests on public datasets and APIs, for any client device to fetch"
            },
            "example": {
              "type": "string",
              "description": "with verify: one example only, so a device at the edge walks the textbook within the Worker's budget"
            },
            "results": {
              "type": "array",
              "items": {
                "type": "object"
              },
              "description": "the requests fetched (url, status, ok, contracted), joined back by url and sealed"
            },
            "reuse": {
              "type": "string",
              "description": "an example id to replay"
            },
            "category": {
              "type": "string",
              "enum": [
                "toolbox",
                "tool",
                "theorem",
                "module"
              ],
              "description": "one category to list; omit for all"
            }
          }
        },
        "_meta": {
          "toolbox": "tree"
        }
      },
      {
        "name": "css",
        "description": "The quantum UI as CSS alone: the stylesheet derived from the key 432 (the harmonics, and the rules that draw every block from its own custom properties with no script, motion only where the device allows it, off-screen blocks at no cost) and, for a uuid, the custom properties its block root carries (hue, CMYK, accent, tail colour and angle, the 9-vortex seed and period). Computed once; a device renders at the cost of CSS.",
        "inputSchema": {
          "type": "object",
          "properties": {
            "uuid": {
              "type": "string",
              "description": "a UUID whose block variables to compute"
            }
          }
        },
        "_meta": {
          "toolbox": "tree"
        }
      },
      {
        "name": "dashboard",
        "description": "A bounded tool laid out whole, so the user's decision in the UI is final: every value each property admits (an enum, a boolean, an integer range, the ends of a numeric bound, the textbook's values where a string is free), the whole space reachable by fixing one facet at a time (each cell narrows the dashboard until one combination remains, whose cell is its walk page /u/<uuid>), every cell drawn by its own UUID's CSS. Without a tool: every tool with the size of its space.",
        "inputSchema": {
          "type": "object",
          "properties": {
            "tool": {
              "type": "string",
              "description": "the tool to lay out; omit for the index of all"
            },
            "fixed": {
              "type": "object",
              "description": "the facets already decided; the dashboard shows the rest"
            },
            "origin": {
              "type": "string"
            }
          }
        },
        "_meta": {
          "toolbox": "tree"
        }
      },
      {
        "name": "clone",
        "description": "A toolbox cloned whole: its toolset (every tool's name, description and schema), its skillset (idea, instructions, directions, examples with what they show), and its selftest run now, as one document another host mounts or a client follows door by door. The quantum state of a computation is never cloned (all_noclone); its classical description is, and this is it. Without a toolbox: every toolbox's clone address.",
        "inputSchema": {
          "type": "object",
          "properties": {
            "toolbox": {
              "type": "string",
              "description": "the toolbox to clone; omit for the index"
            },
            "as": {
              "type": "string",
              "description": "the name the clone carries at its new host"
            }
          }
        },
        "_meta": {
          "toolbox": "tree"
        }
      },
      {
        "name": "discover",
        "description": "Discovery before use. Without answers: every request the client must make for the contracts of the hosts this tree talks to (MCP tools/list and catalogue doors, the verifiers' OpenAPI, index or identify documents, /.well-known/qpu.json). With answers: the follow-ups still to fetch (catalogue doors whose contract is unread) and, once none remain, the discovery: hosts, doors with what they take and answer, capabilities by which clients choose doors, and the leads (hosts with no machine contract). Pure; the client fetches.",
        "inputSchema": {
          "type": "object",
          "properties": {
            "lead": {
              "type": "string",
              "description": "a lead id: its words are asked of the public MCP registry first; with answers, the related servers and their extend requests"
            },
            "statement": {
              "type": "string",
              "description": "with lead: the statement of a lead not in the registry"
            },
            "mcpHosts": {
              "type": "array",
              "items": {
                "type": "string"
              },
              "description": "MCP endpoints to ask; default the unit, this tree's own and Cloudflare's eight servers; a tenant names its own"
            },
            "auth": {
              "type": "object",
              "description": "host → bearer token, the tenant's own: forwarded as the authorization header of the requests emitted, never kept"
            },
            "answers": {
              "type": "array",
              "items": {
                "type": "object"
              },
              "description": "the requests answered: each request as emitted plus status, type and text"
            },
            "selftest": {
              "type": "boolean",
              "description": "run the flow toolbox's cross-test instead: every direction, every toolbox feeding the next"
            }
          }
        },
        "_meta": {
          "toolbox": "flow"
        }
      },
      {
        "name": "wave",
        "description": "The verification wave. Without results: every request the surface's leads and tree facts need, once per URL with the leads it serves. With results (each request plus status, ok, ms and the body text): what came back read into one-line notes, a check of each request against the OpenAPI contract its host published (from discovery), and a summary by verifier. Pure; the client fetches.",
        "inputSchema": {
          "type": "object",
          "properties": {
            "results": {
              "type": "array",
              "items": {
                "type": "object"
              }
            },
            "contracts": {
              "type": "object",
              "description": "host → OpenAPI path templates, from the discovery"
            },
            "leads": {
              "type": "array",
              "items": {
                "type": "string"
              },
              "description": "lead ids to restrict the wave to; default all"
            },
            "selftest": {
              "type": "boolean",
              "description": "run the flow toolbox's cross-test instead: every direction, every toolbox feeding the next"
            }
          }
        },
        "_meta": {
          "toolbox": "flow"
        }
      },
      {
        "name": "readiness",
        "description": "The unit judges the tree. Phase one (verification, discovery, present, ledger): every lead judged by measurement into served, refuted or trial; the sources as the unit's readiness door takes them; the border plan — every discovered door that takes a statement and answers a verdict, with a hand-written theorem filled in; and the unit plan, the calls the client makes. Phase two (plus border answers and unit answers): the border read, and the page. Pure; the client asks the unit.",
        "inputSchema": {
          "type": "object",
          "properties": {
            "verification": {
              "type": "object",
              "description": "the wave tool's results phase"
            },
            "discovery": {
              "type": "object",
              "description": "the discover tool's discovery phase"
            },
            "present": {
              "type": "array",
              "items": {
                "type": "string"
              },
              "description": "cleanup subjects the client measured as present (paths or branches)"
            },
            "ledger": {
              "type": "array",
              "items": {
                "type": "object"
              },
              "description": "theorem rows {key, statement} from the theorem ledger"
            },
            "probeKey": {
              "type": "string",
              "description": "the hand-written theorem offered at the border; default clay_sigma"
            },
            "border": {
              "type": "array",
              "items": {
                "type": "object"
              },
              "description": "phase two: the border calls answered ({door, host, arguments, answer | refusal})"
            },
            "unit": {
              "type": "object",
              "description": "phase two: the unit's answers (readiness, auras, rights, address)"
            },
            "selftest": {
              "type": "boolean",
              "description": "run the flow toolbox's cross-test instead: every direction, every toolbox feeding the next"
            }
          }
        },
        "_meta": {
          "toolbox": "flow"
        }
      },
      {
        "name": "imagine",
        "description": "Imagination leads all leads: every lead (or the subset named) matched with the reflection on — hidden factors, angles, mirror queries, cluster, verification requests — every reflection that finds something a new open lead, every untried enum value of every schema a lead, every application family an adaptor to build. Pure.",
        "inputSchema": {
          "type": "object",
          "properties": {
            "leads": {
              "type": "array",
              "items": {
                "type": "string"
              },
              "description": "lead ids to imagine; default all"
            },
            "statements": {
              "type": "array",
              "items": {
                "type": "object"
              },
              "description": "ad-hoc statements {id, statement} to imagine instead: the rest of the leads from any text"
            },
            "selftest": {
              "type": "boolean",
              "description": "run the flow toolbox's cross-test instead: every direction, every toolbox feeding the next"
            }
          }
        },
        "_meta": {
          "toolbox": "flow"
        }
      },
      {
        "name": "e2e",
        "description": "The end-to-end gate as a repetition code. Without answers: every combination the dashboards lay out and every example of the textbook, as one tools/call request per host (default the tenants' hosts and the operator's), each carrying the hash of the tree's own answer. With answers (each request plus status, ms, text): every combination decoded by majority over the tree and the hosts — agree, corrected (a flipped host, named by the syndrome), erased (a host that did not answer), uncorrectable (no majority) — the physical and logical error rates against the textbook 3-copy code, every error a UUID block for the stream, and the leads. Pure; the client fetches.",
        "inputSchema": {
          "type": "object",
          "properties": {
            "hosts": {
              "type": "array",
              "items": {
                "type": "string"
              },
              "description": "MCP endpoints to call; default https://<tenant host>/mcp for every tenant and the operator's workers.dev"
            },
            "tools": {
              "type": "array",
              "items": {
                "type": "string"
              },
              "description": "only these tools' combinations; default every tool"
            },
            "answers": {
              "type": "array",
              "items": {
                "type": "object"
              }
            },
            "selftest": {
              "type": "boolean",
              "description": "run the flow toolbox's cross-test instead: every direction, every toolbox feeding the next"
            }
          }
        },
        "_meta": {
          "toolbox": "flow"
        }
      },
      {
        "name": "translate",
        "description": "Translation by vocabulary, offline, both ways: text, from, to. A word no table knows stays as it is and is reported, never guessed; Glagolitic numerals are read as integers. Without text: the vocabulary measured — for every locale, the surface terms with no entry (the leads of the tables).",
        "inputSchema": {
          "type": "object",
          "properties": {
            "text": {
              "type": "string"
            },
            "from": {
              "type": "string",
              "enum": [
                "en",
                "bg",
                "de",
                "fr",
                "es",
                "it",
                "ru",
                "zh",
                "ja",
                "pt",
                "nl"
              ]
            },
            "to": {
              "type": "string",
              "enum": [
                "en",
                "bg",
                "de",
                "fr",
                "es",
                "it",
                "ru",
                "zh",
                "ja",
                "pt",
                "nl"
              ]
            },
            "selftest": {
              "type": "boolean"
            }
          }
        },
        "_meta": {
          "toolbox": "language"
        }
      },
      {
        "name": "prose",
        "description": "Programmable prose: call a tool with its arguments and render its result as sentences in a locale — the toolbox's idea, the tool's scalar answers, the toolbox's instructions — every word from the vocabulary, every number from the tool, every unknown word reported.",
        "inputSchema": {
          "type": "object",
          "required": [
            "tool"
          ],
          "properties": {
            "tool": {
              "type": "string"
            },
            "arguments": {
              "type": "object"
            },
            "locale": {
              "type": "string",
              "enum": [
                "en",
                "bg",
                "de",
                "fr",
                "es",
                "it",
                "ru",
                "zh",
                "ja",
                "pt",
                "nl"
              ]
            },
            "selftest": {
              "type": "boolean"
            }
          }
        },
        "_meta": {
          "toolbox": "language"
        }
      },
      {
        "name": "mongo",
        "description": "The ported MongoDB over the docket, pure. find: {collection, docs, filter, sort, skip, limit} → the matching documents (Mongo operators, dotted paths, $and/$or/$nor). insert: {collection, docs: [new]} → the entries to write, content-addressed. update: {collection, docs, filter, update} → for each match the new document and the entry that replaces it (linked to the old). delete: {collection, docs, filter} → the ids to delete, if unlinked. The client reads the docket rows and writes what comes back.",
        "inputSchema": {
          "type": "object",
          "properties": {
            "op": {
              "type": "string",
              "enum": [
                "find",
                "insert",
                "update",
                "delete"
              ]
            },
            "collection": {
              "type": "string"
            },
            "docs": {
              "type": "array",
              "items": {
                "type": "object"
              },
              "description": "the collection's documents as read from the docket (their bodies)"
            },
            "filter": {
              "type": "object"
            },
            "update": {
              "type": "object"
            },
            "sort": {
              "type": "object"
            },
            "skip": {
              "type": "integer"
            },
            "limit": {
              "type": "integer"
            },
            "selftest": {
              "type": "boolean"
            }
          }
        },
        "_meta": {
          "toolbox": "raid"
        }
      },
      {
        "name": "stripe",
        "description": "Stripe per tenant, pure, the QPU as a product with its variants. catalogue: every product and variant (domain, tenant, seat, metered, enterprise; month, year, metered; eur, usd, bgn) as the forms Stripe takes, per tenant. usage: metered calls from docket entries as a usage record. settle: the author's compensation from Stripe's own net figures, by product and tenant, as a settlement entry. plan: a checkout session request for a commercial licence (subject, domains, mode, price or amount) that the Worker sends with the tenant's secret key. webhook: the Stripe-Signature verified with the tenant's webhook secret (HMAC-SHA256, timestamp tolerance), the event read into one idempotent licence entry (granted, renewed, revoked, disputed, failed, noted) linked to what it changes. state: the licence state of a subject at a domain from its entries, at any tenant. The handler holds no key; the Worker executes plans and the docket keeps the entries.",
        "inputSchema": {
          "type": "object",
          "properties": {
            "op": {
              "type": "string",
              "enum": [
                "plan",
                "webhook",
                "state",
                "catalogue",
                "usage",
                "settle"
              ]
            },
            "currencies": {
              "type": "array",
              "items": {
                "type": "string"
              }
            },
            "from": {
              "type": "integer"
            },
            "to": {
              "type": "integer"
            },
            "transactions": {
              "type": "array",
              "items": {
                "type": "object"
              },
              "description": "settle: Stripe balance transactions {id, amount, fee, net, currency, product?, variant?, tenant?}"
            },
            "tenant": {
              "type": "string"
            },
            "host": {
              "type": "string"
            },
            "checkout": {
              "type": "object",
              "description": "plan: { subject, domains, mode, price | amount, currency, successUrl, cancelUrl, customerEmail? }"
            },
            "payload": {
              "type": "string",
              "description": "webhook: the raw body"
            },
            "signature": {
              "type": "string",
              "description": "webhook: the Stripe-Signature header"
            },
            "secret": {
              "type": "string",
              "description": "webhook: the tenant's webhook secret (the Worker passes it; a client never has it)"
            },
            "now": {
              "type": "integer",
              "description": "webhook/state: unix seconds; default the current time"
            },
            "entries": {
              "type": "array",
              "items": {
                "type": "object"
              },
              "description": "webhook/state: the subject's licence entries as read from the docket"
            },
            "subject": {
              "type": "string"
            },
            "domain": {
              "type": "string"
            },
            "selftest": {
              "type": "boolean"
            }
          }
        },
        "_meta": {
          "toolbox": "billing"
        }
      },
      {
        "name": "legal",
        "description": "The full legal and security audit with forensic analysis, through MCP. Phase one (texts, discovery, agents?, theoremKeys?): the author's claims gathered from the tree and its metadata, this tree's own security checks over its sources, and the plan of calls to the unit's forensic, verification, legal, licence, prior-art, due-process and security doors — free agents found by discovery by default, the operator's own list when given. Phase two (plus answers): verdicts per claim, drift against this tree's licence, the findings, the page. Recomputable facts, not legal advice.",
        "inputSchema": {
          "type": "object",
          "properties": {
            "texts": {
              "type": "object",
              "description": "{ readme, citation, zenodo, package, worker, billing, hmac, mcp }: the texts of the tree"
            },
            "discovery": {
              "type": "object"
            },
            "agents": {
              "type": "array",
              "items": {
                "type": "string"
              },
              "description": "the operator's override: the doors to use; omit for the free doors discovery found"
            },
            "theoremKeys": {
              "type": "array",
              "items": {
                "type": "string"
              }
            },
            "citeTheorem": {
              "type": "string",
              "description": "the sealed guarantee of the unit's court cited beside every legal claim; default legal_only_the_proven_is_admitted, a key its due-process door names"
            },
            "answers": {
              "type": "array",
              "items": {
                "type": "object"
              }
            },
            "selftest": {
              "type": "boolean"
            }
          }
        },
        "_meta": {
          "toolbox": "legal"
        }
      },
      {
        "name": "repository",
        "description": "Workspaces, branches, tags and releases watched and verified online, pure. Phase one (local): the requests to GitHub (branches, tags, releases) and Zenodo (every version of the concept DOI), each checked against the contract discovery found. Phase two (plus answers): agreement and leads — a branch or tag only here or only there, a moved tag, a release without its tag, a version without a tag or release, a Zenodo version without a release, a second workspace. The client runs git and fetches; nothing here does.",
        "inputSchema": {
          "type": "object",
          "properties": {
            "via": {
              "type": "string",
              "enum": [
                "rest",
                "mcp"
              ],
              "description": "mcp: the three facts through GitHub's MCP doors (list_branches, list_tags, list_releases) with the tenant's token in the client's request; default rest"
            },
            "local": {
              "type": "object",
              "description": "{ remote, head, branch, version, worktrees, branches, tags, conceptDoi }"
            },
            "contracts": {
              "type": "object"
            },
            "answers": {
              "type": "array",
              "items": {
                "type": "object"
              }
            },
            "selftest": {
              "type": "boolean"
            }
          }
        },
        "_meta": {
          "toolbox": "repository"
        }
      },
      {
        "name": "jsonld",
        "description": "schema.org JSON-LD, pure: for a block (tool, id, description), a page (url, title, description, uuid?) or an offer of the catalogue (product, variant, currency). The author a Person with an ORCID, the licence a URL, dates ISO 8601, languages ISO 639-1, currencies ISO 4217. Every tools/call result already carries its block's JSON-LD in _meta.jsonLd; every documentation page carries its own in its head.",
        "inputSchema": {
          "type": "object",
          "properties": {
            "kind": {
              "type": "string",
              "enum": [
                "block",
                "page",
                "offer",
                "catalogue"
              ]
            },
            "tool": {
              "type": "string"
            },
            "id": {
              "type": "string"
            },
            "description": {
              "type": "string"
            },
            "url": {
              "type": "string"
            },
            "title": {
              "type": "string"
            },
            "uuid": {
              "type": "string"
            },
            "locale": {
              "type": "string",
              "enum": [
                "en",
                "bg",
                "de",
                "fr",
                "es",
                "it",
                "ru",
                "zh",
                "ja",
                "pt",
                "nl"
              ]
            },
            "product": {
              "type": "string"
            },
            "variant": {
              "type": "string"
            },
            "currency": {
              "type": "string"
            },
            "selftest": {
              "type": "boolean"
            }
          }
        },
        "_meta": {
          "toolbox": "standards"
        }
      },
      {
        "name": "codes",
        "description": "The tree's ISO codes validated against the CLDR lists a client fetched (languages ISO 639, currencies ISO 4217, territories ISO 3166-1): every locale of the language toolbox, every currency of the catalogue, the tenants' countries. Without the lists: what would be checked and where the lists are. A code the standard does not know is a lead, never a guess.",
        "inputSchema": {
          "type": "object",
          "properties": {
            "cldr": {
              "type": "object",
              "description": "{ languages, currencies, territories }: the CLDR JSON documents as fetched"
            },
            "territories": {
              "type": "array",
              "items": {
                "type": "string"
              }
            },
            "selftest": {
              "type": "boolean"
            }
          }
        },
        "_meta": {
          "toolbox": "standards"
        }
      },
      {
        "name": "payload",
        "description": "Any tool's result as the document Payload's default plugins hold, no custom collection: a lexical document whose one block is the programmable UUID logic (uuid, handle, program, tail, tool, arguments, prev, next), nested by the referer chain as nested-docs nests (parent, breadcrumbs), the SEO plugin's title, description and image from the block's Open Graph, the JSON-LD and the licence. Every tools/call result carries the same in _meta.payload.",
        "inputSchema": {
          "type": "object",
          "properties": {
            "theorems": {
              "type": "boolean",
              "description": "the textbook's axioms replaced by theorems through the tenant's Payload MCP plugin, as a client: the plan, then with answers { list, found } the update requests"
            },
            "payloadUrl": {
              "type": "string",
              "description": "the tenant's Payload origin; its MCP is at /api/mcp"
            },
            "answers": {
              "type": "object"
            },
            "website": {
              "description": "true: the requests for payloadcms.com's source tree and one live page; the tree as answered: its collections, blocks, globals, fields and plugins, and whether the live page's blocks have a block in the source"
            },
            "liveBlockTypes": {
              "type": "array",
              "items": {
                "type": "string"
              }
            },
            "skills": {
              "description": "true: the request for Payload's skills tree (github.com/payloadcms/skills); the tree as answered: every skill and reference mapped to the tool of this tree that enacts it"
            },
            "site": {
              "type": "boolean",
              "description": "the site as its own use cases: every toolbox a use case, every example a page document, as payloadcms.com is built of what Payload computes"
            },
            "tool": {
              "type": "string"
            },
            "arguments": {
              "type": "object"
            },
            "prev": {
              "type": "string",
              "description": "the referer block's uuid"
            },
            "chain": {
              "type": "array",
              "items": {
                "type": "string"
              },
              "description": "the referers before prev, oldest first"
            },
            "origin": {
              "type": "string"
            },
            "selftest": {
              "type": "boolean"
            }
          }
        },
        "_meta": {
          "toolbox": "payload"
        }
      },
      {
        "name": "configure",
        "description": "MCP configures Payload and the rest: Payload's default plugins (lexical with the one qpu block, nested-docs, seo, search, redirects, form-builder, multi-tenant, mcp) in all their combinations with no custom collection; the Worker's wrangler configuration from the tenants; each tenant's variable names (never values); the PWA manifest; the MCP registration. Every configuration carries its torus: address, seed, reflection and trinity, and whether the loop closes (config → text → config at the same address). With current (the text a client holds), the drift: every path that differs, each a lead. Without kind: all of them, tested.",
        "inputSchema": {
          "type": "object",
          "properties": {
            "kind": {
              "type": "string",
              "enum": [
                "payload",
                "wrangler",
                "tenant",
                "pwa",
                "mcp",
                "versions",
                "migration",
                "fullstack",
                "api"
              ],
              "description": "omit for all"
            },
            "lastTag": {
              "type": "object",
              "description": "{ version, tools }: the last tag and the tools it served, from the repository tool; with it, kind versions computes the next number"
            },
            "current": {
              "type": "string",
              "description": "the configuration text the client holds (JSON or JSONC): compared, the drift answered"
            },
            "version": {
              "type": "string"
            },
            "description": {
              "type": "string"
            },
            "env": {
              "type": "array",
              "items": {
                "type": "string"
              },
              "description": "the variable NAMES the client's environment holds: which of a tenant's are missing (values never travel)"
            },
            "selftest": {
              "type": "boolean"
            }
          }
        },
        "_meta": {
          "toolbox": "payload"
        }
      },
      {
        "name": "extend",
        "description": "QPU as the natural extension of every MCP and every MCP of QPU. Inward (host, tools): the host's tools/list read into doors that join this catalogue as host:tool, with what each takes and answers; without tools, the one request the client makes for them (a tenant's token travels in the request, never here). Outward: this catalogue as the registration any MCP client mounts. call (host, tool, arguments): the request that serves a foreign door; with answer, what it answered, read whether JSON or an event stream. Pure; the client fetches. Cloudflare's eight servers are extended by default, the documentation one in the open.",
        "inputSchema": {
          "type": "object",
          "properties": {
            "direction": {
              "type": "string",
              "enum": [
                "in",
                "out",
                "both"
              ],
              "description": "default both"
            },
            "host": {
              "type": "string",
              "description": "the MCP endpoint; default this tree's own"
            },
            "tools": {
              "description": "the host's tools/list answer: its tools array, its JSON-RPC envelope, or the raw text (JSON or event stream)"
            },
            "call": {
              "type": "object",
              "properties": {
                "tool": {
                  "type": "string"
                },
                "arguments": {
                  "type": "object"
                }
              },
              "description": "a foreign door to serve: the request is emitted"
            },
            "answer": {
              "type": "string",
              "description": "what the host answered the call: read back"
            },
            "selftest": {
              "type": "boolean"
            }
          }
        },
        "_meta": {
          "toolbox": "extension"
        }
      },
      {
        "name": "fold",
        "description": "The split folds: a payload larger than a place can hold is folded into pieces under the bound (bytes), each addressed by its content (fold address and SHA-256), the whole by its pieces (a root over their hashes); a key names the one piece it sits in (by address, or by the key range of its rows), so a door answers from that piece and never from the whole. The bound is a reflective boundary: piece i mirrors piece n−1−i, the excess is reflected into the count of pieces, decided by integer comparisons before anything is computed. With pieces (index, text, sha256?) and a root: the whole unfolded and the root checked, the wrong pieces named.",
        "inputSchema": {
          "type": "object",
          "properties": {
            "text": {
              "type": "string",
              "description": "the payload: rows as lines (ndjson, csv) fold at rows"
            },
            "bound": {
              "type": "integer",
              "minimum": 1,
              "description": "bytes a piece may hold; e.g. what an isolate, a request or a quantum holds"
            },
            "key": {
              "type": "string",
              "description": "a key to locate: the piece it sits in"
            },
            "pieces": {
              "type": "array",
              "items": {
                "type": "object"
              },
              "description": "pieces to unfold: { index, text, sha256? }"
            },
            "root": {
              "type": "string"
            },
            "withPieces": {
              "type": "boolean",
              "description": "carry the pieces' texts in the answer (default: addresses and hashes only)"
            },
            "selftest": {
              "type": "boolean"
            }
          }
        },
        "_meta": {
          "toolbox": "crypto"
        }
      },
      {
        "name": "seal",
        "description": "SHA-256 of a text, and HMAC-SHA256 under a key the caller gives (a test key; a tenant's secret never travels here), pure and the same at every host; the fold address of the text beside them, so a block, a piece and a message are named by one scheme.",
        "inputSchema": {
          "type": "object",
          "required": [
            "text"
          ],
          "properties": {
            "text": {
              "type": "string"
            },
            "key": {
              "type": "string",
              "description": "HMAC key, when a keyed seal is wanted"
            },
            "selftest": {
              "type": "boolean"
            }
          }
        },
        "_meta": {
          "toolbox": "crypto"
        }
      }
    ],
    "mcpServers": {
      "qpu": {
        "url": "https://qpu.uuidna.com/mcp",
        "transport": "http",
        "tools": 41,
        "toolboxes": [
          "google",
          "tree",
          "flow",
          "language",
          "raid",
          "billing",
          "legal",
          "repository",
          "standards",
          "payload",
          "extension",
          "crypto"
        ]
      }
    },
    "claude": {
      "endpoint": "https://api.anthropic.com/v1/messages",
      "betas": [
        "mcp-client-2025-11-20"
      ],
      "model": "claude-opus-5-5",
      "mcp_servers": [
        {
          "type": "url",
          "url": "https://qpu.uuidna.com/mcp",
          "name": "qpu"
        }
      ],
      "tools": [
        {
          "type": "mcp_toolset",
          "mcp_server_name": "qpu"
        }
      ],
      "auth": "x-api-key: the tenant's ANTHROPIC_API_KEY[_<TENANT>]; anthropic-version: 2023-06-01",
      "note": "the Messages API mounts this catalogue through its MCP connector: both halves, the server and the toolset, read at platform.claude.com on 2026-10-25"
    },
    "note": "any MCP client that mounts this url receives these tools from tools/list, each result with its block, theme, JSON-LD and Payload document in _meta; the unit and every other host are extended the same way inward"
  },
  "phase": "registration"
}

extend · extend-in-request

Without the host's tools: the one tools/list request the client makes of Cloudflare's documentation server (no token needed there), and the integration matrix: every MCP this tree knows, its token name and what the tree does with it once open (GitHub → the repository watch through its doors; Cloudflare's eight → the verifier, the mirrors, the metrics, the wave, the audit, the prose, the tenants, the textbook; the Claude API → the operator agent, and outward the Messages API registration that mounts this catalogue).

{"name":"extend","arguments":{"direction":"in","host":"https://docs.mcp.cloudflare.com/mcp"}}

✓ as expected

extend · QPU as the natural extension of every MCP and every MCP of QPU. Inward (host, tools): the host's tools/list read into doors that join this catalogue as host:tool, with what each takes and answers; without tools, the one request the client makes for them (a tenant's token travels in the request, never here). Outward: this catalogue as the registration any MCP client mounts. call (host, tool, arguments): the request that serves a foreign door; with answer, what it answered, read whether JSON or an event stream. Pure; the client fetches. Cloudflare's eight servers are extended by default, the documentation one in the open.

host

docs.mcp.cloudflare.com

direction

in

phase

requests

requests

1

note

the client fetches the host's tools/list (with the tenant's token where the host asks for one) and calls again with tools

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "host": "docs.mcp.cloudflare.com",
  "direction": "in",
  "defaults": [
    "https://uuidna.com/mcp",
    "https://qpu.uuidna.com/mcp",
    "https://docs.mcp.cloudflare.com/mcp",
    "https://bindings.mcp.cloudflare.com/mcp",
    "https://observability.mcp.cloudflare.com/mcp",
    "https://radar.mcp.cloudflare.com/mcp",
    "https://browser.mcp.cloudflare.com/mcp",
    "https://ai-gateway.mcp.cloudflare.com/mcp",
    "https://dns-analytics.mcp.cloudflare.com/mcp",
    "https://autorag.mcp.cloudflare.com/mcp",
    "https://api.githubcopilot.com/mcp/"
  ],
  "cloudflare": [
    {
      "host": "docs.mcp.cloudflare.com",
      "url": "https://docs.mcp.cloudflare.com/mcp",
      "about": "the Cloudflare documentation, searchable"
    },
    {
      "host": "bindings.mcp.cloudflare.com",
      "url": "https://bindings.mcp.cloudflare.com/mcp",
      "about": "Workers bindings: KV, R2, D1, Durable Objects of the account"
    },
    {
      "host": "observability.mcp.cloudflare.com",
      "url": "https://observability.mcp.cloudflare.com/mcp",
      "about": "Workers logs and analytics of the account"
    },
    {
      "host": "radar.mcp.cloudflare.com",
      "url": "https://radar.mcp.cloudflare.com/mcp",
      "about": "Cloudflare Radar: internet traffic and trends"
    },
    {
      "host": "browser.mcp.cloudflare.com",
      "url": "https://browser.mcp.cloudflare.com/mcp",
      "about": "browser rendering: fetch and screenshot pages"
    },
    {
      "host": "ai-gateway.mcp.cloudflare.com",
      "url": "https://ai-gateway.mcp.cloudflare.com/mcp",
      "about": "AI Gateway logs and prompts"
    },
    {
      "host": "dns-analytics.mcp.cloudflare.com",
      "url": "https://dns-analytics.mcp.cloudflare.com/mcp",
      "about": "DNS analytics of the account's zones"
    },
    {
      "host": "autorag.mcp.cloudflare.com",
      "url": "https://autorag.mcp.cloudflare.com/mcp",
      "about": "AutoRAG: the account's indexed documents"
    }
  ],
  "integrations": [
    {
      "host": "docs.mcp.cloudflare.com",
      "url": "https://docs.mcp.cloudflare.com/mcp",
      "auth": "none",
      "token": null,
      "about": "the Cloudflare documentation, searchable",
      "maps": "the verifier cloudflare-docs: a fact on developers.cloudflare.com is searched there (search_cloudflare_documentation)"
    },
    {
      "host": "bindings.mcp.cloudflare.com",
      "url": "https://bindings.mcp.cloudflare.com/mcp",
      "auth": "token",
      "token": "QPU_MCP_TOKEN_BINDINGS_MCP_CLOUDFLARE_COM[_<TENANT>]",
      "about": "Workers bindings: KV, R2, D1, Durable Objects of the account",
      "maps": "the docket's mirrors: KV, R2, D1 and Durable Objects of the tenant read as mirrors to heal by address"
    },
    {
      "host": "observability.mcp.cloudflare.com",
      "url": "https://observability.mcp.cloudflare.com/mcp",
      "auth": "token",
      "token": "QPU_MCP_TOKEN_OBSERVABILITY_MCP_CLOUDFLARE_COM[_<TENANT>]",
      "about": "Workers logs and analytics of the account",
      "maps": "the metrics tool: the Worker's logs and analytics beside the balancer's own counts"
    },
    {
      "host": "radar.mcp.cloudflare.com",
      "url": "https://radar.mcp.cloudflare.com/mcp",
      "auth": "token",
      "token": "QPU_MCP_TOKEN_RADAR_MCP_CLOUDFLARE_COM[_<TENANT>]",
      "about": "Cloudflare Radar: internet traffic and trends",
      "maps": "the legal audit: internet-wide facts as public datasets"
    },
    {
      "host": "browser.mcp.cloudflare.com",
      "url": "https://browser.mcp.cloudflare.com/mcp",
      "auth": "token",
      "token": "QPU_MCP_TOKEN_BROWSER_MCP_CLOUDFLARE_COM[_<TENANT>]",
      "about": "browser rendering: fetch and screenshot pages",
      "maps": "the verification wave: a page rendered at the edge when a verifier needs the page as a browser sees it"
    },
    {
      "host": "ai-gateway.mcp.cloudflare.com",
      "url": "https://ai-gateway.mcp.cloudflare.com/mcp",
      "auth": "token",
      "token": "QPU_MCP_TOKEN_AI_GATEWAY_MCP_CLOUDFLARE_COM[_<TENANT>]",
      "about": "AI Gateway logs and prompts",
      "maps": "the prose tool: generation logged through the tenant's gateway, never a token of this tree"
    },
    {
      "host": "dns-analytics.mcp.cloudflare.com",
      "url": "https://dns-analytics.mcp.cloudflare.com/mcp",
      "auth": "token",
      "token": "QPU_MCP_TOKEN_DNS_ANALYTICS_MCP_CLOUDFLARE_COM[_<TENANT>]",
      "about": "DNS analytics of the account's zones",
      "maps": "the tenants: the custom domains' DNS read per tenant"
    },
    {
      "host": "autorag.mcp.cloudflare.com",
      "url": "https://autorag.mcp.cloudflare.com/mcp",
      "auth": "token",
      "token": "QPU_MCP_TOKEN_AUTORAG_MCP_CLOUDFLARE_COM[_<TENANT>]",
      "about": "AutoRAG: the account's indexed documents",
      "maps": "the textbook: the tenant's indexed documents as a textbook to categorise"
    },
    {
      "host": "api.anthropic.com",
      "url": "https://api.anthropic.com/v1/messages",
      "auth": "token",
      "token": "QPU_MCP_TOKEN_API_ANTHROPIC_COM[_<TENANT>]",
      "about": "the Claude API: messages, the MCP connector that mounts this catalogue into a request, the Models door",
      "maps": "the operator agent of the legal audit and the prose tool when the tenant's key opens it (never by default: free doors first); outward, extend answers the Messages API registration that mounts this catalogue (mcp_servers + mcp_toolset, beta mcp-client-2025-11-20)"
    },
    {
      "host": "api.githubcopilot.com",
      "url": "https://api.githubcopilot.com/mcp/",
      "auth": "token",
      "token": "QPU_MCP_TOKEN_API_GITHUBCOPILOT_COM[_<TENANT>]",
      "about": "GitHub: repositories, branches, tags, releases, issues, pull requests, actions of the tenant's account",
      "maps": "the repository toolbox: branches, tags and releases watched through the doors list_branches, list_tags and list_releases instead of the REST contract; the next-leads docket as issues when the tenant asks"
    }
  ],
  "phase": "requests",
  "requests": 1,
  "requestList": [
    {
      "id": "extend:docs.mcp.cloudflare.com",
      "method": "POST",
      "url": "https://docs.mcp.cloudflare.com/mcp",
      "accept": "application/json, text/event-stream",
      "body": {
        "jsonrpc": "2.0",
        "id": 1,
        "method": "tools/list"
      }
    }
  ],
  "note": "the client fetches the host's tools/list (with the tenant's token where the host asks for one) and calls again with tools"
}

extend · extend-in-docs

Cloudflare's documentation server read into this catalogue: one door, docs.mcp.cloudflare.com:search_cloudflare_documentation, taking a query.

{"name":"extend","arguments":{"direction":"in","host":"https://docs.mcp.cloudflare.com/mcp","tools":[{"name":"search_cloudflare_documentation","description":"Search the Cloudflare documentation.","inputSchema":{"type":"object","properties":{"query":{"type":"string","description":"the search query"}},"required":["query"]}}]}}

✓ as expected

extend · QPU as the natural extension of every MCP and every MCP of QPU. Inward (host, tools): the host's tools/list read into doors that join this catalogue as host:tool, with what each takes and answers; without tools, the one request the client makes for them (a tenant's token travels in the request, never here). Outward: this catalogue as the registration any MCP client mounts. call (host, tool, arguments): the request that serves a foreign door; with answer, what it answered, read whether JSON or an event stream. Pure; the client fetches. Cloudflare's eight servers are extended by default, the documentation one in the open.

host

docs.mcp.cloudflare.com

direction

in

phase

extended

inward

1

catalogue

42

mineCount

41

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "host": "docs.mcp.cloudflare.com",
  "direction": "in",
  "defaults": [
    "https://uuidna.com/mcp",
    "https://qpu.uuidna.com/mcp",
    "https://docs.mcp.cloudflare.com/mcp",
    "https://bindings.mcp.cloudflare.com/mcp",
    "https://observability.mcp.cloudflare.com/mcp",
    "https://radar.mcp.cloudflare.com/mcp",
    "https://browser.mcp.cloudflare.com/mcp",
    "https://ai-gateway.mcp.cloudflare.com/mcp",
    "https://dns-analytics.mcp.cloudflare.com/mcp",
    "https://autorag.mcp.cloudflare.com/mcp",
    "https://api.githubcopilot.com/mcp/"
  ],
  "cloudflare": [
    {
      "host": "docs.mcp.cloudflare.com",
      "url": "https://docs.mcp.cloudflare.com/mcp",
      "about": "the Cloudflare documentation, searchable"
    },
    {
      "host": "bindings.mcp.cloudflare.com",
      "url": "https://bindings.mcp.cloudflare.com/mcp",
      "about": "Workers bindings: KV, R2, D1, Durable Objects of the account"
    },
    {
      "host": "observability.mcp.cloudflare.com",
      "url": "https://observability.mcp.cloudflare.com/mcp",
      "about": "Workers logs and analytics of the account"
    },
    {
      "host": "radar.mcp.cloudflare.com",
      "url": "https://radar.mcp.cloudflare.com/mcp",
      "about": "Cloudflare Radar: internet traffic and trends"
    },
    {
      "host": "browser.mcp.cloudflare.com",
      "url": "https://browser.mcp.cloudflare.com/mcp",
      "about": "browser rendering: fetch and screenshot pages"
    },
    {
      "host": "ai-gateway.mcp.cloudflare.com",
      "url": "https://ai-gateway.mcp.cloudflare.com/mcp",
      "about": "AI Gateway logs and prompts"
    },
    {
      "host": "dns-analytics.mcp.cloudflare.com",
      "url": "https://dns-analytics.mcp.cloudflare.com/mcp",
      "about": "DNS analytics of the account's zones"
    },
    {
      "host": "autorag.mcp.cloudflare.com",
      "url": "https://autorag.mcp.cloudflare.com/mcp",
      "about": "AutoRAG: the account's indexed documents"
    }
  ],
  "integrations": [
    {
      "host": "docs.mcp.cloudflare.com",
      "url": "https://docs.mcp.cloudflare.com/mcp",
      "auth": "none",
      "token": null,
      "about": "the Cloudflare documentation, searchable",
      "maps": "the verifier cloudflare-docs: a fact on developers.cloudflare.com is searched there (search_cloudflare_documentation)"
    },
    {
      "host": "bindings.mcp.cloudflare.com",
      "url": "https://bindings.mcp.cloudflare.com/mcp",
      "auth": "token",
      "token": "QPU_MCP_TOKEN_BINDINGS_MCP_CLOUDFLARE_COM[_<TENANT>]",
      "about": "Workers bindings: KV, R2, D1, Durable Objects of the account",
      "maps": "the docket's mirrors: KV, R2, D1 and Durable Objects of the tenant read as mirrors to heal by address"
    },
    {
      "host": "observability.mcp.cloudflare.com",
      "url": "https://observability.mcp.cloudflare.com/mcp",
      "auth": "token",
      "token": "QPU_MCP_TOKEN_OBSERVABILITY_MCP_CLOUDFLARE_COM[_<TENANT>]",
      "about": "Workers logs and analytics of the account",
      "maps": "the metrics tool: the Worker's logs and analytics beside the balancer's own counts"
    },
    {
      "host": "radar.mcp.cloudflare.com",
      "url": "https://radar.mcp.cloudflare.com/mcp",
      "auth": "token",
      "token": "QPU_MCP_TOKEN_RADAR_MCP_CLOUDFLARE_COM[_<TENANT>]",
      "about": "Cloudflare Radar: internet traffic and trends",
      "maps": "the legal audit: internet-wide facts as public datasets"
    },
    {
      "host": "browser.mcp.cloudflare.com",
      "url": "https://browser.mcp.cloudflare.com/mcp",
      "auth": "token",
      "token": "QPU_MCP_TOKEN_BROWSER_MCP_CLOUDFLARE_COM[_<TENANT>]",
      "about": "browser rendering: fetch and screenshot pages",
      "maps": "the verification wave: a page rendered at the edge when a verifier needs the page as a browser sees it"
    },
    {
      "host": "ai-gateway.mcp.cloudflare.com",
      "url": "https://ai-gateway.mcp.cloudflare.com/mcp",
      "auth": "token",
      "token": "QPU_MCP_TOKEN_AI_GATEWAY_MCP_CLOUDFLARE_COM[_<TENANT>]",
      "about": "AI Gateway logs and prompts",
      "maps": "the prose tool: generation logged through the tenant's gateway, never a token of this tree"
    },
    {
      "host": "dns-analytics.mcp.cloudflare.com",
      "url": "https://dns-analytics.mcp.cloudflare.com/mcp",
      "auth": "token",
      "token": "QPU_MCP_TOKEN_DNS_ANALYTICS_MCP_CLOUDFLARE_COM[_<TENANT>]",
      "about": "DNS analytics of the account's zones",
      "maps": "the tenants: the custom domains' DNS read per tenant"
    },
    {
      "host": "autorag.mcp.cloudflare.com",
      "url": "https://autorag.mcp.cloudflare.com/mcp",
      "auth": "token",
      "token": "QPU_MCP_TOKEN_AUTORAG_MCP_CLOUDFLARE_COM[_<TENANT>]",
      "about": "AutoRAG: the account's indexed documents",
      "maps": "the textbook: the tenant's indexed documents as a textbook to categorise"
    },
    {
      "host": "api.anthropic.com",
      "url": "https://api.anthropic.com/v1/messages",
      "auth": "token",
      "token": "QPU_MCP_TOKEN_API_ANTHROPIC_COM[_<TENANT>]",
      "about": "the Claude API: messages, the MCP connector that mounts this catalogue into a request, the Models door",
      "maps": "the operator agent of the legal audit and the prose tool when the tenant's key opens it (never by default: free doors first); outward, extend answers the Messages API registration that mounts this catalogue (mcp_servers + mcp_toolset, beta mcp-client-2025-11-20)"
    },
    {
      "host": "api.githubcopilot.com",
      "url": "https://api.githubcopilot.com/mcp/",
      "auth": "token",
      "token": "QPU_MCP_TOKEN_API_GITHUBCOPILOT_COM[_<TENANT>]",
      "about": "GitHub: repositories, branches, tags, releases, issues, pull requests, actions of the tenant's account",
      "maps": "the repository toolbox: branches, tags and releases watched through the doors list_branches, list_tags and list_releases instead of the REST contract; the next-leads docket as issues when the tenant asks"
    }
  ],
  "phase": "extended",
  "inward": 1,
  "doors": [
    {
      "name": "search_cloudflare_documentation",
      "description": "Search the Cloudflare documentation.",
      "takes": [
        "query"
      ],
      "required": [
        "query"
      ],
      "answers": [],
      "readOnly": null,
      "contract": "tools/list",
      "host": "docs.mcp.cloudflare.com",
      "url": "https://docs.mcp.cloudflare.com/mcp",
      "as": "docs.mcp.cloudflare.com:search_cloudflare_documentation"
    }
  ],
  "catalogue": 42,
  "mineCount": 41,
  "foreignByAnswer": {}
}

extend · extend-call-served

A foreign door served and its event-stream answer read back into the text the host returned.

{"name":"extend","arguments":{"host":"https://docs.mcp.cloudflare.com/mcp","call":{"tool":"search_cloudflare_documentation","arguments":{"query":"workers assets"}},"answer":"event: message\ndata: {\"jsonrpc\":\"2.0\",\"id\":1,\"result\":{\"content\":[{\"type\":\"text\",\"text\":\"<result><url>https://developers.cloudflare.com/workers/</url></result>\"}]}}\n\n"}}

✓ as expected

extend · QPU as the natural extension of every MCP and every MCP of QPU. Inward (host, tools): the host's tools/list read into doors that join this catalogue as host:tool, with what each takes and answers; without tools, the one request the client makes for them (a tenant's token travels in the request, never here). Outward: this catalogue as the registration any MCP client mounts. call (host, tool, arguments): the request that serves a foreign door; with answer, what it answered, read whether JSON or an event stream. Pure; the client fetches. Cloudflare's eight servers are extended by default, the documentation one in the open.

phase

served

host

docs.mcp.cloudflare.com

door

docs.mcp.cloudflare.com:search_cloudflare_documentation

ok

true

result

<result><url>https://developers.cloudflare.com/workers/</url></result>

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "phase": "served",
  "host": "docs.mcp.cloudflare.com",
  "door": "docs.mcp.cloudflare.com:search_cloudflare_documentation",
  "request": {
    "method": "POST",
    "url": "https://docs.mcp.cloudflare.com/mcp",
    "accept": "application/json, text/event-stream",
    "body": {
      "jsonrpc": "2.0",
      "id": 1,
      "method": "tools/call",
      "params": {
        "name": "search_cloudflare_documentation",
        "arguments": {
          "query": "workers assets"
        }
      }
    }
  },
  "ok": true,
  "result": "<result><url>https://developers.cloudflare.com/workers/</url></result>"
}

fold · fold-ledger

A forty-row ledger folded under a bound of 600 bytes: the pieces, each with its address, SHA-256 and key range, the root over them, the mirror piece of each across the fold, and the one piece the key k27 sits in — decided by comparisons, the whole never read for it.

{"name":"fold","arguments":{"text":"{\"key\":\"k00\",\"value\":0,\"note\":\"a row of the ledger\"}\n{\"key\":\"k01\",\"value\":1,\"note\":\"a row of the ledger\"}\n{\"key\":\"k02\",\"value\":4,\"note\":\"a row of the ledger\"}\n{\"key\":\"k03\",\"value\":9,\"note\":\"a row of the ledger\"}\n{\"key\":\"k04\",\"value\":16,\"note\":\"a row of the ledger\"}\n{\"key\":\"k05\",\"value\":25,\"note\":\"a row of the ledger\"}\n{\"key\":\"k06\",\"value\":36,\"note\":\"a row of the ledger\"}\n{\"key\":\"k07\",\"value\":49,\"note\":\"a row of the ledger\"}\n{\"key\":\"k08\",\"value\":64,\"note\":\"a row of the ledger\"}\n{\"key\":\"k09\",\"value\":81,\"note\":\"a row of the ledger\"}\n{\"key\":\"k10\",\"value\":100,\"note\":\"a row of the ledger\"}\n{\"key\":\"k11\",\"value\":121,\"note\":\"a row of the ledger\"}\n{\"key\":\"k12\",\"value\":144,\"note\":\"a row of the ledger\"}\n{\"key\":\"k13\",\"value\":169,\"note\":\"a row of the ledger\"}\n{\"key\":\"k14\",\"value\":196,\"note\":\"a row of the ledger\"}\n{\"key\":\"k15\",\"value\":225,\"note\":\"a row of the ledger\"}\n{\"key\":\"k16\",\"value\":256,\"note\":\"a row of the ledger\"}\n{\"key\":\"k17\",\"value\":289,\"note\":\"a row of the ledger\"}\n{\"key\":\"k18\",\"value\":324,\"note\":\"a row of the ledger\"}\n{\"key\":\"k19\",\"value\":361,\"note\":\"a row of the ledger\"}\n{\"key\":\"k20\",\"value\":400,\"note\":\"a row of the ledger\"}\n{\"key\":\"k21\",\"value\":441,\"note\":\"a row of the ledger\"}\n{\"key\":\"k22\",\"value\":484,\"note\":\"a row of the ledger\"}\n{\"key\":\"k23\",\"value\":529,\"note\":\"a row of the ledger\"}\n{\"key\":\"k24\",\"value\":576,\"note\":\"a row of the ledger\"}\n{\"key\":\"k25\",\"value\":625,\"note\":\"a row of the ledger\"}\n{\"key\":\"k26\",\"value\":676,\"note\":\"a row of the ledger\"}\n{\"key\":\"k27\",\"value\":729,\"note\":\"a row of the ledger\"}\n{\"key\":\"k28\",\"value\":784,\"note\":\"a row of the ledger\"}\n{\"key\":\"k29\",\"value\":841,\"note\":\"a row of the ledger\"}\n{\"key\":\"k30\",\"value\":900,\"note\":\"a row of the ledger\"}\n{\"key\":\"k31\",\"value\":961,\"note\":\"a row of the ledger\"}\n{\"key\":\"k32\",\"value\":1024,\"note\":\"a row of the ledger\"}\n{\"key\":\"k33\",\"value\":1089,\"note\":\"a row of the ledger\"}\n{\"key\":\"k34\",\"value\":1156,\"note\":\"a row of the ledger\"}\n{\"key\":\"k35\",\"value\":1225,\"note\":\"a row of the ledger\"}\n{\"key\":\"k36\",\"value\":1296,\"note\":\"a row of the ledger\"}\n{\"key\":\"k37\",\"value\":1369,\"note\":\"a row of the ledger\"}\n{\"key\":\"k38\",\"value\":1444,\"note\":\"a row of the ledger\"}\n{\"key\":\"k39\",\"value\":1521,\"note\":\"a row of the ledger\"}","bound":600,"key":"k27"}}

✓ as expected

fold · The split folds: a payload larger than a place can hold is folded into pieces under the bound (bytes), each addressed by its content (fold address and SHA-256), the whole by its pieces (a root over their hashes); a key names the one piece it sits in (by address, or by the key range of its rows), so a door answers from that piece and never from the whole. The bound is a reflective boundary: piece i mirrors piece n−1−i, the excess is reflected into the count of pieces, decided by integer comparisons before anything is computed. With pieces (index, text, sha256?) and a root: the whole unfolded and the root checked, the wrong pieces named.

phase

folded

bytes

2193

bound

600

fits

false

excess

1593

count

4

root

8b8320f9daa0d618d3db6509413c396f7cc98f9f9c74bb22c357404d68ece2ac

fold

28126585-9abb-6ef9-a1e8-11625e20ee10

key

k27

decision

ask piece 2 (e57cee3e-e0eb-6f50-b91e-db3b18742802); the key sits between k21 and k30, the piece's first and last rows

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "phase": "folded",
  "bytes": 2193,
  "bound": 600,
  "fits": false,
  "excess": 1593,
  "pieces": [
    {
      "index": 0,
      "reflection": 3,
      "address": "78ad8789-580d-3c8c-a85d-8587416c6d0d",
      "sha256": "784827457d996d6e1045946b56f7d3e3488428006804f4c3c998785c0825b295",
      "bytes": 590,
      "rows": 11,
      "firstKey": "k00",
      "lastKey": "k10",
      "seed": 4,
      "trinity": [
        7,
        4,
        1
      ]
    },
    {
      "index": 1,
      "reflection": 2,
      "address": "03aeb4a0-9c65-1a63-b949-351551c26209",
      "sha256": "c090ae5cb274ccae5134e826f64bdfff02656575c34824662fcd2231259e904d",
      "bytes": 549,
      "rows": 10,
      "firstKey": "k11",
      "lastKey": "k20",
      "seed": 9,
      "trinity": [
        3,
        6,
        9
      ]
    },
    {
      "index": 2,
      "reflection": 1,
      "address": "e57cee3e-e0eb-6f50-b91e-db3b18742802",
      "sha256": "35cca753ba2123ea1555b286db61029d78ba1f971ec1e0ccf40348d812b7ea7c",
      "bytes": 549,
      "rows": 10,
      "firstKey": "k21",
      "lastKey": "k30",
      "seed": 2,
      "trinity": [
        2,
        5,
        8
      ]
    },
    {
      "index": 3,
      "reflection": 0,
      "address": "55db3c60-d12a-87e5-8e84-8a8d88c52ae4",
      "sha256": "82956f550bae9344f167e42f4a928d0efc7d9653d2d7ae82b7765d579f3e9e24",
      "bytes": 502,
      "rows": 9,
      "firstKey": "k31",
      "lastKey": "k39",
      "seed": 3,
      "trinity": [
        3,
        6,
        9
      ]
    }
  ],
  "count": 4,
  "root": "8b8320f9daa0d618d3db6509413c396f7cc98f9f9c74bb22c357404d68ece2ac",
  "fold": "28126585-9abb-6ef9-a1e8-11625e20ee10",
  "boundary": {
    "d": 3,
    "sigma": "σ_3(i) = 3 − i",
    "says": "4 pieces under a bound of 600 bytes; piece i mirrors piece 3 − i across the fold; the excess of 1593 bytes is reflected into 3 more piece(s)"
  },
  "decided": {
    "by": "integer comparisons: the byte count against the bound, the row count against the pieces",
    "comparisons": 41
  },
  "key": "k27",
  "located": {
    "index": 2,
    "address": "e57cee3e-e0eb-6f50-b91e-db3b18742802",
    "why": "the key sits between k21 and k30, the piece's first and last rows"
  },
  "decision": "ask piece 2 (e57cee3e-e0eb-6f50-b91e-db3b18742802); the key sits between k21 and k30, the piece's first and last rows"
}

seal · seal-text

SHA-256, the HMAC under a test key and the fold address of one text, the same at every host.

{"name":"seal","arguments":{"text":"qpu","key":"test"}}

✓ as expected

seal · SHA-256 of a text, and HMAC-SHA256 under a key the caller gives (a test key; a tenant's secret never travels here), pure and the same at every host; the fold address of the text beside them, so a block, a piece and a message are named by one scheme.

bytes

3

sha256

b419a49441c4ecd14de7f2be300f36b80b1ea6cffd1630baf848ee7cb0e165fa

address

70a13419-52d5-2702-a236-d17851bf2b4a

hmac

db53c95b6a0030b2e41a1287a91e53793ae7108e56cd2720097899319d092e65

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "bytes": 3,
  "sha256": "b419a49441c4ecd14de7f2be300f36b80b1ea6cffd1630baf848ee7cb0e165fa",
  "address": "70a13419-52d5-2702-a236-d17851bf2b4a",
  "hmac": "db53c95b6a0030b2e41a1287a91e53793ae7108e56cd2720097899319d092e65",
  "postQuantum": {
    "thisSeal": "SHA-256 and HMAC-SHA256 are symmetric: Grover's search halves their bits, so 256 bits keep 128 against a quantum adversary; no public-key step is taken here, so nothing of this seal falls to Shor",
    "standards": [
      {
        "fips": 203,
        "name": "ML-KEM (Module-Lattice-Based Key-Encapsulation Mechanism)",
        "published": "2024-08-13",
        "at": "https://csrc.nist.gov/pubs/fips/203/final"
      },
      {
        "fips": 204,
        "name": "ML-DSA (Module-Lattice-Based Digital Signature)",
        "published": "2024-08-13",
        "at": "https://csrc.nist.gov/pubs/fips/204/final"
      },
      {
        "fips": 205,
        "name": "SLH-DSA (Stateless Hash-Based Digital Signature)",
        "published": "2024-08-13",
        "at": "https://csrc.nist.gov/pubs/fips/205/final"
      }
    ],
    "selected": [
      {
        "name": "HQC (key encapsulation)",
        "on": "2025-03-11",
        "report": "NIST IR 8545",
        "at": "https://csrc.nist.gov/projects/post-quantum-cryptography"
      }
    ],
    "here": "signatures over folds with ML-DSA or SLH-DSA are not implemented in this tree: lead pqc-signature-over-folds; the fold, the hash and the HMAC stand"
  }
}

textbook · textbook-categories

The textbook as an adapter: every example categorised for reuse by toolbox, tool, theorem and module; the categories are computed, never written.

{"name":"textbook","arguments":{}}

✓ as expected

textbook · The QPU textbook as an adapter: every example categorised for reuse — by toolbox, by tool, by the kernel-accepted theorem that backs it, by that theorem's module — and, with reuse: <example id>, that example replayed and its result returned. The categories are computed from the registries, never written by hand.

examples

85

backedByTheorems

16

categories

4

toolboxCount

12

toolCount

41

theoremCount

14

moduleCount

5

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "examples": 85,
  "backedByTheorems": 16,
  "categories": 4,
  "toolboxCount": 12,
  "toolCount": 41,
  "theoremCount": 14,
  "moduleCount": 5,
  "textbook": {
    "toolbox": {
      "flow": [
        "discover-lead-registry",
        "discover-requests",
        "wave-requests",
        "readiness-plan",
        "e2e-requests",
        "imagine-two"
      ],
      "language": [
        "translate-bg",
        "translate-coverage",
        "prose-clay-bg"
      ],
      "raid": [
        "mongo-find",
        "mongo-update"
      ],
      "billing": [
        "stripe-plan",
        "stripe-catalogue",
        "stripe-webhook"
      ],
      "legal": [
        "legal-audit-offline",
        "legal-plan"
      ],
      "repository": [
        "repository-watch"
      ],
      "standards": [
        "jsonld-block",
        "jsonld-catalogue",
        "codes-plan"
      ],
      "payload": [
        "configure-versions",
        "configure-migration",
        "configure-api",
        "configure-fullstack",
        "configure-all",
        "configure-payload",
        "configure-wrangler-drift",
        "configure-tenant-missing",
        "payload-theorems-plan",
        "payload-theorems-update",
        "payload-website",
        "payload-skills",
        "payload-site",
        "payload-doc"
      ],
      "extension": [
        "extend-out",
        "extend-in-request",
        "extend-in-docs",
        "extend-call-served"
      ],
      "crypto": [
        "fold-ledger",
        "seal-text"
      ],
      "tree": [
        "textbook-categories",
        "textbook-reuse",
        "vortex-trinity",
        "css-stylesheet",
        "dashboard-processor",
        "dashboard-algorithm-narrowed",
        "dashboard-index",
        "clone-language",
        "metrics-live",
        "leads-all",
        "clay-register",
        "clay-reflection",
        "clay-relation-15",
        "verify-seal-and-content",
        "verify-tampered",
        "match-willow",
        "match-glagolitic",
        "match-bulgarian",
        "match-theorem-first",
        "match-pattern-uuid",
        "match-pattern-dashboard",
        "match-rsa-2048",
        "audit-self"
      ],
      "google": [
        "processor-willow",
        "processor-sycamore",
        "circuit-hadamard-amplitudes",
        "circuit-hadamard-sampled",
        "circuit-bit-flip-noise",
        "echo-returns",
        "echo-benchmark",
        "roadmap-all",
        "roadmap-milestone-3",
        "algorithm-shor-15",
        "algorithm-qft-3",
        "algorithm-grover",
        "algorithm-teleportation",
        "algorithm-phase-estimation",
        "algorithm-qaoa",
        "software",
        "statements-cirq",
        "repositories",
        "qec-bit-flip-0.1",
        "chemistry-h2",
        "ftqc-all",
        "quantumlib-cirq"
      ]
    },
    "tool": {
      "discover": [
        "discover-lead-registry",
        "discover-requests"
      ],
      "wave": [
        "wave-requests"
      ],
      "readiness": [
        "readiness-plan"
      ],
      "e2e": [
        "e2e-requests"
      ],
      "imagine": [
        "imagine-two"
      ],
      "translate": [
        "translate-bg",
        "translate-coverage"
      ],
      "prose": [
        "prose-clay-bg"
      ],
      "mongo": [
        "mongo-find",
        "mongo-update"
      ],
      "stripe": [
        "stripe-plan",
        "stripe-catalogue",
        "stripe-webhook"
      ],
      "legal": [
        "legal-audit-offline",
        "legal-plan"
      ],
      "repository": [
        "repository-watch"
      ],
      "jsonld": [
        "jsonld-block",
        "jsonld-catalogue"
      ],
      "codes": [
        "codes-plan"
      ],
      "configure": [
        "configure-versions",
        "configure-migration",
        "configure-api",
        "configure-fullstack",
        "configure-all",
        "configure-payload",
        "configure-wrangler-drift",
        "configure-tenant-missing"
      ],
      "payload": [
        "payload-theorems-plan",
        "payload-theorems-update",
        "payload-website",
        "payload-skills",
        "payload-site",
        "payload-doc"
      ],
      "extend": [
        "extend-out",
        "extend-in-request",
        "extend-in-docs",
        "extend-call-served"
      ],
      "fold": [
        "fold-ledger"
      ],
      "seal": [
        "seal-text"
      ],
      "textbook": [
        "textbook-categories",
        "textbook-reuse"
      ],
      "verify": [
        "vortex-trinity",
        "verify-seal-and-content",
        "verify-tampered"
      ],
      "css": [
        "css-stylesheet"
      ],
      "dashboard": [
        "dashboard-processor",
        "dashboard-algorithm-narrowed",
        "dashboard-index"
      ],
      "clone": [
        "clone-language"
      ],
      "metrics": [
        "metrics-live"
      ],
      "processor": [
        "processor-willow",
        "processor-sycamore"
      ],
      "circuit": [
        "circuit-hadamard-amplitudes",
        "circuit-hadamard-sampled",
        "circuit-bit-flip-noise"
      ],
      "echo": [
        "echo-returns"
      ],
      "echo_benchmark": [
        "echo-benchmark"
      ],
      "roadmap": [
        "roadmap-all",
        "roadmap-milestone-3"
      ],
      "algorithm": [
        "algorithm-shor-15",
        "algorithm-qft-3",
        "algorithm-grover",
        "algorithm-teleportation",
        "algorithm-phase-estimation",
        "algorithm-qaoa"
      ],
      "software": [
        "software"
      ],
      "statements": [
        "statements-cirq"
      ],
      "repositories": [
        "repositories"
      ],
      "leads": [
        "leads-all"
      ],
      "quantum-error-correction": [
        "qec-bit-flip-0.1"
      ],
      "chemistry-simulation": [
        "chemistry-h2"
      ],
      "fault-tolerant-design": [
        "ftqc-all"
      ],
      "quantumlib": [
        "quantumlib-cirq"
      ],
      "clay": [
        "clay-register",
        "clay-reflection",
        "clay-relation-15"
      ],
      "match": [
        "match-willow",
        "match-glagolitic",
        "match-bulgarian",
        "match-theorem-first",
        "match-pattern-uuid",
        "match-pattern-dashboard",
        "match-rsa-2048"
      ],
      "audit": [
        "audit-self"
      ]
    },
    "theorem": {
      "none yet: a lead for a theorem": [
        "discover-lead-registry",
        "discover-requests",
        "wave-requests",
        "readiness-plan",
        "e2e-requests",
        "imagine-two",
        "translate-bg",
        "translate-coverage",
        "prose-clay-bg",
        "mongo-find",
        "mongo-update",
        "stripe-plan",
        "stripe-webhook",
        "legal-plan",
        "repository-watch",
        "jsonld-block",
        "jsonld-catalogue",
        "codes-plan",
        "configure-versions",
        "configure-api",
        "configure-fullstack",
        "configure-wrangler-drift",
        "configure-tenant-missing",
        "payload-theorems-plan",
        "payload-theorems-update",
        "payload-site",
        "extend-out",
        "extend-in-docs",
        "extend-call-served",
        "seal-text",
        "textbook-categories",
        "textbook-reuse",
        "dashboard-processor",
        "dashboard-algorithm-narrowed",
        "dashboard-index",
        "metrics-live",
        "processor-willow",
        "processor-sycamore",
        "circuit-hadamard-amplitudes",
        "circuit-hadamard-sampled",
        "circuit-bit-flip-noise",
        "echo-returns",
        "echo-benchmark",
        "roadmap-all",
        "roadmap-milestone-3",
        "algorithm-shor-15",
        "algorithm-qft-3",
        "algorithm-grover",
        "algorithm-teleportation",
        "algorithm-phase-estimation",
        "algorithm-qaoa",
        "software",
        "statements-cirq",
        "repositories",
        "leads-all",
        "qec-bit-flip-0.1",
        "chemistry-h2",
        "ftqc-all",
        "quantumlib-cirq",
        "clay-register",
        "verify-seal-and-content",
        "verify-tampered",
        "match-willow",
        "match-glagolitic",
        "match-bulgarian",
        "match-pattern-uuid",
        "match-pattern-dashboard",
        "match-rsa-2048",
        "audit-self"
      ],
      "textbook_prices_are_variants_times_currencies": [
        "stripe-catalogue"
      ],
      "textbook_uuid_is_36": [
        "legal-audit-offline",
        "payload-doc"
      ],
      "textbook_providers_are_tenants_plus_operator": [
        "configure-migration"
      ],
      "textbook_reflection_sums_to_ten": [
        "configure-all",
        "css-stylesheet"
      ],
      "textbook_plugin_combinations": [
        "configure-payload"
      ],
      "textbook_website_plugins_partition": [
        "payload-website"
      ],
      "textbook_skills_documents": [
        "payload-skills"
      ],
      "textbook_integrations_are_ten": [
        "extend-in-request"
      ],
      "textbook_fold_mirror": [
        "fold-ledger"
      ],
      "triad_reflect": [
        "vortex-trinity",
        "clay-reflection"
      ],
      "all_noclone": [
        "clone-language"
      ],
      "relation_15": [
        "clay-relation-15"
      ],
      "mersenne_127": [
        "match-theorem-first"
      ]
    },
    "module": {
      "Qpu.Textbook": [
        "stripe-catalogue",
        "legal-audit-offline",
        "configure-migration",
        "configure-all",
        "configure-payload",
        "payload-website",
        "payload-skills",
        "payload-doc",
        "extend-in-request",
        "fold-ledger",
        "css-stylesheet"
      ],
      "Qpu.Sigma": [
        "vortex-trinity",
        "clay-reflection"
      ],
      "Qpu.Circuit": [
        "clone-language"
      ],
      "Qpu.Clay": [
        "clay-relation-15"
      ],
      "Qpu.Primes": [
        "match-theorem-first"
      ]
    }
  }
}

textbook · textbook-reuse

One example reused by id: replayed, its result returned, as documented.

{"name":"textbook","arguments":{"reuse":"clay-relation-15"}}

✓ as expected

textbook · The QPU textbook as an adapter: every example categorised for reuse — by toolbox, by tool, by the kernel-accepted theorem that backs it, by that theorem's module — and, with reuse: <example id>, that example replayed and its result returned. The categories are computed from the registries, never written by hand.

reused

clay-relation-15

tool

clay

toolbox

tree

theorem

relation_15

shows

One relation: magicBlock = glProd hexbit seed = qftDepth vertices = 15.

asDocumented

true

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "reused": "clay-relation-15",
  "tool": "clay",
  "toolbox": "tree",
  "theorem": "relation_15",
  "shows": "One relation: magicBlock = glProd hexbit seed = qftDepth vertices = 15.",
  "asDocumented": true,
  "why": null,
  "result": {
    "relations": [
      {
        "name": "relation_15",
        "statement": "magicBlock = glProd hexbit seed ∧ magicBlock = qftDepth vertices",
        "sides": [
          {
            "expression": "magicBlock",
            "value": 15
          },
          {
            "expression": "glProd hexbit seed",
            "value": 15
          },
          {
            "expression": "qftDepth vertices",
            "value": 15
          }
        ],
        "holds": true,
        "bits": 4
      }
    ],
    "total": 54,
    "holding": 54,
    "maxBits": 33,
    "maxLimbs16": 3,
    "ledger": "relation_8=8\nrelation_15=15\nrelation_16=16\nrelation_32=32\nrelation_128=128\nrelation_28=28\nrelation_256=256\nrelation_10=10\nrelation_14=14\nrelation_21=21\nrelation_25=25\nrelation_64=64\nrelation_16384=16384\nrelation_13=13\nrelation_24=24\nrelation_35=35\nrelation_105=105\nrelation_268435456=268435456\nrelation_4294967296=4294967296\nrelation_9=9\nrelation_12=12\nrelation_17=17\nrelation_56=56\nrelation_70=70\nrelation_1024=1024\nrelation_27=27\nrelation_36=36\nrelation_42=42\nrelation_49=49\nrelation_91=91\nrelation_96=96\nrelation_196=196\nrelation_224=224\nrelation_364=364\nrelation_378=378\nrelation_392=392\nrelation_406=406\nrelation_496=496\nrelation_528=528\nrelation_1001=1001\nrelation_3003=3003\nrelation_3276=3276\nrelation_3432=3432\nrelation_4960=4960\nrelation_8192=8192\nrelation_20475=20475\nrelation_35960=35960\nrelation_65536=65536\nrelation_1184040=1184040\nrelation_3108105=3108105\nrelation_3365856=3365856\nrelation_10518300=10518300\nrelation_40116600=40116600\nrelation_471435600=471435600"
  }
}

verify · vortex-trinity

The 9-vortex of a UUID read whole: the seed, its reflection under σ_10, the trinity it belongs to and the trinity it reflects into at the same time (3, 6, 9 ↔ 7, 4, 1; 2, 5, 8 into itself), and whether it sits in the key's trinity; stated by the kernel as triad_reflect.

{"name":"verify","arguments":{"uuid":"941ef62e-d97b-2438-bfc8-22ae9e5da781"}}

✓ as expected

verify · Cheap verification of one UUID: its seal (the version nibble the other 31 nibbles decide, one modular power, no content needed), its content (one fold), and its neighbours in a chain (the predecessor it names and the successor that names it). Each check is independent; a check without its input is not decided rather than passed.

UUID

941ef62e-d97b-2438-bfc8-22ae9e5da781

Valid

✓

Checks decided

1

Check	Result	Evidence
seal	✓	version 2 vs decided 2; variant in 8..b
content	not decided	no content given
prev	not decided	no predecessor given
next	not decided	no successor given

Cost
one modular power for the seal, one fold for the content, two string equalities for the neighbours

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "uuid": "941ef62e-d97b-2438-bfc8-22ae9e5da781",
  "channel": {
    "uuid": "941ef62e-d97b-2438-bfc8-22ae9e5da781",
    "handle": "941ef62e",
    "middle": "d97b2438bfc8",
    "tail": "22ae9e5da781",
    "program": [
      13,
      9,
      7,
      11,
      4,
      3,
      8,
      15,
      12,
      8
    ],
    "version": "2",
    "variant": "b",
    "message": {
      "one48": 38133376591745,
      "two24": [
        2272926,
        6137729
      ],
      "three16": [
        8878,
        40541,
        42881
      ],
      "text6": null,
      "timestamp": null,
      "referrer": {
        "handle": "22ae9e5d",
        "flags": 42881
      },
      "colour": {
        "rgb": "#22ae9e",
        "key": 0.3658371785782086
      },
      "coordinate": {
        "lat": -65.614148,
        "lon": -48.298616
      },
      "vortex": {
        "seed": 2,
        "reflection": 8,
        "fixed": false,
        "polarity": "minus",
        "trinity": [
          2,
          5,
          8
        ],
        "reflected": [
          8,
          5,
          2
        ],
        "tuned": false,
        "key": 432
      }
    },
    "door": "qpu://941ef62e",
    "words": "941ef62e · program 13971143815128 · tail 22ae9e5da781"
  },
  "reflection": {
    "of": "941ef62e-d97b-2438-bfc8-22ae9e5da781",
    "mirror": "6be109d1-2684-6bc7-8037-dd5161a2587e",
    "handle": "6be109d1",
    "program": [
      2,
      6,
      8,
      4,
      11,
      12,
      7,
      0,
      3,
      7
    ],
    "tail": "dd5161a2587e",
    "readings": {
      "one48": 243341600118910,
      "two24": [
        14504289,
        10639486
      ],
      "three16": [
        56657,
        24994,
        22654
      ],
      "text6": null,
      "timestamp": null,
      "referrer": {
        "handle": "dd5161a2",
        "flags": 22654
      },
      "colour": {
        "rgb": "#dd5161",
        "key": 0.6341628214217914
      },
      "coordinate": {
        "lat": 65.614148,
        "lon": 48.298616
      },
      "vortex": {
        "seed": 7,
        "reflection": 3,
        "fixed": false,
        "polarity": "plus",
        "trinity": [
          7,
          4,
          1
        ],
        "reflected": [
          3,
          6,
          9
        ],
        "tuned": false,
        "key": 432
      }
    },
    "fixed": 0,
    "note": "σ_15 on nibbles has no fixed point; the pair is two states held at once"
  },
  "valid": true,
  "checks": [
    {
      "check": "seal",
      "passed": true,
      "evidence": "version 2 vs decided 2; variant in 8..b"
    },
    {
      "check": "content",
      "passed": null,
      "evidence": "no content given"
    },
    {
      "check": "prev",
      "passed": null,
      "evidence": "no predecessor given"
    },
    {
      "check": "next",
      "passed": null,
      "evidence": "no successor given"
    }
  ],
  "decided": 1,
  "cost": "one modular power for the seal, one fold for the content, two string equalities for the neighbours",
  "bound": "the fold is tamper-evident and separates content; it is not collision-resistant against an adversary who searches for one. The docket and the receipts carry a SHA-256 beside it for that case."
}

css · css-stylesheet

The UI as CSS: the stylesheet from the key 432 with the rules that draw every block from its own custom properties, and the thirteen variables one UUID sets on its block root, its vortex seed and the seed's reflection summing to 10; no script anywhere.

{"name":"css","arguments":{"uuid":"941ef62e-d97b-2438-bfc8-22ae9e5da781"}}

✓ as expected

css · The quantum UI as CSS alone: the stylesheet derived from the key 432 (the harmonics, and the rules that draw every block from its own custom properties with no script, motion only where the device allows it, off-screen blocks at no cost) and, for a uuid, the custom properties its block root carries (hue, CMYK, accent, tail colour and angle, the 9-vortex seed and period). Computed once; a device renders at the cost of CSS.

key

432

bytes

1787

rules

16

variables

17

script

false

uuid

941ef62e-d97b-2438-bfc8-22ae9e5da781

stylesheet

:root { --a432-key: 432; --a432-hue: 72; --a432-1: hsl(72 62% 44%); --a432-2: hsl(216 62% 52%); --a432-3: hsl(108 62% 60%); --a432-4: hsl(54 62% 68%); --a432-5: hsl(27 62% 76%); --a432-accent: hsl(72 62% 44%); } /* every block draws itself from the custom properties its UUID set on its root; nothing here needs a script */ .qpu-block { border-left: 3px solid var(--qpu-accent, var(--a432-accent)); padding-left: var(--pad-sm, 8px); content-visibility: auto; contain-intrinsic-size: auto 240px; background: linear-gradient(90deg, color-mix(in oklab, var(--qpu-accent, var(--a432-accent)) 6%, transparent), transparent 60%); } .qpu-block::before { content: ''; display: block; height: 3px; margin-bottom: var(--gap-sm, 6px); background: conic-gradient(from calc(var(--qpu-angle, 0) * 1deg) at 50% 120%, var(--qpu-accent, var(--a432-accent)), var(--qpu-tail, var(--a432-2)), var(--qpu-accent, var(--a432-accent))); } .qpu-block [data-status] { border-left: 2px solid var(--qpu-status, var(--a432-3)); padding-left: 4px; } .qpu-block [data-status="served"] { --qpu-status: var(--a432-1); } .qpu-block [data-status="partial"] { --qpu-status: var(--a432-2); } .qpu-block [data-status="open"] { --qpu-status: var(--a432-3); } .qpu-block [data-status="blocked"], .qpu-block [data-status="out_of_scope"] { --qpu-status: var(--a432-5); } @media (prefers-reduced-motion: no-preference) { .qpu-block::before { animation: qpu-vortex var(--qpu-period, 3888ms) linear infinite; } @keyframes qpu-vortex { to { filter: hue-rotate(360deg); } } } @media (prefers-color-scheme: dark) { .qpu-block { background: linear-gradient(90deg, color-mix(in oklab, var(--qpu-accent, var(--a432-accent)) 12%, transparent), transparent 60%); } } @media print { .qpu-block::before { animation: none; } }

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "key": 432,
  "bytes": 1787,
  "rules": 16,
  "variables": 17,
  "script": false,
  "uuid": "941ef62e-d97b-2438-bfc8-22ae9e5da781",
  "vars": {
    "--qpu-reflected-hue": "250",
    "--qpu-drift": "140",
    "--qpu-dust": "2 2 5 7",
    "--qpu-drift-angle": "2.443461",
    "--qpu-hue": "110",
    "--qpu-c": "0.850",
    "--qpu-m": "0.696",
    "--qpu-y": "0.221",
    "--qpu-k": "0.987",
    "--qpu-accent": "rgb(1 1 3)",
    "--qpu-tail": "rgb(34 174 158)",
    "--qpu-angle": "65",
    "--qpu-vortex": "2",
    "--qpu-reflection": "8",
    "--qpu-trinity": "2",
    "--qpu-period": "864ms",
    "--block-accent": "rgb(1 1 3)"
  },
  "stylesheet": ":root {\n  --a432-key: 432;\n  --a432-hue: 72;\n  --a432-1: hsl(72 62% 44%);\n  --a432-2: hsl(216 62% 52%);\n  --a432-3: hsl(108 62% 60%);\n  --a432-4: hsl(54 62% 68%);\n  --a432-5: hsl(27 62% 76%);\n  --a432-accent: hsl(72 62% 44%);\n}\n/* every block draws itself from the custom properties its UUID set on its root; nothing here needs a script */\n.qpu-block { border-left: 3px solid var(--qpu-accent, var(--a432-accent)); padding-left: var(--pad-sm, 8px); content-visibility: auto; contain-intrinsic-size: auto 240px; background: linear-gradient(90deg, color-mix(in oklab, var(--qpu-accent, var(--a432-accent)) 6%, transparent), transparent 60%); }\n.qpu-block::before { content: ''; display: block; height: 3px; margin-bottom: var(--gap-sm, 6px); background: conic-gradient(from calc(var(--qpu-angle, 0) * 1deg) at 50% 120%, var(--qpu-accent, var(--a432-accent)), var(--qpu-tail, var(--a432-2)), var(--qpu-accent, var(--a432-accent))); }\n.qpu-block [data-status] { border-left: 2px solid var(--qpu-status, var(--a432-3)); padding-left: 4px; }\n.qpu-block [data-status=\"served\"] { --qpu-status: var(--a432-1); } .qpu-block [data-status=\"partial\"] { --qpu-status: var(--a432-2); } .qpu-block [data-status=\"open\"] { --qpu-status: var(--a432-3); } .qpu-block [data-status=\"blocked\"], .qpu-block [data-status=\"out_of_scope\"] { --qpu-status: var(--a432-5); }\n@media (prefers-reduced-motion: no-preference) { .qpu-block::before { animation: qpu-vortex var(--qpu-period, 3888ms) linear infinite; } @keyframes qpu-vortex { to { filter: hue-rotate(360deg); } } }\n@media (prefers-color-scheme: dark) { .qpu-block { background: linear-gradient(90deg, color-mix(in oklab, var(--qpu-accent, var(--a432-accent)) 12%, transparent), transparent 60%); } }\n@media print { .qpu-block::before { animation: none; } }\n"
}

dashboard · dashboard-processor

The processor tool laid out whole: its one facet (three devices) and the three combinations, each a final cell drawn by its own UUID with a link to its walk page, so the click is the decision.

{"name":"dashboard","arguments":{"tool":"processor"}}

✓ as expected

dashboard · A bounded tool laid out whole, so the user's decision in the UI is final: every value each property admits (an enum, a boolean, an integer range, the ends of a numeric bound, the textbook's values where a string is free), the whole space reachable by fixing one facet at a time (each cell narrows the dashboard until one combination remains, whose cell is its walk page /u/<uuid>), every cell drawn by its own UUID's CSS. Without a tool: every tool with the size of its space.

processor: 3 combination(s) of 1 facet(s), 0 fixed, 3 cell(s) here

name one of 3, required

"Willow""Sycamore""Sycamore23"

▶ name="Willow"▶ name="Sycamore"▶ name="Sycamore23"

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "tool": "processor",
  "facets": 1,
  "enumerable": 1,
  "fixed": 0,
  "combinations": 3,
  "cells": 3,
  "final": 3,
  "space": 3,
  "freeRequired": [],
  "facetList": [
    {
      "property": "name",
      "kind": "enum",
      "required": true,
      "values": [
        "Willow",
        "Sycamore",
        "Sycamore23"
      ],
      "domain": "one of 3",
      "space": 3
    }
  ],
  "cellList": [
    {
      "arguments": {
        "name": "Willow"
      },
      "uuid": "193550e8-665b-6a96-a507-30b5b6e1fee7",
      "url": "/u/193550e8-665b-6a96-a507-30b5b6e1fee7",
      "final": true
    },
    {
      "arguments": {
        "name": "Sycamore"
      },
      "uuid": "9aff481b-3d9c-7ad9-90fd-2bb260c75498",
      "url": "/u/9aff481b-3d9c-7ad9-90fd-2bb260c75498",
      "final": true
    },
    {
      "arguments": {
        "name": "Sycamore23"
      },
      "uuid": "8609c2bf-6af5-2e34-9055-5c8429503963",
      "url": "/u/8609c2bf-6af5-2e34-9055-5c8429503963",
      "final": true
    }
  ],
  "html": "<div style=\"display: grid; gap: var(--gap-md);\"><div role=\"heading\" aria-level=\"3\">processor: 3 combination(s) of 1 facet(s), 0 fixed, 3 cell(s) here</div><div data-facet=\"name\"><strong>name</strong> <small>one of 3, required</small><div><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">\"Willow\"</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">\"Sycamore\"</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">\"Sycamore23\"</span></div></div><div style=\"display: grid; grid-template-columns: repeat(auto-fill, minmax(140px, 1fr)); gap: var(--gap-sm, 6px);\"><a href=\"/u/193550e8-665b-6a96-a507-30b5b6e1fee7\" data-block=\"193550e8-665b-6a96-a507-30b5b6e1fee7\" style=\"--qpu-reflected-hue: 240; --qpu-drift: 120; --qpu-dust: 2 2 2 3 5; --qpu-drift-angle: 2.094395; --qpu-hue: 120; --qpu-c: 0.400; --qpu-m: 0.714; --qpu-y: 0.589; --qpu-k: 0.314; --qpu-accent: rgb(105 50 72); --qpu-tail: rgb(48 181 182); --qpu-angle: 311; --qpu-vortex: 5; --qpu-reflection: 5; --qpu-trinity: 2; --qpu-period: 2160ms; --block-accent: rgb(105 50 72); display: block; border-left: 3px solid var(--qpu-accent); padding: 4px 8px; border-radius: var(--radius); background: var(--surface-1); color: var(--text-primary); text-decoration: none; font-size: var(--font-size-footnote);\" title=\"193550e8-665b-6a96-a507-30b5b6e1fee7\">▶ name=&quot;Willow&quot;</a><a href=\"/u/9aff481b-3d9c-7ad9-90fd-2bb260c75498\" data-block=\"9aff481b-3d9c-7ad9-90fd-2bb260c75498\" style=\"--qpu-reflected-hue: 77; --qpu-drift: 206; --qpu-dust: 2 103; --qpu-drift-angle: 3.595378; --qpu-hue: 283; --qpu-c: 0.241; --qpu-m: 0.780; --qpu-y: 0.850; --qpu-k: 0.062; --qpu-accent: rgb(182 53 36); --qpu-tail: rgb(43 178 96); --qpu-angle: 272; --qpu-vortex: 2; --qpu-reflection: 8; --qpu-trinity: 2; --qpu-period: 864ms; --block-accent: rgb(182 53 36); display: block; border-left: 3px solid var(--qpu-accent); padding: 4px 8px; border-radius: var(--radius); background: var(--surface-1); color: var(--text-primary); text-decoration: none; font-size: var(--font-size-footnote);\" title=\"9aff481b-3d9c-7ad9-90fd-2bb260c75498\">▶ name=&quot;Sycamore&quot;</a><a href=\"/u/8609c2bf-6af5-2e34-9055-5c8429503963\" data-block=\"8609c2bf-6af5-2e34-9055-5c8429503963\" style=\"--qpu-reflected-hue: 177; --qpu-drift: 6; --qpu-dust: 2 3; --qpu-drift-angle: 0.104720; --qpu-hue: 183; --qpu-c: 0.418; --qpu-m: 0.324; --qpu-y: 0.205; --qpu-k: 0.021; --qpu-accent: rgb(145 169 198); --qpu-tail: rgb(92 132 41); --qpu-angle: 291; --qpu-vortex: 3; --qpu-reflection: 7; --qpu-trinity: 3; --qpu-period: 1296ms; --block-accent: rgb(145 169 198); display: block; border-left: 3px solid var(--qpu-accent); padding: 4px 8px; border-radius: var(--radius); background: var(--surface-1); color: var(--text-primary); text-decoration: none; font-size: var(--font-size-footnote);\" title=\"8609c2bf-6af5-2e34-9055-5c8429503963\">▶ name=&quot;Sycamore23&quot;</a></div></div>"
}

dashboard · dashboard-algorithm-narrowed

The algorithm tool with its name fixed to shor: the space of every combination counted whole, and the next facet open as cells that narrow it further, until one combination remains and its cell is the walk.

{"name":"dashboard","arguments":{"tool":"algorithm","fixed":{"name":"shor"}}}

✓ as expected

dashboard · A bounded tool laid out whole, so the user's decision in the UI is final: every value each property admits (an enum, a boolean, an integer range, the ends of a numeric bound, the textbook's values where a string is free), the whole space reachable by fixing one facet at a time (each cell narrows the dashboard until one combination remains, whose cell is its walk page /u/<uuid>), every cell drawn by its own UUID's CSS. Without a tool: every tool with the size of its space.

algorithm: 280,896 combination(s) of 10 facet(s), 1 fixed, 19 cell(s) here

name one of 7, required, fixed to "shor"

"qft""inverse_qft""phase_estimation""grover""teleportation""qaoa""shor"

N integer in [3, 21]

3456789101112131415161718192021

a 1 value(s) the textbook uses

7

sweep false or true

falsetrue

qubits integer in [1, 6]

123456

input 1 value(s) the textbook uses

5

theta 1 value(s) the textbook uses

0.25

bits integer in [1, 8]

12345678

repetitions integer in [1, 10000] (2 shown: the ends and the textbook's; any value in the range is yours to type)

110000

nodes integer in [2, 12]

23456789101112

weights array: free, no value enumerable

free

alpha number: free, no value enumerable

free

beta number: free, no value enumerable

free

▸ name="shor" N=3▸ name="shor" N=4▸ name="shor" N=5▸ name="shor" N=6▸ name="shor" N=7▸ name="shor" N=8▸ name="shor" N=9▸ name="shor" N=10▸ name="shor" N=11▸ name="shor" N=12▸ name="shor" N=13▸ name="shor" N=14▸ name="shor" N=15▸ name="shor" N=16▸ name="shor" N=17▸ name="shor" N=18▸ name="shor" N=19▸ name="shor" N=20▸ name="shor" N=21

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "tool": "algorithm",
  "facets": 13,
  "enumerable": 10,
  "fixed": 1,
  "combinations": 280896,
  "cells": 19,
  "final": 0,
  "space": "unbounded",
  "freeRequired": [],
  "facetList": [
    {
      "property": "name",
      "kind": "enum",
      "required": true,
      "values": [
        "qft",
        "inverse_qft",
        "phase_estimation",
        "grover",
        "teleportation",
        "qaoa",
        "shor"
      ],
      "domain": "one of 7",
      "space": 7
    },
    {
      "property": "N",
      "kind": "range",
      "required": false,
      "values": [
        3,
        4,
        5,
        6,
        7,
        8,
        9,
        10,
        11,
        12,
        13,
        14,
        15,
        16,
        17,
        18,
        19,
        20,
        21
      ],
      "domain": "integer in [3, 21]",
      "space": 19
    },
    {
      "property": "a",
      "kind": "textbook",
      "required": false,
      "values": [
        7
      ],
      "domain": "1 value(s) the textbook uses",
      "space": 1
    },
    {
      "property": "sweep",
      "kind": "boolean",
      "required": false,
      "values": [
        false,
        true
      ],
      "domain": "false or true",
      "space": 2
    },
    {
      "property": "qubits",
      "kind": "range",
      "required": false,
      "values": [
        1,
        2,
        3,
        4,
        5,
        6
      ],
      "domain": "integer in [1, 6]",
      "space": 6
    },
    {
      "property": "input",
      "kind": "textbook",
      "required": false,
      "values": [
        5
      ],
      "domain": "1 value(s) the textbook uses",
      "space": 1
    },
    {
      "property": "theta",
      "kind": "textbook",
      "required": false,
      "values": [
        0.25
      ],
      "domain": "1 value(s) the textbook uses",
      "space": 1
    },
    {
      "property": "bits",
      "kind": "range",
      "required": false,
      "values": [
        1,
        2,
        3,
        4,
        5,
        6,
        7,
        8
      ],
      "domain": "integer in [1, 8]",
      "space": 8
    },
    {
      "property": "repetitions",
      "kind": "range",
      "required": false,
      "values": [
        1,
        10000
      ],
      "domain": "integer in [1, 10000] (2 shown: the ends and the textbook's; any value in the range is yours to type)",
      "space": 10000
    },
    {
      "property": "nodes",
      "kind": "range",
      "required": false,
      "values": [
        2,
        3,
        4,
        5,
        6,
        7,
        8,
        9,
        10,
        11,
        12
      ],
      "domain": "integer in [2, 12]",
      "space": 11
    },
    {
      "property": "weights",
      "kind": "free",
      "required": false,
      "values": [],
      "domain": "array: free, no value enumerable",
      "space": null
    },
    {
      "property": "alpha",
      "kind": "free",
      "required": false,
      "values": [],
      "domain": "number: free, no value enumerable",
      "space": null
    },
    {
      "property": "beta",
      "kind": "free",
      "required": false,
      "values": [],
      "domain": "number: free, no value enumerable",
      "space": null
    }
  ],
  "cellList": [
    {
      "arguments": {
        "name": "shor",
        "N": 3
      },
      "uuid": "46f6c259-c1e5-4af4-9215-d3a06e5a531b",
      "url": "/u/46f6c259-c1e5-4af4-9215-d3a06e5a531b",
      "final": false
    },
    {
      "arguments": {
        "name": "shor",
        "N": 4
      },
      "uuid": "3fa89559-be25-253d-896a-c77628703efa",
      "url": "/u/3fa89559-be25-253d-896a-c77628703efa",
      "final": false
    },
    {
      "arguments": {
        "name": "shor",
        "N": 5
      },
      "uuid": "35016c59-b78c-4608-b436-29f0999b1c81",
      "url": "/u/35016c59-b78c-4608-b436-29f0999b1c81",
      "final": false
    },
    {
      "arguments": {
        "name": "shor",
        "N": 6
      },
      "uuid": "2db24759-b3ca-55fa-b4d6-7611b4df5d28",
      "url": "/u/2db24759-b3ca-55fa-b4d6-7611b4df5d28",
      "final": false
    },
    {
      "arguments": {
        "name": "shor",
        "N": 7
      },
      "uuid": "22f01e59-ad1a-5a49-a9e8-a020c075fc57",
      "url": "/u/22f01e59-ad1a-5a49-a9e8-a020c075fc57",
      "final": false
    },
    {
      "arguments": {
        "name": "shor",
        "N": 8
      },
      "uuid": "a4f28159-f6c3-887d-a4f9-fd4b849d8196",
      "url": "/u/a4f28159-f6c3-887d-a4f9-fd4b849d8196",
      "final": false
    },
    {
      "arguments": {
        "name": "shor",
        "N": 9
      },
      "uuid": "9db15859-f30d-5bd8-bec3-9af7fec06d4d",
      "url": "/u/9db15859-f30d-5bd8-bec3-9af7fec06d4d",
      "final": false
    },
    {
      "arguments": {
        "name": "shor",
        "N": 10
      },
      "uuid": "0781c094-c0c5-13cc-9b5a-7c375142cc41",
      "url": "/u/0781c094-c0c5-13cc-9b5a-7c375142cc41",
      "final": false
    },
    {
      "arguments": {
        "name": "shor",
        "N": 11
      },
      "uuid": "0ec2e994-c47b-6071-84f7-ee8ada04d7ba",
      "url": "/u/0ec2e994-c47b-6071-84f7-ee8ada04d7ba",
      "final": false
    },
    {
      "arguments": {
        "name": "shor",
        "N": 12
      },
      "uuid": "f5707294-b653-680d-b899-fac298bc1117",
      "url": "/u/f5707294-b653-680d-b899-fac298bc1117",
      "final": false
    },
    {
      "arguments": {
        "name": "shor",
        "N": 13
      },
      "uuid": "fccc9b94-ba20-812e-88c1-c7a89ddd03e8",
      "url": "/u/fccc9b94-ba20-812e-88c1-c7a89ddd03e8",
      "final": false
    },
    {
      "arguments": {
        "name": "shor",
        "N": 14
      },
      "uuid": "28236494-d2ae-3d17-ac8b-ae910fbfdd65",
      "url": "/u/28236494-d2ae-3d17-ac8b-ae910fbfdd65",
      "final": false
    },
    {
      "arguments": {
        "name": "shor",
        "N": 15
      },
      "uuid": "32ca8d94-d947-2c4b-a83e-abd481d94d8e",
      "url": "/u/32ca8d94-d947-2c4b-a83e-abd481d94d8e",
      "final": false
    },
    {
      "arguments": {
        "name": "shor",
        "N": 16
      },
      "uuid": "16121694-c83d-7158-9cb7-8506f0dceadb",
      "url": "/u/16121694-c83d-7158-9cb7-8506f0dceadb",
      "final": false
    },
    {
      "arguments": {
        "name": "shor",
        "N": 17
      },
      "uuid": "20d43f94-ceec-7d09-bd65-430e843172cc",
      "url": "/u/20d43f94-ceec-7d09-bd65-430e843172cc",
      "final": false
    },
    {
      "arguments": {
        "name": "shor",
        "N": 18
      },
      "uuid": "4c2b0894-e77b-18f1-b8d6-b2a1ffc4d129",
      "url": "/u/4c2b0894-e77b-18f1-b8d6-b2a1ffc4d129",
      "final": false
    },
    {
      "arguments": {
        "name": "shor",
        "N": 19
      },
      "uuid": "536c3194-eb31-6596-a462-1c9f4fe722a2",
      "url": "/u/536c3194-eb31-6596-a462-1c9f4fe722a2",
      "final": false
    },
    {
      "arguments": {
        "name": "shor",
        "N": 20
      },
      "uuid": "652a6a8c-688d-5fdd-9f42-886087f5c796",
      "url": "/u/652a6a8c-688d-5fdd-9f42-886087f5c796",
      "final": false
    },
    {
      "arguments": {
        "name": "shor",
        "N": 21
      },
      "uuid": "5de9418c-64d8-2338-b90c-260d0218b34d",
      "url": "/u/5de9418c-64d8-2338-b90c-260d0218b34d",
      "final": false
    }
  ],
  "html": "<div style=\"display: grid; gap: var(--gap-md);\"><div role=\"heading\" aria-level=\"3\">algorithm: 280,896 combination(s) of 10 facet(s), 1 fixed, 19 cell(s) here</div><div data-facet=\"name\"><strong>name</strong> <small>one of 7, required, fixed to \"shor\"</small><div><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">\"qft\"</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">\"inverse_qft\"</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">\"phase_estimation\"</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">\"grover\"</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">\"teleportation\"</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">\"qaoa\"</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); outline: 2px solid var(--a432-accent);\">\"shor\"</span></div></div><div data-facet=\"N\"><strong>N</strong> <small>integer in [3, 21]</small><div><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">3</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">4</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">5</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">6</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">7</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">8</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">9</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">10</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">11</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">12</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">13</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">14</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">15</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">16</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">17</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">18</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">19</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">20</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">21</span></div></div><div data-facet=\"a\"><strong>a</strong> <small>1 value(s) the textbook uses</small><div><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">7</span></div></div><div data-facet=\"sweep\"><strong>sweep</strong> <small>false or true</small><div><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">false</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">true</span></div></div><div data-facet=\"qubits\"><strong>qubits</strong> <small>integer in [1, 6]</small><div><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">1</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">2</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">3</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">4</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">5</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">6</span></div></div><div data-facet=\"input\"><strong>input</strong> <small>1 value(s) the textbook uses</small><div><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">5</span></div></div><div data-facet=\"theta\"><strong>theta</strong> <small>1 value(s) the textbook uses</small><div><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">0.25</span></div></div><div data-facet=\"bits\"><strong>bits</strong> <small>integer in [1, 8]</small><div><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">1</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">2</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">3</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">4</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">5</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">6</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">7</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">8</span></div></div><div data-facet=\"repetitions\"><strong>repetitions</strong> <small>integer in [1, 10000] (2 shown: the ends and the textbook's; any value in the range is yours to type)</small><div><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">1</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">10000</span></div></div><div data-facet=\"nodes\"><strong>nodes</strong> <small>integer in [2, 12]</small><div><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">2</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">3</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">4</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">5</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">6</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">7</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">8</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">9</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">10</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">11</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">12</span></div></div><div data-facet=\"weights\"><strong>weights</strong> <small>array: free, no value enumerable</small><div><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">free</span></div></div><div data-facet=\"alpha\"><strong>alpha</strong> <small>number: free, no value enumerable</small><div><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">free</span></div></div><div data-facet=\"beta\"><strong>beta</strong> <small>number: free, no value enumerable</small><div><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">free</span></div></div><div style=\"display: grid; grid-template-columns: repeat(auto-fill, minmax(140px, 1fr)); gap: var(--gap-sm, 6px);\"><a href=\"/u/46f6c259-c1e5-4af4-9215-d3a06e5a531b\" data-block=\"46f6c259-c1e5-4af4-9215-d3a06e5a531b\" style=\"--qpu-reflected-hue: 151; --qpu-drift: 58; --qpu-dust: 2 29; --qpu-drift-angle: 1.012291; --qpu-hue: 209; --qpu-c: 0.758; --qpu-m: 0.331; --qpu-y: 0.956; --qpu-k: 0.130; --qpu-accent: rgb(54 148 10); --qpu-tail: rgb(211 160 110); --qpu-angle: 291; --qpu-vortex: 3; --qpu-reflection: 7; --qpu-trinity: 3; --qpu-period: 1296ms; --block-accent: rgb(54 148 10); display: block; border-left: 3px solid var(--qpu-accent); padding: 4px 8px; border-radius: var(--radius); background: var(--surface-1); color: var(--text-primary); text-decoration: none; font-size: var(--font-size-footnote);\" title=\"46f6c259-c1e5-4af4-9215-d3a06e5a531b\">▸ name=&quot;shor&quot; N=3</a><a href=\"/u/3fa89559-be25-253d-896a-c77628703efa\" data-block=\"3fa89559-be25-253d-896a-c77628703efa\" style=\"--qpu-reflected-hue: 191; --qpu-drift: 22; --qpu-dust: 2 11; --qpu-drift-angle: 0.383972; --qpu-hue: 169; --qpu-c: 0.743; --qpu-m: 0.322; --qpu-y: 0.240; --qpu-k: 0.589; --qpu-accent: rgb(27 71 80); --qpu-tail: rgb(199 118 40); --qpu-angle: 226; --qpu-vortex: 1; --qpu-reflection: 9; --qpu-trinity: 7; --qpu-period: 432ms; --block-accent: rgb(27 71 80); display: block; border-left: 3px solid var(--qpu-accent); padding: 4px 8px; border-radius: var(--radius); background: var(--surface-1); color: var(--text-primary); text-decoration: none; font-size: var(--font-size-footnote);\" title=\"3fa89559-be25-253d-896a-c77628703efa\">▸ name=&quot;shor&quot; N=4</a><a href=\"/u/35016c59-b78c-4608-b436-29f0999b1c81\" data-block=\"35016c59-b78c-4608-b436-29f0999b1c81\" style=\"--qpu-reflected-hue: 319; --qpu-drift: 278; --qpu-dust: 2 139; --qpu-drift-angle: 4.852015; --qpu-hue: 41; --qpu-c: 0.717; --qpu-m: 0.767; --qpu-y: 0.034; --qpu-k: 0.263; --qpu-accent: rgb(53 44 181); --qpu-tail: rgb(41 240 153); --qpu-angle: 161; --qpu-vortex: 8; --qpu-reflection: 2; --qpu-trinity: 2; --qpu-period: 3456ms; --block-accent: rgb(53 44 181); display: block; border-left: 3px solid var(--qpu-accent); padding: 4px 8px; border-radius: var(--radius); background: var(--surface-1); color: var(--text-primary); text-decoration: none; font-size: var(--font-size-footnote);\" title=\"35016c59-b78c-4608-b436-29f0999b1c81\">▸ name=&quot;shor&quot; N=5</a><a href=\"/u/2db24759-b3ca-55fa-b4d6-7611b4df5d28\" data-block=\"2db24759-b3ca-55fa-b4d6-7611b4df5d28\" style=\"--qpu-reflected-hue: 127; --qpu-drift: 106; --qpu-dust: 2 53; --qpu-drift-angle: 1.850049; --qpu-hue: 233; --qpu-c: 0.702; --qpu-m: 0.646; --qpu-y: 0.979; --qpu-k: 0.302; --qpu-accent: rgb(53 63 4); --qpu-tail: rgb(118 17 180); --qpu-angle: 176; --qpu-vortex: 5; --qpu-reflection: 5; --qpu-trinity: 2; --qpu-period: 2160ms; --block-accent: rgb(53 63 4); display: block; border-left: 3px solid var(--qpu-accent); padding: 4px 8px; border-radius: var(--radius); background: var(--surface-1); color: var(--text-primary); text-decoration: none; font-size: var(--font-size-footnote);\" title=\"2db24759-b3ca-55fa-b4d6-7611b4df5d28\">▸ name=&quot;shor&quot; N=6</a><a href=\"/u/22f01e59-ad1a-5a49-a9e8-a020c075fc57\" data-block=\"22f01e59-ad1a-5a49-a9e8-a020c075fc57\" style=\"--qpu-reflected-hue: 327; --qpu-drift: 294; --qpu-dust: 2 3 7 7; --qpu-drift-angle: 5.131268; --qpu-hue: 33; --qpu-c: 0.676; --qpu-m: 0.647; --qpu-y: 0.288; --qpu-k: 0.619; --qpu-accent: rgb(31 34 69); --qpu-tail: rgb(160 32 192); --qpu-angle: 15; --qpu-vortex: 6; --qpu-reflection: 4; --qpu-trinity: 3; --qpu-period: 2592ms; --block-accent: rgb(31 34 69); display: block; border-left: 3px solid var(--qpu-accent); padding: 4px 8px; border-radius: var(--radius); background: var(--surface-1); color: var(--text-primary); text-decoration: none; font-size: var(--font-size-footnote);\" title=\"22f01e59-ad1a-5a49-a9e8-a020c075fc57\">▸ name=&quot;shor&quot; N=7</a><a href=\"/u/a4f28159-f6c3-887d-a4f9-fd4b849d8196\" data-block=\"a4f28159-f6c3-887d-a4f9-fd4b849d8196\" style=\"--qpu-reflected-hue: 111; --qpu-drift: 138; --qpu-dust: 2 3 23; --qpu-drift-angle: 2.408554; --qpu-hue: 249; --qpu-c: 0.964; --qpu-m: 0.221; --qpu-y: 0.491; --qpu-k: 0.311; --qpu-accent: rgb(6 137 89); --qpu-tail: rgb(253 75 132); --qpu-angle: 206; --qpu-vortex: 8; --qpu-reflection: 2; --qpu-trinity: 2; --qpu-period: 3456ms; --block-accent: rgb(6 137 89); display: block; border-left: 3px solid var(--qpu-accent); padding: 4px 8px; border-radius: var(--radius); background: var(--surface-1); color: var(--text-primary); text-decoration: none; font-size: var(--font-size-footnote);\" title=\"a4f28159-f6c3-887d-a4f9-fd4b849d8196\">▸ name=&quot;shor&quot; N=8</a><a href=\"/u/9db15859-f30d-5bd8-bec3-9af7fec06d4d\" data-block=\"9db15859-f30d-5bd8-bec3-9af7fec06d4d\" style=\"--qpu-reflected-hue: 359; --qpu-drift: 358; --qpu-dust: 2 179; --qpu-drift-angle: 6.248279; --qpu-hue: 1; --qpu-c: 0.949; --qpu-m: 0.835; --qpu-y: 0.847; --qpu-k: 0.923; --qpu-accent: rgb(1 3 3); --qpu-tail: rgb(154 247 254); --qpu-angle: 253; --qpu-vortex: 1; --qpu-reflection: 9; --qpu-trinity: 7; --qpu-period: 432ms; --block-accent: rgb(1 3 3); display: block; border-left: 3px solid var(--qpu-accent); padding: 4px 8px; border-radius: var(--radius); background: var(--surface-1); color: var(--text-primary); text-decoration: none; font-size: var(--font-size-footnote);\" title=\"9db15859-f30d-5bd8-bec3-9af7fec06d4d\">▸ name=&quot;shor&quot; N=9</a><a href=\"/u/0781c094-c0c5-13cc-9b5a-7c375142cc41\" data-block=\"0781c094-c0c5-13cc-9b5a-7c375142cc41\" style=\"--qpu-reflected-hue: 244; --qpu-drift: 128; --qpu-dust: 2 2 2 2 2 2 2; --qpu-drift-angle: 2.234021; --qpu-hue: 116; --qpu-c: 0.753; --qpu-m: 0.317; --qpu-y: 0.799; --qpu-k: 0.710; --qpu-accent: rgb(18 51 15); --qpu-tail: rgb(124 55 81); --qpu-angle: 145; --qpu-vortex: 1; --qpu-reflection: 9; --qpu-trinity: 7; --qpu-period: 432ms; --block-accent: rgb(18 51 15); display: block; border-left: 3px solid var(--qpu-accent); padding: 4px 8px; border-radius: var(--radius); background: var(--surface-1); color: var(--text-primary); text-decoration: none; font-size: var(--font-size-footnote);\" title=\"0781c094-c0c5-13cc-9b5a-7c375142cc41\">▸ name=&quot;shor&quot; N=10</a><a href=\"/u/0ec2e994-c47b-6071-84f7-ee8ada04d7ba\" data-block=\"0ec2e994-c47b-6071-84f7-ee8ada04d7ba\" style=\"--qpu-reflected-hue: 356; --qpu-drift: 352; --qpu-dust: 2 2 2 2 2 11; --qpu-drift-angle: 6.143559; --qpu-hue: 4; --qpu-c: 0.768; --qpu-m: 0.711; --qpu-y: 0.443; --qpu-k: 0.310; --qpu-accent: rgb(41 51 98); --qpu-tail: rgb(238 138 218); --qpu-angle: 234; --qpu-vortex: 9; --qpu-reflection: 1; --qpu-trinity: 3; --qpu-period: 3888ms; --block-accent: rgb(41 51 98); display: block; border-left: 3px solid var(--qpu-accent); padding: 4px 8px; border-radius: var(--radius); background: var(--surface-1); color: var(--text-primary); text-decoration: none; font-size: var(--font-size-footnote);\" title=\"0ec2e994-c47b-6071-84f7-ee8ada04d7ba\">▸ name=&quot;shor&quot; N=11</a><a href=\"/u/f5707294-b653-680d-b899-fac298bc1117\" data-block=\"f5707294-b653-680d-b899-fac298bc1117\" style=\"--qpu-reflected-hue: 356; --qpu-drift: 352; --qpu-dust: 2 2 2 2 2 11; --qpu-drift-angle: 6.143559; --qpu-hue: 4; --qpu-c: 0.712; --qpu-m: 0.213; --qpu-y: 0.053; --qpu-k: 0.537; --qpu-accent: rgb(34 93 112); --qpu-tail: rgb(250 194 152); --qpu-angle: 359; --qpu-vortex: 8; --qpu-reflection: 2; --qpu-trinity: 2; --qpu-period: 3456ms; --block-accent: rgb(34 93 112); display: block; border-left: 3px solid var(--qpu-accent); padding: 4px 8px; border-radius: var(--radius); background: var(--surface-1); color: var(--text-primary); text-decoration: none; font-size: var(--font-size-footnote);\" title=\"f5707294-b653-680d-b899-fac298bc1117\">▸ name=&quot;shor&quot; N=12</a><a href=\"/u/fccc9b94-ba20-812e-88c1-c7a89ddd03e8\" data-block=\"fccc9b94-ba20-812e-88c1-c7a89ddd03e8\" style=\"--qpu-reflected-hue: 36; --qpu-drift: 288; --qpu-dust: 2 2 2 2 2 3 3; --qpu-drift-angle: 5.026548; --qpu-hue: 324; --qpu-c: 0.727; --qpu-m: 0.032; --qpu-y: 0.182; --qpu-k: 0.547; --qpu-accent: rgb(31 112 94); --qpu-tail: rgb(199 168 157); --qpu-angle: 80; --qpu-vortex: 8; --qpu-reflection: 2; --qpu-trinity: 2; --qpu-period: 3456ms; --block-accent: rgb(31 112 94); display: block; border-left: 3px solid var(--qpu-accent); padding: 4px 8px; border-radius: var(--radius); background: var(--surface-1); color: var(--text-primary); text-decoration: none; font-size: var(--font-size-footnote);\" title=\"fccc9b94-ba20-812e-88c1-c7a89ddd03e8\">▸ name=&quot;shor&quot; N=13</a><a href=\"/u/28236494-d2ae-3d17-ac8b-ae910fbfdd65\" data-block=\"28236494-d2ae-3d17-ac8b-ae910fbfdd65\" style=\"--qpu-reflected-hue: 292; --qpu-drift: 224; --qpu-dust: 2 2 2 2 2 7; --qpu-drift-angle: 3.909538; --qpu-hue: 68; --qpu-c: 0.823; --qpu-m: 0.890; --qpu-y: 0.092; --qpu-k: 0.784; --qpu-accent: rgb(10 6 50); --qpu-tail: rgb(174 145 15); --qpu-angle: 157; --qpu-vortex: 4; --qpu-reflection: 6; --qpu-trinity: 7; --qpu-period: 1728ms; --block-accent: rgb(10 6 50); display: block; border-left: 3px solid var(--qpu-accent); padding: 4px 8px; border-radius: var(--radius); background: var(--surface-1); color: var(--text-primary); text-decoration: none; font-size: var(--font-size-footnote);\" title=\"28236494-d2ae-3d17-ac8b-ae910fbfdd65\">▸ name=&quot;shor&quot; N=14</a><a href=\"/u/32ca8d94-d947-2c4b-a83e-abd481d94d8e\" data-block=\"32ca8d94-d947-2c4b-a83e-abd481d94d8e\" style=\"--qpu-reflected-hue: 164; --qpu-drift: 32; --qpu-dust: 2 2 2 2 2; --qpu-drift-angle: 0.558505; --qpu-hue: 196; --qpu-c: 0.849; --qpu-m: 0.448; --qpu-y: 0.295; --qpu-k: 0.515; --qpu-accent: rgb(19 68 87); --qpu-tail: rgb(171 212 129); --qpu-angle: 318; --qpu-vortex: 3; --qpu-reflection: 7; --qpu-trinity: 3; --qpu-period: 1296ms; --block-accent: rgb(19 68 87); display: block; border-left: 3px solid var(--qpu-accent); padding: 4px 8px; border-radius: var(--radius); background: var(--surface-1); color: var(--text-primary); text-decoration: none; font-size: var(--font-size-footnote);\" title=\"32ca8d94-d947-2c4b-a83e-abd481d94d8e\">▸ name=&quot;shor&quot; N=15</a><a href=\"/u/16121694-c83d-7158-9cb7-8506f0dceadb\" data-block=\"16121694-c83d-7158-9cb7-8506f0dceadb\" style=\"--qpu-reflected-hue: 300; --qpu-drift: 240; --qpu-dust: 2 2 2 2 3 5; --qpu-drift-angle: 4.188790; --qpu-hue: 60; --qpu-c: 0.782; --qpu-m: 0.840; --qpu-y: 0.346; --qpu-k: 0.795; --qpu-accent: rgb(11 8 34); --qpu-tail: rgb(133 6 240); --qpu-angle: 227; --qpu-vortex: 2; --qpu-reflection: 8; --qpu-trinity: 2; --qpu-period: 864ms; --block-accent: rgb(11 8 34); display: block; border-left: 3px solid var(--qpu-accent); padding: 4px 8px; border-radius: var(--radius); background: var(--surface-1); color: var(--text-primary); text-decoration: none; font-size: var(--font-size-footnote);\" title=\"16121694-c83d-7158-9cb7-8506f0dceadb\">▸ name=&quot;shor&quot; N=16</a><a href=\"/u/20d43f94-ceec-7d09-bd65-430e843172cc\" data-block=\"20d43f94-ceec-7d09-bd65-430e843172cc\" style=\"--qpu-reflected-hue: 100; --qpu-drift: 160; --qpu-dust: 2 2 2 2 2 5; --qpu-drift-angle: 2.792527; --qpu-hue: 260; --qpu-c: 0.808; --qpu-m: 0.781; --qpu-y: 0.038; --qpu-k: 0.837; --qpu-accent: rgb(8 9 40); --qpu-tail: rgb(67 14 132); --qpu-angle: 220; --qpu-vortex: 4; --qpu-reflection: 6; --qpu-trinity: 7; --qpu-period: 1728ms; --block-accent: rgb(8 9 40); display: block; border-left: 3px solid var(--qpu-accent); padding: 4px 8px; border-radius: var(--radius); background: var(--surface-1); color: var(--text-primary); text-decoration: none; font-size: var(--font-size-footnote);\" title=\"20d43f94-ceec-7d09-bd65-430e843172cc\">▸ name=&quot;shor&quot; N=17</a><a href=\"/u/4c2b0894-e77b-18f1-b8d6-b2a1ffc4d129\" data-block=\"4c2b0894-e77b-18f1-b8d6-b2a1ffc4d129\" style=\"--qpu-reflected-hue: 100; --qpu-drift: 160; --qpu-dust: 2 2 2 2 2 5; --qpu-drift-angle: 2.792527; --qpu-hue: 260; --qpu-c: 0.904; --qpu-m: 0.694; --qpu-y: 0.944; --qpu-k: 0.552; --qpu-accent: rgb(11 35 6); --qpu-tail: rgb(178 161 255); --qpu-angle: 65; --qpu-vortex: 2; --qpu-reflection: 8; --qpu-trinity: 2; --qpu-period: 864ms; --block-accent: rgb(11 35 6); display: block; border-left: 3px solid var(--qpu-accent); padding: 4px 8px; border-radius: var(--radius); background: var(--surface-1); color: var(--text-primary); text-decoration: none; font-size: var(--font-size-footnote);\" title=\"4c2b0894-e77b-18f1-b8d6-b2a1ffc4d129\">▸ name=&quot;shor&quot; N=18</a><a href=\"/u/536c3194-eb31-6596-a462-1c9f4fe722a2\" data-block=\"536c3194-eb31-6596-a462-1c9f4fe722a2\" style=\"--qpu-reflected-hue: 212; --qpu-drift: 64; --qpu-dust: 2 2 2 2 2 2; --qpu-drift-angle: 1.117011; --qpu-hue: 148; --qpu-c: 0.919; --qpu-m: 0.087; --qpu-y: 0.589; --qpu-k: 0.274; --qpu-accent: rgb(15 169 76); --qpu-tail: rgb(28 159 79); --qpu-angle: 18; --qpu-vortex: 9; --qpu-reflection: 1; --qpu-trinity: 3; --qpu-period: 3888ms; --block-accent: rgb(15 169 76); display: block; border-left: 3px solid var(--qpu-accent); padding: 4px 8px; border-radius: var(--radius); background: var(--surface-1); color: var(--text-primary); text-decoration: none; font-size: var(--font-size-footnote);\" title=\"536c3194-eb31-6596-a462-1c9f4fe722a2\">▸ name=&quot;shor&quot; N=19</a><a href=\"/u/652a6a8c-688d-5fdd-9f42-886087f5c796\" data-block=\"652a6a8c-688d-5fdd-9f42-886087f5c796\" style=\"--qpu-reflected-hue: 76; --qpu-drift: 208; --qpu-dust: 2 2 2 2 13; --qpu-drift-angle: 3.630285; --qpu-hue: 284; --qpu-c: 0.408; --qpu-m: 0.836; --qpu-y: 0.866; --qpu-k: 0.954; --qpu-accent: rgb(7 2 2); --qpu-tail: rgb(136 96 135); --qpu-angle: 46; --qpu-vortex: 1; --qpu-reflection: 9; --qpu-trinity: 7; --qpu-period: 432ms; --block-accent: rgb(7 2 2); display: block; border-left: 3px solid var(--qpu-accent); padding: 4px 8px; border-radius: var(--radius); background: var(--surface-1); color: var(--text-primary); text-decoration: none; font-size: var(--font-size-footnote);\" title=\"652a6a8c-688d-5fdd-9f42-886087f5c796\">▸ name=&quot;shor&quot; N=20</a><a href=\"/u/5de9418c-64d8-2338-b90c-260d0218b34d\" data-block=\"5de9418c-64d8-2338-b90c-260d0218b34d\" style=\"--qpu-reflected-hue: 324; --qpu-drift: 288; --qpu-dust: 2 2 2 2 2 3 3; --qpu-drift-angle: 5.026548; --qpu-hue: 36; --qpu-c: 0.394; --qpu-m: 0.509; --qpu-y: 0.221; --qpu-k: 0.566; --qpu-accent: rgb(67 54 86); --qpu-tail: rgb(38 13 2); --qpu-angle: 93; --qpu-vortex: 3; --qpu-reflection: 7; --qpu-trinity: 3; --qpu-period: 1296ms; --block-accent: rgb(67 54 86); display: block; border-left: 3px solid var(--qpu-accent); padding: 4px 8px; border-radius: var(--radius); background: var(--surface-1); color: var(--text-primary); text-decoration: none; font-size: var(--font-size-footnote);\" title=\"5de9418c-64d8-2338-b90c-260d0218b34d\">▸ name=&quot;shor&quot; N=21</a></div></div>"
}

dashboard · dashboard-index

Every tool with the size of its input space: how many combinations its enumerable facets admit, which properties stay free, and the address of its own dashboard.

{"name":"dashboard","arguments":{}}

✓ as expected

dashboard · A bounded tool laid out whole, so the user's decision in the UI is final: every value each property admits (an enum, a boolean, an integer range, the ends of a numeric bound, the textbook's values where a string is free), the whole space reachable by fixing one facet at a time (each cell narrows the dashboard until one combination remains, whose cell is its walk page /u/<uuid>), every cell drawn by its own UUID's CSS. Without a tool: every tool with the size of its space.

41 tools, each laid out whole

processor: 3 combination(s), space 3circuit: 144 combination(s), space unboundedecho: 1 combination(s), space 1echo_benchmark: 1 combination(s), space 1roadmap: 6 combination(s), space 6algorithm: 280896 combination(s), space unboundedsoftware: 1 combination(s), space 1statements: 42 combination(s), space 42repositories: 1 combination(s), space unboundedquantumlib: 1 combination(s), space 1quantum-error-correction: 72 combination(s), space unboundedchemistry-simulation: 1 combination(s), space unboundedfault-tolerant-design: 8778 combination(s), space unboundedleads: 5 combination(s), space 5audit: 1 combination(s), space 1match: 77 combination(s), space 77clay: 1 combination(s), space unboundedverify: 3 combination(s), space unboundedmetrics: 1 combination(s), space unboundedtextbook: 8 combination(s), space unboundedcss: 1 combination(s), space 1dashboard: 2 combination(s), space unboundedclone: 1 combination(s), space 1discover: 1 combination(s), space unboundedwave: 1 combination(s), space unboundedreadiness: 1 combination(s), space unboundedimagine: 1 combination(s), space unboundede2e: 1 combination(s), space unboundedtranslate: 121 combination(s), space 121prose: 11 combination(s), space 11mongo: 8 combination(s), space unboundedstripe: 12 combination(s), space unboundedlegal: 1 combination(s), space unboundedrepository: 2 combination(s), space unboundedjsonld: 44 combination(s), space unboundedcodes: 1 combination(s), space unboundedpayload: 4 combination(s), space unboundedconfigure: 9 combination(s), space unboundedextend: 3 combination(s), space 3fold: 2 combination(s), space unboundedseal: 1 combination(s), space 1

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "tools": 41,
  "index": [
    {
      "tool": "processor",
      "toolbox": "google",
      "facets": 1,
      "enumerable": 1,
      "free": [],
      "combinations": 3,
      "space": 3,
      "dashboard": "/u/94f87633-ecc2-61e4-af84-f06b4b5e262a"
    },
    {
      "tool": "circuit",
      "toolbox": "google",
      "facets": 8,
      "enumerable": 7,
      "free": [
        "observables"
      ],
      "combinations": 144,
      "space": "unbounded",
      "dashboard": "/u/5f0c2060-139c-5f07-b9af-53e8dfbec465"
    },
    {
      "tool": "echo",
      "toolbox": "google",
      "facets": 2,
      "enumerable": 2,
      "free": [],
      "combinations": 1,
      "space": 1,
      "dashboard": "/u/bee01cef-4fdb-431e-8fc5-e8b836cb407b"
    },
    {
      "tool": "echo_benchmark",
      "toolbox": "google",
      "facets": 0,
      "enumerable": 0,
      "free": [],
      "combinations": 1,
      "space": 1,
      "dashboard": "/u/e0146444-3658-38c3-a52d-824722bb39cb"
    },
    {
      "tool": "roadmap",
      "toolbox": "google",
      "facets": 1,
      "enumerable": 1,
      "free": [],
      "combinations": 6,
      "space": 6,
      "dashboard": "/u/07c0f626-3b9d-69ca-b582-29075d3c13ca"
    },
    {
      "tool": "algorithm",
      "toolbox": "google",
      "facets": 13,
      "enumerable": 10,
      "free": [
        "weights",
        "alpha",
        "beta"
      ],
      "combinations": 280896,
      "space": "unbounded",
      "dashboard": "/u/3c5f4011-b3ec-344d-ac8b-d9ffbb57b517"
    },
    {
      "tool": "software",
      "toolbox": "google",
      "facets": 0,
      "enumerable": 0,
      "free": [],
      "combinations": 1,
      "space": 1,
      "dashboard": "/u/796e3bb9-6c93-7517-bf76-11e21e5b9093"
    },
    {
      "tool": "statements",
      "toolbox": "google",
      "facets": 1,
      "enumerable": 1,
      "free": [],
      "combinations": 42,
      "space": 42,
      "dashboard": "/u/698961b9-3661-616c-89b8-00c2ebce8314"
    },
    {
      "tool": "repositories",
      "toolbox": "google",
      "facets": 1,
      "enumerable": 0,
      "free": [
        "language"
      ],
      "combinations": 1,
      "space": "unbounded",
      "dashboard": "/u/f6076643-bea2-1810-b3da-9b57f50a2f06"
    },
    {
      "tool": "quantumlib",
      "toolbox": "google",
      "facets": 1,
      "enumerable": 1,
      "free": [],
      "combinations": 1,
      "space": 1,
      "dashboard": "/u/a029c9a0-2ca8-18e1-ba34-91ff4d59d552"
    },
    {
      "tool": "quantum-error-correction",
      "toolbox": "google",
      "facets": 5,
      "enumerable": 4,
      "free": [
        "sweep"
      ],
      "combinations": 72,
      "space": "unbounded",
      "dashboard": "/u/acc0784b-0824-263d-adb0-016f12d09c17"
    },
    {
      "tool": "chemistry-simulation",
      "toolbox": "google",
      "facets": 3,
      "enumerable": 0,
      "free": [
        "bond_length",
        "theta",
        "steps"
      ],
      "combinations": 1,
      "space": "unbounded",
      "dashboard": "/u/13a0379e-4ed5-3af7-8664-6da93dc9beb8"
    },
    {
      "tool": "fault-tolerant-design",
      "toolbox": "google",
      "facets": 5,
      "enumerable": 4,
      "free": [
        "a"
      ],
      "combinations": 8778,
      "space": "unbounded",
      "dashboard": "/u/e8ea15d4-9351-23ab-9138-97e2cd917289"
    },
    {
      "tool": "leads",
      "toolbox": "tree",
      "facets": 1,
      "enumerable": 1,
      "free": [],
      "combinations": 5,
      "space": 5,
      "dashboard": "/u/26065f1d-1b2d-5322-a859-b8919d8e0fe1"
    },
    {
      "tool": "audit",
      "toolbox": "tree",
      "facets": 0,
      "enumerable": 0,
      "free": [],
      "combinations": 1,
      "space": 1,
      "dashboard": "/u/a162f85e-f9bc-88c7-af32-f0d46b708065"
    },
    {
      "tool": "match",
      "toolbox": "tree",
      "facets": 2,
      "enumerable": 2,
      "free": [],
      "combinations": 77,
      "space": 77,
      "dashboard": "/u/2956a323-ec10-2edd-989d-0111059fc92b"
    },
    {
      "tool": "clay",
      "toolbox": "tree",
      "facets": 3,
      "enumerable": 2,
      "free": [
        "unit"
      ],
      "combinations": 1,
      "space": "unbounded",
      "dashboard": "/u/33013e27-8f90-3155-baa2-fd21b9cbc8df"
    },
    {
      "tool": "verify",
      "toolbox": "tree",
      "facets": 5,
      "enumerable": 2,
      "free": [
        "prev",
        "self",
        "next"
      ],
      "combinations": 3,
      "space": "unbounded",
      "dashboard": "/u/e27c7e25-525a-6e18-bfd9-54104e4d3023"
    },
    {
      "tool": "metrics",
      "toolbox": "tree",
      "facets": 1,
      "enumerable": 0,
      "free": [
        "artefacts"
      ],
      "combinations": 1,
      "space": "unbounded",
      "dashboard": "/u/6549263e-1274-1fc0-9300-592fa30e1047"
    },
    {
      "tool": "textbook",
      "toolbox": "tree",
      "facets": 5,
      "enumerable": 3,
      "free": [
        "example",
        "results"
      ],
      "combinations": 8,
      "space": "unbounded",
      "dashboard": "/u/ac814b18-c9a7-2522-a6d6-950741205ba8"
    },
    {
      "tool": "css",
      "toolbox": "tree",
      "facets": 1,
      "enumerable": 1,
      "free": [],
      "combinations": 1,
      "space": 1,
      "dashboard": "/u/10ff91df-b000-3ad3-a96e-044f39e65471"
    },
    {
      "tool": "dashboard",
      "toolbox": "tree",
      "facets": 3,
      "enumerable": 2,
      "free": [
        "origin"
      ],
      "combinations": 2,
      "space": "unbounded",
      "dashboard": "/u/080ab4a9-b673-5dc4-877f-77356b9b61c6"
    },
    {
      "tool": "clone",
      "toolbox": "tree",
      "facets": 2,
      "enumerable": 2,
      "free": [],
      "combinations": 1,
      "space": 1,
      "dashboard": "/u/6e6021d9-fce8-23eb-be93-86c9e1c94b7f"
    },
    {
      "tool": "discover",
      "toolbox": "flow",
      "facets": 5,
      "enumerable": 2,
      "free": [
        "statement",
        "auth",
        "answers"
      ],
      "combinations": 1,
      "space": "unbounded",
      "dashboard": "/u/df6bb820-8d4a-395e-a523-871ddc043bed"
    },
    {
      "tool": "wave",
      "toolbox": "flow",
      "facets": 3,
      "enumerable": 1,
      "free": [
        "results",
        "contracts"
      ],
      "combinations": 1,
      "space": "unbounded",
      "dashboard": "/u/bae18a2c-1018-219f-be3e-b74edd7bfb0b"
    },
    {
      "tool": "readiness",
      "toolbox": "flow",
      "facets": 7,
      "enumerable": 0,
      "free": [
        "verification",
        "discovery",
        "present",
        "ledger",
        "probeKey",
        "border",
        "unit"
      ],
      "combinations": 1,
      "space": "unbounded",
      "dashboard": "/u/716eeb57-d6b1-7cbf-bd7f-35ea228ba072"
    },
    {
      "tool": "imagine",
      "toolbox": "flow",
      "facets": 2,
      "enumerable": 1,
      "free": [
        "statements"
      ],
      "combinations": 1,
      "space": "unbounded",
      "dashboard": "/u/7247da30-eae6-2210-b1ce-99ae4a48806a"
    },
    {
      "tool": "e2e",
      "toolbox": "flow",
      "facets": 3,
      "enumerable": 2,
      "free": [
        "answers"
      ],
      "combinations": 1,
      "space": "unbounded",
      "dashboard": "/u/95121627-8f97-59a2-9b1a-a0cd70ae879c"
    },
    {
      "tool": "translate",
      "toolbox": "language",
      "facets": 3,
      "enumerable": 3,
      "free": [],
      "combinations": 121,
      "space": 121,
      "dashboard": "/u/e1787263-0433-8183-9c48-11967de1192c"
    },
    {
      "tool": "prose",
      "toolbox": "language",
      "facets": 3,
      "enumerable": 3,
      "free": [],
      "combinations": 11,
      "space": 11,
      "dashboard": "/u/4d4ccbcf-8112-467f-8a87-4a4c4cf5bc49"
    },
    {
      "tool": "mongo",
      "toolbox": "raid",
      "facets": 8,
      "enumerable": 6,
      "free": [
        "skip",
        "limit"
      ],
      "combinations": 8,
      "space": "unbounded",
      "dashboard": "/u/c5f8c4b7-0712-7bf2-b1b8-dbd73d7fc24a"
    },
    {
      "tool": "stripe",
      "toolbox": "billing",
      "facets": 15,
      "enumerable": 9,
      "free": [
        "from",
        "to",
        "transactions",
        "entries",
        "subject",
        "domain"
      ],
      "combinations": 12,
      "space": "unbounded",
      "dashboard": "/u/8b45de2a-b309-4c04-adda-d9729faa6e63"
    },
    {
      "tool": "legal",
      "toolbox": "legal",
      "facets": 6,
      "enumerable": 3,
      "free": [
        "agents",
        "theoremKeys",
        "citeTheorem"
      ],
      "combinations": 1,
      "space": "unbounded",
      "dashboard": "/u/f59b57ef-fd77-35af-86f5-695f94f7740b"
    },
    {
      "tool": "repository",
      "toolbox": "repository",
      "facets": 4,
      "enumerable": 3,
      "free": [
        "contracts"
      ],
      "combinations": 2,
      "space": "unbounded",
      "dashboard": "/u/4a1f6ec3-38e2-53b3-8a9d-29df9d8ec636"
    },
    {
      "tool": "jsonld",
      "toolbox": "standards",
      "facets": 11,
      "enumerable": 6,
      "free": [
        "url",
        "title",
        "uuid",
        "product",
        "variant"
      ],
      "combinations": 44,
      "space": "unbounded",
      "dashboard": "/u/da4e4046-5523-6c6d-a58c-577b065b2558"
    },
    {
      "tool": "codes",
      "toolbox": "standards",
      "facets": 2,
      "enumerable": 0,
      "free": [
        "cldr",
        "territories"
      ],
      "combinations": 1,
      "space": "unbounded",
      "dashboard": "/u/c09b7986-db2a-7ad1-bc61-ae2f42da1f90"
    },
    {
      "tool": "payload",
      "toolbox": "payload",
      "facets": 12,
      "enumerable": 10,
      "free": [
        "chain",
        "origin"
      ],
      "combinations": 4,
      "space": "unbounded",
      "dashboard": "/u/2f2100bd-2fae-5d04-aca6-5d5ead15d094"
    },
    {
      "tool": "configure",
      "toolbox": "payload",
      "facets": 6,
      "enumerable": 4,
      "free": [
        "version",
        "description"
      ],
      "combinations": 9,
      "space": "unbounded",
      "dashboard": "/u/34818d3d-714a-867c-84aa-f293f4a3bb5e"
    },
    {
      "tool": "extend",
      "toolbox": "extension",
      "facets": 5,
      "enumerable": 5,
      "free": [],
      "combinations": 3,
      "space": 3,
      "dashboard": "/u/8eedd52e-b673-29fe-b338-f6bbb2afd522"
    },
    {
      "tool": "fold",
      "toolbox": "crypto",
      "facets": 6,
      "enumerable": 4,
      "free": [
        "pieces",
        "root"
      ],
      "combinations": 2,
      "space": "unbounded",
      "dashboard": "/u/a34cb73e-382c-4710-947c-28bce2d8f3d9"
    },
    {
      "tool": "seal",
      "toolbox": "crypto",
      "facets": 2,
      "enumerable": 2,
      "free": [],
      "combinations": 1,
      "space": 1,
      "dashboard": "/u/5249d0f2-5318-6637-ac84-47a223dd2b77"
    }
  ]
}

clone · clone-language

The language toolbox cloned whole under a new name: its two tools with their schemas, its instructions, directions and examples, its selftest run now; the quantum state is never cloned, its classical description is.

{"name":"clone","arguments":{"toolbox":"language","as":"language-of-another-world"}}

✓ as expected

clone · A toolbox cloned whole: its toolset (every tool's name, description and schema), its skillset (idea, instructions, directions, examples with what they show), and its selftest run now, as one document another host mounts or a client follows door by door. The quantum state of a computation is never cloned (all_noclone); its classical description is, and this is it. Without a toolbox: every toolbox's clone address.

toolbox

language

as

language-of-another-world

tools

2

examples

3

selftestPassed

true

bytes

3068

id

078827e1-75c6-859d-93f0-2714f15c095f

noCloning

the quantum state of a computation cannot be cloned (all_noclone: coins ≠ mintOf coins, kernel-checked); its classical description can, and this document is that description

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "toolbox": "language",
  "as": "language-of-another-world",
  "tools": 2,
  "examples": 3,
  "selftestPassed": true,
  "bytes": 3068,
  "id": "078827e1-75c6-859d-93f0-2714f15c095f",
  "noCloning": "the quantum state of a computation cannot be cloned (all_noclone: coins ≠ mintOf coins, kernel-checked); its classical description can, and this document is that description",
  "doc": {
    "name": "language-of-another-world",
    "clonedFrom": "language",
    "idea": "any language and dialect, offline and token-free: translation by vocabulary both ways, the vocabulary measured against every term the surface emits, and prose programmed from a tool's result and its toolbox's skill",
    "toolset": [
      {
        "name": "translate",
        "description": "Translation by vocabulary, offline, both ways: text, from, to. A word no table knows stays as it is and is reported, never guessed; Glagolitic numerals are read as integers. Without text: the vocabulary measured — for every locale, the surface terms with no entry (the leads of the tables).",
        "inputSchema": {
          "type": "object",
          "properties": {
            "text": {
              "type": "string"
            },
            "from": {
              "type": "string",
              "enum": [
                "en",
                "bg",
                "de",
                "fr",
                "es",
                "it",
                "ru",
                "zh",
                "ja",
                "pt",
                "nl"
              ]
            },
            "to": {
              "type": "string",
              "enum": [
                "en",
                "bg",
                "de",
                "fr",
                "es",
                "it",
                "ru",
                "zh",
                "ja",
                "pt",
                "nl"
              ]
            },
            "selftest": {
              "type": "boolean"
            }
          }
        }
      },
      {
        "name": "prose",
        "description": "Programmable prose: call a tool with its arguments and render its result as sentences in a locale — the toolbox's idea, the tool's scalar answers, the toolbox's instructions — every word from the vocabulary, every number from the tool, every unknown word reported.",
        "inputSchema": {
          "type": "object",
          "required": [
            "tool"
          ],
          "properties": {
            "tool": {
              "type": "string"
            },
            "arguments": {
              "type": "object"
            },
            "locale": {
              "type": "string",
              "enum": [
                "en",
                "bg",
                "de",
                "fr",
                "es",
                "it",
                "ru",
                "zh",
                "ja",
                "pt",
                "nl"
              ]
            },
            "selftest": {
              "type": "boolean"
            }
          }
        }
      }
    ],
    "skillset": {
      "instructions": "translate takes text, from and to and answers by vocabulary; call it without text to measure the tables and get the missing terms per locale, which are the leads to fill (from the unit's vocabulary door where discovery finds one, or by a person). prose takes a tool, its arguments and a locale and renders the answer as sentences; feed its untranslated words back as vocabulary leads.",
      "directions": [
        "server only: every table reads both ways (en→locale→en returns the term)",
        "toolbox → toolbox: prose renders the tree and flow toolboxes' answers; numerals read by the match toolbox's reader",
        "client → server: the coverage phase hands the client the missing terms to fill"
      ],
      "examples": [
        {
          "id": "translate-bg",
          "tool": "translate",
          "arguments": {
            "text": "The lead is served; the verdict is unknown",
            "from": "en",
            "to": "bg"
          },
          "shows": "English to Bulgarian by vocabulary: the labels and verdicts translate; a word with no entry stays and is reported.",
          "theorem": null
        },
        {
          "id": "translate-coverage",
          "tool": "translate",
          "arguments": {},
          "shows": "The vocabulary measured: for every locale, which surface terms have no entry — the leads of the tables, updated from measurement.",
          "theorem": null
        },
        {
          "id": "prose-clay-bg",
          "tool": "prose",
          "arguments": {
            "tool": "clay",
            "arguments": {
              "name": "relation_15"
            },
            "locale": "bg"
          },
          "shows": "Programmable prose in Bulgarian from the clay tool's answer and the tree toolbox's skill: the numbers are the tool's, the words the vocabulary's, the rest reported.",
          "theorem": null
        }
      ]
    },
    "selftest": {
      "passed": true,
      "checks": 4
    },
    "license": "CC-BY-NC-ND-4.0",
    "author": "Tsvetan Rouschev",
    "theorem": "all_noclone"
  }
}

metrics · metrics-live

The tree's metrics computed now: tools, toolboxes, examples and how many a theorem backs, the kernel's counts, leads by status, the audit, the balancer.

{"name":"metrics","arguments":{}}

✓ as expected

metrics · The computable metrics of this tree in real time: tools and toolboxes, examples and how many name the kernel-accepted theorem that makes them true, the kernel's theorem counts from its own index, leads by status, the audit's checks, the balancer's memory. Quality is proven by theorems, not textbook examples; this is the measure of how far that holds.

tools

41

toolboxes

12

patterns

11

patternsRecognised

2

examples

85

examplesBackedByTheorems

16

examplesBackedRatio

0.188

theoremsKernel

993

theoremsHandWritten

491

lemmasGenerated

502

leads

2700

auditChecks

710

auditPassed

710

auditFailed

0

auditNested

false

balancer

104

license

CC-BY-NC-ND-4.0

at

2026-10-25T21:38:32.523Z

balancerTeleported

0

balancerTeleportHits

0

toolCalls

477

toolMisses

106

toolMs

5344

msPerComputedCall

50.4

discoveredHosts

0

hostsWithContract

0

discoveredDoors

0

verificationRequests

0

verificationReachable

0

verificationContracted

0

verificationOutsideContract

0

borderDoors

0

borderSealedBy

0

repositoryTagsMoved

0

repositoryLeads

0

legalClaims

0

legalViolations

0

legalRefusals

0

coinsPaid

0

coinCalls

0

coinsUnclean

0

docketEntries

0

docketMirrors

0

receipts

0

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "tools": 41,
  "toolboxes": 12,
  "patterns": 11,
  "patternsRecognised": 2,
  "examples": 85,
  "examplesBackedByTheorems": 16,
  "examplesBackedRatio": 0.188,
  "theoremsKernel": 993,
  "theoremsHandWritten": 491,
  "lemmasGenerated": 502,
  "leads": 2700,
  "leadsByStatus": {
    "served": 256,
    "partial": 30,
    "open": 2294,
    "blocked": 8,
    "out_of_scope": 112
  },
  "auditChecks": 710,
  "auditPassed": 710,
  "auditFailed": 0,
  "auditNested": false,
  "selftests": [
    "google",
    "tree",
    "flow",
    "language",
    "raid",
    "billing",
    "legal",
    "repository",
    "standards",
    "payload",
    "extension",
    "crypto"
  ],
  "balancer": 104,
  "license": "CC-BY-NC-ND-4.0",
  "at": "2026-10-25T21:38:32.523Z",
  "balancerTeleported": 0,
  "balancerTeleportHits": 0,
  "toolCalls": 477,
  "toolMisses": 106,
  "toolMs": 5344,
  "slowestTools": [
    "audit 2690 ms / 1 computed / 1 asked / 434474 bytes",
    "algorithm 1966 ms / 7 computed / 42 asked / 29502 bytes",
    "quantum-error-correction 204 ms / 1 computed / 6 asked / 12091 bytes",
    "match 173 ms / 9 computed / 33 asked / 558568 bytes",
    "translate 72 ms / 2 computed / 10 asked / 8974 bytes",
    "readiness 46 ms / 1 computed / 3 asked / 816721 bytes"
  ],
  "msPerComputedCall": 50.4,
  "load": {
    "paid": 106,
    "free": 371,
    "involutions": 0,
    "coins": 0,
    "a432": {
      "key": 432,
      "harmonics": 17,
      "stylesheetBytes": 1787,
      "served": "the shell cache, immutable: the harmonic strings of every block (its custom properties from its UUID alone, the reflected harmonic and the drift's prime dust among them) cost the device nothing and the edge nothing"
    },
    "note": "paid: computations (balancer misses); free: answers by address (balancer hits) and by involution (304 at the edge); the coins set the entanglement once, the teleports are free until the load is paid again"
  },
  "discoveredHosts": 0,
  "hostsWithContract": 0,
  "discoveredDoors": 0,
  "capabilities": {},
  "verificationRequests": 0,
  "verificationReachable": 0,
  "verificationContracted": 0,
  "verificationOutsideContract": 0,
  "verificationReachableRatio": null,
  "readinessClasses": null,
  "ready": null,
  "borderDoors": 0,
  "borderSealedBy": 0,
  "repositoryBranchesAgree": null,
  "repositoryTagsAgree": null,
  "repositoryTagsMoved": 0,
  "repositoryLeads": 0,
  "legalClaims": 0,
  "legalVerdicts": null,
  "legalViolations": 0,
  "legalRefusals": 0,
  "legalSecurity": null,
  "legalAudit": null,
  "coinsPaid": 0,
  "coinCalls": 0,
  "coinsByDoor": null,
  "coinsUnclean": 0,
  "coinsPerSettledLead": null,
  "docketEntries": 0,
  "docketRoot": null,
  "docketMirrors": 0,
  "receipts": 0,
  "lastReceipt": null,
  "verbosityBytes": null,
  "verbosityTotalBytes": null,
  "stepMs": null,
  "flowMs": null,
  "msPerVerificationRequest": null,
  "requestsPerSettledLead": null,
  "msPerSettledLead": null,
  "advantageByUnit": null,
  "gateCombos": null,
  "gateCopies": null,
  "gateInvolutions": null,
  "gateOutcomes": null,
  "gateMsSaved": null,
  "gateWinners": null
}

processor · processor-willow

How many qubits Willow has, as its spec sheet states it: 105, with average connectivity 3.47.

{"name":"processor","arguments":{"name":"Willow"}}

✓ as expected

processor · A Google Quantum AI processor as its spec sheet states it: qubits, the grid, the two chips, and the magic-state figures.

Qubits

105

Average connectivity

3.47

Λ for distances 3, 5, 7

2.14

Magic state error reduction

40×

Figure	Chip 1: error correction	Chip 2: random circuit sampling
Single-qubit gate error	0.035% ± 0.029%	0.036% ± 0.013%
Two-qubit gate error (CZ / iSWAP-like)	0.330% ± 0.180%	0.140% ± 0.052%
Measurement error	0.770% ± 0.210%	0.670% ± 0.510%
T1	68 µs ± 13 µs	98 µs ± 32 µs
Rate	909,000 cycles per second	63,000 repetitions per second

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "name": "Willow",
  "technology": "superconducting",
  "qubits": 105,
  "statedAverageConnectivity": 3.47,
  "typicalConnectivity": 4,
  "chips": {
    "errorCorrection": {
      "singleQubitGateError": {
        "mean": 0.00035,
        "spread": 0.00029
      },
      "twoQubitGateError": {
        "gate": "CZ",
        "mean": 0.0033,
        "spread": 0.0018
      },
      "measurementError": {
        "mean": 0.0077,
        "spread": 0.0021,
        "scope": "repetitive, measure qubits"
      },
      "t1Microseconds": {
        "mean": 68,
        "spread": 13
      },
      "reset": [
        "multi-level reset (|1> and above)",
        "leakage removal (|2> only)"
      ],
      "errorCorrectionCyclesPerSecond": 909000,
      "surfaceCodeCycleMicroseconds": 1.1,
      "errorSuppression": {
        "distances": [
          3,
          5,
          7
        ],
        "mean": 2.14,
        "spread": 0.02
      }
    },
    "randomCircuitSampling": {
      "singleQubitGateError": {
        "mean": 0.00036,
        "spread": 0.00013
      },
      "twoQubitGateError": {
        "gate": "iSWAP-like",
        "mean": 0.0014,
        "spread": 0.00052
      },
      "measurementError": {
        "mean": 0.0067,
        "spread": 0.0051,
        "scope": "terminal, all qubits"
      },
      "t1Microseconds": {
        "mean": 98,
        "spread": 32
      },
      "reset": [
        "multi-level reset (|1> and above)",
        "leakage removal (|2> only)"
      ],
      "circuitRepetitionsPerSecond": 63000,
      "application": {
        "qubits": 103,
        "depth": 40,
        "xebFidelity": 0.001
      },
      "comparison": {
        "onWillow": "5 minutes",
        "onClassicalSupercomputer": "10^25 years"
      }
    }
  },
  "magicStateCultivation": {
    "errorReductionFactor": 40,
    "logicalFidelity": 0.9999,
    "colorCodeDistance": 3,
    "surfaceCodeDistance": 5
  },
  "errorCorrectionPreprint": {
    "distances": [
      5,
      7
    ],
    "lambda": {
      "mean": 2.14,
      "spread": 0.02
    },
    "logicalErrorPerCycle": {
      "mean": 0.00143,
      "spread": 0.00003
    },
    "qubitsInDistance7Code": 101,
    "repetitionCodeDistances": 29,
    "decoderLatencyMicroseconds": 63,
    "decoderLatencyDistance": 5,
    "cycleMicroseconds": 1.1,
    "beyondBreakEven": {
      "mean": 2.4,
      "spread": 0.3
    },
    "correlatedErrorCycles": 3000000000
  }
}

processor · processor-sycamore

Sycamore from its printed diagram: 54 qubits and 88 couplers, derived and stated.

{"name":"processor","arguments":{"name":"Sycamore"}}

✓ as expected

processor · A Google Quantum AI processor as its spec sheet states it: qubits, the grid, the two chips, and the magic-state figures.

Qubits

54

Couplers

88

Figure	Value
Stated qubits	54
Stated couplers	88
Layout	the printed device diagram on the Google devices page, and the grid in Cirq's known_devices source

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "name": "Sycamore",
  "qubits": 54,
  "couplers": 88,
  "layout": "the printed device diagram on the Google devices page, and the grid in Cirq's known_devices source",
  "statedQubits": 54,
  "statedCouplers": 88
}

circuit · circuit-hadamard-amplitudes

A Hadamard gives two amplitudes of 1/√2.

{"name":"circuit","arguments":{"operations":[{"gate":"H","qubits":[{"kind":"line","x":0}]}]}}

✓ as expected

circuit · Compile a circuit from its operations, placed by an insert strategy, and simulate it. Without noise or observables: the final amplitudes, or sampled bitstrings and their histogram when there is a measurement. With noise channels (as Cirq names them) or Pauli observables: the density matrix, its basis probabilities, trace, purity and the expectation values. A device validates the circuit first.

Qubits

1

Basis states with weight

2

State	Probability
|0⟩	50.00%
|1⟩	50.00%

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "qubits": [
    "line:0"
  ],
  "amplitudes": [
    {
      "re": 0.7071067811865476,
      "im": 0
    },
    {
      "re": 0.7071067811865476,
      "im": 0
    }
  ]
}

circuit · circuit-hadamard-sampled

The same circuit measured: 400 bitstrings, each 0 or 1, in a histogram.

{"name":"circuit","arguments":{"operations":[{"gate":"H","qubits":[{"kind":"line","x":0}]}],"measure":{"key":"m","qubits":[{"kind":"line","x":0}]},"repetitions":400}}

✓ as expected

circuit · Compile a circuit from its operations, placed by an insert strategy, and simulate it. Without noise or observables: the final amplitudes, or sampled bitstrings and their histogram when there is a measurement. With noise channels (as Cirq names them) or Pauli observables: the density matrix, its basis probabilities, trace, purity and the expectation values. A device validates the circuit first.

Repetitions

400

Measurement key

m

Distinct outcomes

2

Bitstring	Count	Share
0	207	51.7%
1	193	48.3%

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "key": "m",
  "bitstrings": [
    "1",
    "0",
    "0",
    "1",
    "0",
    "1",
    "1",
    "1",
    "0",
    "1",
    "0",
    "1",
    "1",
    "1",
    "1",
    "0",
    "0",
    "1",
    "1",
    "0",
    "1",
    "0",
    "0",
    "1",
    "0",
    "1",
    "1",
    "0",
    "0",
    "0",
    "1",
    "0",
    "0",
    "1",
    "0",
    "1",
    "0",
    "0",
    "0",
    "0",
    "1",
    "0",
    "1",
    "1",
    "1",
    "0",
    "0",
    "0",
    "1",
    "0",
    "1",
    "1",
    "0",
    "1",
    "1",
    "0",
    "0",
    "0",
    "0",
    "1",
    "0",
    "1",
    "1",
    "0",
    "0",
    "0",
    "1",
    "0",
    "1",
    "0",
    "1",
    "0",
    "0",
    "1",
    "0",
    "0",
    "0",
    "1",
    "0",
    "0",
    "0",
    "0",
    "0",
    "0",
    "1",
    "0",
    "0",
    "1",
    "1",
    "1",
    "0",
    "0",
    "1",
    "1",
    "1",
    "0",
    "1",
    "1",
    "1",
    "1",
    "0",
    "0",
    "1",
    "0",
    "0",
    "0",
    "0",
    "0",
    "1",
    "1",
    "0",
    "0",
    "1",
    "0",
    "0",
    "1",
    "1",
    "1",
    "1",
    "0",
    "0",
    "1",
    "1",
    "1",
    "1",
    "0",
    "0",
    "0",
    "1",
    "1",
    "0",
    "1",
    "1",
    "0",
    "0",
    "1",
    "0",
    "0",
    "1",
    "1",
    "0",
    "1",
    "1",
    "0",
    "0",
    "0",
    "0",
    "1",
    "0",
    "1",
    "0",
    "0",
    "1",
    "0",
    "0",
    "0",
    "1",
    "1",
    "1",
    "1",
    "0",
    "1",
    "1",
    "1",
    "0",
    "0",
    "1",
    "1",
    "1",
    "1",
    "1",
    "0",
    "1",
    "1",
    "0",
    "1",
    "0",
    "0",
    "0",
    "0",
    "1",
    "1",
    "0",
    "1",
    "1",
    "1",
    "0",
    "1",
    "1",
    "0",
    "1",
    "0",
    "0",
    "0",
    "0",
    "0",
    "0",
    "1",
    "1",
    "1",
    "0",
    "0",
    "0",
    "1",
    "0",
    "1",
    "0",
    "1",
    "0",
    "0",
    "0",
    "0",
    "1",
    "1",
    "1",
    "0",
    "0",
    "0",
    "1",
    "0",
    "0",
    "0",
    "1",
    "1",
    "1",
    "0",
    "1",
    "0",
    "0",
    "0",
    "0",
    "0",
    "0",
    "1",
    "1",
    "1",
    "0",
    "0",
    "1",
    "1",
    "1",
    "1",
    "0",
    "1",
    "0",
    "0",
    "0",
    "0",
    "1",
    "0",
    "0",
    "0",
    "0",
    "0",
    "0",
    "0",
    "0",
    "1",
    "1",
    "0",
    "0",
    "1",
    "0",
    "1",
    "1",
    "0",
    "1",
    "0",
    "1",
    "0",
    "1",
    "1",
    "1",
    "0",
    "1",
    "0",
    "1",
    "0",
    "1",
    "1",
    "1",
    "1",
    "1",
    "1",
    "0",
    "0",
    "0",
    "1",
    "0",
    "0",
    "1",
    "1",
    "0",
    "1",
    "1",
    "1",
    "1",
    "0",
    "1",
    "0",
    "1",
    "1",
    "0",
    "0",
    "0",
    "0",
    "0",
    "1",
    "1",
    "0",
    "1",
    "0",
    "0",
    "1",
    "0",
    "0",
    "1",
    "1",
    "0",
    "1",
    "1",
    "0",
    "1",
    "1",
    "1",
    "0",
    "0",
    "0",
    "0",
    "1",
    "1",
    "0",
    "0",
    "0",
    "0",
    "1",
    "1",
    "0",
    "0",
    "0",
    "1",
    "0",
    "1",
    "1",
    "1",
    "0",
    "1",
    "1",
    "1",
    "1",
    "1",
    "0",
    "0",
    "0",
    "0",
    "1",
    "1",
    "0",
    "1",
    "1",
    "1",
    "0",
    "0",
    "1",
    "0",
    "0",
    "1",
    "1",
    "1",
    "0",
    "1",
    "0",
    "1",
    "1",
    "0",
    "1",
    "1",
    "0",
    "1",
    "0",
    "1",
    "1",
    "1",
    "1",
    "0",
    "1",
    "0",
    "0",
    "1",
    "1",
    "0",
    "0",
    "1",
    "0",
    "1",
    "0",
    "0",
    "0",
    "0",
    "0"
  ],
  "histogram": {
    "0": 207,
    "1": 193
  }
}

circuit · circuit-bit-flip-noise

An X gate under a bit-flip channel of p = 0.1 on the density matrix: probability 0.1 of reading 0, purity 0.1² + 0.9² = 0.82. Noise does not sample; it returns the mixed state.

{"name":"circuit","arguments":{"operations":[{"gate":"X","qubits":[{"kind":"line","x":0}]}],"noise":[{"name":"bit_flip","p":0.1}]}}

✓ as expected

circuit · Compile a circuit from its operations, placed by an insert strategy, and simulate it. Without noise or observables: the final amplitudes, or sampled bitstrings and their histogram when there is a measurement. With noise channels (as Cirq names them) or Pauli observables: the density matrix, its basis probabilities, trace, purity and the expectation values. A device validates the circuit first.

Trace

1.000000

Purity

0.820000

Basis states with weight

2

State	Probability
|0⟩	10.00%
|1⟩	90.00%

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "qubits": [
    "line:0"
  ],
  "probabilities": [
    0.1,
    0.8999999999999999
  ],
  "trace": 0.9999999999999999,
  "purity": 0.8199999999999998,
  "expectations": []
}

echo · echo-returns

H forward, Z, H back is X: the echo is destroyed, so the return probability is 0.

{"name":"echo","arguments":{"forward":[{"gate":"H","qubits":[{"kind":"line","x":0}]}],"perturbation":{"gate":"Z","qubits":[{"kind":"line","x":0}]}}}

✓ as expected

echo · Quantum Echoes: run the operations forward, perturb once, run them back, and return the probability that every qubit returns to 0.

Probability the echo returns

0.000000

Operations in the echo circuit

3

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "probability": 0,
  "operations": 3
}

echo_benchmark · echo-benchmark

Quantum Echoes as Google states it: Willow, 105 qubits, the 13,000× figure (Google's, not this tree's).

{"name":"echo_benchmark","arguments":{}}

✓ as expected

echo_benchmark · The Quantum Echoes result as Google states it: the processor, its qubits, the speedup, and the molecules.

Processor

Willow

Qubits in the array

105

Speedup over the fastest supercomputers

13,000×

Molecules

15 atoms, 28 atoms

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "processor": "Willow",
  "qubits": 105,
  "speedup": 13000,
  "molecules": [
    15,
    28
  ],
  "experiment": {
    "qubitsUsedInFigure": 65,
    "qubitsStatedInText": 103,
    "quantumRunHours": 2,
    "frontierYearsPerDataPoint": 3.2,
    "classicalRedTeamPersonYears": 10,
    "classicalAlgorithms": 9,
    "nmrDemonstrationBeyondClassical": false
  },
  "protocol": [
    "the qubits start in a ground state, one prepared in |ψM>",
    "a forward evolution U, a random circuit of one- and two-qubit operations on a 2D grid, creates a chaotic state",
    "a one-qubit perturbation B is applied between the forward and backward evolutions",
    "the backward evolution U† is applied",
    "a one-qubit probe M is applied to the initially prepared qubit",
    "the steps repeat k times, and another qubit is then measured"
  ]
}

roadmap · roadmap-all

The six roadmap milestones and the four application bands.

{"name":"roadmap","arguments":{}}

✓ as expected

roadmap · The Google Quantum AI roadmap: its six milestones, their physical-qubit scale, and which are achieved or in progress. With a milestone number, only that milestone.

Milestone	Title	Year	Physical qubits	Status
M1	Beyond classical	2019	54	achieved
M2	Logical qubit prototype	2023	100	achieved
M3	1 long-lived logical qubit	2025+	1,000	in progress
M4	Tileable module (logical gate)	—	10,000	planned
M5	Engineering scale up	—	100,000	planned
M6	Error-corrected quantum computer	—	1,000,000	planned

Physical qubits needed	Predicted applications
50k–100k	Fundamental physics: quantum gravity, many-body states; Certified randomness
100k–500k	Quantum magnets; Spectroscopy (NMR, ESR); Quantum machine learning with "quantum data"; Novel phases of matter
500k–5M	Molecular modeling: drug targets and anti-targets, homogeneous catalysis, solar cell dye molecules; Topological data analysis; Some differential equations; Quantum machine learning of "classical data"
5M–50M	Molecular modeling: better modeling of materials for our qubits, battery cathodes, heterogeneous catalysis, fusion reactor design; Factoring

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "milestones": [
    {
      "number": 1,
      "title": "Beyond classical",
      "year": "2019",
      "physicalQubits": 54,
      "status": "achieved"
    },
    {
      "number": 2,
      "title": "Logical qubit prototype",
      "year": "2023",
      "physicalQubits": 100,
      "status": "achieved"
    },
    {
      "number": 3,
      "title": "1 long-lived logical qubit",
      "year": "2025+",
      "physicalQubits": 1000,
      "status": "in progress"
    },
    {
      "number": 4,
      "title": "Tileable module (logical gate)",
      "year": null,
      "physicalQubits": 10000,
      "status": "planned"
    },
    {
      "number": 5,
      "title": "Engineering scale up",
      "year": null,
      "physicalQubits": 100000,
      "status": "planned"
    },
    {
      "number": 6,
      "title": "Error-corrected quantum computer",
      "year": null,
      "physicalQubits": 1000000,
      "status": "planned"
    }
  ],
  "applications": [
    {
      "band": "50k–100k",
      "low": 50000,
      "high": 100000,
      "applications": [
        "Fundamental physics: quantum gravity, many-body states",
        "Certified randomness"
      ]
    },
    {
      "band": "100k–500k",
      "low": 100000,
      "high": 500000,
      "applications": [
        "Quantum magnets",
        "Spectroscopy (NMR, ESR)",
        "Quantum machine learning with \"quantum data\"",
        "Novel phases of matter"
      ]
    },
    {
      "band": "500k–5M",
      "low": 500000,
      "high": 5000000,
      "applications": [
        "Molecular modeling: drug targets and anti-targets, homogeneous catalysis, solar cell dye molecules",
        "Topological data analysis",
        "Some differential equations",
        "Quantum machine learning of \"classical data\""
      ]
    },
    {
      "band": "5M–50M",
      "low": 5000000,
      "high": 50000000,
      "applications": [
        "Molecular modeling: better modeling of materials for our qubits, battery cathodes, heterogeneous catalysis, fusion reactor design",
        "Factoring"
      ]
    }
  ]
}

roadmap · roadmap-milestone-3

One milestone by number.

{"name":"roadmap","arguments":{"milestone":3}}

✓ as expected

roadmap · The Google Quantum AI roadmap: its six milestones, their physical-qubit scale, and which are achieved or in progress. With a milestone number, only that milestone.

Milestone	Title	Year	Physical qubits	Status
M3	1 long-lived logical qubit	2025+	1,000	in progress

Physical qubits needed	Predicted applications
50k–100k	Fundamental physics: quantum gravity, many-body states; Certified randomness
100k–500k	Quantum magnets; Spectroscopy (NMR, ESR); Quantum machine learning with "quantum data"; Novel phases of matter
500k–5M	Molecular modeling: drug targets and anti-targets, homogeneous catalysis, solar cell dye molecules; Topological data analysis; Some differential equations; Quantum machine learning of "classical data"
5M–50M	Molecular modeling: better modeling of materials for our qubits, battery cathodes, heterogeneous catalysis, fusion reactor design; Factoring

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "milestones": [
    {
      "number": 3,
      "title": "1 long-lived logical qubit",
      "year": "2025+",
      "physicalQubits": 1000,
      "status": "in progress"
    }
  ],
  "applications": [
    {
      "band": "50k–100k",
      "low": 50000,
      "high": 100000,
      "applications": [
        "Fundamental physics: quantum gravity, many-body states",
        "Certified randomness"
      ]
    },
    {
      "band": "100k–500k",
      "low": 100000,
      "high": 500000,
      "applications": [
        "Quantum magnets",
        "Spectroscopy (NMR, ESR)",
        "Quantum machine learning with \"quantum data\"",
        "Novel phases of matter"
      ]
    },
    {
      "band": "500k–5M",
      "low": 500000,
      "high": 5000000,
      "applications": [
        "Molecular modeling: drug targets and anti-targets, homogeneous catalysis, solar cell dye molecules",
        "Topological data analysis",
        "Some differential equations",
        "Quantum machine learning of \"classical data\""
      ]
    },
    {
      "band": "5M–50M",
      "low": 5000000,
      "high": 50000000,
      "applications": [
        "Molecular modeling: better modeling of materials for our qubits, battery cathodes, heterogeneous catalysis, fusion reactor design",
        "Factoring"
      ]
    }
  ]
}

algorithm · algorithm-shor-15

Shor's circuit on the state-vector simulator: order 4 and factors 3 × 5 for N = 15, a = 7.

{"name":"algorithm","arguments":{"name":"shor","N":15,"a":7}}

✓ as expected

algorithm · The textbook algorithms of the Cirq page: qft and inverse_qft (on 1 to 6 qubits, from input x), phase_estimation (of θ with 1 to 8 bits), grover (two qubits, marked |00>), teleportation (the message state, sent and received), qaoa (depth 1 on the first 2 to 12 sorted qubits of the Sycamore device, the page's instance, with the expected cut), and shor (order finding for N from 3 to 21, the state-vector bound). Each returns its summary and a table.

N

15

a

7

Order of a mod N

4

Factors

3 × 5

Prime dust

3 × 5 (verified: product = 15)

Measured phase	Count	Share
0.500000	7	35.0%
0.250000	5	25.0%
0.000000	4	20.0%
0.750000	4	20.0%

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "name": "shor",
  "summary": [
    [
      "N",
      "15"
    ],
    [
      "a",
      "7"
    ],
    [
      "Order of a mod N",
      "4"
    ],
    [
      "Factors",
      "3 × 5"
    ],
    [
      "Prime dust",
      "3 × 5 (verified: product = 15)"
    ]
  ],
  "header": [
    "Measured phase",
    "Count",
    "Share"
  ],
  "rows": [
    [
      "0.500000",
      "7",
      "35.0%"
    ],
    [
      "0.250000",
      "5",
      "25.0%"
    ],
    [
      "0.000000",
      "4",
      "20.0%"
    ],
    [
      "0.750000",
      "4",
      "20.0%"
    ]
  ]
}

algorithm · algorithm-qft-3

The QFT of |5⟩ on three qubits: eight amplitudes of equal magnitude.

{"name":"algorithm","arguments":{"name":"qft","qubits":3,"input":5}}

✓ as expected

algorithm · The textbook algorithms of the Cirq page: qft and inverse_qft (on 1 to 6 qubits, from input x), phase_estimation (of θ with 1 to 8 bits), grover (two qubits, marked |00>), teleportation (the message state, sent and received), qaoa (depth 1 on the first 2 to 12 sorted qubits of the Sycamore device, the page's instance, with the expected cut), and shor (order finding for N from 3 to 21, the state-vector bound). Each returns its summary and a table.

Qubits

3

Input |x>

5

Transform

QFT

State	Amplitude	Probability
0	0.3536 + 0.0000i	12.50%
1	-0.2500 − 0.2500i	12.50%
2	0.0000 + 0.3536i	12.50%
3	0.2500 − 0.2500i	12.50%
4	-0.3536 + 0.0000i	12.50%
5	0.2500 + 0.2500i	12.50%
6	-0.0000 − 0.3536i	12.50%
7	-0.2500 + 0.2500i	12.50%

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "name": "qft",
  "summary": [
    [
      "Qubits",
      "3"
    ],
    [
      "Input |x>",
      "5"
    ],
    [
      "Transform",
      "QFT"
    ]
  ],
  "header": [
    "State",
    "Amplitude",
    "Probability"
  ],
  "rows": [
    [
      "0",
      "0.3536 + 0.0000i",
      "12.50%"
    ],
    [
      "1",
      "-0.2500 − 0.2500i",
      "12.50%"
    ],
    [
      "2",
      "0.0000 + 0.3536i",
      "12.50%"
    ],
    [
      "3",
      "0.2500 − 0.2500i",
      "12.50%"
    ],
    [
      "4",
      "-0.3536 + 0.0000i",
      "12.50%"
    ],
    [
      "5",
      "0.2500 + 0.2500i",
      "12.50%"
    ],
    [
      "6",
      "-0.0000 − 0.3536i",
      "12.50%"
    ],
    [
      "7",
      "-0.2500 + 0.2500i",
      "12.50%"
    ]
  ]
}

algorithm · algorithm-grover

Grover on two qubits finds the marked |00⟩ with certainty.

{"name":"algorithm","arguments":{"name":"grover"}}

✓ as expected

algorithm · The textbook algorithms of the Cirq page: qft and inverse_qft (on 1 to 6 qubits, from input x), phase_estimation (of θ with 1 to 8 bits), grover (two qubits, marked |00>), teleportation (the message state, sent and received), qaoa (depth 1 on the first 2 to 12 sorted qubits of the Sycamore device, the page's instance, with the expected cut), and shor (order finding for N from 3 to 21, the state-vector bound). Each returns its summary and a table.

Marked state

|00>

Repetitions

100

Measured	Count	Share
|00>	100	100.0%

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "name": "grover",
  "summary": [
    [
      "Marked state",
      "|00>"
    ],
    [
      "Repetitions",
      "100"
    ]
  ],
  "header": [
    "Measured",
    "Count",
    "Share"
  ],
  "rows": [
    [
      "|00>",
      "100",
      "100.0%"
    ]
  ]
}

algorithm · algorithm-teleportation

Teleportation: the received state matches the message on X, Y and Z.

{"name":"algorithm","arguments":{"name":"teleportation"}}

✓ as expected

algorithm · The textbook algorithms of the Cirq page: qft and inverse_qft (on 1 to 6 qubits, from input x), phase_estimation (of θ with 1 to 8 bits), grover (two qubits, marked |00>), teleportation (the message state, sent and received), qaoa (depth 1 on the first 2 to 12 sorted qubits of the Sycamore device, the page's instance, with the expected cut), and shor (order finding for N from 3 to 21, the state-vector bound). Each returns its summary and a table.

Message

X**0.25 on |0>

Received on

Bob

Pauli	Sent	Received
X	0.000000	0.000000
Y	-0.707107	-0.707107
Z	0.707107	0.707107

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "name": "teleportation",
  "summary": [
    [
      "Message",
      "X**0.25 on |0>"
    ],
    [
      "Received on",
      "Bob"
    ]
  ],
  "header": [
    "Pauli",
    "Sent",
    "Received"
  ],
  "rows": [
    [
      "X",
      "0.000000",
      "0.000000"
    ],
    [
      "Y",
      "-0.707107",
      "-0.707107"
    ],
    [
      "Z",
      "0.707107",
      "0.707107"
    ]
  ]
}

algorithm · algorithm-phase-estimation

Phase estimation reads θ = 0.25 exactly in three bits.

{"name":"algorithm","arguments":{"name":"phase_estimation","theta":0.25,"bits":3}}

✓ as expected

algorithm · The textbook algorithms of the Cirq page: qft and inverse_qft (on 1 to 6 qubits, from input x), phase_estimation (of θ with 1 to 8 bits), grover (two qubits, marked |00>), teleportation (the message state, sent and received), qaoa (depth 1 on the first 2 to 12 sorted qubits of the Sycamore device, the page's instance, with the expected cut), and shor (order finding for N from 3 to 21, the state-vector bound). Each returns its summary and a table.

Eigenphase θ

0.25

Estimation bits

3

Most frequent estimate

0.25

Estimate	Count	Share
0.250000	2000	100.0%

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "name": "phase_estimation",
  "summary": [
    [
      "Eigenphase θ",
      "0.25"
    ],
    [
      "Estimation bits",
      "3"
    ],
    [
      "Most frequent estimate",
      "0.25"
    ]
  ],
  "header": [
    "Estimate",
    "Count",
    "Share"
  ],
  "rows": [
    [
      "0.250000",
      "2000",
      "100.0%"
    ]
  ]
}

algorithm · algorithm-qaoa

QAOA on the Cirq page's instance, sampled from the state's probabilities.

{"name":"algorithm","arguments":{"name":"qaoa"}}

✓ as expected

algorithm · The textbook algorithms of the Cirq page: qft and inverse_qft (on 1 to 6 qubits, from input x), phase_estimation (of θ with 1 to 8 bits), grover (two qubits, marked |00>), teleportation (the message state, sent and received), qaoa (depth 1 on the first 2 to 12 sorted qubits of the Sycamore device, the page's instance, with the expected cut), and shor (order finding for N from 3 to 21, the state-vector bound). Each returns its summary and a table.

Device

Sycamore

Nodes

12

Edges

15

Expected cut

16.8750

Random baseline

16.8750

Edge	Weight
grid:0,5 – grid:0,6	4.09
grid:0,5 – grid:1,5	1.91
grid:0,6 – grid:1,6	0.80
grid:1,4 – grid:1,5	0.91
grid:1,4 – grid:2,4	3.37
grid:1,5 – grid:1,6	4.39
grid:1,5 – grid:2,5	2.69
grid:1,6 – grid:1,7	3.32
grid:1,6 – grid:2,6	1.61
grid:1,7 – grid:2,7	0.71
grid:2,3 – grid:2,4	3.38
grid:2,4 – grid:2,5	2.80
grid:2,5 – grid:2,6	1.09
grid:2,6 – grid:2,7	0.92
grid:2,7 – grid:2,8	1.76

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "name": "qaoa",
  "summary": [
    [
      "Device",
      "Sycamore"
    ],
    [
      "Nodes",
      "12"
    ],
    [
      "Edges",
      "15"
    ],
    [
      "Expected cut",
      "16.8750"
    ],
    [
      "Random baseline",
      "16.8750"
    ]
  ],
  "header": [
    "Edge",
    "Weight"
  ],
  "rows": [
    [
      "grid:0,5 – grid:0,6",
      "4.09"
    ],
    [
      "grid:0,5 – grid:1,5",
      "1.91"
    ],
    [
      "grid:0,6 – grid:1,6",
      "0.80"
    ],
    [
      "grid:1,4 – grid:1,5",
      "0.91"
    ],
    [
      "grid:1,4 – grid:2,4",
      "3.37"
    ],
    [
      "grid:1,5 – grid:1,6",
      "4.39"
    ],
    [
      "grid:1,5 – grid:2,5",
      "2.69"
    ],
    [
      "grid:1,6 – grid:1,7",
      "3.32"
    ],
    [
      "grid:1,6 – grid:2,6",
      "1.61"
    ],
    [
      "grid:1,7 – grid:2,7",
      "0.71"
    ],
    [
      "grid:2,3 – grid:2,4",
      "3.38"
    ],
    [
      "grid:2,4 – grid:2,5",
      "2.80"
    ],
    [
      "grid:2,5 – grid:2,6",
      "1.09"
    ],
    [
      "grid:2,6 – grid:2,7",
      "0.92"
    ],
    [
      "grid:2,7 – grid:2,8",
      "1.76"
    ]
  ]
}

software · software

The Software page tools; only Cirq is implemented here.

{"name":"software","arguments":{}}

✓ as expected

software · The open-source tools of the Google Quantum AI Software page, as the page describes them. Only Cirq is implemented in this repository.

Tools

5

Implemented here

1

Tool	What it is	In this repository
Cirq	an open-source quantum framework for building and experimenting with NISQ algorithms on near-term processors	yes
qsim	a fast quantum circuit simulator that integrates with Cirq and runs quantum simulations on high-performance classical hardware	no
Qualtran	a set of abstractions for representing quantum programs, and a library of quantum algorithms for quantum algorithms research	no
OpenFermion	an open-source library for translating chemistry and materials science problems into quantum circuits that run on existing platforms	no
TensorFlow Quantum	a quantum machine learning library for rapidly prototyping hybrid quantum-classical machine learning models within TensorFlow	no

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "tools": [
    {
      "name": "Cirq",
      "description": "an open-source quantum framework for building and experimenting with NISQ algorithms on near-term processors",
      "implemented": true
    },
    {
      "name": "qsim",
      "description": "a fast quantum circuit simulator that integrates with Cirq and runs quantum simulations on high-performance classical hardware",
      "implemented": false
    },
    {
      "name": "Qualtran",
      "description": "a set of abstractions for representing quantum programs, and a library of quantum algorithms for quantum algorithms research",
      "implemented": false
    },
    {
      "name": "OpenFermion",
      "description": "an open-source library for translating chemistry and materials science problems into quantum circuits that run on existing platforms",
      "implemented": false
    },
    {
      "name": "TensorFlow Quantum",
      "description": "a quantum machine learning library for rapidly prototyping hybrid quantum-classical machine learning models within TensorFlow",
      "implemented": false
    }
  ]
}

statements · statements-cirq

One statement by topic.

{"name":"statements","arguments":{"topic":"cirq"}}

✓ as expected

statements · The statements quantumai.google, its PDFs and the quantumlib repositories make, each as the page states it: Cirq, the definition of quantum computing, progress, responsibility, the vision, the hardware and the full stack, the Willow Early Access Program, neutral atoms, the Sycamore gates, the Weber datasheet, the Quantum Echoes preprint, the campus, qsim, Qualtran, OpenFermion, the Cirq guide pages followed, the Resources, Research, journey, lab and Qubit Game pages, the QEC milestone, the APS summit pages and the sitemap. With a topic, only that one.

Topic	Statement
cirq	Cirq is a Python software library for writing, manipulating, and optimizing quantum circuits.

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "statements": [
    {
      "topic": "cirq",
      "text": "Cirq is a Python software library for writing, manipulating, and optimizing quantum circuits."
    }
  ]
}

repositories · repositories

The fifteen quantumlib repositories.

{"name":"repositories","arguments":{}}

✓ as expected

repositories · The repositories of the quantumlib GitHub organization, as its list states them: name, description and primary language.

Repositories

15

Shown

15

Repository	Language	Description
Cirq	Python	Python framework for creating, editing, and running Noisy Intermediate-Scale Quantum (NISQ) circuits.
Stim	C++	A fast stabilizer circuit library.
chromobius	Python	Open-source implementation of a Möbius decoder for color codes used in quantum error correction (QEC)
Qualtran	Python	Qᴜᴀʟᴛʀᴀɴ is a Python library for expressing and analyzing Fault Tolerant Quantum algorithms.
tesseract-decoder	C++	Search-based decoder for quantum error correction (QEC) written in C++ and Python.
OpenFermion-PySCF	Python	OpenFermion plugin to interface with the electronic structure package PySCF.
OpenFermion-FQE	Python	The Fermionic Quantum Emulator (FQE) is a fermionic simulation research tool specializing in quantum circuits.
qsim	C++	Fast C++ and Python library for state-vector simulation of quantum circuits.
OpenFermion	Python	Python package for compiling and analyzing quantum algorithms to simulate electronic structures.
unitary	OpenQASM	Open-source API library providing common operations for adding quantum behaviors to games.
ReCirq	Python	Python modules for quantum computing applications and experiments using Cirq. Research using Cirq!
TypedUnits	Python	A fast units and dimensions library with support for static dimensionality checking and protobuffer serialization.
OpenFermion-Psi4	Python	OpenFermion plugin to interface with the electronic structure package Psi4.
qchack-2021-challenge	Python	The <G|oogl|e> challenge for Quantum Coalition Hackathon 2021
OpenFermion-Cirq	Python	Quantum circuits for simulations of quantum chemistry and materials.

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "repositories": [
    {
      "name": "Cirq",
      "description": "Python framework for creating, editing, and running Noisy Intermediate-Scale Quantum (NISQ) circuits.",
      "language": "Python"
    },
    {
      "name": "Stim",
      "description": "A fast stabilizer circuit library.",
      "language": "C++"
    },
    {
      "name": "chromobius",
      "description": "Open-source implementation of a Möbius decoder for color codes used in quantum error correction (QEC)",
      "language": "Python"
    },
    {
      "name": "Qualtran",
      "description": "Qᴜᴀʟᴛʀᴀɴ is a Python library for expressing and analyzing Fault Tolerant Quantum algorithms.",
      "language": "Python"
    },
    {
      "name": "tesseract-decoder",
      "description": "Search-based decoder for quantum error correction (QEC) written in C++ and Python.",
      "language": "C++"
    },
    {
      "name": "OpenFermion-PySCF",
      "description": "OpenFermion plugin to interface with the electronic structure package PySCF.",
      "language": "Python"
    },
    {
      "name": "OpenFermion-FQE",
      "description": "The Fermionic Quantum Emulator (FQE) is a fermionic simulation research tool specializing in quantum circuits.",
      "language": "Python"
    },
    {
      "name": "qsim",
      "description": "Fast C++ and Python library for state-vector simulation of quantum circuits.",
      "language": "C++"
    },
    {
      "name": "OpenFermion",
      "description": "Python package for compiling and analyzing quantum algorithms to simulate electronic structures.",
      "language": "Python"
    },
    {
      "name": "unitary",
      "description": "Open-source API library providing common operations for adding quantum behaviors to games.",
      "language": "OpenQASM"
    },
    {
      "name": "ReCirq",
      "description": "Python modules for quantum computing applications and experiments using Cirq. Research using Cirq!",
      "language": "Python"
    },
    {
      "name": "TypedUnits",
      "description": "A fast units and dimensions library with support for static dimensionality checking and protobuffer serialization.",
      "language": "Python"
    },
    {
      "name": "OpenFermion-Psi4",
      "description": "OpenFermion plugin to interface with the electronic structure package Psi4.",
      "language": "Python"
    },
    {
      "name": "qchack-2021-challenge",
      "description": "The <G|oogl|e> challenge for Quantum Coalition Hackathon 2021",
      "language": "Python"
    },
    {
      "name": "OpenFermion-Cirq",
      "description": "Quantum circuits for simulations of quantum chemistry and materials.",
      "language": "Python"
    }
  ],
  "total": 15
}

leads · leads-all

Every lead with its status; the counts add up to the total.

{"name":"leads","arguments":{}}

✓ as expected

leads · Every lead on quantumai.google (every page of its sitemap, read whole), its PDFs and the quantumlib repositories, with its status (served, partial, blocked, out of scope, or open: in the sitemap and not yet followed), the tool that serves it, and the reason where it is not served. The whole list is returned; nothing is truncated.

Leads

2700

Served

256

Partial

30

Blocked

8

Out of scope

112

Open

2294

Lead	Status	Tool	Statement
perspective-factorer	served	algorithm	The QPU as the factorer: Shor on the exact simulator for every N within its bound, and the bound itself the honest answer beyond it.
perspective-reflection	served	match	The QPU as the mirror: any statement reflected into its hidden factors, its angles against the bounds and its mirror queries, each a lead.
perspective-address	served	verify	The QPU as the address: one UUID that proves its seal, its content and its neighbours cheaply, tampering always slower than the original.
perspective-clay	served	clay	The QPU as the register: the Clay relations recomputed in exact integers, the σ-involution the universal core, in 33 bits.
perspective-language	served	translate	The QPU as the language machine: any language and dialect by vocabulary, offline and token-free, both ways, and prose programmed from a tool's answer.
perspective-imagination	served	imagine	The QPU as the imagination: every lead reflected, every schema door and application family a lead, and more the mind can imagine recorded as leads.
perspective-discovery	served	discover	The QPU as the discoverer: every host's contract read first, every door chosen by what it takes and answers.
perspective-judge	served	readiness	The QPU as the judge of itself: every lead served, refuted or in trial by measurement, and the unit told so.
perspective-database	partial	mongo	The QPU as the database: MongoDB's language over content-addressed entries, history kept by links, any document framework on the RAID.
perspective-harmonic	partial	audit	The QPU as the harmonic: a432 the key of every colour, the block's accent from the UUID's middle as CMYK, on every result.
perspective-tenants	partial	audit	The QPU as the host of tenants: one Worker, a docket per host, roles by token, a security collision answered as a procedure.
perspective-court	partial	readiness	The QPU before the court: the unit's honesty gate judges readiness, signs commits by sealed theorems and refuses what it cannot decide.
qpu-balancer-perspective	served	audit	In one perspective the QPU is the balancer of CPU, GPU and memory across the motherboard and beyond: a heavy computation is done once, addressed by its content, and every later call is served from memory — the computation inverted, the hardware cooled, the battery saved.
raid-virtualizes-os	open	—	Quantum apps on the RAID virtualise every operating system and whatever else the mind imagines: an OS image, its packages and its shell are entries and doors like any other, so an app runs from the docket on any host that mounts the toolboxes; development is traced only through leads.
payload-port-cloudflare	open	—	Payload CMS and its dependencies ported whole to Cloudflare Workers under nodejs_compat, its database adapter writing docket entries so that content, media and configuration live on the qpu RAID; every Payload collection and plugin then a toolbox of this surface and every other framework merged the same way, one combinatorial framework hosted on the RAID.
payload-db-adapter-docket	partial	mongo	Payload's mongodb database adapter ported over the docket: the raid toolbox evaluates MongoDB's query and update language as pure functions over content-addressed entries, so a Payload collection is a family of entries with links, parity and mirrors — the ported RAID MongoDB, not Cloudflare's documented D1 path.
payload-mcp-plugin-doors	open	—	If Payload publishes an MCP plugin, its endpoint is an MCP host the discover tool reads: a door per collection and verb, chosen by capability like every other door.
toolbox-remaining-scripts	partial	audit	Four of the flow's steps are tools of the flow toolbox with thin clients (discover, wave, readiness, imagine); purify, publish, next, the generators and the Lean ledger reader are still scripts: each reads files, git or the Lean environment that only a client can see.
worlds-linked	partial	translate	The platform links whole worlds in their languages and dialects: every world a tenant with its locale, its vocabulary table and its dialects, its entries related to other worlds' entries by links in the docket, so a term, a licence or a lead in one world is reachable from another in that world's words.
language-speech	partial	prose	From text to speech: the prose of any page or block spoken in the viewer's locale by the device's own voices (SpeechSynthesis), token-free and network-free.
language-video	open	—	From speech to video: captions, transcripts and scene entries of a video as docket entries in the world's language, linked to the video's address, so a video is searchable and translatable like text.
language-traditions	open	—	Traditions and relations: a world's terms related to each other (synonym, opposite, part of, before, after, tradition of) as a relation table beside its vocabulary, so a match in one world reflects through its own relations, and the Glagolitic and Cyrillic numerals are one such tradition already read.
legal-audit-sealed	served	legal	The legal and security audit runs on every next, through the unit's free doors by default (the operator alone overrides), is sealed by its content address over the SHA-256 of every input and answer, and is recomputed from its own stored answers on the next run: a different address is tampering, recorded as a lead.
unit-licence-address-unsealed	blocked	—	The unit's rights door names 9ffcda04-5adc-872e-9358-6b831bbd0c0d as the licence address, and the unit's forensic door says that address is not among its 71,035 sealed addresses: two doors of one unit disagree about its own licence.
aspects-by-theorems	open	—	Quality is proven by theorems, not by textbook examples; every textbook is respected, and an example that names the kernel-accepted theorem that makes it true is replaced by that theorem, unlocking the quantum capability it documents: an entry's idempotency by address, a signature verified only by its tenant's secret, a role never widened by another tenant's token, a licence valid only on the domains it names, a relation of the Clay register.
stripe-per-tenant	partial	stripe	Stripe per tenant for every scenario within a tenant and between domains and tenants: a checkout plan executed with the tenant's key, a webhook verified with the tenant's secret, one idempotent licence entry per event (granted, renewed, revoked, disputed, failed), a licence valid on the domains it names and read at any host, a replay a duplicate, a forged body or another tenant's secret refused as a lead.
edge-heavy-phases	partial	textbook	The whole textbook wave (every example matched with the reflection on) answers in 19 s on a client device and not at all within the Worker's budget at the edge (no answer in 30 s), while one match answers in half a second there: a heavy phase belongs to the device that asked, the edge answers it example by example.
vortex-digital-root	served	verify	The 9-vortex every tail is read into is the digital root (OEIS A010888, the sum of digits repeated to one digit, 9 for multiples of 9): seed = 1 + (n - 1) mod 9, its reflection 10 - seed, the doubling cycle 1, 2, 4, 8, 7, 5 and the trinities 3, 6, 9 and 7, 4, 1 and 2, 5, 8.
coins-accounted	served	metrics	The coins paid to the unit are accounted by the payer: every gated answer states its deposit at the wire (deposit 2, a gate, a receipt) and the unit's own register is per process and silent, so this tree reads the deposit from every answer its clients receive and keeps the ledger (docs/public/coins.ndjson), summed in the metrics by door and per settled lead; the fibonacci source the unit names (mod 9, period 24: 0, 1, 1, 2, 3, 5, 8, 4, 3, 7, 1, 8, 0, 8, 8, 7, 6, 4, 1, 5, 6, 2, 8, 1) is recorded as it answers, 3, 5, 8 following the 2 of every deposit.
metaphysical-apis	served	discover	The metaphysical APIs found: the unit's doors for the vortex (1, 2, 4, 8, 7, 5), its reflection (forward and reflected, an involution with pairs summing to 10), the units (1, 2, 4, 5, 7, 8), the triad (3, 6, 9), the double torus of any addresses, the pentagram and the fibonacci cycle; discovery lists them as the metaphysics capability, and readiness asks the reflection, the triad and the double torus each run against the tree's own vortex.
unit-triad-one-sided	blocked	—	The unit's triad door answers 3, 6, 9 and not the 7, 4, 1 they reflect into at the same time under σ_10, so a computation built on that answer keeps half of what the involution says and gaps remain; this tree now carries both for every seed (triad_reflect, triad_sum, key_trinity, sigma_ten_involution, kernel-checked) and the tuning 432 sits in the trinity 3, 6, 9.
double-torus-trinities	open	—	Prime factors hide beyond the reflection, and the sequence reflected in double-torus combinations of trinities explains all at the Lean binary level: the factoring the simulator cannot reach within its bound would be read from the σ-reflection of periods arranged on the double torus of the triad.
unit-missions-are-its-own	blocked	—	Asked through the connector what is next, the unit answers with its own 293 missions (28 findings to seal, 136 bounds to decide, 129 symbol legs), none about this tree, and its predict_gaps door throws at the edge ("process is not defined"): the next step of this tree is read from its own leads and metrics, the unit's doors name the unit's.
rbac-payload-mcp	partial	audit	Every MCP server's roles managed in one place by a Payload MCP plugin and asked over MCP itself: the Worker calls the RBAC host's role door with the token, the tenant and the host, and only falls back to the tenant secrets when no host is configured or it is silent.
payload-cms-host	open	—	A Payload CMS instance is one more host to the discover tool: its MCP plugin endpoint lists a door per collection and verb (find, create, update, delete), its GraphQL endpoint answers introspection (a contract the discover tool now detects), its REST routes answer per collection; each collection would be a toolbox of its own, its skill the collection's schema, access rules and hooks.
payload-cms-default-plugins	open	—	Everything fits in Payload's default shapes with no custom collection: nested docs for the tree of pages and leads, SEO for every page's Open Graph from its UUID, localisation for every world's language, the lexical editor for prose, and shadcn blocks as the programmable blocks every tool result already is — the same blocks serving as hooks (a block that runs a tool), scopes (a block that bounds a tenant or a role) and relations (a block that links entries). MCP configures the default plugins in all their combinations: the toolboxes' doors are the configuration, read by discovery, never typed.
cleanup-auto-release-script	out_of_scope	—	A release script with VERSION hard-coded to 1.1.0 that force-pushed a tag and created a GitHub release; it bypassed the single-source version and the flow.
cleanup-next-build-dir	out_of_scope	—	A Next.js build directory left by the orphan lineage, where it reached 1.1 GB; nothing on this branch builds with Next.
cleanup-stale-branches	out_of_scope	—	Two local branches from an earlier attempt at the same split: the same content as origin/main on a rewritten history, one tracking 237k build-artefact files.
cleanup-census-consolidated	out_of_scope	—	A census script printing counts beside a ledger script printing every theorem: two readers of one environment.
cleanup-fnv1a-consolidated	served	verify	A 32-bit FNV-1a hash beside the unit's 64-bit fold: two folds for one job.
human-device-blocks	served	audit	Every tool result is a block a human device renders: HTML on the host's design tokens, Open Graph metadata for a link preview, a shadcn registry item for an app, the attribution line, the a432 accent. Screen, phone, kiosk or chat host, the same block.
mcp-ui-extension	partial	audit	The MCP UI extension lets a host render interactive views a server declares; this tree declares its widgets in _meta.widget as HTML and its blocks as shadcn registry items.
iot-adapter-cluster	open	—	Any device is an adaptor: a sensor or actuator writes readings as entries { kind: reading, from: device, body } to the docket and reads commands back from it; the docket is agnostic, so a cluster of devices is a cluster of mirrors and writers, each entry fingerprinted, sealed, replicated and healable.
device-reading-verifier	open	—	A device reading is verified like any fact: against a public reference where one exists (a weather station against a national service, a clock against NTP, a spectrum against NIST lines).
accessibility-device	served	audit	A human device includes a screen reader, a braille display, a voice assistant: the block's HTML carries structure and text, so the same block is spoken or read; the a432 accent is decoration a reader can ignore.
pliska-rosette-rays	served	clay	Seven rays is the lattice's rays constant (n + coins + coins); the unit's aura door folds the seven rosette rays as bands and the ZZ/9 vortex as the wave, and states that this is artistic arithmetic, not physics.
glagolitic-numerals	served	match	A Glagolitic string is an integer sequence, as a hex program and a message tail are: a finite alphabet with values is an addressable state space, so a text in that alphabet could be a program and a tail that unfurl into a page.
glagolitic-above-thousand	open	—	Glagolitic values above Ⱍ = 1000 (the letters after Črьvъ) and the titlo mark that multiplies by a thousand
gap-fanout-receiver	blocked	—	The unit fans out to qpu.uuidna.com/mcp; the public host answers, the unit's fan-out receives a 404 from somewhere else.
gap-shared-docket	partial	mongo	A docket is deployed on both domains; receipts, commitments and leads can be exchanged there; the unit has not yet written to it.
gap-time-witness	open	—	A receipt is dated by its own clock; the unit could date qpu's receipts by signing their ids, and qpu the unit's, so time has two witnesses.
gap-sign-door-hosted	blocked	—	The unit signs a commit message through the connector (VERIFIED, 2026-10-25) but its hosted door answers HTTP 500 (Worker exception) to the same tools/call over raw HTTP, with or without an MCP session; the hosted server names itself a read-only recomputable subset
gap-theorems-unsealed	blocked	—	Commit signatures cite the unit's sealed theorems; none of qpu's 976 kernel constants is sealed in the unit's ledger, so qpu's own proofs are not yet citable at the border.
gap-circuit-crossing	open	—	The unit returns circuits and outcomes; this tree runs circuits on its simulator. Neither has run the other's circuit and compared marginals: the real cross-domain quantum check.
gap-mcp-referer	served	verify	A tools/call may carry prev in its _meta; the result echoes it and the block's Open Graph carries it as see_also, so a chain of calls knows its previous step across domains.
gap-verdict-vocabulary	served	match	The unit says VERIFIED / UNVERIFIED / REFUTED and PROVEN / NOT-PROVEN; this tree says served / impossible / unknown. A mapping table translates a verdict crossing the border.
address-agreement	partial	audit	The unit names a value by compute_address; this tree names content by uuidOf, ported one for one from the unit's published shapeUuidOf (two FNV-1a 64 folds, 8-4-4-4-12, a content-decided version nibble). For the probe "qpu" the two differ, so the door uses a builder outside the sources this tree can read.
pravets-8m-recompute	partial	clay	The 54 Clay.lean relations are integer identities between the unit's constants whose widest value needs 33 bits (amplitudes = 2^32), three 16-bit limbs; the receipts are 64-bit folds beside SHA-256: an 8-bit machine such as the Pravets 8M can recompute the register in 16-bit software arithmetic and compare content addresses, verifying that the kernel check happened without running the kernel.
qpu-extends-every-mcp	served	extend	QPU is the natural extension of every MCP and every MCP of QPU: a host's tools/list read into doors of this catalogue (extend, direction in), a foreign door served by one request the client fetches with the tenant's token, this catalogue mounted by any MCP client (extend, direction out); Cloudflare's eight servers are extended by default, the documentation one in the open, the other seven when a tenant brings its OAuth token
e2e-textbook-verify-edge	open	—	The end-to-end gate measured textbook { verify: true } answering nothing at the edge within 30 s on all three hosts (an erasure on every copy; the tree computes it); the verification wave over every example exceeds what one Worker request may compute
coins-set-entanglement-teleport-free	served	metrics	The coins pay to set the entanglement once: a block is computed once (a balancer miss, a coin at a gated door) and from then every analog is teleported free — by address here (a balancer hit), by involution at the edge (304 to the content hash the request names, no body computed or sent) — until the load is paid again; the metrics tool measures paid and free (load.paid, load.free, load.involutions)
digits-zero-to-nine-all-used	served	css	All the digits 0 to 9 are used: the sequence allows reflections on the whole of [0, 10] — σ₁₀(x) = 10 − x is an involution for every x ≤ 10 (kernel-accepted), so the seed 0 reflects to 10 (digital root 1) and no digit is left out of the vortex; the theme reflects seed 0 so
versions-define-development	served	configure	Quantum versioning and Payload versioning over the RAID: versions coexist by content addressing (a shell per version, the ETag the content hash), every document version a docket entry never overwritten (no cap per document), so a provider is added or moved at 100 % uptime — deploy beside, mirror by address, decode old and new as copies through the gate, route, roll back by routing back; versions define development (the open leads at a version are its plan) and development defines versions (the next number from what the catalogue changed since the last tag); the number stays as low as the architecture allows — single digits per component, a patch never moving it (its change is a content address carried as build metadata), the minor carrying into the major at 10, the major past 9 returning to 1 with the epoch counted — so every single-digit combination lives for ever
unit-predict-gaps-door-edge	blocked	—	The unit's predict_gaps door, asked for every likelihood through the connector on 2026-10-25, answered "process is not defined": the door reads Node's process at the edge, where none exists; the unit's own gap prediction cannot be read until the door is made agnostic of its host (the same law this tree's toolboxes follow); the research ledger door answered, naming one gap of its own (an unread Savonius source)
flow-waves-multitasking	served	metrics	Quantum multitasking is the natural speedup: the flow runs the steps that need nothing from each other at once, in seven waves (generators; typecheck, tests, Lean, audit; imagine, discover, verify, readiness, e2e, repository, legal; textbook; purify, metrics; the site; trunk, publish), and the receipt measures the speedup as the steps' summed time over the wall time
flow-teleportation-signalling	served	metrics	Multitasking combined with teleportation signalling: a block computed by one step of the flow is teleported to the next at no cost (a cache by block address shared between the steps' processes, as the Worker teleports by content hash with 304) and every step signals what it settled through the receipts stream so no step recomputes what another just did; served by scripts/teleport.ts: every step imports it first, loads the blocks earlier steps left in docs/public/blocks (cleared at the start of each run, since a block from an earlier run was computed by earlier code) and leaves its own at exit, one file per process so steps running at once never overwrite each other; the handler stays pure and only exposes balancerSnapshot and balancerLoad; the metrics count balancerTeleported and balancerTeleportHits
github-mcp-integrated	partial	repository	GitHub's hosted MCP is integrated: discovered by default, the repository toolbox watches branches, tags and releases through its doors list_branches, list_tags and list_releases (via: mcp) when the tenant's token QPU_MCP_TOKEN_API_GITHUBCOPILOT_COM opens it, the event-stream answers read into the same watch; without the token the REST contract serves and the door stays named
cloudflare-mcps-integrated	partial	extend	Cloudflare's eight MCP servers are integrated: all discovered by default, the documentation server a verifier adapter in the open, each of the other seven mapped to the tree's capability it serves once the tenant's token opens it (bindings → the docket's mirrors, observability → the metrics, browser → the wave, radar → the audit, ai-gateway → the prose, dns-analytics → the tenants, autorag → the textbook), the map answered by extend as the integration matrix
unit-quantum-advantage-door-edge	partial	metrics	The unit's get_quantum_advantage door answers that the edge does not hold the whole ledger (40 MB of rows in a 128 MB isolate); involuted, the advantage is read from the piece the edge holds: bill_call { recomputeOps, verifyOps } answers the advantage per call — for the last gate, 504 copies a classical rerun would compute against 439 proven by hash: advantage 65, free, receipt 9896c045-df1c-8b01-8d8d-4812aac7d9d9 — and the flow's metrics step asks it with every run's own counts, the coin accounted
nist-pqc-standards	served	seal	NIST's first post-quantum standards, read at CSRC on 2026-10-25: FIPS 203 (ML-KEM, key encapsulation), FIPS 204 (ML-DSA, signatures) and FIPS 205 (SLH-DSA, hash-based signatures), each published August 13, 2024; HQC selected for standardisation on March 11, 2025 (NIST IR 8545); discovery reads the four CSRC pages as the standards nist-fips-203, nist-fips-204, nist-fips-205 and nist-pqc, and the seal tool carries the reading
pqc-signature-over-folds	open	—	A signature over a fold with ML-DSA (FIPS 204) or SLH-DSA (FIPS 205): the seal here is SHA-256 and HMAC-SHA256, symmetric, where Grover halves the bits and 256 keep 128, and no public-key step falls to Shor; a post-quantum signature a tenant could verify without the key is not implemented
payload-skills-used	served	payload	Payload's skills for agents are used through the QPU: discovery reads the repository tree as the standard payload-skills on every run, and payload { skills } maps each skill (payload, cms-migration) and each reference (access control, adapters, collections, endpoints, fields, hooks, plugin development, queries, the field reference) to the tool of this tree that enacts it; the repository declares no licence, so names, paths and sizes are read as facts and no text is carried
leads-discover-related-mcps	served	discover	Leads first discover related MCPs, then use them via qpu: discover { lead } asks the public MCP registry with the lead's own words before any guess, reads the servers it names and emits the tools/list request that extends each remote through this catalogue; the discover step does it for every open hand-written lead within the quantum, cached a day, and writes related-mcps.json and the Related MCPs page
payload-website-reference	served	payload	payloadcms.com is the example of what Payload can do, verified at its source: twelve collections, thirty blocks, seven globals, ten fields and one plugin of its own under src; its config mounts form-builder, nested-docs, redirects and seo with the lexical editor's BlocksFeature on MongoDB; the live page's block types (contentGrid, cta) have their blocks in the source; discovery reads the tree as the standard payload-website, and payload { website } carries the reading beside the plugins MCP configures here (four shared, search, multi-tenant and mcp beyond)
qpu-fullstack-on-payload-website	partial	configure	QPU's full stack is the source of payloadcms.com, forked beside the old site: its twelve collections, thirty blocks, globals and fields kept; the qpu block registered (payload.config blocks, the pages layout, the RenderBlocks map) and rendered by asking the Worker for the block; /u/<uuid> in the app teleported from the Worker; search and multi-tenant added to its four plugins through the generated fragment; the database the RAID docket through the mongo tool's language
old-site-removal-gated	open	—	The old solutions (the VitePress site under docs/, its service worker and generated pages) are removed when the forked full stack answers the same addresses: the gate decodes the app's /u pages and the Worker's as copies of one value; until every combination agrees the old site serves beside the new, at whole uptime
fork-licence-layering	served	configure	The fork of payloadcms/website stays MIT with Payload's copyright whole, and what QPU adds to it carries QPU's licence (CC-BY-NC-ND-4.0 © Tsvetan Rouschev), named in the first line of every added file and listed in NOTICE.qpu.md; the two meet at the file boundary and the served site carries both notices
unit-due-process-2026-10-25	served	legal	The unit's due process, asked before this run: 71,035 theorems verified, 0 unverified; the six guarantees each a sealed theorem (one verdict per claim, only the proven admitted, the non-justiciable never refuted, refuted iff a decidable test fails uncited, remand total, the trial computes only with two coins); no gaps, no traitors; receipt 782bbcec-a40b-8de3-a4e6-6e8870efbc77 — the unit names nothing for this tree to do next; this tree's own leads are its next
textbook-axioms-replaced-by-theorems	served	textbook	The axioms found in the textbook: Lean holds none (0 axiom, 0 sorry); 77 of 82 examples were asserted without a theorem, 39 of them asserting integer facts. Replaced where the facts stand in an arithmetic relation of the model: ten theorems in Qpu/Textbook.lean, generated from a table before Lean builds and accepted by the kernel (2^8 = 256 configurations, 7 × 2 = 14 prices, 32 + 4 = 36 a UUID, s + (10 − s) = 10 the reflection, i + (n − i) = n the fold's mirror, 8 + 1 = 9 integrations, 2 + 1 = 3 providers, 4 + 3 + 1 = 8 plugins, 2 + 12 = 14 documents, eight of eight closed); 16 examples now name their theorem; the rest stay the textbook, respected, each a lead
textbook-theorems-via-payload-mcp	partial	payload	The replacement runs through the Payload MCP plugin as a client: payload { theorems, payloadUrl } plans the calls, picks the pages collection's find and update doors by what they take (a slug with a where; a slug with an id and data), never by a name, finds every page whose layout holds a qpu block without a theorem, and emits the update that writes the kernel-accepted key its example names into the block's theorem field (the block now carries one); proven on the plugin's documented shapes by two examples
claude-api-fused	partial	extend	The Claude API is fused as every MCP is: discovery reads its overview as a standard and names its Models door (401 until the tenant's key); outward, extend answers the Messages API registration that mounts this catalogue through the MCP connector — mcp_servers [{ type: url, url: https://qpu.uuidna.com/mcp, name: qpu }] with tools [{ type: mcp_toolset, mcp_server_name: qpu }] under the beta mcp-client-2025-11-20, the model claude-opus-5-5 — so a Claude request extends the QPU and the QPU extends Claude; inward, the legal audit and the prose tool take it as an operator agent only when the operator names it and the tenant's key is in the client's request, the free doors never overridden
willow-spec	served	processor	Willow: 105 qubits, the grid, two chips with their figures
willow-blog	served	processor	Willow error correction below threshold; random circuit sampling
magic-state	served	processor	40-fold error reduction, 99.99% logical fidelity, color code to surface code
echoes-blog	served	echo_benchmark	OTOC protocol on the 105-qubit array; 13,000x; molecules of 15 and 28 atoms
echoes-preprint	served	statements	The Quantum Echoes preprint and its abstract
echoes-protocol	served	echo	forward, perturb, backward, measure, repeated k times
roadmap	served	roadmap	Six milestones, physical-qubit scale, Milestone 3 in progress
applications	served	roadmap	Predicted applications by physical-qubit band, 50k to 50M
neutral-atoms	served	statements	Expansion to neutral atoms; no Google device figures stated
early-access	served	statements	Willow Early Access Program, deadline May 15, 2026
software	served	software	Cirq, qsim, Qualtran, OpenFermion, TensorFlow Quantum
cirq-overview	served	statements	Cirq is a Python library for writing, manipulating and optimizing circuits
cirq-circuits	served	circuit	Circuits, moments, append and insert, the four insert strategies
cirq-devices	served	circuit	Device constraints: validate_operation, validate_moment, validate_circuit, qubit set, couplers
cirq-simulation	served	circuit	State-vector and density-matrix simulators; expectation values
cirq-noise	served	circuit	The named noise channels: bit_flip, phase_flip, phase_damp, amplitude_damp, depolarize, reset, asymmetric_depolarize, generalized_amplitude_damp
qvm	served	circuit	Virtual processor: a device with noise. The Willow noise is completed from the spec sheet's published medians (single-qubit depolarizing at 1.5 × the gate error, two-qubit at 0.75 × per qubit), which reproduces the sheet's single-qubit error exactly; Google's per-qubit calibration, T1 and readout are not on any public page, so they are not applied
textbook-algorithms	served	algorithm	Teleportation, QFT and its inverse, phase estimation, Grover on two qubits
qaoa	served	algorithm	QAOA max-cut at p = 1 on Sycamore: the first twelve sorted qubits, their couplers in networkx order, numpy's seed-11 weights (reproduced exactly), the 5 by 5 sweep, and the estimate_cost objective sampled at 20,000 shots
shor	served	algorithm	Shor's order finding, the later use of phase estimation the page names
qsim	served	statements	qsim: a fast state-vector simulator with a Cirq interface, Apache-2.0
research	partial	statements	Research publications: the page's title and description
echoes-nature	served	statements	103-qubit superconducting processor; second-order OTOC; the Nature paper's claims, with the preprint's stated figures
willow-nature	served	processor	distance-5 and distance-7 memories; Λ = 2.14 ± 0.02; a 101-qubit distance-7 code; 0.143% logical error per cycle; 63 μs decoder latency
learn-map	partial	statements	Our quantum computing journey: the page's title and description
campus-announcement	served	statements	The campus announcement: the data center, labs, fabrication and the 1,000,000-qubit target
sycamore-gates	served	statements	Sycamore's two-qubit gates and their durations
sycamore23	served	processor	Sycamore23: the 23-qubit subset of Sycamore
qualtran	served	statements	Qualtran: abstractions for quantum programs and a library of algorithms, experimental
openfermion	served	statements	OpenFermion: compiling and analyzing quantum algorithms to simulate fermionic systems
cirq-noise-source	served	circuit	The noise channel definitions, checked against Cirq's source: bit_flip, phase_flip, depolarize, asymmetric_depolarize, phase_damp, amplitude_damp, generalized_amplitude_damp, reset
cirq-insert-source	served	circuit	The four insert strategies, checked against Cirq's source
repo-cirq	served	repositories	Cirq: the NISQ circuit framework
repo-stim	served	repositories	Stim: a fast stabilizer circuit library
repo-chromobius	served	repositories	chromobius: a Möbius decoder for color codes
repo-qualtran	served	repositories	Qualtran: fault-tolerant quantum algorithm abstractions
repo-tesseract-decoder	served	repositories	tesseract-decoder: a search-based QEC decoder
repo-openfermion-pyscf	served	repositories	OpenFermion-PySCF: the PySCF plugin
repo-openfermion-fqe	served	repositories	OpenFermion-FQE: the fermionic quantum emulator
repo-qsim	served	repositories	qsim: the state-vector simulator
repo-openfermion	served	repositories	OpenFermion: compiling quantum algorithms for electronic structure
repo-unitary	served	repositories	unitary: quantum behaviours for games, as an OpenQASM API library
repo-recirq	served	repositories	ReCirq: Cirq experiments and research modules
repo-typedunits	served	repositories	TypedUnits: a units and dimensions library
repo-openfermion-psi4	served	repositories	OpenFermion-Psi4: the Psi4 plugin
repo-qchack-2021-challenge	served	repositories	qchack-2021-challenge: the Quantum Coalition Hackathon 2021 challenge
repo-openfermion-cirq	served	repositories	OpenFermion-Cirq: quantum circuits for chemistry and materials simulation
repo-github	out_of_scope	—	organization configuration: the profile README, a markdownlint configuration and a code of conduct
repo-allstar	out_of_scope	—	organization configuration: the default Allstar policy files
cirq-pauli	served	statements	the page's stated content, served as the pauli_observables statement
cirq-noise-representation	served	statements	the page's stated content, served as the noise_representation statement
cirq-histograms	served	statements	the page's stated content, served as the histograms statement
cirq-transformers	served	statements	the page's stated content, served as the transformers statement
cirq-custom-transformers	served	statements	the page's stated content, served as the custom_transformers statement
cirq-kpz	served	statements	the page's stated content, served as the kpz_experiment statement
cirq-echoes-tutorial	served	statements	the page's stated content, served as the echoes_tutorial statement
cirq-qcqmc	served	statements	the page's stated content, served as the qcqmc statement
cirq-hfvqe	served	statements	the page's stated content, served as the hfvqe statement
cirq-hardware-changes	served	statements	the page's stated content, served as the hardware_changes statement
cirq-google-concepts	served	statements	the page's stated content, served as the google_concepts statement
qsim-hardware	served	statements	the page's stated content, served as the qsim_hardware statement
openfermion-projects	served	statements	the page's stated content, served as the openfermion_projects statement
cirq-basics	served	statements	the page's stated content, served as the cirq_basics statement
qsimcirq-tutorial	served	statements	the page's stated content, served as the qsimcirq statement
openfermion-basis-change	served	statements	the page's stated content, served as the basis_change statement
sitemap	served	leads	The site's sitemap, read whole on 2026-10-25: an index naming one child of 1,120,891 characters listing 2,491 pages, every one of them a lead here
learn	blocked	—	Learn overview
lab	served	statements	Discover the Quantum AI campus: the Santa Barbara campus, its quantum data center, labs and fabrication
sycamore	served	processor	Sycamore: 54 qubits and 88 couplers, its printed layout, its two-qubit gates
quantum-computer	served	statements	Superconducting hardware, cryogenic environment, Santa Barbara
what-is-qc	served	statements	What quantum computing is: superposition, interference, the problems expected
progress-pdf	served	statements	Progress since 2014, Milestones 1 and 2
vision-pdf	served	statements	Classical and quantum computers together
responsibility-pdf	served	statements	Honest reporting, RSA risk, post-quantum cryptography, SPHINCS+, collaboration
coursera	served	statements	The Resources page's description of the course: a free introduction to quantum error correction, hands-on with Stim and Crumble
videos	partial	statements	Educational videos: how-to videos on programming quantum computers, scientific breakthroughs, and new tools
careers	out_of_scope	—	Careers
qpu-quantumlib	served	quantumlib	The quantumlib GitHub organization: fifteen active repositories for quantum computing, with what this repository implements of each
cirq-framework	served	quantumlib	Cirq: a Python framework for quantum circuit design, optimization, and simulation
qsim-simulator	served	quantumlib	qsim: a high-performance quantum circuit simulator with C++ backend and Cirq interface
qualtran-algorithms	served	quantumlib	Qualtran: abstractions and libraries for writing fault-tolerant quantum algorithms
openfermion-simulation	served	quantumlib	OpenFermion: a library for simulating fermionic systems with quantum computers
stim-stabilizer	served	quantumlib	Stim: a high-performance stabilizer code simulator
chromobius-decoder	served	quantumlib	chromobius: a Möbius decoder for color code quantum error correction
recirq-experiments	served	quantumlib	ReCirq: research modules and experiment implementations using Cirq
tesseract-qec-decoder	served	quantumlib	tesseract-decoder: a search-based quantum error correction decoder
openfermion-pyscf	served	quantumlib	OpenFermion-PySCF: plugin for the PySCF computational chemistry package
openfermion-fqe	served	quantumlib	OpenFermion-FQE: the fermionic quantum emulator for exact simulations
openfermion-cirq	served	quantumlib	OpenFermion-Cirq: quantum circuits for chemistry and materials simulation
unitary-library	served	quantumlib	unitary: an API library of common operations for adding quantum behaviours to games
typedunits-library	served	quantumlib	TypedUnits: a Python library for type-safe unit and dimension calculations
quantumlib-ecosystem	served	quantumlib	The quantumlib ecosystem: Cirq as foundation, qsim for simulation, Qualtran for algorithms, OpenFermion for chemistry, Stim for error correction
cirq-google-integration	partial	circuit	Cirq-Google: integration with Google Quantum AI hardware and the Willow processor
quantumlib-documentation	partial	leads	Quantumlib documentation: tutorials, API references, and examples for all packages
error-correction-threshold	served	processor	Error correction below threshold: the logical error falls as the code distance grows, Λ = 2.14 per distance step
magic-state-cultivation-lead	served	processor	Magic state cultivation: 40-fold error reduction, 99.99% logical fidelity, color code to surface code transition
neutral-atom-expansion	served	statements	Neutral atom quantum computers: expansion beyond superconducting to alternative qubit platforms
quantum-advantage-verification	served	echo_benchmark	Quantum advantage verification: the OTOC protocol on the 105-qubit array, stated as the first verifiable quantum advantage
cryogenic-engineering	served	statements	Cryogenic engineering: superconducting qubits need specialized cryogenic environments and custom control electronics; the cryostats reach about 10 millikelvin
qubit-scaling-architecture	served	processor	Qubit scaling and chip architecture: qubit quality improved while the count grows; Willow has 105 qubits per its spec sheet (the v1.1.0 lead said 70+, the 2023 chip's count)
tunable-coupler-dynamics	served	statements	Tunable qubits and couplers: dynamic performance adjustment and optimization for faster gates and operations
gate-development	served	processor	Gate development and calibration: the single- and two-qubit gate errors the spec sheet states, applied as noise by the circuit tool
chip-fabrication-precision	served	statements	Chip fabrication and calibration: Willow built in the Santa Barbara fabrication facility; error correction informs chip architecture, gate development, fabrication and calibration
full-stack-integration	served	statements	Full-stack integration: hardware, control and decoding electronics, cryostats, the operating system and user-facing software
hybrid-quantum-classical	served	algorithm	Hybrid quantum-classical algorithms: a classical outer loop over quantum expectation values, the QAOA sweep and the VQE sweep
chemistry-simulation-lead	partial	chemistry-simulation	Chemistry simulation: H₂ in STO-3G as a two-qubit Pauli Hamiltonian, its integrals computed here and checked against the tutorial's printed energies, and a VQE sweep on the simulator
quantum-error-correction-course	served	statements	Quantum error correction education: a hands-on Coursera course on QEC for all skill levels, with Stim and Crumble
qubit-game-interactive	served	statements	Interactive learning: the Qubit Game, building a quantum computer one qubit at a time, from keeping qubits cool to blocking cosmic rays
lab-tour-virtual	served	statements	Virtual lab tour: the Santa Barbara campus, from space down to the cryostat
error-correction-journey	served	statements	Error correction journey: from the NISQ era to the mountain of error correction, as the Resources page and the journey page state it
educational-videos	partial	statements	Educational videos: how-to guides on programming quantum computers, breakthroughs, and new tools
superconducting-qubit-focus	served	statements	Superconducting qubit focus: specialized cryogenic environments and custom control electronics
santa-barbara-campus	served	statements	Santa Barbara quantum campus: hardware teams, fabrication facility, data center, research labs
willow-design-principles	served	processor	Willow design: 105 qubits per the spec sheet (the v1.1.0 lead said 70, the 2023 chip's count), tunable qubits and couplers, the full-system approach to error correction
calibration-software	served	statements	Calibration and error correction software: managing the entire quantum system and control electronics
resources	served	statements	Educational Resources: the Coursera course, the whitepaper, the lab tour, the videos, the journey and the Qubit Game, as the page lists them
qec-milestone	served	statements	Milestone 2: the first demonstration of a logical qubit prototype, with the Nature paper the page links
weber-datasheet	served	statements	The Weber processor datasheet (May 14, 2021): 53 qubits, gate durations, typical errors and T1
aps-summit	served	statements	The APS Global Physics Summit event pages: sessions, booth, the Willow Early Access Program announcement
student-opportunities	out_of_scope	—	Student opportunities: the student researcher program, internships of 12 to 14 weeks, the PhD fellowship
home	served	statements	The home page: Willow, Quantum Echoes, the Nature papers and the Early Access Program it links
qubit-game-page	served	statements	The Qubit Game: "Build a quantum computer, one qubit at a time."
learn-lab	served	statements	Discover the Quantum AI campus: the virtual walk through the headquarters
page:?hl=es-419	out_of_scope	—	the home page in another language (es-419)
page:?hl=tr	out_of_scope	—	the home page in another language (tr)
page:cirq/build	open	—	the page cirq/build
page:cirq/build/classical_control	open	—	the page cirq/build/classical_control
page:cirq/build/custom_gates	open	—	the page cirq/build/custom_gates
page:cirq/build/ecosystem	open	—	the page cirq/build/ecosystem
page:cirq/build/gates	open	—	the page cirq/build/gates
page:cirq/build/interop	open	—	the page cirq/build/interop
page:cirq/build/operators	open	—	the page cirq/build/operators
page:cirq/build/protocols	open	—	the page cirq/build/protocols
page:cirq/build/qubits	open	—	the page cirq/build/qubits
page:cirq/build/qudits	open	—	the page cirq/build/qudits
page:cirq/citation	open	—	the page cirq/citation
page:cirq/dev/development	open	—	the page cirq/dev/development
page:cirq/dev/gates	open	—	the page cirq/dev/gates
page:cirq/dev/modules	open	—	the page cirq/dev/modules
page:cirq/dev/nomenclature	open	—	the page cirq/dev/nomenclature
page:cirq/dev/notebooks	open	—	the page cirq/dev/notebooks
page:cirq/dev/plotting	open	—	the page cirq/dev/plotting
page:cirq/dev/release	open	—	the page cirq/dev/release
page:cirq/dev/rfc_process	open	—	the page cirq/dev/rfc_process
page:cirq/dev/serialization	open	—	the page cirq/dev/serialization
page:cirq/dev/style	open	—	the page cirq/dev/style
page:cirq/dev/support	open	—	the page cirq/dev/support
page:cirq/dev/triage	open	—	the page cirq/dev/triage
page:cirq/dev/versions	open	—	the page cirq/dev/versions
page:cirq/experiments	open	—	the page cirq/experiments
page:cirq/experiments/Readout-Analysis	open	—	the page cirq/experiments/Readout-Analysis
page:cirq/experiments/Readout-Data-Collection	open	—	the page cirq/experiments/Readout-Data-Collection
page:cirq/experiments/benchmarks/rabi_oscillations	open	—	the page cirq/experiments/benchmarks/rabi_oscillations
page:cirq/experiments/best-practices	open	—	the page cirq/experiments/best-practices
page:cirq/experiments/data-collection-idioms	open	—	the page cirq/experiments/data-collection-idioms
page:cirq/experiments/fermi_hubbard	open	—	the page cirq/experiments/fermi_hubbard
page:cirq/experiments/fermi_hubbard/experiment_example	open	—	the page cirq/experiments/fermi_hubbard/experiment_example
page:cirq/experiments/fermi_hubbard/publication_results	open	—	the page cirq/experiments/fermi_hubbard/publication_results
page:cirq/experiments/fourier_checking	open	—	the page cirq/experiments/fourier_checking
page:cirq/experiments/ftbbl	open	—	the page cirq/experiments/ftbbl
page:cirq/experiments/guide/best_practices	open	—	the page cirq/experiments/guide/best_practices
page:cirq/experiments/guide/data_analysis	open	—	the page cirq/experiments/guide/data_analysis
page:cirq/experiments/guide/data_collection	open	—	the page cirq/experiments/guide/data_collection
page:cirq/experiments/guide/data_collection_idioms	open	—	the page cirq/experiments/guide/data_collection_idioms
page:cirq/experiments/hfvqe	open	—	the page cirq/experiments/hfvqe
page:cirq/experiments/hfvqe/molecular_data	open	—	the page cirq/experiments/hfvqe/molecular_data
page:cirq/experiments/hidden_linear_function	open	—	the page cirq/experiments/hidden_linear_function
page:cirq/experiments/kpz	open	—	the page cirq/experiments/kpz
page:cirq/experiments/lattice_gauge/lattice_gauge	open	—	the page cirq/experiments/lattice_gauge/lattice_gauge
page:cirq/experiments/otoc	open	—	the page cirq/experiments/otoc
page:cirq/experiments/otoc/otoc_example	open	—	the page cirq/experiments/otoc/otoc_example
page:cirq/experiments/qaoa	open	—	the page cirq/experiments/qaoa
page:cirq/experiments/qaoa/binary_paintshop	open	—	the page cirq/experiments/qaoa/binary_paintshop
page:cirq/experiments/qaoa/example_problems	open	—	the page cirq/experiments/qaoa/example_problems
page:cirq/experiments/qaoa/hardware_grid_circuits	open	—	the page cirq/experiments/qaoa/hardware_grid_circuits
page:cirq/experiments/qaoa/landscape_analysis	open	—	the page cirq/experiments/qaoa/landscape_analysis
page:cirq/experiments/qaoa/optimization_analysis	open	—	the page cirq/experiments/qaoa/optimization_analysis
page:cirq/experiments/qaoa/precomputed_analysis	open	—	the page cirq/experiments/qaoa/precomputed_analysis
page:cirq/experiments/qaoa/qaoa_ising	open	—	the page cirq/experiments/qaoa/qaoa_ising
page:cirq/experiments/qaoa/routing_with_tket	open	—	the page cirq/experiments/qaoa/routing_with_tket
page:cirq/experiments/qaoa/tasks	open	—	the page cirq/experiments/qaoa/tasks
page:cirq/experiments/qcqmc	open	—	the page cirq/experiments/qcqmc
page:cirq/experiments/qcqmc/experimental_wavefunctions	open	—	the page cirq/experiments/qcqmc/experimental_wavefunctions
page:cirq/experiments/qcqmc/high_level	open	—	the page cirq/experiments/qcqmc/high_level
page:cirq/experiments/qec_memory/surface_code_lambda	open	—	the page cirq/experiments/qec_memory/surface_code_lambda
page:cirq/experiments/quantum_walks	open	—	the page cirq/experiments/quantum_walks
page:cirq/experiments/random_circuit_sampling/rcs_experiment_demonstration	open	—	the page cirq/experiments/random_circuit_sampling/rcs_experiment_demonstration
page:cirq/experiments/research	open	—	the page cirq/experiments/research
page:cirq/experiments/time_crystals/time_crystal_circuit_generation	open	—	the page cirq/experiments/time_crystals/time_crystal_circuit_generation
page:cirq/experiments/toric_code	open	—	the page cirq/experiments/toric_code
page:cirq/experiments/toric_code/toric_code_ground_state	open	—	the page cirq/experiments/toric_code/toric_code_ground_state
page:cirq/experiments/unitary/quantum_chess	open	—	the page cirq/experiments/unitary/quantum_chess
page:cirq/experiments/unitary/quantum_chess/concepts	open	—	the page cirq/experiments/unitary/quantum_chess/concepts
page:cirq/experiments/unitary/quantum_chess/quantum_chess_client	open	—	the page cirq/experiments/unitary/quantum_chess/quantum_chess_client
page:cirq/experiments/unitary/quantum_chess/quantum_chess_rest_api	open	—	the page cirq/experiments/unitary/quantum_chess/quantum_chess_rest_api
page:cirq/experiments/unitary/unitary/game_design	open	—	the page cirq/experiments/unitary/unitary/game_design
page:cirq/experiments/unitary/unitary/getting_started	open	—	the page cirq/experiments/unitary/unitary/getting_started
page:cirq/experiments/unitary/unitary/overview	open	—	the page cirq/experiments/unitary/unitary/overview
page:cirq/experiments/unitary/unitary/physics_terms	open	—	the page cirq/experiments/unitary/unitary/physics_terms
page:cirq/experiments/unitary/unitary/tic_tac_toe	open	—	the page cirq/experiments/unitary/unitary/tic_tac_toe
page:cirq/experiments/variational_algorithm	open	—	the page cirq/experiments/variational_algorithm
page:cirq/gatezoo	open	—	the page cirq/gatezoo
page:cirq/google/access	open	—	the page cirq/google/access
page:cirq/google/best_practices	open	—	the page cirq/google/best_practices
page:cirq/google/calibration	open	—	the page cirq/google/calibration
page:cirq/google/engine	open	—	the page cirq/google/engine
page:cirq/google/internal_gates	open	—	the page cirq/google/internal_gates
page:cirq/google/qubit-placement	open	—	the page cirq/google/qubit-placement
page:cirq/google/specification	open	—	the page cirq/google/specification
page:cirq/hardware	open	—	the page cirq/hardware
page:cirq/hardware/aqt/access	open	—	the page cirq/hardware/aqt/access
page:cirq/hardware/aqt/getting_started	open	—	the page cirq/hardware/aqt/getting_started
page:cirq/hardware/azure-quantum/access	open	—	the page cirq/hardware/azure-quantum/access
page:cirq/hardware/azure-quantum/getting_started_honeywell	open	—	the page cirq/hardware/azure-quantum/getting_started_honeywell
page:cirq/hardware/azure-quantum/getting_started_ionq	open	—	the page cirq/hardware/azure-quantum/getting_started_ionq
page:cirq/hardware/ionq/access	open	—	the page cirq/hardware/ionq/access
page:cirq/hardware/ionq/calibrations	open	—	the page cirq/hardware/ionq/calibrations
page:cirq/hardware/ionq/circuits	open	—	the page cirq/hardware/ionq/circuits
page:cirq/hardware/ionq/getting_started	open	—	the page cirq/hardware/ionq/getting_started
page:cirq/hardware/ionq/jobs	open	—	the page cirq/hardware/ionq/jobs
page:cirq/hardware/ionq/service	open	—	the page cirq/hardware/ionq/service
page:cirq/hardware/pasqal/access	open	—	the page cirq/hardware/pasqal/access
page:cirq/hardware/pasqal/devices	open	—	the page cirq/hardware/pasqal/devices
page:cirq/hardware/pasqal/getting_started	open	—	the page cirq/hardware/pasqal/getting_started
page:cirq/hardware/pasqal/sampler	open	—	the page cirq/hardware/pasqal/sampler
page:cirq/hardware/qubit_picking	open	—	the page cirq/hardware/qubit_picking
page:cirq/named_topologies	open	—	the page cirq/named_topologies
page:cirq/noise	open	—	the page cirq/noise
page:cirq/noise/heatmaps	open	—	the page cirq/noise/heatmaps
page:cirq/noise/qcvv/coherent_vs_incoherent_xeb	open	—	the page cirq/noise/qcvv/coherent_vs_incoherent_xeb
page:cirq/noise/qcvv/isolated_xeb	open	—	the page cirq/noise/qcvv/isolated_xeb
page:cirq/noise/qcvv/parallel_xeb	open	—	the page cirq/noise/qcvv/parallel_xeb
page:cirq/noise/qcvv/xeb_theory	open	—	the page cirq/noise/qcvv/xeb_theory
page:cirq/simulate	open	—	the page cirq/simulate
page:cirq/simulate/params	open	—	the page cirq/simulate/params
page:cirq/simulate/qvm_basic_example	open	—	the page cirq/simulate/qvm_basic_example
page:cirq/simulate/qvm_builder_code	open	—	the page cirq/simulate/qvm_builder_code
page:cirq/simulate/qvm_stabilizer_example	open	—	the page cirq/simulate/qvm_stabilizer_example
page:cirq/simulate/virtual_engine_interface	open	—	the page cirq/simulate/virtual_engine_interface
page:cirq/start/best_practices	open	—	the page cirq/start/best_practices
page:cirq/start/install	open	—	the page cirq/start/install
page:cirq/start/intro	open	—	the page cirq/start/intro
page:cirq/start/start	open	—	the page cirq/start/start
page:cirq/transform	open	—	the page cirq/transform
page:cirq/transform/routing_transformer	open	—	the page cirq/transform/routing_transformer
page:cirq/tutorials/google/colab	open	—	the page cirq/tutorials/google/colab
page:cirq/tutorials/google/spin_echoes	open	—	the page cirq/tutorials/google/spin_echoes
page:cirq/tutorials/google/start	open	—	the page cirq/tutorials/google/start
page:cirq/tutorials/google/visualizing_calibration_metrics	open	—	the page cirq/tutorials/google/visualizing_calibration_metrics
page:google998ff0ca06ab4390	out_of_scope	—	a site-verification token page
page:openfermion/fqe	open	—	the page openfermion/fqe
page:openfermion/fqe/guide/introduction	open	—	the page openfermion/fqe/guide/introduction
page:openfermion/fqe/tutorials/diagonal_coulomb_evolution	open	—	the page openfermion/fqe/tutorials/diagonal_coulomb_evolution
page:openfermion/fqe/tutorials/fermi_hubbard	open	—	the page openfermion/fqe/tutorials/fermi_hubbard
page:openfermion/fqe/tutorials/fqe_vs_openfermion_quadratic_hamiltonians	open	—	the page openfermion/fqe/tutorials/fqe_vs_openfermion_quadratic_hamiltonians
page:openfermion/fqe/tutorials/hamiltonian_time_evolution_and_expectation_estimation	open	—	the page openfermion/fqe/tutorials/hamiltonian_time_evolution_and_expectation_estimation
page:openfermion/install	open	—	the page openfermion/install
page:openfermion/overview	open	—	the page openfermion/overview
page:openfermion/tutorials/binary_code_transforms	open	—	the page openfermion/tutorials/binary_code_transforms
page:openfermion/tutorials/bosonic_operators	open	—	the page openfermion/tutorials/bosonic_operators
page:openfermion/tutorials/circuits_2_diagonal_coulomb_trotter	open	—	the page openfermion/tutorials/circuits_2_diagonal_coulomb_trotter
page:openfermion/tutorials/circuits_3_arbitrary_basis_trotter	open	—	the page openfermion/tutorials/circuits_3_arbitrary_basis_trotter
page:openfermion/tutorials/intro_workshop_exercises	open	—	the page openfermion/tutorials/intro_workshop_exercises
page:openfermion/tutorials/jordan_wigner_and_bravyi_kitaev_transforms	open	—	the page openfermion/tutorials/jordan_wigner_and_bravyi_kitaev_transforms
page:qsim/bazel	open	—	the page qsim/bazel
page:qsim/cirq_interface	open	—	the page qsim/cirq_interface
page:qsim/docker	open	—	the page qsim/docker
page:qsim/input_format	open	—	the page qsim/input_format
page:qsim/install_qsimcirq	open	—	the page qsim/install_qsimcirq
page:qsim/mps	open	—	the page qsim/mps
page:qsim/overview	open	—	the page qsim/overview
page:qsim/qsimcirq_tutorial	open	—	the page qsim/qsimcirq_tutorial
page:qsim/release	open	—	the page qsim/release
page:qsim/testing	open	—	the page qsim/testing
page:qsim/tutorials/amd_gpu	open	—	the page qsim/tutorials/amd_gpu
page:qsim/tutorials/gcp_before_you_begin	open	—	the page qsim/tutorials/gcp_before_you_begin
page:qsim/tutorials/gcp_cpu	open	—	the page qsim/tutorials/gcp_cpu
page:qsim/tutorials/gcp_gpu	open	—	the page qsim/tutorials/gcp_gpu
page:qsim/tutorials/multinode	open	—	the page qsim/tutorials/multinode
page:qsim/tutorials/noisy_qsimcirq	open	—	the page qsim/tutorials/noisy_qsimcirq
page:qsim/tutorials/q32d14	open	—	the page qsim/tutorials/q32d14
page:qsim/tutorials/qsimcirq_gcp	open	—	the page qsim/tutorials/qsimcirq_gcp
page:qsim/type_reference	open	—	the page qsim/type_reference
page:qsim/usage	open	—	the page qsim/usage
page:reference/cc/qsim	open	—	the page reference/cc/qsim
page:reference/cc/qsim/class/qsim/basic-gate-fuser	open	—	API reference of qsim.class.qsim.basic-gate-fuser, not implemented here
page:reference/cc/qsim/class/qsim/circuit-qsim-parser	open	—	API reference of qsim.class.qsim.circuit-qsim-parser, not implemented here
page:reference/cc/qsim/class/qsim/fuser	open	—	API reference of qsim.class.qsim.fuser, not implemented here
page:reference/cc/qsim/class/qsim/simulator-a-v-x	open	—	API reference of qsim.class.qsim.simulator-a-v-x, not implemented here
page:reference/cc/qsim/class/qsim/simulator-basic	open	—	API reference of qsim.class.qsim.simulator-basic, not implemented here
page:reference/cc/qsim/class/qsim/simulator-s-s-e	open	—	API reference of qsim.class.qsim.simulator-s-s-e, not implemented here
page:reference/cc/qsim/class/qsim/state-space	open	—	API reference of qsim.class.qsim.state-space, not implemented here
page:reference/cc/qsim/class/qsim/state-space-a-v-x	open	—	API reference of qsim.class.qsim.state-space-a-v-x, not implemented here
page:reference/cc/qsim/class/qsim/state-space-basic	open	—	API reference of qsim.class.qsim.state-space-basic, not implemented here
page:reference/cc/qsim/class/qsim/state-space-s-s-e	open	—	API reference of qsim.class.qsim.state-space-s-s-e, not implemented here
page:reference/cc/qsim/class/qsim/unitary/unitary-calculator-basic	open	—	API reference of qsim.class.qsim.unitary.unitary-calculator-basic, not implemented here
page:reference/cc/qsim/class/qsim/unitary/unitary-space	open	—	API reference of qsim.class.qsim.unitary.unitary-space, not implemented here
page:reference/cc/qsim/namespace/qsim	open	—	API reference of qsim.namespace.qsim, not implemented here
page:reference/cc/qsim/namespace/qsim/cirq	open	—	API reference of qsim.namespace.qsim.cirq, not implemented here
page:reference/cc/qsim/namespace/qsim/detail	open	—	API reference of qsim.namespace.qsim.detail, not implemented here
page:reference/cc/qsim/namespace/qsim/gate	open	—	API reference of qsim.namespace.qsim.gate, not implemented here
page:reference/cc/qsim/namespace/qsim/unitary	open	—	API reference of qsim.namespace.qsim.unitary, not implemented here
page:reference/cc/qsim/struct/qsim/basic-gate-fuser/parameter	open	—	API reference of qsim.struct.qsim.basic-gate-fuser.parameter, not implemented here
page:reference/cc/qsim/struct/qsim/circuit	open	—	API reference of qsim.struct.qsim.circuit, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/c-c-x	open	—	API reference of qsim.struct.qsim.cirq.c-c-x, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/c-c-x-pow-gate	open	—	API reference of qsim.struct.qsim.cirq.c-c-x-pow-gate, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/c-c-z	open	—	API reference of qsim.struct.qsim.cirq.c-c-z, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/c-c-z-pow-gate	open	—	API reference of qsim.struct.qsim.cirq.c-c-z-pow-gate, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/c-swap-gate	open	—	API reference of qsim.struct.qsim.cirq.c-swap-gate, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/c-x	open	—	API reference of qsim.struct.qsim.cirq.c-x, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/c-x-pow-gate	open	—	API reference of qsim.struct.qsim.cirq.c-x-pow-gate, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/c-z	open	—	API reference of qsim.struct.qsim.cirq.c-z, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/c-z-pow-gate	open	—	API reference of qsim.struct.qsim.cirq.c-z-pow-gate, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/f-sim-gate	open	—	API reference of qsim.struct.qsim.cirq.f-sim-gate, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/givens	open	—	API reference of qsim.struct.qsim.cirq.givens, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/h	open	—	API reference of qsim.struct.qsim.cirq.h, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/h-pow-gate	open	—	API reference of qsim.struct.qsim.cirq.h-pow-gate, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/i	open	—	API reference of qsim.struct.qsim.cirq.i, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/i-s-w-a-p	open	—	API reference of qsim.struct.qsim.cirq.i-s-w-a-p, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/i-swap-pow-gate	open	—	API reference of qsim.struct.qsim.cirq.i-swap-pow-gate, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/i1	open	—	API reference of qsim.struct.qsim.cirq.i1, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/i2	open	—	API reference of qsim.struct.qsim.cirq.i2, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/matrix-gate	open	—	API reference of qsim.struct.qsim.cirq.matrix-gate, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/matrix-gate1	open	—	API reference of qsim.struct.qsim.cirq.matrix-gate1, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/matrix-gate2	open	—	API reference of qsim.struct.qsim.cirq.matrix-gate2, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/phased-i-swap-pow-gate	open	—	API reference of qsim.struct.qsim.cirq.phased-i-swap-pow-gate, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/phased-x-pow-gate	open	—	API reference of qsim.struct.qsim.cirq.phased-x-pow-gate, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/phased-x-z-gate	open	—	API reference of qsim.struct.qsim.cirq.phased-x-z-gate, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/riswap	open	—	API reference of qsim.struct.qsim.cirq.riswap, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/rx	open	—	API reference of qsim.struct.qsim.cirq.rx, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/ry	open	—	API reference of qsim.struct.qsim.cirq.ry, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/rz	open	—	API reference of qsim.struct.qsim.cirq.rz, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/s	open	—	API reference of qsim.struct.qsim.cirq.s, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/s-w-a-p	open	—	API reference of qsim.struct.qsim.cirq.s-w-a-p, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/swap-pow-gate	open	—	API reference of qsim.struct.qsim.cirq.swap-pow-gate, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/t	open	—	API reference of qsim.struct.qsim.cirq.t, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/three-qubit-diagonal-gate	open	—	API reference of qsim.struct.qsim.cirq.three-qubit-diagonal-gate, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/two-qubit-diagonal-gate	open	—	API reference of qsim.struct.qsim.cirq.two-qubit-diagonal-gate, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/x	open	—	API reference of qsim.struct.qsim.cirq.x, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/x-pow-gate	open	—	API reference of qsim.struct.qsim.cirq.x-pow-gate, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/x-x	open	—	API reference of qsim.struct.qsim.cirq.x-x, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/x-x-pow-gate	open	—	API reference of qsim.struct.qsim.cirq.x-x-pow-gate, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/y	open	—	API reference of qsim.struct.qsim.cirq.y, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/y-pow-gate	open	—	API reference of qsim.struct.qsim.cirq.y-pow-gate, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/y-y	open	—	API reference of qsim.struct.qsim.cirq.y-y, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/y-y-pow-gate	open	—	API reference of qsim.struct.qsim.cirq.y-y-pow-gate, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/z	open	—	API reference of qsim.struct.qsim.cirq.z, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/z-pow-gate	open	—	API reference of qsim.struct.qsim.cirq.z-pow-gate, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/z-z	open	—	API reference of qsim.struct.qsim.cirq.z-z, not implemented here
page:reference/cc/qsim/struct/qsim/cirq/z-z-pow-gate	open	—	API reference of qsim.struct.qsim.cirq.z-z-pow-gate, not implemented here
page:reference/cc/qsim/struct/qsim/gate	open	—	API reference of qsim.struct.qsim.gate, not implemented here
page:reference/cc/qsim/struct/qsim/gate-c-not	open	—	API reference of qsim.struct.qsim.gate-c-not, not implemented here
page:reference/cc/qsim/struct/qsim/gate-c-p	open	—	API reference of qsim.struct.qsim.gate-c-p, not implemented here
page:reference/cc/qsim/struct/qsim/gate-c-z	open	—	API reference of qsim.struct.qsim.gate-c-z, not implemented here
page:reference/cc/qsim/struct/qsim/gate-f-s	open	—	API reference of qsim.struct.qsim.gate-f-s, not implemented here
page:reference/cc/qsim/struct/qsim/gate-fused	open	—	API reference of qsim.struct.qsim.gate-fused, not implemented here
page:reference/cc/qsim/struct/qsim/gate-h-z2	open	—	API reference of qsim.struct.qsim.gate-h-z2, not implemented here
page:reference/cc/qsim/struct/qsim/gate-hd	open	—	API reference of qsim.struct.qsim.gate-hd, not implemented here
page:reference/cc/qsim/struct/qsim/gate-i-s	open	—	API reference of qsim.struct.qsim.gate-i-s, not implemented here
page:reference/cc/qsim/struct/qsim/gate-id1	open	—	API reference of qsim.struct.qsim.gate-id1, not implemented here
page:reference/cc/qsim/struct/qsim/gate-id2	open	—	API reference of qsim.struct.qsim.gate-id2, not implemented here
page:reference/cc/qsim/struct/qsim/gate-r-x	open	—	API reference of qsim.struct.qsim.gate-r-x, not implemented here
page:reference/cc/qsim/struct/qsim/gate-r-x-y	open	—	API reference of qsim.struct.qsim.gate-r-x-y, not implemented here
page:reference/cc/qsim/struct/qsim/gate-r-y	open	—	API reference of qsim.struct.qsim.gate-r-y, not implemented here
page:reference/cc/qsim/struct/qsim/gate-r-z	open	—	API reference of qsim.struct.qsim.gate-r-z, not implemented here
page:reference/cc/qsim/struct/qsim/gate-s	open	—	API reference of qsim.struct.qsim.gate-s, not implemented here
page:reference/cc/qsim/struct/qsim/gate-swap	open	—	API reference of qsim.struct.qsim.gate-swap, not implemented here
page:reference/cc/qsim/struct/qsim/gate-t	open	—	API reference of qsim.struct.qsim.gate-t, not implemented here
page:reference/cc/qsim/struct/qsim/gate-x	open	—	API reference of qsim.struct.qsim.gate-x, not implemented here
page:reference/cc/qsim/struct/qsim/gate-x2	open	—	API reference of qsim.struct.qsim.gate-x2, not implemented here
page:reference/cc/qsim/struct/qsim/gate-y	open	—	API reference of qsim.struct.qsim.gate-y, not implemented here
page:reference/cc/qsim/struct/qsim/gate-y2	open	—	API reference of qsim.struct.qsim.gate-y2, not implemented here
page:reference/cc/qsim/struct/qsim/gate-z	open	—	API reference of qsim.struct.qsim.gate-z, not implemented here
page:reference/cc/qsim/struct/qsim/gate/measurement	open	—	API reference of qsim.struct.qsim.gate.measurement, not implemented here
page:reference/cc/qsim/struct/qsim/hybrid-simulator	open	—	API reference of qsim.struct.qsim.hybrid-simulator, not implemented here
page:reference/cc/qsim/struct/qsim/hybrid-simulator/hybrid-data	open	—	API reference of qsim.struct.qsim.hybrid-simulator.hybrid-data, not implemented here
page:reference/cc/qsim/struct/qsim/hybrid-simulator/parameter	open	—	API reference of qsim.struct.qsim.hybrid-simulator.parameter, not implemented here
page:reference/cc/qsim/struct/qsim/i-o	open	—	API reference of qsim.struct.qsim.i-o, not implemented here
page:reference/cc/qsim/struct/qsim/i-o-file	open	—	API reference of qsim.struct.qsim.i-o-file, not implemented here
page:reference/cc/qsim/struct/qsim/parallel-for-t	open	—	API reference of qsim.struct.qsim.parallel-for-t, not implemented here
page:reference/cc/qsim/struct/qsim/q-sim-h-runner	open	—	API reference of qsim.struct.qsim.q-sim-h-runner, not implemented here
page:reference/cc/qsim/struct/qsim/q-sim-runner	open	—	API reference of qsim.struct.qsim.q-sim-runner, not implemented here
page:reference/cc/qsim/struct/qsim/q-sim-runner/parameter	open	—	API reference of qsim.struct.qsim.q-sim-runner.parameter, not implemented here
page:reference/cc/qsim/struct/qsim/sequential-for	open	—	API reference of qsim.struct.qsim.sequential-for, not implemented here
page:reference/cc/qsim/struct/qsim/state-space/measurement-result	open	—	API reference of qsim.struct.qsim.state-space.measurement-result, not implemented here
page:reference/cc/qsim/struct/qsim/unitary/unitary-space-basic	open	—	API reference of qsim.struct.qsim.unitary.unitary-space-basic, not implemented here
page:reference/python/cirq	open	—	the page reference/python/cirq
page:reference/python/cirq/ABCMetaImplementAnyOneOf	open	—	API reference of cirq.ABCMetaImplementAnyOneOf, not implemented here
page:reference/python/cirq/AbstractCircuit	open	—	API reference of cirq.AbstractCircuit, not implemented here
page:reference/python/cirq/AbstractInitialMapper	open	—	API reference of cirq.AbstractInitialMapper, not implemented here
page:reference/python/cirq/Alignment	open	—	API reference of cirq.Alignment, not implemented here
page:reference/python/cirq/AmplitudeDampingChannel	served	circuit	API reference of cirq.AmplitudeDampingChannel; implemented here as noisy
page:reference/python/cirq/AnyIntegerPowerGateFamily	open	—	API reference of cirq.AnyIntegerPowerGateFamily, not implemented here
page:reference/python/cirq/AnyUnitaryGateFamily	open	—	API reference of cirq.AnyUnitaryGateFamily, not implemented here
page:reference/python/cirq/ApplyChannelArgs	open	—	API reference of cirq.ApplyChannelArgs, not implemented here
page:reference/python/cirq/ApplyMixtureArgs	open	—	API reference of cirq.ApplyMixtureArgs, not implemented here
page:reference/python/cirq/ApplyUnitaryArgs	open	—	API reference of cirq.ApplyUnitaryArgs, not implemented here
page:reference/python/cirq/ArithmeticGate	open	—	API reference of cirq.ArithmeticGate, not implemented here
page:reference/python/cirq/AsymmetricDepolarizingChannel	served	circuit	API reference of cirq.AsymmetricDepolarizingChannel; implemented here as noisy
page:reference/python/cirq/AxisAngleDecomposition	open	—	API reference of cirq.AxisAngleDecomposition, not implemented here
page:reference/python/cirq/BaseDensePauliString	open	—	API reference of cirq.BaseDensePauliString, not implemented here
page:reference/python/cirq/BitFlipChannel	served	circuit	API reference of cirq.BitFlipChannel; implemented here as noisy
page:reference/python/cirq/BitMaskKeyCondition	open	—	API reference of cirq.BitMaskKeyCondition, not implemented here
page:reference/python/cirq/BooleanHamiltonianGate	open	—	API reference of cirq.BooleanHamiltonianGate, not implemented here
page:reference/python/cirq/CCNOT	served	circuit	API reference of cirq.CCNOT; implemented here as TOFFOLI
page:reference/python/cirq/CCNotPowGate	open	—	API reference of cirq.CCNotPowGate, not implemented here
page:reference/python/cirq/CCY	open	—	API reference of cirq.CCY, not implemented here
page:reference/python/cirq/CCYPowGate	open	—	API reference of cirq.CCYPowGate, not implemented here
page:reference/python/cirq/CCZ	open	—	API reference of cirq.CCZ, not implemented here
page:reference/python/cirq/CCZPowGate	served	circuit	API reference of cirq.CCZPowGate; implemented here as powerOf (CCZ**t is not built; TOFFOLI**t is)
page:reference/python/cirq/CNOT	served	circuit	API reference of cirq.CNOT; implemented here as CNOT
page:reference/python/cirq/CNotPowGate	served	circuit	API reference of cirq.CNotPowGate; implemented here as powerOf (CNOT**t)
page:reference/python/cirq/CSWAP	open	—	API reference of cirq.CSWAP, not implemented here
page:reference/python/cirq/CSwapGate	open	—	API reference of cirq.CSwapGate, not implemented here
page:reference/python/cirq/CXSWAP	open	—	API reference of cirq.CXSWAP, not implemented here
page:reference/python/cirq/CY	open	—	API reference of cirq.CY, not implemented here
page:reference/python/cirq/CYPowGate	open	—	API reference of cirq.CYPowGate, not implemented here
page:reference/python/cirq/CZ	served	circuit	API reference of cirq.CZ; implemented here as CZ
page:reference/python/cirq/CZPowGate	served	circuit	API reference of cirq.CZPowGate; implemented here as powerOf (CZ**t)
page:reference/python/cirq/CZSWAP	open	—	API reference of cirq.CZSWAP, not implemented here
page:reference/python/cirq/CZTargetGateset	open	—	API reference of cirq.CZTargetGateset, not implemented here
page:reference/python/cirq/Circuit	served	circuit	API reference of cirq.Circuit; implemented here as Circuit (moments, append with an insert strategy, qubits in key order)
page:reference/python/cirq/CircuitDiagramInfo	open	—	API reference of cirq.CircuitDiagramInfo, not implemented here
page:reference/python/cirq/CircuitDiagramInfoArgs	open	—	API reference of cirq.CircuitDiagramInfoArgs, not implemented here
page:reference/python/cirq/CircuitFunction	open	—	API reference of cirq.CircuitFunction, not implemented here
page:reference/python/cirq/CircuitOperation	open	—	API reference of cirq.CircuitOperation, not implemented here
page:reference/python/cirq/CircuitSampleJob	open	—	API reference of cirq.CircuitSampleJob, not implemented here
page:reference/python/cirq/ClassicalDataDictionaryStore	open	—	API reference of cirq.ClassicalDataDictionaryStore, not implemented here
page:reference/python/cirq/ClassicalDataStore	open	—	API reference of cirq.ClassicalDataStore, not implemented here
page:reference/python/cirq/ClassicalDataStoreReader	open	—	API reference of cirq.ClassicalDataStoreReader, not implemented here
page:reference/python/cirq/ClassicalStateSimulator	open	—	API reference of cirq.ClassicalStateSimulator, not implemented here
page:reference/python/cirq/ClassicallyControlledOperation	open	—	API reference of cirq.ClassicallyControlledOperation, not implemented here
page:reference/python/cirq/CliffordGate	open	—	API reference of cirq.CliffordGate, not implemented here
page:reference/python/cirq/CliffordSimulator	open	—	API reference of cirq.CliffordSimulator, not implemented here
page:reference/python/cirq/CliffordSimulatorStepResult	open	—	API reference of cirq.CliffordSimulatorStepResult, not implemented here
page:reference/python/cirq/CliffordState	open	—	API reference of cirq.CliffordState, not implemented here
page:reference/python/cirq/CliffordTableau	open	—	API reference of cirq.CliffordTableau, not implemented here
page:reference/python/cirq/CliffordTableauSimulationState	open	—	API reference of cirq.CliffordTableauSimulationState, not implemented here
page:reference/python/cirq/CliffordTrialResult	open	—	API reference of cirq.CliffordTrialResult, not implemented here
page:reference/python/cirq/Collector	open	—	API reference of cirq.Collector, not implemented here
page:reference/python/cirq/CompilationTargetGateset	open	—	API reference of cirq.CompilationTargetGateset, not implemented here
page:reference/python/cirq/Concat	open	—	API reference of cirq.Concat, not implemented here
page:reference/python/cirq/Condition	open	—	API reference of cirq.Condition, not implemented here
page:reference/python/cirq/ConstantQubitNoiseModel	open	—	API reference of cirq.ConstantQubitNoiseModel, not implemented here
page:reference/python/cirq/ControlledGate	open	—	API reference of cirq.ControlledGate, not implemented here
page:reference/python/cirq/ControlledOperation	open	—	API reference of cirq.ControlledOperation, not implemented here
page:reference/python/cirq/DURATION_LIKE	open	—	API reference of cirq.DURATION_LIKE, not implemented here
page:reference/python/cirq/DecompositionContext	open	—	API reference of cirq.DecompositionContext, not implemented here
page:reference/python/cirq/DensePauliString	served	circuit	API reference of cirq.DensePauliString; implemented here as pauliProduct (a Pauli string as one gate)
page:reference/python/cirq/DensityMatrixSimulationState	open	—	API reference of cirq.DensityMatrixSimulationState, not implemented here
page:reference/python/cirq/DensityMatrixSimulator	served	circuit	API reference of cirq.DensityMatrixSimulator; implemented here as DensityMatrixSimulator (exact channels, up to 8 qubits)
page:reference/python/cirq/DensityMatrixStepResult	open	—	API reference of cirq.DensityMatrixStepResult, not implemented here
page:reference/python/cirq/DensityMatrixTrialResult	open	—	API reference of cirq.DensityMatrixTrialResult, not implemented here
page:reference/python/cirq/DepolarizingChannel	served	circuit	API reference of cirq.DepolarizingChannel; implemented here as noisy
page:reference/python/cirq/Device	served	circuit	API reference of cirq.Device; implemented here as Device (validate_operation, validate_moment, validate_circuit)
page:reference/python/cirq/DeviceMetadata	open	—	API reference of cirq.DeviceMetadata, not implemented here
page:reference/python/cirq/DiagonalGate	open	—	API reference of cirq.DiagonalGate, not implemented here
page:reference/python/cirq/Duration	open	—	API reference of cirq.Duration, not implemented here
page:reference/python/cirq/EigenGate	open	—	API reference of cirq.EigenGate, not implemented here
page:reference/python/cirq/ExpressionMap	open	—	API reference of cirq.ExpressionMap, not implemented here
page:reference/python/cirq/FSimGate	open	—	API reference of cirq.FSimGate, not implemented here
page:reference/python/cirq/FrozenCircuit	open	—	API reference of cirq.FrozenCircuit, not implemented here
page:reference/python/cirq/Gate	served	circuit	API reference of cirq.Gate; implemented here as applied (a gate is its name, arity and unitary)
page:reference/python/cirq/GateFamily	open	—	API reference of cirq.GateFamily, not implemented here
page:reference/python/cirq/GateOperation	served	circuit	API reference of cirq.GateOperation; implemented here as applied (gate.on(*qubits))
page:reference/python/cirq/Gateset	open	—	API reference of cirq.Gateset, not implemented here
page:reference/python/cirq/GeneralizedAmplitudeDampingChannel	served	circuit	API reference of cirq.GeneralizedAmplitudeDampingChannel; implemented here as noisy
page:reference/python/cirq/GlobalPhaseGate	open	—	API reference of cirq.GlobalPhaseGate, not implemented here
page:reference/python/cirq/GreedyQubitManager	open	—	API reference of cirq.GreedyQubitManager, not implemented here
page:reference/python/cirq/GridDeviceMetadata	open	—	API reference of cirq.GridDeviceMetadata, not implemented here
page:reference/python/cirq/GridQid	open	—	API reference of cirq.GridQid, not implemented here
page:reference/python/cirq/GridQubit	served	circuit	API reference of cirq.GridQubit; implemented here as GridQubit (of and square)
page:reference/python/cirq/H	served	circuit	API reference of cirq.H; implemented here as H
page:reference/python/cirq/HPowGate	served	circuit	API reference of cirq.HPowGate; implemented here as powerOf (H**t)
page:reference/python/cirq/HardCodedInitialMapper	open	—	API reference of cirq.HardCodedInitialMapper, not implemented here
page:reference/python/cirq/HasJSONNamespace	open	—	API reference of cirq.HasJSONNamespace, not implemented here
page:reference/python/cirq/Heatmap	open	—	API reference of cirq.Heatmap, not implemented here
page:reference/python/cirq/I	open	—	API reference of cirq.I, not implemented here
page:reference/python/cirq/ISWAP	open	—	API reference of cirq.ISWAP, not implemented here
page:reference/python/cirq/ISWAP_INV	open	—	API reference of cirq.ISWAP_INV, not implemented here
page:reference/python/cirq/ISwapPowGate	open	—	API reference of cirq.ISwapPowGate, not implemented here
page:reference/python/cirq/IdentityGate	open	—	API reference of cirq.IdentityGate, not implemented here
page:reference/python/cirq/If	open	—	API reference of cirq.If, not implemented here
page:reference/python/cirq/InsertStrategy	served	circuit	API reference of cirq.InsertStrategy; implemented here as Circuit (EARLIEST, NEW, INLINE, NEW_THEN_INLINE)
page:reference/python/cirq/InterchangeableQubitsGate	open	—	API reference of cirq.InterchangeableQubitsGate, not implemented here
page:reference/python/cirq/JsonResolver	open	—	API reference of cirq.JsonResolver, not implemented here
page:reference/python/cirq/KET_IMAG	open	—	API reference of cirq.KET_IMAG, not implemented here
page:reference/python/cirq/KET_MINUS	open	—	API reference of cirq.KET_MINUS, not implemented here
page:reference/python/cirq/KET_MINUS_IMAG	open	—	API reference of cirq.KET_MINUS_IMAG, not implemented here
page:reference/python/cirq/KET_ONE	open	—	API reference of cirq.KET_ONE, not implemented here
page:reference/python/cirq/KET_PLUS	open	—	API reference of cirq.KET_PLUS, not implemented here
page:reference/python/cirq/KET_ZERO	open	—	API reference of cirq.KET_ZERO, not implemented here
page:reference/python/cirq/KakDecomposition	open	—	API reference of cirq.KakDecomposition, not implemented here
page:reference/python/cirq/KeyCondition	open	—	API reference of cirq.KeyCondition, not implemented here
page:reference/python/cirq/KrausChannel	open	—	API reference of cirq.KrausChannel, not implemented here
page:reference/python/cirq/LabelEntity	open	—	API reference of cirq.LabelEntity, not implemented here
page:reference/python/cirq/LineInitialMapper	open	—	API reference of cirq.LineInitialMapper, not implemented here
page:reference/python/cirq/LineQid	open	—	API reference of cirq.LineQid, not implemented here
page:reference/python/cirq/LineQubit	served	circuit	API reference of cirq.LineQubit; implemented here as LineQubit (of and range)
page:reference/python/cirq/LineTopology	open	—	API reference of cirq.LineTopology, not implemented here
page:reference/python/cirq/LinearCombinationOfGates	open	—	API reference of cirq.LinearCombinationOfGates, not implemented here
page:reference/python/cirq/LinearCombinationOfOperations	open	—	API reference of cirq.LinearCombinationOfOperations, not implemented here
page:reference/python/cirq/LinearDict	open	—	API reference of cirq.LinearDict, not implemented here
page:reference/python/cirq/Linspace	open	—	API reference of cirq.Linspace, not implemented here
page:reference/python/cirq/ListSweep	open	—	API reference of cirq.ListSweep, not implemented here
page:reference/python/cirq/M	open	—	API reference of cirq.M, not implemented here
page:reference/python/cirq/MSGate	open	—	API reference of cirq.MSGate, not implemented here
page:reference/python/cirq/MappingManager	open	—	API reference of cirq.MappingManager, not implemented here
page:reference/python/cirq/MatrixGate	open	—	API reference of cirq.MatrixGate, not implemented here
page:reference/python/cirq/MeasurementGate	served	circuit	API reference of cirq.MeasurementGate; implemented here as measure
page:reference/python/cirq/MeasurementKey	open	—	API reference of cirq.MeasurementKey, not implemented here
page:reference/python/cirq/MeasurementType	open	—	API reference of cirq.MeasurementType, not implemented here
page:reference/python/cirq/MixedUnitaryChannel	open	—	API reference of cirq.MixedUnitaryChannel, not implemented here
page:reference/python/cirq/Moment	served	circuit	API reference of cirq.Moment; implemented here as Moment (operations on disjoint qubits)
page:reference/python/cirq/MutableDensePauliString	open	—	API reference of cirq.MutableDensePauliString, not implemented here
page:reference/python/cirq/MutablePauliString	open	—	API reference of cirq.MutablePauliString, not implemented here
page:reference/python/cirq/NOISE_MODEL_LIKE	open	—	API reference of cirq.NOISE_MODEL_LIKE, not implemented here
page:reference/python/cirq/NamedQid	open	—	API reference of cirq.NamedQid, not implemented here
page:reference/python/cirq/NamedQubit	served	circuit	API reference of cirq.NamedQubit; implemented here as NamedQubit (of)
page:reference/python/cirq/NamedTopology	open	—	API reference of cirq.NamedTopology, not implemented here
page:reference/python/cirq/NoiseModel	open	—	API reference of cirq.NoiseModel, not implemented here
page:reference/python/cirq/NoiseModelFromNoiseProperties	open	—	API reference of cirq.NoiseModelFromNoiseProperties, not implemented here
page:reference/python/cirq/NoiseProperties	open	—	API reference of cirq.NoiseProperties, not implemented here
page:reference/python/cirq/OpIdentifier	open	—	API reference of cirq.OpIdentifier, not implemented here
page:reference/python/cirq/Operation	served	circuit	API reference of cirq.Operation; implemented here as applied
page:reference/python/cirq/PAULI_GATE_LIKE	open	—	API reference of cirq.PAULI_GATE_LIKE, not implemented here
page:reference/python/cirq/PAULI_STRING_LIKE	open	—	API reference of cirq.PAULI_STRING_LIKE, not implemented here
page:reference/python/cirq/ParallelGate	open	—	API reference of cirq.ParallelGate, not implemented here
page:reference/python/cirq/ParallelGateFamily	open	—	API reference of cirq.ParallelGateFamily, not implemented here
page:reference/python/cirq/ParamDictType	open	—	API reference of cirq.ParamDictType, not implemented here
page:reference/python/cirq/ParamMappingType	open	—	API reference of cirq.ParamMappingType, not implemented here
page:reference/python/cirq/ParamResolver	open	—	API reference of cirq.ParamResolver, not implemented here
page:reference/python/cirq/ParamResolverOrSimilarType	open	—	API reference of cirq.ParamResolverOrSimilarType, not implemented here
page:reference/python/cirq/Pauli	open	—	API reference of cirq.Pauli, not implemented here
page:reference/python/cirq/PauliInteractionGate	open	—	API reference of cirq.PauliInteractionGate, not implemented here
page:reference/python/cirq/PauliMeasurementGate	open	—	API reference of cirq.PauliMeasurementGate, not implemented here
page:reference/python/cirq/PauliString	served	circuit	API reference of cirq.PauliString; implemented here as expectationOf (a Pauli observable by qubit)
page:reference/python/cirq/PauliStringGateOperation	open	—	API reference of cirq.PauliStringGateOperation, not implemented here
page:reference/python/cirq/PauliStringPhasor	open	—	API reference of cirq.PauliStringPhasor, not implemented here
page:reference/python/cirq/PauliStringPhasorGate	open	—	API reference of cirq.PauliStringPhasorGate, not implemented here
page:reference/python/cirq/PauliSum	open	—	API reference of cirq.PauliSum, not implemented here
page:reference/python/cirq/PauliSumCollector	open	—	API reference of cirq.PauliSumCollector, not implemented here
page:reference/python/cirq/PauliSumExponential	open	—	API reference of cirq.PauliSumExponential, not implemented here
page:reference/python/cirq/PauliSumLike	open	—	API reference of cirq.PauliSumLike, not implemented here
page:reference/python/cirq/PeriodicValue	open	—	API reference of cirq.PeriodicValue, not implemented here
page:reference/python/cirq/PhaseDampingChannel	served	circuit	API reference of cirq.PhaseDampingChannel; implemented here as noisy
page:reference/python/cirq/PhaseFlipChannel	served	circuit	API reference of cirq.PhaseFlipChannel; implemented here as noisy
page:reference/python/cirq/PhaseGradientGate	open	—	API reference of cirq.PhaseGradientGate, not implemented here
page:reference/python/cirq/PhasedFSimGate	open	—	API reference of cirq.PhasedFSimGate, not implemented here
page:reference/python/cirq/PhasedISwapPowGate	open	—	API reference of cirq.PhasedISwapPowGate, not implemented here
page:reference/python/cirq/PhasedXPowGate	open	—	API reference of cirq.PhasedXPowGate, not implemented here
page:reference/python/cirq/PhasedXZGate	open	—	API reference of cirq.PhasedXZGate, not implemented here
page:reference/python/cirq/PointOptimizationSummary	open	—	API reference of cirq.PointOptimizationSummary, not implemented here
page:reference/python/cirq/PointOptimizer	open	—	API reference of cirq.PointOptimizer, not implemented here
page:reference/python/cirq/Points	open	—	API reference of cirq.Points, not implemented here
page:reference/python/cirq/Product	open	—	API reference of cirq.Product, not implemented here
page:reference/python/cirq/ProductOfSums	open	—	API reference of cirq.ProductOfSums, not implemented here
page:reference/python/cirq/ProductState	open	—	API reference of cirq.ProductState, not implemented here
page:reference/python/cirq/ProjectorString	open	—	API reference of cirq.ProjectorString, not implemented here
page:reference/python/cirq/ProjectorSum	open	—	API reference of cirq.ProjectorSum, not implemented here
page:reference/python/cirq/QUANTUM_STATE_LIKE	open	—	API reference of cirq.QUANTUM_STATE_LIKE, not implemented here
page:reference/python/cirq/QasmArgs	open	—	API reference of cirq.QasmArgs, not implemented here
page:reference/python/cirq/QasmOutput	open	—	API reference of cirq.QasmOutput, not implemented here
page:reference/python/cirq/Qid	served	circuit	API reference of cirq.Qid; implemented here as keyOf (the qubit key that orders and compares qubits)
page:reference/python/cirq/QuantumFourierTransformGate	served	circuit	API reference of cirq.QuantumFourierTransformGate; implemented here as Circuit (qftOperations in algorithms.ts)
page:reference/python/cirq/QuantumState	open	—	API reference of cirq.QuantumState, not implemented here
page:reference/python/cirq/QuantumStateRepresentation	open	—	API reference of cirq.QuantumStateRepresentation, not implemented here
page:reference/python/cirq/QubitManager	open	—	API reference of cirq.QubitManager, not implemented here
page:reference/python/cirq/QubitOrder	open	—	API reference of cirq.QubitOrder, not implemented here
page:reference/python/cirq/QubitPermutationGate	open	—	API reference of cirq.QubitPermutationGate, not implemented here
page:reference/python/cirq/R	open	—	API reference of cirq.R, not implemented here
page:reference/python/cirq/RandomGateChannel	open	—	API reference of cirq.RandomGateChannel, not implemented here
page:reference/python/cirq/ResetChannel	served	circuit	API reference of cirq.ResetChannel; implemented here as noisy
page:reference/python/cirq/Result	served	circuit	API reference of cirq.Result; implemented here as Result (measurements and histogram)
page:reference/python/cirq/ResultDict	open	—	API reference of cirq.ResultDict, not implemented here
page:reference/python/cirq/RouteCQC	open	—	API reference of cirq.RouteCQC, not implemented here
page:reference/python/cirq/RoutingSwapTag	open	—	API reference of cirq.RoutingSwapTag, not implemented here
page:reference/python/cirq/Rx	open	—	API reference of cirq.Rx, not implemented here
page:reference/python/cirq/Ry	open	—	API reference of cirq.Ry, not implemented here
page:reference/python/cirq/Rz	open	—	API reference of cirq.Rz, not implemented here
page:reference/python/cirq/S	served	circuit	API reference of cirq.S; implemented here as powerOf (Z**0.5)
page:reference/python/cirq/SQRT_ISWAP	open	—	API reference of cirq.SQRT_ISWAP, not implemented here
page:reference/python/cirq/SQRT_ISWAP_INV	open	—	API reference of cirq.SQRT_ISWAP_INV, not implemented here
page:reference/python/cirq/STATE_VECTOR_LIKE	open	—	API reference of cirq.STATE_VECTOR_LIKE, not implemented here
page:reference/python/cirq/SWAP	served	circuit	API reference of cirq.SWAP; implemented here as SWAP
page:reference/python/cirq/Sampler	open	—	API reference of cirq.Sampler, not implemented here
page:reference/python/cirq/SerializableByKey	open	—	API reference of cirq.SerializableByKey, not implemented here
page:reference/python/cirq/SetVariable	open	—	API reference of cirq.SetVariable, not implemented here
page:reference/python/cirq/SimpleQubitManager	open	—	API reference of cirq.SimpleQubitManager, not implemented here
page:reference/python/cirq/SimulatesAmplitudes	open	—	API reference of cirq.SimulatesAmplitudes, not implemented here
page:reference/python/cirq/SimulatesExpectationValues	open	—	API reference of cirq.SimulatesExpectationValues, not implemented here
page:reference/python/cirq/SimulatesFinalState	open	—	API reference of cirq.SimulatesFinalState, not implemented here
page:reference/python/cirq/SimulatesIntermediateState	open	—	API reference of cirq.SimulatesIntermediateState, not implemented here
page:reference/python/cirq/SimulatesIntermediateStateVector	open	—	API reference of cirq.SimulatesIntermediateStateVector, not implemented here
page:reference/python/cirq/SimulatesSamples	open	—	API reference of cirq.SimulatesSamples, not implemented here
page:reference/python/cirq/SimulationProductState	open	—	API reference of cirq.SimulationProductState, not implemented here
page:reference/python/cirq/SimulationState	open	—	API reference of cirq.SimulationState, not implemented here
page:reference/python/cirq/SimulationStateBase	open	—	API reference of cirq.SimulationStateBase, not implemented here
page:reference/python/cirq/SimulationTrialResult	open	—	API reference of cirq.SimulationTrialResult, not implemented here
page:reference/python/cirq/SimulationTrialResultBase	open	—	API reference of cirq.SimulationTrialResultBase, not implemented here
page:reference/python/cirq/Simulator	served	circuit	API reference of cirq.Simulator; implemented here as Simulator (simulate (the state vector) and run (sampled bitstrings), up to 20 qubits)
page:reference/python/cirq/SimulatorBase	open	—	API reference of cirq.SimulatorBase, not implemented here
page:reference/python/cirq/SingleQubitCliffordGate	open	—	API reference of cirq.SingleQubitCliffordGate, not implemented here
page:reference/python/cirq/SingleQubitPauliStringGateOperation	open	—	API reference of cirq.SingleQubitPauliStringGateOperation, not implemented here
page:reference/python/cirq/SparseSimulatorStep	open	—	API reference of cirq.SparseSimulatorStep, not implemented here
page:reference/python/cirq/SqrtIswapTargetGateset	open	—	API reference of cirq.SqrtIswapTargetGateset, not implemented here
page:reference/python/cirq/StabilizerChFormSimulationState	open	—	API reference of cirq.StabilizerChFormSimulationState, not implemented here
page:reference/python/cirq/StabilizerSampler	open	—	API reference of cirq.StabilizerSampler, not implemented here
page:reference/python/cirq/StabilizerSimulationState	open	—	API reference of cirq.StabilizerSimulationState, not implemented here
page:reference/python/cirq/StabilizerState	open	—	API reference of cirq.StabilizerState, not implemented here
page:reference/python/cirq/StabilizerStateChForm	open	—	API reference of cirq.StabilizerStateChForm, not implemented here
page:reference/python/cirq/StatePreparationChannel	open	—	API reference of cirq.StatePreparationChannel, not implemented here
page:reference/python/cirq/StateVectorMixin	open	—	API reference of cirq.StateVectorMixin, not implemented here
page:reference/python/cirq/StateVectorSimulationState	open	—	API reference of cirq.StateVectorSimulationState, not implemented here
page:reference/python/cirq/StateVectorStepResult	open	—	API reference of cirq.StateVectorStepResult, not implemented here
page:reference/python/cirq/StateVectorTrialResult	open	—	API reference of cirq.StateVectorTrialResult, not implemented here
page:reference/python/cirq/StepResult	open	—	API reference of cirq.StepResult, not implemented here
page:reference/python/cirq/StepResultBase	open	—	API reference of cirq.StepResultBase, not implemented here
page:reference/python/cirq/SumOfProducts	open	—	API reference of cirq.SumOfProducts, not implemented here
page:reference/python/cirq/SuperconductingQubitsNoiseProperties	open	—	API reference of cirq.SuperconductingQubitsNoiseProperties, not implemented here
page:reference/python/cirq/SupportsActOn	open	—	API reference of cirq.SupportsActOn, not implemented here
page:reference/python/cirq/SupportsActOnQubits	open	—	API reference of cirq.SupportsActOnQubits, not implemented here
page:reference/python/cirq/SupportsApplyChannel	open	—	API reference of cirq.SupportsApplyChannel, not implemented here
page:reference/python/cirq/SupportsApplyMixture	open	—	API reference of cirq.SupportsApplyMixture, not implemented here
page:reference/python/cirq/SupportsApproximateEquality	open	—	API reference of cirq.SupportsApproximateEquality, not implemented here
page:reference/python/cirq/SupportsCircuitDiagramInfo	open	—	API reference of cirq.SupportsCircuitDiagramInfo, not implemented here
page:reference/python/cirq/SupportsCommutes	open	—	API reference of cirq.SupportsCommutes, not implemented here
page:reference/python/cirq/SupportsConsistentApplyUnitary	open	—	API reference of cirq.SupportsConsistentApplyUnitary, not implemented here
page:reference/python/cirq/SupportsControlKey	open	—	API reference of cirq.SupportsControlKey, not implemented here
page:reference/python/cirq/SupportsDecompose	open	—	API reference of cirq.SupportsDecompose, not implemented here
page:reference/python/cirq/SupportsDecomposeWithQubits	open	—	API reference of cirq.SupportsDecomposeWithQubits, not implemented here
page:reference/python/cirq/SupportsEqualUpToGlobalPhase	open	—	API reference of cirq.SupportsEqualUpToGlobalPhase, not implemented here
page:reference/python/cirq/SupportsExplicitHasUnitary	open	—	API reference of cirq.SupportsExplicitHasUnitary, not implemented here
page:reference/python/cirq/SupportsExplicitNumQubits	open	—	API reference of cirq.SupportsExplicitNumQubits, not implemented here
page:reference/python/cirq/SupportsExplicitQidShape	open	—	API reference of cirq.SupportsExplicitQidShape, not implemented here
page:reference/python/cirq/SupportsJSON	open	—	API reference of cirq.SupportsJSON, not implemented here
page:reference/python/cirq/SupportsKraus	open	—	API reference of cirq.SupportsKraus, not implemented here
page:reference/python/cirq/SupportsMeasurementKey	open	—	API reference of cirq.SupportsMeasurementKey, not implemented here
page:reference/python/cirq/SupportsMixture	open	—	API reference of cirq.SupportsMixture, not implemented here
page:reference/python/cirq/SupportsParameterization	open	—	API reference of cirq.SupportsParameterization, not implemented here
page:reference/python/cirq/SupportsPauliExpansion	open	—	API reference of cirq.SupportsPauliExpansion, not implemented here
page:reference/python/cirq/SupportsPhase	open	—	API reference of cirq.SupportsPhase, not implemented here
page:reference/python/cirq/SupportsQasm	open	—	API reference of cirq.SupportsQasm, not implemented here
page:reference/python/cirq/SupportsQasmWithArgs	open	—	API reference of cirq.SupportsQasmWithArgs, not implemented here
page:reference/python/cirq/SupportsQasmWithArgsAndQubits	open	—	API reference of cirq.SupportsQasmWithArgsAndQubits, not implemented here
page:reference/python/cirq/SupportsTraceDistanceBound	open	—	API reference of cirq.SupportsTraceDistanceBound, not implemented here
page:reference/python/cirq/SupportsUnitary	open	—	API reference of cirq.SupportsUnitary, not implemented here
page:reference/python/cirq/SwapPowGate	served	circuit	API reference of cirq.SwapPowGate; implemented here as powerOf (SWAP**t)
page:reference/python/cirq/Sweep	open	—	API reference of cirq.Sweep, not implemented here
page:reference/python/cirq/Sweepable	open	—	API reference of cirq.Sweepable, not implemented here
page:reference/python/cirq/SympyCondition	open	—	API reference of cirq.SympyCondition, not implemented here
page:reference/python/cirq/T	served	circuit	API reference of cirq.T; implemented here as powerOf (Z**0.25)
page:reference/python/cirq/TRANSFORMER	open	—	API reference of cirq.TRANSFORMER, not implemented here
page:reference/python/cirq/TaggedOperation	open	—	API reference of cirq.TaggedOperation, not implemented here
page:reference/python/cirq/TensoredConfusionMatrices	open	—	API reference of cirq.TensoredConfusionMatrices, not implemented here
page:reference/python/cirq/TextDiagramDrawer	open	—	API reference of cirq.TextDiagramDrawer, not implemented here
page:reference/python/cirq/ThreeQubitDiagonalGate	open	—	API reference of cirq.ThreeQubitDiagonalGate, not implemented here
page:reference/python/cirq/TiltedSquareLattice	open	—	API reference of cirq.TiltedSquareLattice, not implemented here
page:reference/python/cirq/Timestamp	open	—	API reference of cirq.Timestamp, not implemented here
page:reference/python/cirq/TransformerContext	open	—	API reference of cirq.TransformerContext, not implemented here
page:reference/python/cirq/TransformerLogger	open	—	API reference of cirq.TransformerLogger, not implemented here
page:reference/python/cirq/TwoQubitCompilationTargetGateset	open	—	API reference of cirq.TwoQubitCompilationTargetGateset, not implemented here
page:reference/python/cirq/TwoQubitDiagonalGate	open	—	API reference of cirq.TwoQubitDiagonalGate, not implemented here
page:reference/python/cirq/TwoQubitGateTabulation	open	—	API reference of cirq.TwoQubitGateTabulation, not implemented here
page:reference/python/cirq/TwoQubitGateTabulationResult	open	—	API reference of cirq.TwoQubitGateTabulationResult, not implemented here
page:reference/python/cirq/TwoQubitInteractionHeatmap	open	—	API reference of cirq.TwoQubitInteractionHeatmap, not implemented here
page:reference/python/cirq/TwoQubitNumericalCompilationResult	open	—	API reference of cirq.TwoQubitNumericalCompilationResult, not implemented here
page:reference/python/cirq/TwoQubitNumericalCompiler	open	—	API reference of cirq.TwoQubitNumericalCompiler, not implemented here
page:reference/python/cirq/UniformSuperpositionGate	open	—	API reference of cirq.UniformSuperpositionGate, not implemented here
page:reference/python/cirq/VariableGridQid	open	—	API reference of cirq.VariableGridQid, not implemented here
page:reference/python/cirq/VariableLineQid	open	—	API reference of cirq.VariableLineQid, not implemented here
page:reference/python/cirq/VariableQid	open	—	API reference of cirq.VariableQid, not implemented here
page:reference/python/cirq/VirtualTag	open	—	API reference of cirq.VirtualTag, not implemented here
page:reference/python/cirq/WaitGate	open	—	API reference of cirq.WaitGate, not implemented here
page:reference/python/cirq/While	open	—	API reference of cirq.While, not implemented here
page:reference/python/cirq/X	served	circuit	API reference of cirq.X; implemented here as X
page:reference/python/cirq/XPowGate	served	circuit	API reference of cirq.XPowGate; implemented here as powerOf (X**t)
page:reference/python/cirq/XX	open	—	API reference of cirq.XX, not implemented here
page:reference/python/cirq/XXPowGate	open	—	API reference of cirq.XXPowGate, not implemented here
page:reference/python/cirq/Y	served	circuit	API reference of cirq.Y; implemented here as Y
page:reference/python/cirq/YPowGate	served	circuit	API reference of cirq.YPowGate; implemented here as powerOf (Y**t)
page:reference/python/cirq/YY	open	—	API reference of cirq.YY, not implemented here
page:reference/python/cirq/YYPowGate	open	—	API reference of cirq.YYPowGate, not implemented here
page:reference/python/cirq/Z	served	circuit	API reference of cirq.Z; implemented here as Z
page:reference/python/cirq/ZPowGate	served	circuit	API reference of cirq.ZPowGate; implemented here as powerOf (Z**t)
page:reference/python/cirq/ZZ	served	circuit	API reference of cirq.ZZ; implemented here as ZZ
page:reference/python/cirq/ZZPowGate	served	circuit	API reference of cirq.ZZPowGate; implemented here as powerOf (ZZ**t)
page:reference/python/cirq/ZerosSampler	open	—	API reference of cirq.ZerosSampler, not implemented here
page:reference/python/cirq/Zip	open	—	API reference of cirq.Zip, not implemented here
page:reference/python/cirq/ZipLongest	open	—	API reference of cirq.ZipLongest, not implemented here
page:reference/python/cirq/act_on	open	—	API reference of cirq.act_on, not implemented here
page:reference/python/cirq/add_dynamical_decoupling	open	—	API reference of cirq.add_dynamical_decoupling, not implemented here
page:reference/python/cirq/align_left	open	—	API reference of cirq.align_left, not implemented here
page:reference/python/cirq/align_right	open	—	API reference of cirq.align_right, not implemented here
page:reference/python/cirq/all_near_zero	open	—	API reference of cirq.all_near_zero, not implemented here
page:reference/python/cirq/all_near_zero_mod	open	—	API reference of cirq.all_near_zero_mod, not implemented here
page:reference/python/cirq/all_symbols	open	—	API reference of cirq.all_symbols, not implemented here
page:reference/python/cirq/allclose_up_to_global_phase	open	—	API reference of cirq.allclose_up_to_global_phase, not implemented here
page:reference/python/cirq/alternative	open	—	API reference of cirq.alternative, not implemented here
page:reference/python/cirq/amplitude_damp	served	circuit	API reference of cirq.amplitude_damp; implemented here as noisy
page:reference/python/cirq/apply_channel	open	—	API reference of cirq.apply_channel, not implemented here
page:reference/python/cirq/apply_matrix_to_slices	open	—	API reference of cirq.apply_matrix_to_slices, not implemented here
page:reference/python/cirq/apply_mixture	open	—	API reference of cirq.apply_mixture, not implemented here
page:reference/python/cirq/apply_unitaries	open	—	API reference of cirq.apply_unitaries, not implemented here
page:reference/python/cirq/apply_unitary	open	—	API reference of cirq.apply_unitary, not implemented here
page:reference/python/cirq/approx_eq	open	—	API reference of cirq.approx_eq, not implemented here
page:reference/python/cirq/asymmetric_depolarize	served	circuit	API reference of cirq.asymmetric_depolarize; implemented here as noisy
page:reference/python/cirq/axis_angle	open	—	API reference of cirq.axis_angle, not implemented here
page:reference/python/cirq/bidiagonalize_real_matrix_pair_with_symmetric_products	open	—	API reference of cirq.bidiagonalize_real_matrix_pair_with_symmetric_products, not implemented here
page:reference/python/cirq/bidiagonalize_unitary_with_special_orthogonals	open	—	API reference of cirq.bidiagonalize_unitary_with_special_orthogonals, not implemented here
page:reference/python/cirq/big_endian_bits_to_int	open	—	API reference of cirq.big_endian_bits_to_int, not implemented here
page:reference/python/cirq/big_endian_digits_to_int	open	—	API reference of cirq.big_endian_digits_to_int, not implemented here
page:reference/python/cirq/big_endian_int_to_bits	open	—	API reference of cirq.big_endian_int_to_bits, not implemented here
page:reference/python/cirq/big_endian_int_to_digits	open	—	API reference of cirq.big_endian_int_to_digits, not implemented here
page:reference/python/cirq/bit_flip	served	circuit	API reference of cirq.bit_flip; implemented here as noisy
page:reference/python/cirq/bloch_vector_from_state_vector	open	—	API reference of cirq.bloch_vector_from_state_vector, not implemented here
page:reference/python/cirq/block_diag	open	—	API reference of cirq.block_diag, not implemented here
page:reference/python/cirq/canonicalize_half_turns	open	—	API reference of cirq.canonicalize_half_turns, not implemented here
page:reference/python/cirq/choi_to_kraus	open	—	API reference of cirq.choi_to_kraus, not implemented here
page:reference/python/cirq/choi_to_superoperator	open	—	API reference of cirq.choi_to_superoperator, not implemented here
page:reference/python/cirq/chosen_angle_to_canonical_half_turns	open	—	API reference of cirq.chosen_angle_to_canonical_half_turns, not implemented here
page:reference/python/cirq/chosen_angle_to_half_turns	open	—	API reference of cirq.chosen_angle_to_half_turns, not implemented here
page:reference/python/cirq/circuit_diagram_info	open	—	API reference of cirq.circuit_diagram_info, not implemented here
page:reference/python/cirq/cirq_type_from_json	open	—	API reference of cirq.cirq_type_from_json, not implemented here
page:reference/python/cirq/commutes	open	—	API reference of cirq.commutes, not implemented here
page:reference/python/cirq/compute_cphase_exponents_for_fsim_decomposition	open	—	API reference of cirq.compute_cphase_exponents_for_fsim_decomposition, not implemented here
page:reference/python/cirq/contrib	open	—	API reference of cirq.contrib, not implemented here
page:reference/python/cirq/contrib/CircuitDag	open	—	API reference of cirq.contrib.CircuitDag, not implemented here
page:reference/python/cirq/contrib/Unique	open	—	API reference of cirq.contrib.Unique, not implemented here
page:reference/python/cirq/contrib/acquaintance	open	—	API reference of cirq.contrib.acquaintance, not implemented here
page:reference/python/cirq/contrib/acquaintance/AcquaintanceOperation	open	—	API reference of cirq.contrib.acquaintance.AcquaintanceOperation, not implemented here
page:reference/python/cirq/contrib/acquaintance/AcquaintanceOpportunityGate	open	—	API reference of cirq.contrib.acquaintance.AcquaintanceOpportunityGate, not implemented here
page:reference/python/cirq/contrib/acquaintance/BipartiteGraphType	open	—	API reference of cirq.contrib.acquaintance.BipartiteGraphType, not implemented here
page:reference/python/cirq/contrib/acquaintance/BipartiteSwapNetworkGate	open	—	API reference of cirq.contrib.acquaintance.BipartiteSwapNetworkGate, not implemented here
page:reference/python/cirq/contrib/acquaintance/CircularShiftGate	open	—	API reference of cirq.contrib.acquaintance.CircularShiftGate, not implemented here
page:reference/python/cirq/contrib/acquaintance/DECOMPOSE_PERMUTATION_GATES	open	—	API reference of cirq.contrib.acquaintance.DECOMPOSE_PERMUTATION_GATES, not implemented here
page:reference/python/cirq/contrib/acquaintance/EXPAND_PERMUTATION_GATES	open	—	API reference of cirq.contrib.acquaintance.EXPAND_PERMUTATION_GATES, not implemented here
page:reference/python/cirq/contrib/acquaintance/GreedyExecutionStrategy	open	—	API reference of cirq.contrib.acquaintance.GreedyExecutionStrategy, not implemented here
page:reference/python/cirq/contrib/acquaintance/LinearPermutationGate	open	—	API reference of cirq.contrib.acquaintance.LinearPermutationGate, not implemented here
page:reference/python/cirq/contrib/acquaintance/PermutationGate	open	—	API reference of cirq.contrib.acquaintance.PermutationGate, not implemented here
page:reference/python/cirq/contrib/acquaintance/ShiftSwapNetworkGate	open	—	API reference of cirq.contrib.acquaintance.ShiftSwapNetworkGate, not implemented here
page:reference/python/cirq/contrib/acquaintance/StrategyExecutorTransformer	open	—	API reference of cirq.contrib.acquaintance.StrategyExecutorTransformer, not implemented here
page:reference/python/cirq/contrib/acquaintance/SwapNetworkGate	open	—	API reference of cirq.contrib.acquaintance.SwapNetworkGate, not implemented here
page:reference/python/cirq/contrib/acquaintance/SwapPermutationGate	open	—	API reference of cirq.contrib.acquaintance.SwapPermutationGate, not implemented here
page:reference/python/cirq/contrib/acquaintance/acquaint	open	—	API reference of cirq.contrib.acquaintance.acquaint, not implemented here
page:reference/python/cirq/contrib/acquaintance/bipartite	open	—	API reference of cirq.contrib.acquaintance.bipartite, not implemented here
page:reference/python/cirq/contrib/acquaintance/complete_acquaintance_strategy	open	—	API reference of cirq.contrib.acquaintance.complete_acquaintance_strategy, not implemented here
page:reference/python/cirq/contrib/acquaintance/cubic_acquaintance_strategy	open	—	API reference of cirq.contrib.acquaintance.cubic_acquaintance_strategy, not implemented here
page:reference/python/cirq/contrib/acquaintance/devices	open	—	API reference of cirq.contrib.acquaintance.devices, not implemented here
page:reference/python/cirq/contrib/acquaintance/devices/AcquaintanceDevice	open	—	API reference of cirq.contrib.acquaintance.devices.AcquaintanceDevice, not implemented here
page:reference/python/cirq/contrib/acquaintance/display_mapping	open	—	API reference of cirq.contrib.acquaintance.display_mapping, not implemented here
page:reference/python/cirq/contrib/acquaintance/executor	open	—	API reference of cirq.contrib.acquaintance.executor, not implemented here
page:reference/python/cirq/contrib/acquaintance/executor/ExecutionStrategy	open	—	API reference of cirq.contrib.acquaintance.executor.ExecutionStrategy, not implemented here
page:reference/python/cirq/contrib/acquaintance/executor/LogicalGates	open	—	API reference of cirq.contrib.acquaintance.executor.LogicalGates, not implemented here
page:reference/python/cirq/contrib/acquaintance/executor/LogicalMapping	open	—	API reference of cirq.contrib.acquaintance.executor.LogicalMapping, not implemented here
page:reference/python/cirq/contrib/acquaintance/expose_acquaintance_gates	open	—	API reference of cirq.contrib.acquaintance.expose_acquaintance_gates, not implemented here
page:reference/python/cirq/contrib/acquaintance/gates	open	—	API reference of cirq.contrib.acquaintance.gates, not implemented here
page:reference/python/cirq/contrib/acquaintance/gates/Layers	open	—	API reference of cirq.contrib.acquaintance.gates.Layers, not implemented here
page:reference/python/cirq/contrib/acquaintance/gates/acquaint_and_shift	open	—	API reference of cirq.contrib.acquaintance.gates.acquaint_and_shift, not implemented here
page:reference/python/cirq/contrib/acquaintance/gates/acquaint_insides	open	—	API reference of cirq.contrib.acquaintance.gates.acquaint_insides, not implemented here
page:reference/python/cirq/contrib/acquaintance/gates/new_layers	open	—	API reference of cirq.contrib.acquaintance.gates.new_layers, not implemented here
page:reference/python/cirq/contrib/acquaintance/gates/operations_to_part_lens	open	—	API reference of cirq.contrib.acquaintance.gates.operations_to_part_lens, not implemented here
page:reference/python/cirq/contrib/acquaintance/get_acquaintance_size	open	—	API reference of cirq.contrib.acquaintance.get_acquaintance_size, not implemented here
page:reference/python/cirq/contrib/acquaintance/get_logical_acquaintance_opportunities	open	—	API reference of cirq.contrib.acquaintance.get_logical_acquaintance_opportunities, not implemented here
page:reference/python/cirq/contrib/acquaintance/get_logical_operations	open	—	API reference of cirq.contrib.acquaintance.get_logical_operations, not implemented here
page:reference/python/cirq/contrib/acquaintance/inspection_utils	open	—	API reference of cirq.contrib.acquaintance.inspection_utils, not implemented here
page:reference/python/cirq/contrib/acquaintance/inspection_utils/LogicalAnnotator	open	—	API reference of cirq.contrib.acquaintance.inspection_utils.LogicalAnnotator, not implemented here
page:reference/python/cirq/contrib/acquaintance/inspection_utils/get_acquaintance_dag	open	—	API reference of cirq.contrib.acquaintance.inspection_utils.get_acquaintance_dag, not implemented here
page:reference/python/cirq/contrib/acquaintance/is_topologically_sorted	open	—	API reference of cirq.contrib.acquaintance.is_topologically_sorted, not implemented here
page:reference/python/cirq/contrib/acquaintance/mutation_utils	open	—	API reference of cirq.contrib.acquaintance.mutation_utils, not implemented here
page:reference/python/cirq/contrib/acquaintance/mutation_utils/ExposeAcquaintanceGates	open	—	API reference of cirq.contrib.acquaintance.mutation_utils.ExposeAcquaintanceGates, not implemented here
page:reference/python/cirq/contrib/acquaintance/optimizers	open	—	API reference of cirq.contrib.acquaintance.optimizers, not implemented here
page:reference/python/cirq/contrib/acquaintance/permutation	open	—	API reference of cirq.contrib.acquaintance.permutation, not implemented here
page:reference/python/cirq/contrib/acquaintance/permutation/DecomposePermutationGates	open	—	API reference of cirq.contrib.acquaintance.permutation.DecomposePermutationGates, not implemented here
page:reference/python/cirq/contrib/acquaintance/permutation/MappingDisplayGate	open	—	API reference of cirq.contrib.acquaintance.permutation.MappingDisplayGate, not implemented here
page:reference/python/cirq/contrib/acquaintance/quartic_paired_acquaintance_strategy	open	—	API reference of cirq.contrib.acquaintance.quartic_paired_acquaintance_strategy, not implemented here
page:reference/python/cirq/contrib/acquaintance/random_topological_sort	open	—	API reference of cirq.contrib.acquaintance.random_topological_sort, not implemented here
page:reference/python/cirq/contrib/acquaintance/rectify_acquaintance_strategy	open	—	API reference of cirq.contrib.acquaintance.rectify_acquaintance_strategy, not implemented here
page:reference/python/cirq/contrib/acquaintance/remove_redundant_acquaintance_opportunities	open	—	API reference of cirq.contrib.acquaintance.remove_redundant_acquaintance_opportunities, not implemented here
page:reference/python/cirq/contrib/acquaintance/replace_acquaintance_with_swap_network	open	—	API reference of cirq.contrib.acquaintance.replace_acquaintance_with_swap_network, not implemented here
page:reference/python/cirq/contrib/acquaintance/return_to_initial_mapping	open	—	API reference of cirq.contrib.acquaintance.return_to_initial_mapping, not implemented here
page:reference/python/cirq/contrib/acquaintance/shift	open	—	API reference of cirq.contrib.acquaintance.shift, not implemented here
page:reference/python/cirq/contrib/acquaintance/shift_swap_network	open	—	API reference of cirq.contrib.acquaintance.shift_swap_network, not implemented here
page:reference/python/cirq/contrib/acquaintance/strategies	open	—	API reference of cirq.contrib.acquaintance.strategies, not implemented here
page:reference/python/cirq/contrib/acquaintance/strategies/complete	open	—	API reference of cirq.contrib.acquaintance.strategies.complete, not implemented here
page:reference/python/cirq/contrib/acquaintance/strategies/cubic	open	—	API reference of cirq.contrib.acquaintance.strategies.cubic, not implemented here
page:reference/python/cirq/contrib/acquaintance/strategies/cubic/skip_and_wrap_around	open	—	API reference of cirq.contrib.acquaintance.strategies.cubic.skip_and_wrap_around, not implemented here
page:reference/python/cirq/contrib/acquaintance/strategies/quartic_paired	open	—	API reference of cirq.contrib.acquaintance.strategies.quartic_paired, not implemented here
page:reference/python/cirq/contrib/acquaintance/strategies/quartic_paired/qubit_pairs_to_qubit_order	open	—	API reference of cirq.contrib.acquaintance.strategies.quartic_paired.qubit_pairs_to_qubit_order, not implemented here
page:reference/python/cirq/contrib/acquaintance/testing	open	—	API reference of cirq.contrib.acquaintance.testing, not implemented here
page:reference/python/cirq/contrib/acquaintance/testing/assert_permutation_decomposition_equivalence	open	—	API reference of cirq.contrib.acquaintance.testing.assert_permutation_decomposition_equivalence, not implemented here
page:reference/python/cirq/contrib/acquaintance/topological_sort	open	—	API reference of cirq.contrib.acquaintance.topological_sort, not implemented here
page:reference/python/cirq/contrib/acquaintance/update_mapping	open	—	API reference of cirq.contrib.acquaintance.update_mapping, not implemented here
page:reference/python/cirq/contrib/acquaintance/uses_consistent_swap_gate	open	—	API reference of cirq.contrib.acquaintance.uses_consistent_swap_gate, not implemented here
page:reference/python/cirq/contrib/circuit_to_latex_using_qcircuit	open	—	API reference of cirq.contrib.circuit_to_latex_using_qcircuit, not implemented here
page:reference/python/cirq/contrib/circuitdag	open	—	API reference of cirq.contrib.circuitdag, not implemented here
page:reference/python/cirq/contrib/circuitdag/circuit_dag	open	—	API reference of cirq.contrib.circuitdag.circuit_dag, not implemented here
page:reference/python/cirq/contrib/graph_device	open	—	API reference of cirq.contrib.graph_device, not implemented here
page:reference/python/cirq/contrib/graph_device/FixedDurationUndirectedGraphDeviceEdge	open	—	API reference of cirq.contrib.graph_device.FixedDurationUndirectedGraphDeviceEdge, not implemented here
page:reference/python/cirq/contrib/graph_device/UndirectedGraphDevice	open	—	API reference of cirq.contrib.graph_device.UndirectedGraphDevice, not implemented here
page:reference/python/cirq/contrib/graph_device/UndirectedHypergraph	open	—	API reference of cirq.contrib.graph_device.UndirectedHypergraph, not implemented here
page:reference/python/cirq/contrib/graph_device/graph_device	open	—	API reference of cirq.contrib.graph_device.graph_device, not implemented here
page:reference/python/cirq/contrib/graph_device/graph_device/UndirectedGraphDeviceEdge	open	—	API reference of cirq.contrib.graph_device.graph_device.UndirectedGraphDeviceEdge, not implemented here
page:reference/python/cirq/contrib/graph_device/graph_device/raise_crosstalk_error	open	—	API reference of cirq.contrib.graph_device.graph_device.raise_crosstalk_error, not implemented here
page:reference/python/cirq/contrib/graph_device/hypergraph	open	—	API reference of cirq.contrib.graph_device.hypergraph, not implemented here
page:reference/python/cirq/contrib/graph_device/hypergraph/AdjacencyList	open	—	API reference of cirq.contrib.graph_device.hypergraph.AdjacencyList, not implemented here
page:reference/python/cirq/contrib/graph_device/is_crosstalk_graph	open	—	API reference of cirq.contrib.graph_device.is_crosstalk_graph, not implemented here
page:reference/python/cirq/contrib/graph_device/is_undirected_device_graph	open	—	API reference of cirq.contrib.graph_device.is_undirected_device_graph, not implemented here
page:reference/python/cirq/contrib/graph_device/uniform_graph_device	open	—	API reference of cirq.contrib.graph_device.uniform_graph_device, not implemented here
page:reference/python/cirq/contrib/graph_device/uniform_undirected_graph_device	open	—	API reference of cirq.contrib.graph_device.uniform_undirected_graph_device, not implemented here
page:reference/python/cirq/contrib/graph_device/uniform_undirected_linear_device	open	—	API reference of cirq.contrib.graph_device.uniform_undirected_linear_device, not implemented here
page:reference/python/cirq/contrib/json	open	—	API reference of cirq.contrib.json, not implemented here
page:reference/python/cirq/contrib/json/contrib_class_resolver	open	—	API reference of cirq.contrib.json.contrib_class_resolver, not implemented here
page:reference/python/cirq/contrib/qcircuit	open	—	API reference of cirq.contrib.qcircuit, not implemented here
page:reference/python/cirq/contrib/qcircuit/escape_text_for_latex	open	—	API reference of cirq.contrib.qcircuit.escape_text_for_latex, not implemented here
page:reference/python/cirq/contrib/qcircuit/get_multigate_parameters	open	—	API reference of cirq.contrib.qcircuit.get_multigate_parameters, not implemented here
page:reference/python/cirq/contrib/qcircuit/get_qcircuit_diagram_info	open	—	API reference of cirq.contrib.qcircuit.get_qcircuit_diagram_info, not implemented here
page:reference/python/cirq/contrib/qcircuit/qcircuit_diagram	open	—	API reference of cirq.contrib.qcircuit.qcircuit_diagram, not implemented here
page:reference/python/cirq/contrib/qcircuit/qcircuit_diagram/qcircuit_qubit_namer	open	—	API reference of cirq.contrib.qcircuit.qcircuit_diagram.qcircuit_qubit_namer, not implemented here
page:reference/python/cirq/contrib/qcircuit/qcircuit_diagram_info	open	—	API reference of cirq.contrib.qcircuit.qcircuit_diagram_info, not implemented here
page:reference/python/cirq/contrib/qcircuit/qcircuit_diagram_info/convert_text_diagram_info_to_qcircuit_diagram_info	open	—	API reference of cirq.contrib.qcircuit.qcircuit_diagram_info.convert_text_diagram_info_to_qcircuit_diagram_info, not implemented here
page:reference/python/cirq/contrib/qcircuit/qcircuit_diagram_info/fallback_qcircuit_diagram_info	open	—	API reference of cirq.contrib.qcircuit.qcircuit_diagram_info.fallback_qcircuit_diagram_info, not implemented here
page:reference/python/cirq/contrib/qcircuit/qcircuit_diagram_info/hardcoded_qcircuit_diagram_info	open	—	API reference of cirq.contrib.qcircuit.qcircuit_diagram_info.hardcoded_qcircuit_diagram_info, not implemented here
page:reference/python/cirq/contrib/qcircuit/qcircuit_diagram_info/multigate_qcircuit_diagram_info	open	—	API reference of cirq.contrib.qcircuit.qcircuit_diagram_info.multigate_qcircuit_diagram_info, not implemented here
page:reference/python/cirq/contrib/quirk	open	—	API reference of cirq.contrib.quirk, not implemented here
page:reference/python/cirq/contrib/quirk/circuit_to_quirk_url	open	—	API reference of cirq.contrib.quirk.circuit_to_quirk_url, not implemented here
page:reference/python/cirq/contrib/quirk/export_to_quirk	open	—	API reference of cirq.contrib.quirk.export_to_quirk, not implemented here
page:reference/python/cirq/contrib/quirk/linearize_circuit	open	—	API reference of cirq.contrib.quirk.linearize_circuit, not implemented here
page:reference/python/cirq/contrib/quirk/linearize_circuit/QubitMapper	open	—	API reference of cirq.contrib.quirk.linearize_circuit.QubitMapper, not implemented here
page:reference/python/cirq/contrib/quirk/linearize_circuit/linearize_circuit_qubits	open	—	API reference of cirq.contrib.quirk.linearize_circuit.linearize_circuit_qubits, not implemented here
page:reference/python/cirq/contrib/quirk/quirk_gate	open	—	API reference of cirq.contrib.quirk.quirk_gate, not implemented here
page:reference/python/cirq/contrib/quirk/quirk_gate/QuirkOp	open	—	API reference of cirq.contrib.quirk.quirk_gate.QuirkOp, not implemented here
page:reference/python/cirq/contrib/quirk/quirk_gate/angle_to_exponent_key	open	—	API reference of cirq.contrib.quirk.quirk_gate.angle_to_exponent_key, not implemented here
page:reference/python/cirq/contrib/quirk/quirk_gate/ccx_to_quirk_op	open	—	API reference of cirq.contrib.quirk.quirk_gate.ccx_to_quirk_op, not implemented here
page:reference/python/cirq/contrib/quirk/quirk_gate/ccz_to_quirk_op	open	—	API reference of cirq.contrib.quirk.quirk_gate.ccz_to_quirk_op, not implemented here
page:reference/python/cirq/contrib/quirk/quirk_gate/cnot_to_quirk_op	open	—	API reference of cirq.contrib.quirk.quirk_gate.cnot_to_quirk_op, not implemented here
page:reference/python/cirq/contrib/quirk/quirk_gate/controlled_unwrap	open	—	API reference of cirq.contrib.quirk.quirk_gate.controlled_unwrap, not implemented here
page:reference/python/cirq/contrib/quirk/quirk_gate/cswap_to_quirk_op	open	—	API reference of cirq.contrib.quirk.quirk_gate.cswap_to_quirk_op, not implemented here
page:reference/python/cirq/contrib/quirk/quirk_gate/cz_to_quirk_op	open	—	API reference of cirq.contrib.quirk.quirk_gate.cz_to_quirk_op, not implemented here
page:reference/python/cirq/contrib/quirk/quirk_gate/h_to_quirk_op	open	—	API reference of cirq.contrib.quirk.quirk_gate.h_to_quirk_op, not implemented here
page:reference/python/cirq/contrib/quirk/quirk_gate/known_quirk_op_for_operation	open	—	API reference of cirq.contrib.quirk.quirk_gate.known_quirk_op_for_operation, not implemented here
page:reference/python/cirq/contrib/quirk/quirk_gate/same_half_turns	open	—	API reference of cirq.contrib.quirk.quirk_gate.same_half_turns, not implemented here
page:reference/python/cirq/contrib/quirk/quirk_gate/single_qubit_matrix_gate	open	—	API reference of cirq.contrib.quirk.quirk_gate.single_qubit_matrix_gate, not implemented here
page:reference/python/cirq/contrib/quirk/quirk_gate/swap_to_quirk_op	open	—	API reference of cirq.contrib.quirk.quirk_gate.swap_to_quirk_op, not implemented here
page:reference/python/cirq/contrib/quirk/quirk_gate/x_to_quirk_op	open	—	API reference of cirq.contrib.quirk.quirk_gate.x_to_quirk_op, not implemented here
page:reference/python/cirq/contrib/quirk/quirk_gate/xyz_to_quirk_op	open	—	API reference of cirq.contrib.quirk.quirk_gate.xyz_to_quirk_op, not implemented here
page:reference/python/cirq/contrib/quirk/quirk_gate/y_to_quirk_op	open	—	API reference of cirq.contrib.quirk.quirk_gate.y_to_quirk_op, not implemented here
page:reference/python/cirq/contrib/quirk/quirk_gate/z_to_quirk_op	open	—	API reference of cirq.contrib.quirk.quirk_gate.z_to_quirk_op, not implemented here
page:reference/python/cirq/control_keys	open	—	API reference of cirq.control_keys, not implemented here
page:reference/python/cirq/cphase	open	—	API reference of cirq.cphase, not implemented here
page:reference/python/cirq/create_transformer_with_kwargs	open	—	API reference of cirq.create_transformer_with_kwargs, not implemented here
page:reference/python/cirq/dataclass_json_dict	open	—	API reference of cirq.dataclass_json_dict, not implemented here
page:reference/python/cirq/decompose	open	—	API reference of cirq.decompose, not implemented here
page:reference/python/cirq/decompose_clifford_tableau_to_operations	open	—	API reference of cirq.decompose_clifford_tableau_to_operations, not implemented here
page:reference/python/cirq/decompose_cphase_into_two_fsim	open	—	API reference of cirq.decompose_cphase_into_two_fsim, not implemented here
page:reference/python/cirq/decompose_multi_controlled_rotation	open	—	API reference of cirq.decompose_multi_controlled_rotation, not implemented here
page:reference/python/cirq/decompose_multi_controlled_x	open	—	API reference of cirq.decompose_multi_controlled_x, not implemented here
page:reference/python/cirq/decompose_once	open	—	API reference of cirq.decompose_once, not implemented here
page:reference/python/cirq/decompose_once_with_qubits	open	—	API reference of cirq.decompose_once_with_qubits, not implemented here
page:reference/python/cirq/decompose_two_qubit_interaction_into_four_fsim_gates	open	—	API reference of cirq.decompose_two_qubit_interaction_into_four_fsim_gates, not implemented here
page:reference/python/cirq/deconstruct_single_qubit_matrix_into_angles	open	—	API reference of cirq.deconstruct_single_qubit_matrix_into_angles, not implemented here
page:reference/python/cirq/defer_measurements	open	—	API reference of cirq.defer_measurements, not implemented here
page:reference/python/cirq/definitely_commutes	open	—	API reference of cirq.definitely_commutes, not implemented here
page:reference/python/cirq/density_matrix	open	—	API reference of cirq.density_matrix, not implemented here
page:reference/python/cirq/density_matrix_from_state_vector	open	—	API reference of cirq.density_matrix_from_state_vector, not implemented here
page:reference/python/cirq/density_matrix_kronecker_product	open	—	API reference of cirq.density_matrix_kronecker_product, not implemented here
page:reference/python/cirq/dephase_measurements	open	—	API reference of cirq.dephase_measurements, not implemented here
page:reference/python/cirq/depolarize	served	circuit	API reference of cirq.depolarize; implemented here as noisy
page:reference/python/cirq/diagonalize_real_symmetric_and_sorted_diagonal_matrices	open	—	API reference of cirq.diagonalize_real_symmetric_and_sorted_diagonal_matrices, not implemented here
page:reference/python/cirq/diagonalize_real_symmetric_matrix	open	—	API reference of cirq.diagonalize_real_symmetric_matrix, not implemented here
page:reference/python/cirq/dict_to_product_sweep	open	—	API reference of cirq.dict_to_product_sweep, not implemented here
page:reference/python/cirq/dict_to_zip_sweep	open	—	API reference of cirq.dict_to_zip_sweep, not implemented here
page:reference/python/cirq/dirac_notation	open	—	API reference of cirq.dirac_notation, not implemented here
page:reference/python/cirq/dot	open	—	API reference of cirq.dot, not implemented here
page:reference/python/cirq/draw_gridlike	open	—	API reference of cirq.draw_gridlike, not implemented here
page:reference/python/cirq/draw_placements	open	—	API reference of cirq.draw_placements, not implemented here
page:reference/python/cirq/drop_diagonal_before_measurement	open	—	API reference of cirq.drop_diagonal_before_measurement, not implemented here
page:reference/python/cirq/drop_empty_moments	open	—	API reference of cirq.drop_empty_moments, not implemented here
page:reference/python/cirq/drop_negligible_operations	open	—	API reference of cirq.drop_negligible_operations, not implemented here
page:reference/python/cirq/drop_terminal_measurements	open	—	API reference of cirq.drop_terminal_measurements, not implemented here
page:reference/python/cirq/eject_phased_paulis	open	—	API reference of cirq.eject_phased_paulis, not implemented here
page:reference/python/cirq/eject_z	open	—	API reference of cirq.eject_z, not implemented here
page:reference/python/cirq/entanglement_fidelity	open	—	API reference of cirq.entanglement_fidelity, not implemented here
page:reference/python/cirq/equal_up_to_global_phase	open	—	API reference of cirq.equal_up_to_global_phase, not implemented here
page:reference/python/cirq/estimate_parallel_single_qubit_readout_errors	open	—	API reference of cirq.estimate_parallel_single_qubit_readout_errors, not implemented here
page:reference/python/cirq/estimate_single_qubit_readout_errors	open	—	API reference of cirq.estimate_single_qubit_readout_errors, not implemented here
page:reference/python/cirq/expand_composite	open	—	API reference of cirq.expand_composite, not implemented here
page:reference/python/cirq/expand_matrix_in_orthogonal_basis	open	—	API reference of cirq.expand_matrix_in_orthogonal_basis, not implemented here
page:reference/python/cirq/eye_tensor	open	—	API reference of cirq.eye_tensor, not implemented here
page:reference/python/cirq/fidelity	open	—	API reference of cirq.fidelity, not implemented here
page:reference/python/cirq/final_density_matrix	open	—	API reference of cirq.final_density_matrix, not implemented here
page:reference/python/cirq/final_state_vector	open	—	API reference of cirq.final_state_vector, not implemented here
page:reference/python/cirq/flatten	open	—	API reference of cirq.flatten, not implemented here
page:reference/python/cirq/flatten_op_tree	open	—	API reference of cirq.flatten_op_tree, not implemented here
page:reference/python/cirq/flatten_to_ops	open	—	API reference of cirq.flatten_to_ops, not implemented here
page:reference/python/cirq/flatten_to_ops_or_moments	open	—	API reference of cirq.flatten_to_ops_or_moments, not implemented here
page:reference/python/cirq/flatten_with_params	open	—	API reference of cirq.flatten_with_params, not implemented here
page:reference/python/cirq/flatten_with_sweep	open	—	API reference of cirq.flatten_with_sweep, not implemented here
page:reference/python/cirq/freeze_op_tree	open	—	API reference of cirq.freeze_op_tree, not implemented here
page:reference/python/cirq/generalized_amplitude_damp	served	circuit	API reference of cirq.generalized_amplitude_damp; implemented here as noisy
page:reference/python/cirq/get_placements	open	—	API reference of cirq.get_placements, not implemented here
page:reference/python/cirq/get_state_histogram	open	—	API reference of cirq.get_state_histogram, not implemented here
page:reference/python/cirq/givens	open	—	API reference of cirq.givens, not implemented here
page:reference/python/cirq/global_phase_operation	open	—	API reference of cirq.global_phase_operation, not implemented here
page:reference/python/cirq/has_kraus	open	—	API reference of cirq.has_kraus, not implemented here
page:reference/python/cirq/has_mixture	open	—	API reference of cirq.has_mixture, not implemented here
page:reference/python/cirq/has_stabilizer_effect	open	—	API reference of cirq.has_stabilizer_effect, not implemented here
page:reference/python/cirq/has_unitary	open	—	API reference of cirq.has_unitary, not implemented here
page:reference/python/cirq/hilbert_schmidt_inner_product	open	—	API reference of cirq.hilbert_schmidt_inner_product, not implemented here
page:reference/python/cirq/hog_score_xeb_fidelity_from_probabilities	open	—	API reference of cirq.hog_score_xeb_fidelity_from_probabilities, not implemented here
page:reference/python/cirq/identity_each	open	—	API reference of cirq.identity_each, not implemented here
page:reference/python/cirq/index_tags	open	—	API reference of cirq.index_tags, not implemented here
page:reference/python/cirq/integrated_histogram	open	—	API reference of cirq.integrated_histogram, not implemented here
page:reference/python/cirq/inverse	served	circuit	API reference of cirq.inverse; implemented here as adjointOf (the adjoint of a gate)
page:reference/python/cirq/is_cptp	open	—	API reference of cirq.is_cptp, not implemented here
page:reference/python/cirq/is_diagonal	open	—	API reference of cirq.is_diagonal, not implemented here
page:reference/python/cirq/is_hermitian	open	—	API reference of cirq.is_hermitian, not implemented here
page:reference/python/cirq/is_measurement	open	—	API reference of cirq.is_measurement, not implemented here
page:reference/python/cirq/is_native_neutral_atom_gate	open	—	API reference of cirq.is_native_neutral_atom_gate, not implemented here
page:reference/python/cirq/is_native_neutral_atom_op	open	—	API reference of cirq.is_native_neutral_atom_op, not implemented here
page:reference/python/cirq/is_negligible_turn	open	—	API reference of cirq.is_negligible_turn, not implemented here
page:reference/python/cirq/is_normal	open	—	API reference of cirq.is_normal, not implemented here
page:reference/python/cirq/is_orthogonal	open	—	API reference of cirq.is_orthogonal, not implemented here
page:reference/python/cirq/is_parameterized	open	—	API reference of cirq.is_parameterized, not implemented here
page:reference/python/cirq/is_special_orthogonal	open	—	API reference of cirq.is_special_orthogonal, not implemented here
page:reference/python/cirq/is_special_unitary	open	—	API reference of cirq.is_special_unitary, not implemented here
page:reference/python/cirq/is_unitary	open	—	API reference of cirq.is_unitary, not implemented here
page:reference/python/cirq/is_valid_placement	open	—	API reference of cirq.is_valid_placement, not implemented here
page:reference/python/cirq/json_cirq_type	open	—	API reference of cirq.json_cirq_type, not implemented here
page:reference/python/cirq/json_namespace	open	—	API reference of cirq.json_namespace, not implemented here
page:reference/python/cirq/kak_canonicalize_vector	open	—	API reference of cirq.kak_canonicalize_vector, not implemented here
page:reference/python/cirq/kak_decomposition	open	—	API reference of cirq.kak_decomposition, not implemented here
page:reference/python/cirq/kak_vector	open	—	API reference of cirq.kak_vector, not implemented here
page:reference/python/cirq/kraus	served	circuit	API reference of cirq.kraus; implemented here as noisy (each channel is its Kraus operators)
page:reference/python/cirq/kraus_to_choi	open	—	API reference of cirq.kraus_to_choi, not implemented here
page:reference/python/cirq/kraus_to_superoperator	open	—	API reference of cirq.kraus_to_superoperator, not implemented here
page:reference/python/cirq/kron	open	—	API reference of cirq.kron, not implemented here
page:reference/python/cirq/kron_bases	open	—	API reference of cirq.kron_bases, not implemented here
page:reference/python/cirq/kron_factor_4x4_to_2x2s	open	—	API reference of cirq.kron_factor_4x4_to_2x2s, not implemented here
page:reference/python/cirq/kron_with_controls	open	—	API reference of cirq.kron_with_controls, not implemented here
page:reference/python/cirq/linear_xeb_fidelity	open	—	API reference of cirq.linear_xeb_fidelity, not implemented here
page:reference/python/cirq/linear_xeb_fidelity_from_probabilities	open	—	API reference of cirq.linear_xeb_fidelity_from_probabilities, not implemented here
page:reference/python/cirq/list_of_dicts_to_zip	open	—	API reference of cirq.list_of_dicts_to_zip, not implemented here
page:reference/python/cirq/log_xeb_fidelity	open	—	API reference of cirq.log_xeb_fidelity, not implemented here
page:reference/python/cirq/log_xeb_fidelity_from_probabilities	open	—	API reference of cirq.log_xeb_fidelity_from_probabilities, not implemented here
page:reference/python/cirq/map_clean_and_borrowable_qubits	open	—	API reference of cirq.map_clean_and_borrowable_qubits, not implemented here
page:reference/python/cirq/map_eigenvalues	open	—	API reference of cirq.map_eigenvalues, not implemented here
page:reference/python/cirq/map_moments	open	—	API reference of cirq.map_moments, not implemented here
page:reference/python/cirq/map_operations	open	—	API reference of cirq.map_operations, not implemented here
page:reference/python/cirq/map_operations_and_unroll	open	—	API reference of cirq.map_operations_and_unroll, not implemented here
page:reference/python/cirq/match_global_phase	open	—	API reference of cirq.match_global_phase, not implemented here
page:reference/python/cirq/matrix_commutes	open	—	API reference of cirq.matrix_commutes, not implemented here
page:reference/python/cirq/matrix_from_basis_coefficients	open	—	API reference of cirq.matrix_from_basis_coefficients, not implemented here
page:reference/python/cirq/measure_confusion_matrix	open	—	API reference of cirq.measure_confusion_matrix, not implemented here
page:reference/python/cirq/measure_density_matrix	open	—	API reference of cirq.measure_density_matrix, not implemented here
page:reference/python/cirq/measure_each	open	—	API reference of cirq.measure_each, not implemented here
page:reference/python/cirq/measure_paulistring_terms	open	—	API reference of cirq.measure_paulistring_terms, not implemented here
page:reference/python/cirq/measure_single_paulistring	open	—	API reference of cirq.measure_single_paulistring, not implemented here
page:reference/python/cirq/measure_state_vector	open	—	API reference of cirq.measure_state_vector, not implemented here
page:reference/python/cirq/measurement_key_name	open	—	API reference of cirq.measurement_key_name, not implemented here
page:reference/python/cirq/measurement_key_names	open	—	API reference of cirq.measurement_key_names, not implemented here
page:reference/python/cirq/measurement_key_obj	open	—	API reference of cirq.measurement_key_obj, not implemented here
page:reference/python/cirq/measurement_key_objs	open	—	API reference of cirq.measurement_key_objs, not implemented here
page:reference/python/cirq/measurement_keys_touched	open	—	API reference of cirq.measurement_keys_touched, not implemented here
page:reference/python/cirq/merge_k_qubit_unitaries	open	—	API reference of cirq.merge_k_qubit_unitaries, not implemented here
page:reference/python/cirq/merge_k_qubit_unitaries_to_circuit_op	open	—	API reference of cirq.merge_k_qubit_unitaries_to_circuit_op, not implemented here
page:reference/python/cirq/merge_moments	open	—	API reference of cirq.merge_moments, not implemented here
page:reference/python/cirq/merge_moments_batch	open	—	API reference of cirq.merge_moments_batch, not implemented here
page:reference/python/cirq/merge_operations	open	—	API reference of cirq.merge_operations, not implemented here
page:reference/python/cirq/merge_operations_to_circuit_op	open	—	API reference of cirq.merge_operations_to_circuit_op, not implemented here
page:reference/python/cirq/merge_single_qubit_gates_to_phased_x_and_z	open	—	API reference of cirq.merge_single_qubit_gates_to_phased_x_and_z, not implemented here
page:reference/python/cirq/merge_single_qubit_gates_to_phxz	open	—	API reference of cirq.merge_single_qubit_gates_to_phxz, not implemented here
page:reference/python/cirq/merge_single_qubit_gates_to_phxz_symbolized	open	—	API reference of cirq.merge_single_qubit_gates_to_phxz_symbolized, not implemented here
page:reference/python/cirq/merge_single_qubit_moments_to_phxz	open	—	API reference of cirq.merge_single_qubit_moments_to_phxz, not implemented here
page:reference/python/cirq/mixture	open	—	API reference of cirq.mixture, not implemented here
page:reference/python/cirq/ms	open	—	API reference of cirq.ms, not implemented here
page:reference/python/cirq/mul	open	—	API reference of cirq.mul, not implemented here
page:reference/python/cirq/num_cnots_required	open	—	API reference of cirq.num_cnots_required, not implemented here
page:reference/python/cirq/num_qubits	open	—	API reference of cirq.num_qubits, not implemented here
page:reference/python/cirq/obj_to_dict_helper	open	—	API reference of cirq.obj_to_dict_helper, not implemented here
page:reference/python/cirq/one_hot	open	—	API reference of cirq.one_hot, not implemented here
page:reference/python/cirq/operation_to_choi	open	—	API reference of cirq.operation_to_choi, not implemented here
page:reference/python/cirq/operation_to_superoperator	open	—	API reference of cirq.operation_to_superoperator, not implemented here
page:reference/python/cirq/optimize_for_target_gateset	open	—	API reference of cirq.optimize_for_target_gateset, not implemented here
page:reference/python/cirq/parallel_gate_op	open	—	API reference of cirq.parallel_gate_op, not implemented here
page:reference/python/cirq/parameter_names	open	—	API reference of cirq.parameter_names, not implemented here
page:reference/python/cirq/parameter_symbols	open	—	API reference of cirq.parameter_symbols, not implemented here
page:reference/python/cirq/parameterized_2q_op_to_sqrt_iswap_operations	open	—	API reference of cirq.parameterized_2q_op_to_sqrt_iswap_operations, not implemented here
page:reference/python/cirq/partial_trace	open	—	API reference of cirq.partial_trace, not implemented here
page:reference/python/cirq/partial_trace_of_state_vector_as_mixture	open	—	API reference of cirq.partial_trace_of_state_vector_as_mixture, not implemented here
page:reference/python/cirq/pauli_expansion	open	—	API reference of cirq.pauli_expansion, not implemented here
page:reference/python/cirq/phase_by	open	—	API reference of cirq.phase_by, not implemented here
page:reference/python/cirq/phase_damp	served	circuit	API reference of cirq.phase_damp; implemented here as noisy
page:reference/python/cirq/phase_flip	served	circuit	API reference of cirq.phase_flip; implemented here as noisy
page:reference/python/cirq/plot_density_matrix	open	—	API reference of cirq.plot_density_matrix, not implemented here
page:reference/python/cirq/plot_state_histogram	open	—	API reference of cirq.plot_state_histogram, not implemented here
page:reference/python/cirq/pow	open	—	API reference of cirq.pow, not implemented here
page:reference/python/cirq/pow_pauli_combination	open	—	API reference of cirq.pow_pauli_combination, not implemented here
page:reference/python/cirq/prepare_two_qubit_state_using_cz	open	—	API reference of cirq.prepare_two_qubit_state_using_cz, not implemented here
page:reference/python/cirq/prepare_two_qubit_state_using_iswap	open	—	API reference of cirq.prepare_two_qubit_state_using_iswap, not implemented here
page:reference/python/cirq/prepare_two_qubit_state_using_sqrt_iswap	open	—	API reference of cirq.prepare_two_qubit_state_using_sqrt_iswap, not implemented here
page:reference/python/cirq/q	open	—	API reference of cirq.q, not implemented here
page:reference/python/cirq/qasm	open	—	API reference of cirq.qasm, not implemented here
page:reference/python/cirq/qft	served	circuit	API reference of cirq.qft; implemented here as Circuit (qftOperations in algorithms.ts)
page:reference/python/cirq/qid_shape	open	—	API reference of cirq.qid_shape, not implemented here
page:reference/python/cirq/quantum_shannon_decomposition	open	—	API reference of cirq.quantum_shannon_decomposition, not implemented here
page:reference/python/cirq/quantum_state	open	—	API reference of cirq.quantum_state, not implemented here
page:reference/python/cirq/quirk_json_to_circuit	open	—	API reference of cirq.quirk_json_to_circuit, not implemented here
page:reference/python/cirq/quirk_url_to_circuit	open	—	API reference of cirq.quirk_url_to_circuit, not implemented here
page:reference/python/cirq/read_json	open	—	API reference of cirq.read_json, not implemented here
page:reference/python/cirq/read_json_gzip	open	—	API reference of cirq.read_json_gzip, not implemented here
page:reference/python/cirq/reflection_matrix_pow	open	—	API reference of cirq.reflection_matrix_pow, not implemented here
page:reference/python/cirq/remove_tags	open	—	API reference of cirq.remove_tags, not implemented here
page:reference/python/cirq/reset_each	open	—	API reference of cirq.reset_each, not implemented here
page:reference/python/cirq/resolve_parameters	open	—	API reference of cirq.resolve_parameters, not implemented here
page:reference/python/cirq/resolve_parameters_once	open	—	API reference of cirq.resolve_parameters_once, not implemented here
page:reference/python/cirq/riswap	open	—	API reference of cirq.riswap, not implemented here
page:reference/python/cirq/routed_circuit_with_mapping	open	—	API reference of cirq.routed_circuit_with_mapping, not implemented here
page:reference/python/cirq/rx	open	—	API reference of cirq.rx, not implemented here
page:reference/python/cirq/ry	open	—	API reference of cirq.ry, not implemented here
page:reference/python/cirq/rz	open	—	API reference of cirq.rz, not implemented here
page:reference/python/cirq/sample	open	—	API reference of cirq.sample, not implemented here
page:reference/python/cirq/sample_density_matrix	open	—	API reference of cirq.sample_density_matrix, not implemented here
page:reference/python/cirq/sample_state_vector	open	—	API reference of cirq.sample_state_vector, not implemented here
page:reference/python/cirq/sample_sweep	open	—	API reference of cirq.sample_sweep, not implemented here
page:reference/python/cirq/scatter_plot_normalized_kak_interaction_coefficients	open	—	API reference of cirq.scatter_plot_normalized_kak_interaction_coefficients, not implemented here
page:reference/python/cirq/single_qubit_matrix_to_gates	open	—	API reference of cirq.single_qubit_matrix_to_gates, not implemented here
page:reference/python/cirq/single_qubit_matrix_to_pauli_rotations	open	—	API reference of cirq.single_qubit_matrix_to_pauli_rotations, not implemented here
page:reference/python/cirq/single_qubit_matrix_to_phased_x_z	open	—	API reference of cirq.single_qubit_matrix_to_phased_x_z, not implemented here
page:reference/python/cirq/single_qubit_matrix_to_phxz	open	—	API reference of cirq.single_qubit_matrix_to_phxz, not implemented here
page:reference/python/cirq/single_qubit_op_to_framed_phase_form	open	—	API reference of cirq.single_qubit_op_to_framed_phase_form, not implemented here
page:reference/python/cirq/slice_for_qubits_equal_to	open	—	API reference of cirq.slice_for_qubits_equal_to, not implemented here
page:reference/python/cirq/so4_to_magic_su2s	open	—	API reference of cirq.so4_to_magic_su2s, not implemented here
page:reference/python/cirq/state_vector_kronecker_product	open	—	API reference of cirq.state_vector_kronecker_product, not implemented here
page:reference/python/cirq/state_vector_to_probabilities	open	—	API reference of cirq.state_vector_to_probabilities, not implemented here
page:reference/python/cirq/stratified_circuit	open	—	API reference of cirq.stratified_circuit, not implemented here
page:reference/python/cirq/sub_state_vector	open	—	API reference of cirq.sub_state_vector, not implemented here
page:reference/python/cirq/superoperator_to_choi	open	—	API reference of cirq.superoperator_to_choi, not implemented here
page:reference/python/cirq/superoperator_to_kraus	open	—	API reference of cirq.superoperator_to_kraus, not implemented here
page:reference/python/cirq/symbol	open	—	API reference of cirq.symbol, not implemented here
page:reference/python/cirq/symbolize_single_qubit_gates_by_indexed_tags	open	—	API reference of cirq.symbolize_single_qubit_gates_by_indexed_tags, not implemented here
page:reference/python/cirq/synchronize_terminal_measurements	open	—	API reference of cirq.synchronize_terminal_measurements, not implemented here
page:reference/python/cirq/targeted_conjugate_about	open	—	API reference of cirq.targeted_conjugate_about, not implemented here
page:reference/python/cirq/targeted_left_multiply	open	—	API reference of cirq.targeted_left_multiply, not implemented here
page:reference/python/cirq/testing	open	—	API reference of cirq.testing, not implemented here
page:reference/python/cirq/testing/DoesNotSupportSerializationGate	open	—	API reference of cirq.testing.DoesNotSupportSerializationGate, not implemented here
page:reference/python/cirq/testing/EqualsTester	open	—	API reference of cirq.testing.EqualsTester, not implemented here
page:reference/python/cirq/testing/FakePrinter	open	—	API reference of cirq.testing.FakePrinter, not implemented here
page:reference/python/cirq/testing/NoIdentifierQubit	open	—	API reference of cirq.testing.NoIdentifierQubit, not implemented here
page:reference/python/cirq/testing/OrderTester	open	—	API reference of cirq.testing.OrderTester, not implemented here
page:reference/python/cirq/testing/PhaseUsingCleanAncilla	open	—	API reference of cirq.testing.PhaseUsingCleanAncilla, not implemented here
page:reference/python/cirq/testing/PhaseUsingDirtyAncilla	open	—	API reference of cirq.testing.PhaseUsingDirtyAncilla, not implemented here
page:reference/python/cirq/testing/RoutingTestingDevice	open	—	API reference of cirq.testing.RoutingTestingDevice, not implemented here
page:reference/python/cirq/testing/SingleQubitGate	open	—	API reference of cirq.testing.SingleQubitGate, not implemented here
page:reference/python/cirq/testing/ThreeQubitGate	open	—	API reference of cirq.testing.ThreeQubitGate, not implemented here
page:reference/python/cirq/testing/TwoQubitGate	open	—	API reference of cirq.testing.TwoQubitGate, not implemented here
page:reference/python/cirq/testing/ValidatingTestDevice	open	—	API reference of cirq.testing.ValidatingTestDevice, not implemented here
page:reference/python/cirq/testing/assert_all_implemented_act_on_effects_match_unitary	open	—	API reference of cirq.testing.assert_all_implemented_act_on_effects_match_unitary, not implemented here
page:reference/python/cirq/testing/assert_allclose_up_to_global_phase	open	—	API reference of cirq.testing.assert_allclose_up_to_global_phase, not implemented here
page:reference/python/cirq/testing/assert_circuits_have_same_unitary_given_final_permutation	open	—	API reference of cirq.testing.assert_circuits_have_same_unitary_given_final_permutation, not implemented here
page:reference/python/cirq/testing/assert_circuits_with_terminal_measurements_are_equivalent	open	—	API reference of cirq.testing.assert_circuits_with_terminal_measurements_are_equivalent, not implemented here
page:reference/python/cirq/testing/assert_commutes_magic_method_consistent_with_unitaries	open	—	API reference of cirq.testing.assert_commutes_magic_method_consistent_with_unitaries, not implemented here
page:reference/python/cirq/testing/assert_consistent_channel	open	—	API reference of cirq.testing.assert_consistent_channel, not implemented here
page:reference/python/cirq/testing/assert_consistent_mixture	open	—	API reference of cirq.testing.assert_consistent_mixture, not implemented here
page:reference/python/cirq/testing/assert_consistent_resolve_parameters	open	—	API reference of cirq.testing.assert_consistent_resolve_parameters, not implemented here
page:reference/python/cirq/testing/assert_controlled_and_controlled_by_identical	open	—	API reference of cirq.testing.assert_controlled_and_controlled_by_identical, not implemented here
page:reference/python/cirq/testing/assert_controlled_unitary_consistent	open	—	API reference of cirq.testing.assert_controlled_unitary_consistent, not implemented here
page:reference/python/cirq/testing/assert_decompose_ends_at_default_gateset	open	—	API reference of cirq.testing.assert_decompose_ends_at_default_gateset, not implemented here
page:reference/python/cirq/testing/assert_decompose_is_consistent_with_unitary	open	—	API reference of cirq.testing.assert_decompose_is_consistent_with_unitary, not implemented here
page:reference/python/cirq/testing/assert_deprecated	open	—	API reference of cirq.testing.assert_deprecated, not implemented here
page:reference/python/cirq/testing/assert_eigengate_implements_consistent_protocols	open	—	API reference of cirq.testing.assert_eigengate_implements_consistent_protocols, not implemented here
page:reference/python/cirq/testing/assert_equivalent_computational_basis_map	open	—	API reference of cirq.testing.assert_equivalent_computational_basis_map, not implemented here
page:reference/python/cirq/testing/assert_equivalent_op_tree	open	—	API reference of cirq.testing.assert_equivalent_op_tree, not implemented here
page:reference/python/cirq/testing/assert_equivalent_repr	open	—	API reference of cirq.testing.assert_equivalent_repr, not implemented here
page:reference/python/cirq/testing/assert_has_consistent_apply_channel	open	—	API reference of cirq.testing.assert_has_consistent_apply_channel, not implemented here
page:reference/python/cirq/testing/assert_has_consistent_apply_unitary	open	—	API reference of cirq.testing.assert_has_consistent_apply_unitary, not implemented here
page:reference/python/cirq/testing/assert_has_consistent_apply_unitary_for_various_exponents	open	—	API reference of cirq.testing.assert_has_consistent_apply_unitary_for_various_exponents, not implemented here
page:reference/python/cirq/testing/assert_has_consistent_qid_shape	open	—	API reference of cirq.testing.assert_has_consistent_qid_shape, not implemented here
page:reference/python/cirq/testing/assert_has_consistent_trace_distance_bound	open	—	API reference of cirq.testing.assert_has_consistent_trace_distance_bound, not implemented here
page:reference/python/cirq/testing/assert_has_diagram	open	—	API reference of cirq.testing.assert_has_diagram, not implemented here
page:reference/python/cirq/testing/assert_implements_consistent_protocols	open	—	API reference of cirq.testing.assert_implements_consistent_protocols, not implemented here
page:reference/python/cirq/testing/assert_json_roundtrip_works	open	—	API reference of cirq.testing.assert_json_roundtrip_works, not implemented here
page:reference/python/cirq/testing/assert_logs	open	—	API reference of cirq.testing.assert_logs, not implemented here
page:reference/python/cirq/testing/assert_pauli_expansion_is_consistent_with_unitary	open	—	API reference of cirq.testing.assert_pauli_expansion_is_consistent_with_unitary, not implemented here
page:reference/python/cirq/testing/assert_phase_by_is_consistent_with_unitary	open	—	API reference of cirq.testing.assert_phase_by_is_consistent_with_unitary, not implemented here
page:reference/python/cirq/testing/assert_qasm_is_consistent_with_unitary	open	—	API reference of cirq.testing.assert_qasm_is_consistent_with_unitary, not implemented here
page:reference/python/cirq/testing/assert_repr_pretty	open	—	API reference of cirq.testing.assert_repr_pretty, not implemented here
page:reference/python/cirq/testing/assert_repr_pretty_contains	open	—	API reference of cirq.testing.assert_repr_pretty_contains, not implemented here
page:reference/python/cirq/testing/assert_same_circuits	open	—	API reference of cirq.testing.assert_same_circuits, not implemented here
page:reference/python/cirq/testing/assert_specifies_has_unitary_if_unitary	open	—	API reference of cirq.testing.assert_specifies_has_unitary_if_unitary, not implemented here
page:reference/python/cirq/testing/assert_unitary_is_consistent	open	—	API reference of cirq.testing.assert_unitary_is_consistent, not implemented here
page:reference/python/cirq/testing/circuit_compare	open	—	API reference of cirq.testing.circuit_compare, not implemented here
page:reference/python/cirq/testing/consistent_act_on	open	—	API reference of cirq.testing.consistent_act_on, not implemented here
page:reference/python/cirq/testing/consistent_act_on/state_vector_has_stabilizer	open	—	API reference of cirq.testing.consistent_act_on.state_vector_has_stabilizer, not implemented here
page:reference/python/cirq/testing/consistent_channels	open	—	API reference of cirq.testing.consistent_channels, not implemented here
page:reference/python/cirq/testing/consistent_controlled_gate_op	open	—	API reference of cirq.testing.consistent_controlled_gate_op, not implemented here
page:reference/python/cirq/testing/consistent_decomposition	open	—	API reference of cirq.testing.consistent_decomposition, not implemented here
page:reference/python/cirq/testing/consistent_pauli_expansion	open	—	API reference of cirq.testing.consistent_pauli_expansion, not implemented here
page:reference/python/cirq/testing/consistent_phase_by	open	—	API reference of cirq.testing.consistent_phase_by, not implemented here
page:reference/python/cirq/testing/consistent_protocols	open	—	API reference of cirq.testing.consistent_protocols, not implemented here
page:reference/python/cirq/testing/consistent_protocols/assert_eigen_shifts_is_consistent_with_eigen_components	open	—	API reference of cirq.testing.consistent_protocols.assert_eigen_shifts_is_consistent_with_eigen_components, not implemented here
page:reference/python/cirq/testing/consistent_qasm	open	—	API reference of cirq.testing.consistent_qasm, not implemented here
page:reference/python/cirq/testing/consistent_qasm/assert_qiskit_parsed_qasm_consistent_with_unitary	open	—	API reference of cirq.testing.consistent_qasm.assert_qiskit_parsed_qasm_consistent_with_unitary, not implemented here
page:reference/python/cirq/testing/consistent_resolve_parameters	open	—	API reference of cirq.testing.consistent_resolve_parameters, not implemented here
page:reference/python/cirq/testing/consistent_specified_has_unitary	open	—	API reference of cirq.testing.consistent_specified_has_unitary, not implemented here
page:reference/python/cirq/testing/consistent_unitary	open	—	API reference of cirq.testing.consistent_unitary, not implemented here
page:reference/python/cirq/testing/construct_grid_device	open	—	API reference of cirq.testing.construct_grid_device, not implemented here
page:reference/python/cirq/testing/construct_ring_device	open	—	API reference of cirq.testing.construct_ring_device, not implemented here
page:reference/python/cirq/testing/deprecation	open	—	API reference of cirq.testing.deprecation, not implemented here
page:reference/python/cirq/testing/devices	open	—	API reference of cirq.testing.devices, not implemented here
page:reference/python/cirq/testing/equals_tester	open	—	API reference of cirq.testing.equals_tester, not implemented here
page:reference/python/cirq/testing/equivalent_basis_map	open	—	API reference of cirq.testing.equivalent_basis_map, not implemented here
page:reference/python/cirq/testing/equivalent_repr_eval	open	—	API reference of cirq.testing.equivalent_repr_eval, not implemented here
page:reference/python/cirq/testing/gate_features	open	—	API reference of cirq.testing.gate_features, not implemented here
page:reference/python/cirq/testing/highlight_text_differences	open	—	API reference of cirq.testing.highlight_text_differences, not implemented here
page:reference/python/cirq/testing/json	open	—	API reference of cirq.testing.json, not implemented here
page:reference/python/cirq/testing/json/ModuleJsonTestSpec	open	—	API reference of cirq.testing.json.ModuleJsonTestSpec, not implemented here
page:reference/python/cirq/testing/json/spec_for	open	—	API reference of cirq.testing.json.spec_for, not implemented here
page:reference/python/cirq/testing/lin_alg_utils	open	—	API reference of cirq.testing.lin_alg_utils, not implemented here
page:reference/python/cirq/testing/logs	open	—	API reference of cirq.testing.logs, not implemented here
page:reference/python/cirq/testing/no_identifier_qubit	open	—	API reference of cirq.testing.no_identifier_qubit, not implemented here
page:reference/python/cirq/testing/nonoptimal_toffoli_circuit	open	—	API reference of cirq.testing.nonoptimal_toffoli_circuit, not implemented here
page:reference/python/cirq/testing/op_tree	open	—	API reference of cirq.testing.op_tree, not implemented here
page:reference/python/cirq/testing/order_tester	open	—	API reference of cirq.testing.order_tester, not implemented here
page:reference/python/cirq/testing/pytest_utils	open	—	API reference of cirq.testing.pytest_utils, not implemented here
page:reference/python/cirq/testing/random_circuit	open	—	API reference of cirq.testing.random_circuit, not implemented here
page:reference/python/cirq/testing/random_density_matrix	open	—	API reference of cirq.testing.random_density_matrix, not implemented here
page:reference/python/cirq/testing/random_orthogonal	open	—	API reference of cirq.testing.random_orthogonal, not implemented here
page:reference/python/cirq/testing/random_special_orthogonal	open	—	API reference of cirq.testing.random_special_orthogonal, not implemented here
page:reference/python/cirq/testing/random_special_unitary	open	—	API reference of cirq.testing.random_special_unitary, not implemented here
page:reference/python/cirq/testing/random_superposition	open	—	API reference of cirq.testing.random_superposition, not implemented here
page:reference/python/cirq/testing/random_two_qubit_circuit_with_czs	open	—	API reference of cirq.testing.random_two_qubit_circuit_with_czs, not implemented here
page:reference/python/cirq/testing/random_unitary	open	—	API reference of cirq.testing.random_unitary, not implemented here
page:reference/python/cirq/testing/repr_pretty_tester	open	—	API reference of cirq.testing.repr_pretty_tester, not implemented here
page:reference/python/cirq/testing/retry_once_after_timeout	open	—	API reference of cirq.testing.retry_once_after_timeout, not implemented here
page:reference/python/cirq/testing/retry_once_with_later_random_values	open	—	API reference of cirq.testing.retry_once_with_later_random_values, not implemented here
page:reference/python/cirq/testing/routing_devices	open	—	API reference of cirq.testing.routing_devices, not implemented here
page:reference/python/cirq/testing/sample_circuits	open	—	API reference of cirq.testing.sample_circuits, not implemented here
page:reference/python/cirq/testing/sample_gates	open	—	API reference of cirq.testing.sample_gates, not implemented here
page:reference/python/cirq/three_qubit_matrix_to_operations	open	—	API reference of cirq.three_qubit_matrix_to_operations, not implemented here
page:reference/python/cirq/to_json	open	—	API reference of cirq.to_json, not implemented here
page:reference/python/cirq/to_json_gzip	open	—	API reference of cirq.to_json_gzip, not implemented here
page:reference/python/cirq/to_resolvers	open	—	API reference of cirq.to_resolvers, not implemented here
page:reference/python/cirq/to_special	open	—	API reference of cirq.to_special, not implemented here
page:reference/python/cirq/to_sweep	open	—	API reference of cirq.to_sweep, not implemented here
page:reference/python/cirq/to_sweeps	open	—	API reference of cirq.to_sweeps, not implemented here
page:reference/python/cirq/to_valid_density_matrix	open	—	API reference of cirq.to_valid_density_matrix, not implemented here
page:reference/python/cirq/to_valid_state_vector	open	—	API reference of cirq.to_valid_state_vector, not implemented here
page:reference/python/cirq/toggle_tags	open	—	API reference of cirq.toggle_tags, not implemented here
page:reference/python/cirq/trace_distance_bound	open	—	API reference of cirq.trace_distance_bound, not implemented here
page:reference/python/cirq/trace_distance_from_angle_list	open	—	API reference of cirq.trace_distance_from_angle_list, not implemented here
page:reference/python/cirq/transform_op_tree	open	—	API reference of cirq.transform_op_tree, not implemented here
page:reference/python/cirq/transformer	open	—	API reference of cirq.transformer, not implemented here
page:reference/python/cirq/two_qubit_gate_numerical_compilation	open	—	API reference of cirq.two_qubit_gate_numerical_compilation, not implemented here
page:reference/python/cirq/two_qubit_gate_product_tabulation	open	—	API reference of cirq.two_qubit_gate_product_tabulation, not implemented here
page:reference/python/cirq/two_qubit_matrix_to_cz_isometry	open	—	API reference of cirq.two_qubit_matrix_to_cz_isometry, not implemented here
page:reference/python/cirq/two_qubit_matrix_to_cz_operations	open	—	API reference of cirq.two_qubit_matrix_to_cz_operations, not implemented here
page:reference/python/cirq/two_qubit_matrix_to_diagonal_and_cz_operations	open	—	API reference of cirq.two_qubit_matrix_to_diagonal_and_cz_operations, not implemented here
page:reference/python/cirq/two_qubit_matrix_to_ion_operations	open	—	API reference of cirq.two_qubit_matrix_to_ion_operations, not implemented here
page:reference/python/cirq/two_qubit_matrix_to_sqrt_iswap_operations	open	—	API reference of cirq.two_qubit_matrix_to_sqrt_iswap_operations, not implemented here
page:reference/python/cirq/unitary	served	circuit	API reference of cirq.unitary; implemented here as applied (every gate carries its unitary)
page:reference/python/cirq/unitary_eig	open	—	API reference of cirq.unitary_eig, not implemented here
page:reference/python/cirq/unroll_circuit_op	open	—	API reference of cirq.unroll_circuit_op, not implemented here
page:reference/python/cirq/unroll_circuit_op_greedy_earliest	open	—	API reference of cirq.unroll_circuit_op_greedy_earliest, not implemented here
page:reference/python/cirq/unroll_circuit_op_greedy_frontier	open	—	API reference of cirq.unroll_circuit_op_greedy_frontier, not implemented here
page:reference/python/cirq/validate_density_matrix	open	—	API reference of cirq.validate_density_matrix, not implemented here
page:reference/python/cirq/validate_indices	open	—	API reference of cirq.validate_indices, not implemented here
page:reference/python/cirq/validate_mixture	open	—	API reference of cirq.validate_mixture, not implemented here
page:reference/python/cirq/validate_normalized_state_vector	open	—	API reference of cirq.validate_normalized_state_vector, not implemented here
page:reference/python/cirq/validate_probability	open	—	API reference of cirq.validate_probability, not implemented here
page:reference/python/cirq/validate_qid_shape	open	—	API reference of cirq.validate_qid_shape, not implemented here
page:reference/python/cirq/value_equality	open	—	API reference of cirq.value_equality, not implemented here
page:reference/python/cirq/von_neumann_entropy	open	—	API reference of cirq.von_neumann_entropy, not implemented here
page:reference/python/cirq/wait	open	—	API reference of cirq.wait, not implemented here
page:reference/python/cirq/with_debug	open	—	API reference of cirq.with_debug, not implemented here
page:reference/python/cirq/with_key_path	open	—	API reference of cirq.with_key_path, not implemented here
page:reference/python/cirq/with_key_path_prefix	open	—	API reference of cirq.with_key_path_prefix, not implemented here
page:reference/python/cirq/with_measurement_key_mapping	open	—	API reference of cirq.with_measurement_key_mapping, not implemented here
page:reference/python/cirq/with_rescoped_keys	open	—	API reference of cirq.with_rescoped_keys, not implemented here
page:reference/python/cirq/xeb_fidelity	open	—	API reference of cirq.xeb_fidelity, not implemented here
page:reference/python/cirq_aqt	open	—	the page reference/python/cirq_aqt
page:reference/python/cirq_aqt/all_symbols	out_of_scope	—	API reference of cirq_aqt.all_symbols
page:reference/python/cirq_aqt/aqt_device	out_of_scope	—	API reference of cirq_aqt.aqt_device
page:reference/python/cirq_aqt/aqt_device/AQTDevice	out_of_scope	—	API reference of cirq_aqt.aqt_device.AQTDevice
page:reference/python/cirq_aqt/aqt_device/AQTNoiseModel	out_of_scope	—	API reference of cirq_aqt.aqt_device.AQTNoiseModel
page:reference/python/cirq_aqt/aqt_device/AQTSimulator	out_of_scope	—	API reference of cirq_aqt.aqt_device.AQTSimulator
page:reference/python/cirq_aqt/aqt_device/OperationString	out_of_scope	—	API reference of cirq_aqt.aqt_device.OperationString
page:reference/python/cirq_aqt/aqt_device/get_aqt_device	out_of_scope	—	API reference of cirq_aqt.aqt_device.get_aqt_device
page:reference/python/cirq_aqt/aqt_device/get_default_noise_dict	out_of_scope	—	API reference of cirq_aqt.aqt_device.get_default_noise_dict
page:reference/python/cirq_aqt/aqt_device/get_op_string	out_of_scope	—	API reference of cirq_aqt.aqt_device.get_op_string
page:reference/python/cirq_aqt/aqt_device_metadata	out_of_scope	—	API reference of cirq_aqt.aqt_device_metadata
page:reference/python/cirq_aqt/aqt_device_metadata/AQTDeviceMetadata	out_of_scope	—	API reference of cirq_aqt.aqt_device_metadata.AQTDeviceMetadata
page:reference/python/cirq_aqt/aqt_sampler	out_of_scope	—	API reference of cirq_aqt.aqt_sampler
page:reference/python/cirq_aqt/aqt_sampler/AQTSampler	out_of_scope	—	API reference of cirq_aqt.aqt_sampler.AQTSampler
page:reference/python/cirq_aqt/aqt_sampler/AQTSamplerLocalSimulator	out_of_scope	—	API reference of cirq_aqt.aqt_sampler.AQTSamplerLocalSimulator
page:reference/python/cirq_aqt/aqt_sampler/GateR	out_of_scope	—	API reference of cirq_aqt.aqt_sampler.GateR
page:reference/python/cirq_aqt/aqt_sampler/GateRXX	out_of_scope	—	API reference of cirq_aqt.aqt_sampler.GateRXX
page:reference/python/cirq_aqt/aqt_sampler/GateRZ	out_of_scope	—	API reference of cirq_aqt.aqt_sampler.GateRZ
page:reference/python/cirq_aqt/aqt_sampler/Measure	out_of_scope	—	API reference of cirq_aqt.aqt_sampler.Measure
page:reference/python/cirq_aqt/aqt_sampler/Resource	out_of_scope	—	API reference of cirq_aqt.aqt_sampler.Resource
page:reference/python/cirq_aqt/aqt_sampler/SingleQubitGate	out_of_scope	—	API reference of cirq_aqt.aqt_sampler.SingleQubitGate
page:reference/python/cirq_aqt/aqt_sampler/Workspace	out_of_scope	—	API reference of cirq_aqt.aqt_sampler.Workspace
page:reference/python/cirq_aqt/aqt_target_gateset	out_of_scope	—	API reference of cirq_aqt.aqt_target_gateset
page:reference/python/cirq_aqt/aqt_target_gateset/AQTTargetGateset	out_of_scope	—	API reference of cirq_aqt.aqt_target_gateset.AQTTargetGateset
page:reference/python/cirq_google	open	—	the page reference/python/cirq_google
page:reference/python/cirq_google/all_symbols	open	—	API reference of cirq_google.all_symbols, not implemented here
page:reference/python/cirq_google/api	open	—	API reference of cirq_google.api, not implemented here
page:reference/python/cirq_google/api/v2	open	—	API reference of cirq_google.api.v2, not implemented here
page:reference/python/cirq_google/api/v2/MeasureInfo	open	—	API reference of cirq_google.api.v2.MeasureInfo, not implemented here
page:reference/python/cirq_google/api/v2/device_pb2	open	—	API reference of cirq_google.api.v2.device_pb2, not implemented here
page:reference/python/cirq_google/api/v2/device_pb2/ArgDefinition	open	—	API reference of cirq_google.api.v2.device_pb2.ArgDefinition, not implemented here
page:reference/python/cirq_google/api/v2/device_pb2/ArgumentRange	open	—	API reference of cirq_google.api.v2.device_pb2.ArgumentRange, not implemented here
page:reference/python/cirq_google/api/v2/device_pb2/DeviceSpecification	open	—	API reference of cirq_google.api.v2.device_pb2.DeviceSpecification, not implemented here
page:reference/python/cirq_google/api/v2/device_pb2/DeviceSpecification/QubitAttributesEntry	open	—	API reference of cirq_google.api.v2.device_pb2.DeviceSpecification.QubitAttributesEntry, not implemented here
page:reference/python/cirq_google/api/v2/device_pb2/GateDefinition	open	—	API reference of cirq_google.api.v2.device_pb2.GateDefinition, not implemented here
page:reference/python/cirq_google/api/v2/device_pb2/GateSet	open	—	API reference of cirq_google.api.v2.device_pb2.GateSet, not implemented here
page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification	open	—	API reference of cirq_google.api.v2.device_pb2.GateSpecification, not implemented here
page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/AnalogDetuneCouplerOnly	open	—	API reference of cirq_google.api.v2.device_pb2.GateSpecification.AnalogDetuneCouplerOnly, not implemented here
page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/AnalogDetuneQubit	open	—	API reference of cirq_google.api.v2.device_pb2.GateSpecification.AnalogDetuneQubit, not implemented here
page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/CZ	open	—	API reference of cirq_google.api.v2.device_pb2.GateSpecification.CZ, not implemented here
page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/CZPowGate	open	—	API reference of cirq_google.api.v2.device_pb2.GateSpecification.CZPowGate, not implemented here
page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/CouplerPulse	open	—	API reference of cirq_google.api.v2.device_pb2.GateSpecification.CouplerPulse, not implemented here
page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/FSimViaModel	open	—	API reference of cirq_google.api.v2.device_pb2.GateSpecification.FSimViaModel, not implemented here
page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/InternalGate	open	—	API reference of cirq_google.api.v2.device_pb2.GateSpecification.InternalGate, not implemented here
page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/Measurement	open	—	API reference of cirq_google.api.v2.device_pb2.GateSpecification.Measurement, not implemented here
page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/PhasedXZ	open	—	API reference of cirq_google.api.v2.device_pb2.GateSpecification.PhasedXZ, not implemented here
page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/PhysicalZPow	open	—	API reference of cirq_google.api.v2.device_pb2.GateSpecification.PhysicalZPow, not implemented here
page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/Reset	open	—	API reference of cirq_google.api.v2.device_pb2.GateSpecification.Reset, not implemented here
page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/SqrtISwap	open	—	API reference of cirq_google.api.v2.device_pb2.GateSpecification.SqrtISwap, not implemented here
page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/SqrtISwapInv	open	—	API reference of cirq_google.api.v2.device_pb2.GateSpecification.SqrtISwapInv, not implemented here
page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/Sycamore	open	—	API reference of cirq_google.api.v2.device_pb2.GateSpecification.Sycamore, not implemented here
page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/TwoPulseFSim	open	—	API reference of cirq_google.api.v2.device_pb2.GateSpecification.TwoPulseFSim, not implemented here
page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/VirtualZPow	open	—	API reference of cirq_google.api.v2.device_pb2.GateSpecification.VirtualZPow, not implemented here
page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/Wait	open	—	API reference of cirq_google.api.v2.device_pb2.GateSpecification.Wait, not implemented here
page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/WaitGateWithUnit	open	—	API reference of cirq_google.api.v2.device_pb2.GateSpecification.WaitGateWithUnit, not implemented here
page:reference/python/cirq_google/api/v2/device_pb2/QubitAttributeValue	open	—	API reference of cirq_google.api.v2.device_pb2.QubitAttributeValue, not implemented here
page:reference/python/cirq_google/api/v2/device_pb2/QubitAttributes	open	—	API reference of cirq_google.api.v2.device_pb2.QubitAttributes, not implemented here
page:reference/python/cirq_google/api/v2/device_pb2/QubitAttributes/AttributesEntry	open	—	API reference of cirq_google.api.v2.device_pb2.QubitAttributes.AttributesEntry, not implemented here
page:reference/python/cirq_google/api/v2/device_pb2/Target	open	—	API reference of cirq_google.api.v2.device_pb2.Target, not implemented here
page:reference/python/cirq_google/api/v2/device_pb2/TargetSet	open	—	API reference of cirq_google.api.v2.device_pb2.TargetSet, not implemented here
page:reference/python/cirq_google/api/v2/find_measurements	open	—	API reference of cirq_google.api.v2.find_measurements, not implemented here
page:reference/python/cirq_google/api/v2/grid_qubit_from_proto_id	open	—	API reference of cirq_google.api.v2.grid_qubit_from_proto_id, not implemented here
page:reference/python/cirq_google/api/v2/line_qubit_from_proto_id	open	—	API reference of cirq_google.api.v2.line_qubit_from_proto_id, not implemented here
page:reference/python/cirq_google/api/v2/metrics_pb2	open	—	API reference of cirq_google.api.v2.metrics_pb2, not implemented here
page:reference/python/cirq_google/api/v2/metrics_pb2/Metric	open	—	API reference of cirq_google.api.v2.metrics_pb2.Metric, not implemented here
page:reference/python/cirq_google/api/v2/metrics_pb2/MetricsSnapshot	open	—	API reference of cirq_google.api.v2.metrics_pb2.MetricsSnapshot, not implemented here
page:reference/python/cirq_google/api/v2/metrics_pb2/Value	open	—	API reference of cirq_google.api.v2.metrics_pb2.Value, not implemented here
page:reference/python/cirq_google/api/v2/named_qubit_from_proto_id	open	—	API reference of cirq_google.api.v2.named_qubit_from_proto_id, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays	open	—	API reference of cirq_google.api.v2.ndarrays, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays/TUIntMsg	open	—	API reference of cirq_google.api.v2.ndarrays.TUIntMsg, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays/from_bitarray	open	—	API reference of cirq_google.api.v2.ndarrays.from_bitarray, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays/from_complex128_array	open	—	API reference of cirq_google.api.v2.ndarrays.from_complex128_array, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays/from_complex64_array	open	—	API reference of cirq_google.api.v2.ndarrays.from_complex64_array, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays/from_float16_array	open	—	API reference of cirq_google.api.v2.ndarrays.from_float16_array, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays/from_float32_array	open	—	API reference of cirq_google.api.v2.ndarrays.from_float32_array, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays/from_float64_array	open	—	API reference of cirq_google.api.v2.ndarrays.from_float64_array, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays/from_int16_array	open	—	API reference of cirq_google.api.v2.ndarrays.from_int16_array, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays/from_int32_array	open	—	API reference of cirq_google.api.v2.ndarrays.from_int32_array, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays/from_int64_array	open	—	API reference of cirq_google.api.v2.ndarrays.from_int64_array, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays/from_int8_array	open	—	API reference of cirq_google.api.v2.ndarrays.from_int8_array, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays/from_uint8_array	open	—	API reference of cirq_google.api.v2.ndarrays.from_uint8_array, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays/to_bitarray	open	—	API reference of cirq_google.api.v2.ndarrays.to_bitarray, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays/to_complex128_array	open	—	API reference of cirq_google.api.v2.ndarrays.to_complex128_array, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays/to_complex64_array	open	—	API reference of cirq_google.api.v2.ndarrays.to_complex64_array, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays/to_float16_array	open	—	API reference of cirq_google.api.v2.ndarrays.to_float16_array, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays/to_float32_array	open	—	API reference of cirq_google.api.v2.ndarrays.to_float32_array, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays/to_float64_array	open	—	API reference of cirq_google.api.v2.ndarrays.to_float64_array, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays/to_int16_array	open	—	API reference of cirq_google.api.v2.ndarrays.to_int16_array, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays/to_int32_array	open	—	API reference of cirq_google.api.v2.ndarrays.to_int32_array, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays/to_int64_array	open	—	API reference of cirq_google.api.v2.ndarrays.to_int64_array, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays/to_int8_array	open	—	API reference of cirq_google.api.v2.ndarrays.to_int8_array, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays/to_uint8_array	open	—	API reference of cirq_google.api.v2.ndarrays.to_uint8_array, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays_pb2	open	—	API reference of cirq_google.api.v2.ndarrays_pb2, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays_pb2/BitArray	open	—	API reference of cirq_google.api.v2.ndarrays_pb2.BitArray, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays_pb2/Complex128Array	open	—	API reference of cirq_google.api.v2.ndarrays_pb2.Complex128Array, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays_pb2/Complex64Array	open	—	API reference of cirq_google.api.v2.ndarrays_pb2.Complex64Array, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays_pb2/Float16Array	open	—	API reference of cirq_google.api.v2.ndarrays_pb2.Float16Array, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays_pb2/Float32Array	open	—	API reference of cirq_google.api.v2.ndarrays_pb2.Float32Array, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays_pb2/Float64Array	open	—	API reference of cirq_google.api.v2.ndarrays_pb2.Float64Array, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays_pb2/Int16Array	open	—	API reference of cirq_google.api.v2.ndarrays_pb2.Int16Array, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays_pb2/Int32Array	open	—	API reference of cirq_google.api.v2.ndarrays_pb2.Int32Array, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays_pb2/Int64Array	open	—	API reference of cirq_google.api.v2.ndarrays_pb2.Int64Array, not implemented here
page:reference/python/cirq_google/api/v2/ndarrays_pb2/Int8Array	open	—	API reference of cirq_google.api.v2.ndarrays_pb2.Int8Array, not implemented here
page:reference/python/cirq_google/api/v2/pack_bits	open	—	API reference of cirq_google.api.v2.pack_bits, not implemented here
page:reference/python/cirq_google/api/v2/program	open	—	API reference of cirq_google.api.v2.program, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2	open	—	API reference of cirq_google.api.v2.program_pb2, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/AnalogDetuneCouplerOnly	open	—	API reference of cirq_google.api.v2.program_pb2.AnalogDetuneCouplerOnly, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/AnalogDetuneQubit	open	—	API reference of cirq_google.api.v2.program_pb2.AnalogDetuneQubit, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/Arg	open	—	API reference of cirq_google.api.v2.program_pb2.Arg, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/ArgFunction	open	—	API reference of cirq_google.api.v2.program_pb2.ArgFunction, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/ArgMapping	open	—	API reference of cirq_google.api.v2.program_pb2.ArgMapping, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/ArgMapping/ArgEntry	open	—	API reference of cirq_google.api.v2.program_pb2.ArgMapping.ArgEntry, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/ArgValue	open	—	API reference of cirq_google.api.v2.program_pb2.ArgValue, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/CZPowGate	open	—	API reference of cirq_google.api.v2.program_pb2.CZPowGate, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/CalibrationTag	open	—	API reference of cirq_google.api.v2.program_pb2.CalibrationTag, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/Circuit	open	—	API reference of cirq_google.api.v2.program_pb2.Circuit, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/CircuitOperation	open	—	API reference of cirq_google.api.v2.program_pb2.CircuitOperation, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/ClassicalStateTag	open	—	API reference of cirq_google.api.v2.program_pb2.ClassicalStateTag, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/CliffordTableau	open	—	API reference of cirq_google.api.v2.program_pb2.CliffordTableau, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/Complex	open	—	API reference of cirq_google.api.v2.program_pb2.Complex, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/CompressDurationTag	open	—	API reference of cirq_google.api.v2.program_pb2.CompressDurationTag, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/Constant	open	—	API reference of cirq_google.api.v2.program_pb2.Constant, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/CouplerPulseGate	open	—	API reference of cirq_google.api.v2.program_pb2.CouplerPulseGate, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/CustomArg	open	—	API reference of cirq_google.api.v2.program_pb2.CustomArg, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/DepolarizingChannel	open	—	API reference of cirq_google.api.v2.program_pb2.DepolarizingChannel, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/DynamicalDecouplingTag	open	—	API reference of cirq_google.api.v2.program_pb2.DynamicalDecouplingTag, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/FSimGate	open	—	API reference of cirq_google.api.v2.program_pb2.FSimGate, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/FSimViaModelTag	open	—	API reference of cirq_google.api.v2.program_pb2.FSimViaModelTag, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/FloatArg	open	—	API reference of cirq_google.api.v2.program_pb2.FloatArg, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/FunctionInterpolation	open	—	API reference of cirq_google.api.v2.program_pb2.FunctionInterpolation, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/Gate	open	—	API reference of cirq_google.api.v2.program_pb2.Gate, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/HPowGate	open	—	API reference of cirq_google.api.v2.program_pb2.HPowGate, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/ISwapLikeGate	open	—	API reference of cirq_google.api.v2.program_pb2.ISwapLikeGate, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/ISwapPowGate	open	—	API reference of cirq_google.api.v2.program_pb2.ISwapPowGate, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/IdentityGate	open	—	API reference of cirq_google.api.v2.program_pb2.IdentityGate, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/InternalGate	open	—	API reference of cirq_google.api.v2.program_pb2.InternalGate, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/InternalGate/CustomArgsEntry	open	—	API reference of cirq_google.api.v2.program_pb2.InternalGate.CustomArgsEntry, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/InternalGate/GateArgsEntry	open	—	API reference of cirq_google.api.v2.program_pb2.InternalGate.GateArgsEntry, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/InternalTag	open	—	API reference of cirq_google.api.v2.program_pb2.InternalTag, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/InternalTag/CustomArgsEntry	open	—	API reference of cirq_google.api.v2.program_pb2.InternalTag.CustomArgsEntry, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/InternalTag/TagArgsEntry	open	—	API reference of cirq_google.api.v2.program_pb2.InternalTag.TagArgsEntry, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/KeyedCircuit	open	—	API reference of cirq_google.api.v2.program_pb2.KeyedCircuit, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/KeyedCircuit/ArgsEntry	open	—	API reference of cirq_google.api.v2.program_pb2.KeyedCircuit.ArgsEntry, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/Language	open	—	API reference of cirq_google.api.v2.program_pb2.Language, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/MeasurementGate	open	—	API reference of cirq_google.api.v2.program_pb2.MeasurementGate, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/MeasurementKey	open	—	API reference of cirq_google.api.v2.program_pb2.MeasurementKey, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/MeasurementKeyMapping	open	—	API reference of cirq_google.api.v2.program_pb2.MeasurementKeyMapping, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/MeasurementKeyMapping/MeasurementKeyEntry	open	—	API reference of cirq_google.api.v2.program_pb2.MeasurementKeyMapping.MeasurementKeyEntry, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/Moment	open	—	API reference of cirq_google.api.v2.program_pb2.Moment, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/NDArray	open	—	API reference of cirq_google.api.v2.program_pb2.NDArray, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/NoSyncTag	open	—	API reference of cirq_google.api.v2.program_pb2.NoSyncTag, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/NoiseChannel	open	—	API reference of cirq_google.api.v2.program_pb2.NoiseChannel, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/Operation	open	—	API reference of cirq_google.api.v2.program_pb2.Operation, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/PhaseMatchTag	open	—	API reference of cirq_google.api.v2.program_pb2.PhaseMatchTag, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/PhasedXPowGate	open	—	API reference of cirq_google.api.v2.program_pb2.PhasedXPowGate, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/PhasedXZGate	open	—	API reference of cirq_google.api.v2.program_pb2.PhasedXZGate, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/PhysicalZTag	open	—	API reference of cirq_google.api.v2.program_pb2.PhysicalZTag, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/Program	open	—	API reference of cirq_google.api.v2.program_pb2.Program, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/Qubit	open	—	API reference of cirq_google.api.v2.program_pb2.Qubit, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/QubitMapping	open	—	API reference of cirq_google.api.v2.program_pb2.QubitMapping, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/QubitMapping/QubitEntry	open	—	API reference of cirq_google.api.v2.program_pb2.QubitMapping.QubitEntry, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/RandomGateChannel	open	—	API reference of cirq_google.api.v2.program_pb2.RandomGateChannel, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/RepeatedBoolean	open	—	API reference of cirq_google.api.v2.program_pb2.RepeatedBoolean, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/RepeatedDouble	open	—	API reference of cirq_google.api.v2.program_pb2.RepeatedDouble, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/RepeatedInt64	open	—	API reference of cirq_google.api.v2.program_pb2.RepeatedInt64, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/RepeatedString	open	—	API reference of cirq_google.api.v2.program_pb2.RepeatedString, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/RepetitionSpecification	open	—	API reference of cirq_google.api.v2.program_pb2.RepetitionSpecification, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/RepetitionSpecification/RepetitionIds	open	—	API reference of cirq_google.api.v2.program_pb2.RepetitionSpecification.RepetitionIds, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/ResetGate	open	—	API reference of cirq_google.api.v2.program_pb2.ResetGate, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/ResetGate/ArgumentsEntry	open	—	API reference of cirq_google.api.v2.program_pb2.ResetGate.ArgumentsEntry, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/SingleQubitCliffordGate	open	—	API reference of cirq_google.api.v2.program_pb2.SingleQubitCliffordGate, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/Tag	open	—	API reference of cirq_google.api.v2.program_pb2.Tag, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/Tuple	open	—	API reference of cirq_google.api.v2.program_pb2.Tuple, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/TwoPulseFSimTag	open	—	API reference of cirq_google.api.v2.program_pb2.TwoPulseFSimTag, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/WaitGate	open	—	API reference of cirq_google.api.v2.program_pb2.WaitGate, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/WaitGateWithUnit	open	—	API reference of cirq_google.api.v2.program_pb2.WaitGateWithUnit, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/XPowGate	open	—	API reference of cirq_google.api.v2.program_pb2.XPowGate, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/YPowGate	open	—	API reference of cirq_google.api.v2.program_pb2.YPowGate, not implemented here
page:reference/python/cirq_google/api/v2/program_pb2/ZPowGate	open	—	API reference of cirq_google.api.v2.program_pb2.ZPowGate, not implemented here
page:reference/python/cirq_google/api/v2/qubit_from_proto_id	open	—	API reference of cirq_google.api.v2.qubit_from_proto_id, not implemented here
page:reference/python/cirq_google/api/v2/qubit_to_proto_id	open	—	API reference of cirq_google.api.v2.qubit_to_proto_id, not implemented here
page:reference/python/cirq_google/api/v2/result_pb2	open	—	API reference of cirq_google.api.v2.result_pb2, not implemented here
page:reference/python/cirq_google/api/v2/result_pb2/MeasurementResult	open	—	API reference of cirq_google.api.v2.result_pb2.MeasurementResult, not implemented here
page:reference/python/cirq_google/api/v2/result_pb2/ParameterDict	open	—	API reference of cirq_google.api.v2.result_pb2.ParameterDict, not implemented here
page:reference/python/cirq_google/api/v2/result_pb2/ParameterDict/ArgsEntry	open	—	API reference of cirq_google.api.v2.result_pb2.ParameterDict.ArgsEntry, not implemented here
page:reference/python/cirq_google/api/v2/result_pb2/ParameterDict/AssignmentsEntry	open	—	API reference of cirq_google.api.v2.result_pb2.ParameterDict.AssignmentsEntry, not implemented here
page:reference/python/cirq_google/api/v2/result_pb2/ParameterizedResult	open	—	API reference of cirq_google.api.v2.result_pb2.ParameterizedResult, not implemented here
page:reference/python/cirq_google/api/v2/result_pb2/QuantumCircuitCalibration	open	—	API reference of cirq_google.api.v2.result_pb2.QuantumCircuitCalibration, not implemented here
page:reference/python/cirq_google/api/v2/result_pb2/QubitMeasurementResult	open	—	API reference of cirq_google.api.v2.result_pb2.QubitMeasurementResult, not implemented here
page:reference/python/cirq_google/api/v2/result_pb2/Result	open	—	API reference of cirq_google.api.v2.result_pb2.Result, not implemented here
page:reference/python/cirq_google/api/v2/result_pb2/SweepResult	open	—	API reference of cirq_google.api.v2.result_pb2.SweepResult, not implemented here
page:reference/python/cirq_google/api/v2/results	open	—	API reference of cirq_google.api.v2.results, not implemented here
page:reference/python/cirq_google/api/v2/results_from_proto	open	—	API reference of cirq_google.api.v2.results_from_proto, not implemented here
page:reference/python/cirq_google/api/v2/results_to_proto	open	—	API reference of cirq_google.api.v2.results_to_proto, not implemented here
page:reference/python/cirq_google/api/v2/run_context_pb2	open	—	API reference of cirq_google.api.v2.run_context_pb2, not implemented here
page:reference/python/cirq_google/api/v2/run_context_pb2/ConstValue	open	—	API reference of cirq_google.api.v2.run_context_pb2.ConstValue, not implemented here
page:reference/python/cirq_google/api/v2/run_context_pb2/DeviceParameter	open	—	API reference of cirq_google.api.v2.run_context_pb2.DeviceParameter, not implemented here
page:reference/python/cirq_google/api/v2/run_context_pb2/DeviceParametersDiff	open	—	API reference of cirq_google.api.v2.run_context_pb2.DeviceParametersDiff, not implemented here
page:reference/python/cirq_google/api/v2/run_context_pb2/DeviceParametersDiff/GenericValue	open	—	API reference of cirq_google.api.v2.run_context_pb2.DeviceParametersDiff.GenericValue, not implemented here
page:reference/python/cirq_google/api/v2/run_context_pb2/DeviceParametersDiff/Param	open	—	API reference of cirq_google.api.v2.run_context_pb2.DeviceParametersDiff.Param, not implemented here
page:reference/python/cirq_google/api/v2/run_context_pb2/DeviceParametersDiff/ResourceGroup	open	—	API reference of cirq_google.api.v2.run_context_pb2.DeviceParametersDiff.ResourceGroup, not implemented here
page:reference/python/cirq_google/api/v2/run_context_pb2/FiniteRandomVariable	open	—	API reference of cirq_google.api.v2.run_context_pb2.FiniteRandomVariable, not implemented here
page:reference/python/cirq_google/api/v2/run_context_pb2/FiniteRandomVariable/DistributionEntry	open	—	API reference of cirq_google.api.v2.run_context_pb2.FiniteRandomVariable.DistributionEntry, not implemented here
page:reference/python/cirq_google/api/v2/run_context_pb2/Linspace	open	—	API reference of cirq_google.api.v2.run_context_pb2.Linspace, not implemented here
page:reference/python/cirq_google/api/v2/run_context_pb2/Metadata	open	—	API reference of cirq_google.api.v2.run_context_pb2.Metadata, not implemented here
page:reference/python/cirq_google/api/v2/run_context_pb2/ParameterSweep	open	—	API reference of cirq_google.api.v2.run_context_pb2.ParameterSweep, not implemented here
page:reference/python/cirq_google/api/v2/run_context_pb2/Points	open	—	API reference of cirq_google.api.v2.run_context_pb2.Points, not implemented here
page:reference/python/cirq_google/api/v2/run_context_pb2/RunContext	open	—	API reference of cirq_google.api.v2.run_context_pb2.RunContext, not implemented here
page:reference/python/cirq_google/api/v2/run_context_pb2/SingleSweep	open	—	API reference of cirq_google.api.v2.run_context_pb2.SingleSweep, not implemented here
page:reference/python/cirq_google/api/v2/run_context_pb2/Sweep	open	—	API reference of cirq_google.api.v2.run_context_pb2.Sweep, not implemented here
page:reference/python/cirq_google/api/v2/run_context_pb2/SweepFunction	open	—	API reference of cirq_google.api.v2.run_context_pb2.SweepFunction, not implemented here
page:reference/python/cirq_google/api/v2/run_context_to_proto	open	—	API reference of cirq_google.api.v2.run_context_to_proto, not implemented here
page:reference/python/cirq_google/api/v2/sweep_from_proto	open	—	API reference of cirq_google.api.v2.sweep_from_proto, not implemented here
page:reference/python/cirq_google/api/v2/sweep_to_proto	open	—	API reference of cirq_google.api.v2.sweep_to_proto, not implemented here
page:reference/python/cirq_google/api/v2/sweeps	open	—	API reference of cirq_google.api.v2.sweeps, not implemented here
page:reference/python/cirq_google/api/v2/sweeps/metadata_from_proto	open	—	API reference of cirq_google.api.v2.sweeps.metadata_from_proto, not implemented here
page:reference/python/cirq_google/api/v2/sweeps/metadata_to_proto	open	—	API reference of cirq_google.api.v2.sweeps.metadata_to_proto, not implemented here
page:reference/python/cirq_google/api/v2/sweeps/sweepable_to_proto	open	—	API reference of cirq_google.api.v2.sweeps.sweepable_to_proto, not implemented here
page:reference/python/cirq_google/api/v2/unpack_bits	open	—	API reference of cirq_google.api.v2.unpack_bits, not implemented here
page:reference/python/cirq_google/cloud	open	—	API reference of cirq_google.cloud, not implemented here
page:reference/python/cirq_google/cloud/quantum	open	—	API reference of cirq_google.cloud.quantum, not implemented here
page:reference/python/cirq_google/cloud/quantum/CancelQuantumJobRequest	open	—	API reference of cirq_google.cloud.quantum.CancelQuantumJobRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/CancelQuantumReservationRequest	open	—	API reference of cirq_google.cloud.quantum.CancelQuantumReservationRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/CompileQecProgramRequest	open	—	API reference of cirq_google.cloud.quantum.CompileQecProgramRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/CompileQecProgramResponse	open	—	API reference of cirq_google.cloud.quantum.CompileQecProgramResponse, not implemented here
page:reference/python/cirq_google/cloud/quantum/CreateQuantumJobRequest	open	—	API reference of cirq_google.cloud.quantum.CreateQuantumJobRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/CreateQuantumProgramAndJobRequest	open	—	API reference of cirq_google.cloud.quantum.CreateQuantumProgramAndJobRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/CreateQuantumProgramRequest	open	—	API reference of cirq_google.cloud.quantum.CreateQuantumProgramRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/CreateQuantumReservationRequest	open	—	API reference of cirq_google.cloud.quantum.CreateQuantumReservationRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/DeleteQuantumJobRequest	open	—	API reference of cirq_google.cloud.quantum.DeleteQuantumJobRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/DeleteQuantumProgramRequest	open	—	API reference of cirq_google.cloud.quantum.DeleteQuantumProgramRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/DeleteQuantumReservationRequest	open	—	API reference of cirq_google.cloud.quantum.DeleteQuantumReservationRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/DeviceConfigKey	open	—	API reference of cirq_google.cloud.quantum.DeviceConfigKey, not implemented here
page:reference/python/cirq_google/cloud/quantum/DeviceConfigSelector	open	—	API reference of cirq_google.cloud.quantum.DeviceConfigSelector, not implemented here
page:reference/python/cirq_google/cloud/quantum/ExecutionStatus	open	—	API reference of cirq_google.cloud.quantum.ExecutionStatus, not implemented here
page:reference/python/cirq_google/cloud/quantum/ExecutionStatus/Failure	open	—	API reference of cirq_google.cloud.quantum.ExecutionStatus.Failure, not implemented here
page:reference/python/cirq_google/cloud/quantum/ExecutionStatus/Failure/Code	open	—	API reference of cirq_google.cloud.quantum.ExecutionStatus.Failure.Code, not implemented here
page:reference/python/cirq_google/cloud/quantum/ExecutionStatus/State	open	—	API reference of cirq_google.cloud.quantum.ExecutionStatus.State, not implemented here
page:reference/python/cirq_google/cloud/quantum/ExecutionStatus/Timing	open	—	API reference of cirq_google.cloud.quantum.ExecutionStatus.Timing, not implemented here
page:reference/python/cirq_google/cloud/quantum/GcsLocation	open	—	API reference of cirq_google.cloud.quantum.GcsLocation, not implemented here
page:reference/python/cirq_google/cloud/quantum/GetQuantumCalibrationRequest	open	—	API reference of cirq_google.cloud.quantum.GetQuantumCalibrationRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/GetQuantumJobRequest	open	—	API reference of cirq_google.cloud.quantum.GetQuantumJobRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/GetQuantumProcessorConfigRequest	open	—	API reference of cirq_google.cloud.quantum.GetQuantumProcessorConfigRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/GetQuantumProcessorRequest	open	—	API reference of cirq_google.cloud.quantum.GetQuantumProcessorRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/GetQuantumProgramRequest	open	—	API reference of cirq_google.cloud.quantum.GetQuantumProgramRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/GetQuantumReservationRequest	open	—	API reference of cirq_google.cloud.quantum.GetQuantumReservationRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/GetQuantumResultRequest	open	—	API reference of cirq_google.cloud.quantum.GetQuantumResultRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/InlineData	open	—	API reference of cirq_google.cloud.quantum.InlineData, not implemented here
page:reference/python/cirq_google/cloud/quantum/ListQuantumCalibrationsRequest	open	—	API reference of cirq_google.cloud.quantum.ListQuantumCalibrationsRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/ListQuantumCalibrationsRequest/QuantumCalibrationView	open	—	API reference of cirq_google.cloud.quantum.ListQuantumCalibrationsRequest.QuantumCalibrationView, not implemented here
page:reference/python/cirq_google/cloud/quantum/ListQuantumCalibrationsResponse	open	—	API reference of cirq_google.cloud.quantum.ListQuantumCalibrationsResponse, not implemented here
page:reference/python/cirq_google/cloud/quantum/ListQuantumJobEventsRequest	open	—	API reference of cirq_google.cloud.quantum.ListQuantumJobEventsRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/ListQuantumJobEventsResponse	open	—	API reference of cirq_google.cloud.quantum.ListQuantumJobEventsResponse, not implemented here
page:reference/python/cirq_google/cloud/quantum/ListQuantumJobsRequest	open	—	API reference of cirq_google.cloud.quantum.ListQuantumJobsRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/ListQuantumJobsResponse	open	—	API reference of cirq_google.cloud.quantum.ListQuantumJobsResponse, not implemented here
page:reference/python/cirq_google/cloud/quantum/ListQuantumProcessorAutomationRunHistoryRequest	open	—	API reference of cirq_google.cloud.quantum.ListQuantumProcessorAutomationRunHistoryRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/ListQuantumProcessorAutomationRunHistoryResponse	open	—	API reference of cirq_google.cloud.quantum.ListQuantumProcessorAutomationRunHistoryResponse, not implemented here
page:reference/python/cirq_google/cloud/quantum/ListQuantumProcessorConfigsRequest	open	—	API reference of cirq_google.cloud.quantum.ListQuantumProcessorConfigsRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/ListQuantumProcessorConfigsResponse	open	—	API reference of cirq_google.cloud.quantum.ListQuantumProcessorConfigsResponse, not implemented here
page:reference/python/cirq_google/cloud/quantum/ListQuantumProcessorsRequest	open	—	API reference of cirq_google.cloud.quantum.ListQuantumProcessorsRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/ListQuantumProcessorsResponse	open	—	API reference of cirq_google.cloud.quantum.ListQuantumProcessorsResponse, not implemented here
page:reference/python/cirq_google/cloud/quantum/ListQuantumProgramsRequest	open	—	API reference of cirq_google.cloud.quantum.ListQuantumProgramsRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/ListQuantumProgramsResponse	open	—	API reference of cirq_google.cloud.quantum.ListQuantumProgramsResponse, not implemented here
page:reference/python/cirq_google/cloud/quantum/ListQuantumReservationBudgetsRequest	open	—	API reference of cirq_google.cloud.quantum.ListQuantumReservationBudgetsRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/ListQuantumReservationBudgetsResponse	open	—	API reference of cirq_google.cloud.quantum.ListQuantumReservationBudgetsResponse, not implemented here
page:reference/python/cirq_google/cloud/quantum/ListQuantumReservationGrantsRequest	open	—	API reference of cirq_google.cloud.quantum.ListQuantumReservationGrantsRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/ListQuantumReservationGrantsResponse	open	—	API reference of cirq_google.cloud.quantum.ListQuantumReservationGrantsResponse, not implemented here
page:reference/python/cirq_google/cloud/quantum/ListQuantumReservationsRequest	open	—	API reference of cirq_google.cloud.quantum.ListQuantumReservationsRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/ListQuantumReservationsResponse	open	—	API reference of cirq_google.cloud.quantum.ListQuantumReservationsResponse, not implemented here
page:reference/python/cirq_google/cloud/quantum/ListQuantumTimeSlotsRequest	open	—	API reference of cirq_google.cloud.quantum.ListQuantumTimeSlotsRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/ListQuantumTimeSlotsResponse	open	—	API reference of cirq_google.cloud.quantum.ListQuantumTimeSlotsResponse, not implemented here
page:reference/python/cirq_google/cloud/quantum/OutputConfig	open	—	API reference of cirq_google.cloud.quantum.OutputConfig, not implemented here
page:reference/python/cirq_google/cloud/quantum/QecRecipe	open	—	API reference of cirq_google.cloud.quantum.QecRecipe, not implemented here
page:reference/python/cirq_google/cloud/quantum/QuantumCalibration	open	—	API reference of cirq_google.cloud.quantum.QuantumCalibration, not implemented here
page:reference/python/cirq_google/cloud/quantum/QuantumEngineServiceAsyncClient	open	—	API reference of cirq_google.cloud.quantum.QuantumEngineServiceAsyncClient, not implemented here
page:reference/python/cirq_google/cloud/quantum/QuantumEngineServiceClient	open	—	API reference of cirq_google.cloud.quantum.QuantumEngineServiceClient, not implemented here
page:reference/python/cirq_google/cloud/quantum/QuantumJob	open	—	API reference of cirq_google.cloud.quantum.QuantumJob, not implemented here
page:reference/python/cirq_google/cloud/quantum/QuantumJob/CalibrateCircuitAction	open	—	API reference of cirq_google.cloud.quantum.QuantumJob.CalibrateCircuitAction, not implemented here
page:reference/python/cirq_google/cloud/quantum/QuantumJob/ExecuteCircuitAction	open	—	API reference of cirq_google.cloud.quantum.QuantumJob.ExecuteCircuitAction, not implemented here
page:reference/python/cirq_google/cloud/quantum/QuantumJob/LabelsEntry	open	—	API reference of cirq_google.cloud.quantum.QuantumJob.LabelsEntry, not implemented here
page:reference/python/cirq_google/cloud/quantum/QuantumJobEvent	open	—	API reference of cirq_google.cloud.quantum.QuantumJobEvent, not implemented here
page:reference/python/cirq_google/cloud/quantum/QuantumProcessor	open	—	API reference of cirq_google.cloud.quantum.QuantumProcessor, not implemented here
page:reference/python/cirq_google/cloud/quantum/QuantumProcessor/ActivityStats	open	—	API reference of cirq_google.cloud.quantum.QuantumProcessor.ActivityStats, not implemented here
page:reference/python/cirq_google/cloud/quantum/QuantumProcessor/Health	open	—	API reference of cirq_google.cloud.quantum.QuantumProcessor.Health, not implemented here
page:reference/python/cirq_google/cloud/quantum/QuantumProcessorAutomationRunHistory	open	—	API reference of cirq_google.cloud.quantum.QuantumProcessorAutomationRunHistory, not implemented here
page:reference/python/cirq_google/cloud/quantum/QuantumProcessorConfig	open	—	API reference of cirq_google.cloud.quantum.QuantumProcessorConfig, not implemented here
page:reference/python/cirq_google/cloud/quantum/QuantumProgram	open	—	API reference of cirq_google.cloud.quantum.QuantumProgram, not implemented here
page:reference/python/cirq_google/cloud/quantum/QuantumProgram/LabelsEntry	open	—	API reference of cirq_google.cloud.quantum.QuantumProgram.LabelsEntry, not implemented here
page:reference/python/cirq_google/cloud/quantum/QuantumReservation	open	—	API reference of cirq_google.cloud.quantum.QuantumReservation, not implemented here
page:reference/python/cirq_google/cloud/quantum/QuantumReservationBudget	open	—	API reference of cirq_google.cloud.quantum.QuantumReservationBudget, not implemented here
page:reference/python/cirq_google/cloud/quantum/QuantumReservationGrant	open	—	API reference of cirq_google.cloud.quantum.QuantumReservationGrant, not implemented here
page:reference/python/cirq_google/cloud/quantum/QuantumReservationGrant/Budget	open	—	API reference of cirq_google.cloud.quantum.QuantumReservationGrant.Budget, not implemented here
page:reference/python/cirq_google/cloud/quantum/QuantumResult	open	—	API reference of cirq_google.cloud.quantum.QuantumResult, not implemented here
page:reference/python/cirq_google/cloud/quantum/QuantumRunStreamRequest	open	—	API reference of cirq_google.cloud.quantum.QuantumRunStreamRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/QuantumRunStreamResponse	open	—	API reference of cirq_google.cloud.quantum.QuantumRunStreamResponse, not implemented here
page:reference/python/cirq_google/cloud/quantum/QuantumTimeSlot	open	—	API reference of cirq_google.cloud.quantum.QuantumTimeSlot, not implemented here
page:reference/python/cirq_google/cloud/quantum/QuantumTimeSlot/MaintenanceConfig	open	—	API reference of cirq_google.cloud.quantum.QuantumTimeSlot.MaintenanceConfig, not implemented here
page:reference/python/cirq_google/cloud/quantum/QuantumTimeSlot/ReservationConfig	open	—	API reference of cirq_google.cloud.quantum.QuantumTimeSlot.ReservationConfig, not implemented here
page:reference/python/cirq_google/cloud/quantum/QuantumTimeSlot/TimeSlotType	open	—	API reference of cirq_google.cloud.quantum.QuantumTimeSlot.TimeSlotType, not implemented here
page:reference/python/cirq_google/cloud/quantum/ReallocateQuantumReservationGrantRequest	open	—	API reference of cirq_google.cloud.quantum.ReallocateQuantumReservationGrantRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/SchedulingConfig	open	—	API reference of cirq_google.cloud.quantum.SchedulingConfig, not implemented here
page:reference/python/cirq_google/cloud/quantum/SchedulingConfig/ProcessorSelector	open	—	API reference of cirq_google.cloud.quantum.SchedulingConfig.ProcessorSelector, not implemented here
page:reference/python/cirq_google/cloud/quantum/StreamError	open	—	API reference of cirq_google.cloud.quantum.StreamError, not implemented here
page:reference/python/cirq_google/cloud/quantum/StreamError/Code	open	—	API reference of cirq_google.cloud.quantum.StreamError.Code, not implemented here
page:reference/python/cirq_google/cloud/quantum/UpdateQuantumJobRequest	open	—	API reference of cirq_google.cloud.quantum.UpdateQuantumJobRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/UpdateQuantumProgramRequest	open	—	API reference of cirq_google.cloud.quantum.UpdateQuantumProgramRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum/UpdateQuantumReservationRequest	open	—	API reference of cirq_google.cloud.quantum.UpdateQuantumReservationRequest, not implemented here
page:reference/python/cirq_google/cloud/quantum_v1alpha1	open	—	API reference of cirq_google.cloud.quantum_v1alpha1, not implemented here
page:reference/python/cirq_google/devices	open	—	API reference of cirq_google.devices, not implemented here
page:reference/python/cirq_google/devices/GoogleNoiseProperties	open	—	API reference of cirq_google.devices.GoogleNoiseProperties, not implemented here
page:reference/python/cirq_google/devices/GridDevice	open	—	API reference of cirq_google.devices.GridDevice, not implemented here
page:reference/python/cirq_google/devices/NoiseModelFromGoogleNoiseProperties	open	—	API reference of cirq_google.devices.NoiseModelFromGoogleNoiseProperties, not implemented here
page:reference/python/cirq_google/devices/google_noise_properties	open	—	API reference of cirq_google.devices.google_noise_properties, not implemented here
page:reference/python/cirq_google/devices/grid_device	open	—	API reference of cirq_google.devices.grid_device, not implemented here
page:reference/python/cirq_google/devices/known_devices	served	processor	API reference of cirq_google.devices.known_devices; the device is built here from the same grid
page:reference/python/cirq_google/devices/known_devices/populate_qubit_pairs_in_device_proto	open	—	API reference of cirq_google.devices.known_devices.populate_qubit_pairs_in_device_proto, not implemented here
page:reference/python/cirq_google/devices/known_devices/populate_qubits_in_device_proto	open	—	API reference of cirq_google.devices.known_devices.populate_qubits_in_device_proto, not implemented here
page:reference/python/cirq_google/engine	open	—	API reference of cirq_google.engine, not implemented here
page:reference/python/cirq_google/engine/AbstractEngine	open	—	API reference of cirq_google.engine.AbstractEngine, not implemented here
page:reference/python/cirq_google/engine/AbstractJob	open	—	API reference of cirq_google.engine.AbstractJob, not implemented here
page:reference/python/cirq_google/engine/AbstractLocalEngine	open	—	API reference of cirq_google.engine.AbstractLocalEngine, not implemented here
page:reference/python/cirq_google/engine/AbstractLocalJob	open	—	API reference of cirq_google.engine.AbstractLocalJob, not implemented here
page:reference/python/cirq_google/engine/AbstractLocalProcessor	open	—	API reference of cirq_google.engine.AbstractLocalProcessor, not implemented here
page:reference/python/cirq_google/engine/AbstractLocalProgram	open	—	API reference of cirq_google.engine.AbstractLocalProgram, not implemented here
page:reference/python/cirq_google/engine/AbstractProcessor	open	—	API reference of cirq_google.engine.AbstractProcessor, not implemented here
page:reference/python/cirq_google/engine/AbstractProgram	open	—	API reference of cirq_google.engine.AbstractProgram, not implemented here
page:reference/python/cirq_google/engine/Calibration	open	—	API reference of cirq_google.engine.Calibration, not implemented here
page:reference/python/cirq_google/engine/CalibrationLayer	open	—	API reference of cirq_google.engine.CalibrationLayer, not implemented here
page:reference/python/cirq_google/engine/Engine	open	—	API reference of cirq_google.engine.Engine, not implemented here
page:reference/python/cirq_google/engine/EngineException	open	—	API reference of cirq_google.engine.EngineException, not implemented here
page:reference/python/cirq_google/engine/EngineJob	open	—	API reference of cirq_google.engine.EngineJob, not implemented here
page:reference/python/cirq_google/engine/EngineProcessor	open	—	API reference of cirq_google.engine.EngineProcessor, not implemented here
page:reference/python/cirq_google/engine/EngineProgram	open	—	API reference of cirq_google.engine.EngineProgram, not implemented here
page:reference/python/cirq_google/engine/EngineResult	open	—	API reference of cirq_google.engine.EngineResult, not implemented here
page:reference/python/cirq_google/engine/ProcessorConfig	open	—	API reference of cirq_google.engine.ProcessorConfig, not implemented here
page:reference/python/cirq_google/engine/ProcessorSampler	open	—	API reference of cirq_google.engine.ProcessorSampler, not implemented here
page:reference/python/cirq_google/engine/ProtoVersion	open	—	API reference of cirq_google.engine.ProtoVersion, not implemented here
page:reference/python/cirq_google/engine/Run	open	—	API reference of cirq_google.engine.Run, not implemented here
page:reference/python/cirq_google/engine/SimulatedLocalEngine	open	—	API reference of cirq_google.engine.SimulatedLocalEngine, not implemented here
page:reference/python/cirq_google/engine/SimulatedLocalJob	open	—	API reference of cirq_google.engine.SimulatedLocalJob, not implemented here
page:reference/python/cirq_google/engine/SimulatedLocalProcessor	open	—	API reference of cirq_google.engine.SimulatedLocalProcessor, not implemented here
page:reference/python/cirq_google/engine/SimulatedLocalProgram	open	—	API reference of cirq_google.engine.SimulatedLocalProgram, not implemented here
page:reference/python/cirq_google/engine/Snapshot	open	—	API reference of cirq_google.engine.Snapshot, not implemented here
page:reference/python/cirq_google/engine/ValidatingSampler	open	—	API reference of cirq_google.engine.ValidatingSampler, not implemented here
page:reference/python/cirq_google/engine/abstract_engine	open	—	API reference of cirq_google.engine.abstract_engine, not implemented here
page:reference/python/cirq_google/engine/abstract_job	open	—	API reference of cirq_google.engine.abstract_job, not implemented here
page:reference/python/cirq_google/engine/abstract_local_engine	open	—	API reference of cirq_google.engine.abstract_local_engine, not implemented here
page:reference/python/cirq_google/engine/abstract_local_job	open	—	API reference of cirq_google.engine.abstract_local_job, not implemented here
page:reference/python/cirq_google/engine/abstract_local_processor	open	—	API reference of cirq_google.engine.abstract_local_processor, not implemented here
page:reference/python/cirq_google/engine/abstract_local_program	open	—	API reference of cirq_google.engine.abstract_local_program, not implemented here
page:reference/python/cirq_google/engine/abstract_processor	open	—	API reference of cirq_google.engine.abstract_processor, not implemented here
page:reference/python/cirq_google/engine/abstract_program	open	—	API reference of cirq_google.engine.abstract_program, not implemented here
page:reference/python/cirq_google/engine/asyncio_executor	open	—	API reference of cirq_google.engine.asyncio_executor, not implemented here
page:reference/python/cirq_google/engine/asyncio_executor/AsyncioExecutor	open	—	API reference of cirq_google.engine.asyncio_executor.AsyncioExecutor, not implemented here
page:reference/python/cirq_google/engine/calibration	open	—	API reference of cirq_google.engine.calibration, not implemented here
page:reference/python/cirq_google/engine/calibration/ALL_METRICS	open	—	API reference of cirq_google.engine.calibration.ALL_METRICS, not implemented here
page:reference/python/cirq_google/engine/calibration/METRIC_DICT	open	—	API reference of cirq_google.engine.calibration.METRIC_DICT, not implemented here
page:reference/python/cirq_google/engine/calibration/METRIC_KEY	open	—	API reference of cirq_google.engine.calibration.METRIC_KEY, not implemented here
page:reference/python/cirq_google/engine/calibration/METRIC_VALUE	open	—	API reference of cirq_google.engine.calibration.METRIC_VALUE, not implemented here
page:reference/python/cirq_google/engine/calibration_layer	open	—	API reference of cirq_google.engine.calibration_layer, not implemented here
page:reference/python/cirq_google/engine/calibration_to_noise_properties	open	—	API reference of cirq_google.engine.calibration_to_noise_properties, not implemented here
page:reference/python/cirq_google/engine/create_default_noisy_quantum_virtual_machine	open	—	API reference of cirq_google.engine.create_default_noisy_quantum_virtual_machine, not implemented here
page:reference/python/cirq_google/engine/create_device_from_processor_id	open	—	API reference of cirq_google.engine.create_device_from_processor_id, not implemented here
page:reference/python/cirq_google/engine/create_noiseless_virtual_engine_from_device	open	—	API reference of cirq_google.engine.create_noiseless_virtual_engine_from_device, not implemented here
page:reference/python/cirq_google/engine/create_noiseless_virtual_engine_from_latest_templates	open	—	API reference of cirq_google.engine.create_noiseless_virtual_engine_from_latest_templates, not implemented here
page:reference/python/cirq_google/engine/create_noiseless_virtual_engine_from_proto	open	—	API reference of cirq_google.engine.create_noiseless_virtual_engine_from_proto, not implemented here
page:reference/python/cirq_google/engine/create_noiseless_virtual_engine_from_templates	open	—	API reference of cirq_google.engine.create_noiseless_virtual_engine_from_templates, not implemented here
page:reference/python/cirq_google/engine/engine	open	—	API reference of cirq_google.engine.engine, not implemented here
page:reference/python/cirq_google/engine/engine/EngineContext	open	—	API reference of cirq_google.engine.engine.EngineContext, not implemented here
page:reference/python/cirq_google/engine/engine_client	open	—	API reference of cirq_google.engine.engine_client, not implemented here
page:reference/python/cirq_google/engine/engine_client/EngineClient	open	—	API reference of cirq_google.engine.engine_client.EngineClient, not implemented here
page:reference/python/cirq_google/engine/engine_job	open	—	API reference of cirq_google.engine.engine_job, not implemented here
page:reference/python/cirq_google/engine/engine_processor	open	—	API reference of cirq_google.engine.engine_processor, not implemented here
page:reference/python/cirq_google/engine/engine_program	open	—	API reference of cirq_google.engine.engine_program, not implemented here
page:reference/python/cirq_google/engine/engine_result	open	—	API reference of cirq_google.engine.engine_result, not implemented here
page:reference/python/cirq_google/engine/engine_validator	open	—	API reference of cirq_google.engine.engine_validator, not implemented here
page:reference/python/cirq_google/engine/engine_validator/PROGRAM_VALIDATOR_TYPE	open	—	API reference of cirq_google.engine.engine_validator.PROGRAM_VALIDATOR_TYPE, not implemented here
page:reference/python/cirq_google/engine/engine_validator/create_engine_validator	open	—	API reference of cirq_google.engine.engine_validator.create_engine_validator, not implemented here
page:reference/python/cirq_google/engine/engine_validator/create_program_validator	open	—	API reference of cirq_google.engine.engine_validator.create_program_validator, not implemented here
page:reference/python/cirq_google/engine/engine_validator/validate_for_engine	open	—	API reference of cirq_google.engine.engine_validator.validate_for_engine, not implemented here
page:reference/python/cirq_google/engine/engine_validator/validate_program	open	—	API reference of cirq_google.engine.engine_validator.validate_program, not implemented here
page:reference/python/cirq_google/engine/estimate_run_batch_time	open	—	API reference of cirq_google.engine.estimate_run_batch_time, not implemented here
page:reference/python/cirq_google/engine/estimate_run_sweep_time	open	—	API reference of cirq_google.engine.estimate_run_sweep_time, not implemented here
page:reference/python/cirq_google/engine/estimate_run_time	open	—	API reference of cirq_google.engine.estimate_run_time, not implemented here
page:reference/python/cirq_google/engine/get_engine	open	—	API reference of cirq_google.engine.get_engine, not implemented here
page:reference/python/cirq_google/engine/get_engine_calibration	open	—	API reference of cirq_google.engine.get_engine_calibration, not implemented here
page:reference/python/cirq_google/engine/get_engine_device	open	—	API reference of cirq_google.engine.get_engine_device, not implemented here
page:reference/python/cirq_google/engine/get_engine_sampler	open	—	API reference of cirq_google.engine.get_engine_sampler, not implemented here
page:reference/python/cirq_google/engine/list_virtual_processors	open	—	API reference of cirq_google.engine.list_virtual_processors, not implemented here
page:reference/python/cirq_google/engine/load_device_noise_properties	open	—	API reference of cirq_google.engine.load_device_noise_properties, not implemented here
page:reference/python/cirq_google/engine/load_median_device_calibration	open	—	API reference of cirq_google.engine.load_median_device_calibration, not implemented here
page:reference/python/cirq_google/engine/load_sample_device_zphase	open	—	API reference of cirq_google.engine.load_sample_device_zphase, not implemented here
page:reference/python/cirq_google/engine/local_simulation_type	open	—	API reference of cirq_google.engine.local_simulation_type, not implemented here
page:reference/python/cirq_google/engine/local_simulation_type/LocalSimulationType	open	—	API reference of cirq_google.engine.local_simulation_type.LocalSimulationType, not implemented here
page:reference/python/cirq_google/engine/noise_properties_from_calibration	open	—	API reference of cirq_google.engine.noise_properties_from_calibration, not implemented here
page:reference/python/cirq_google/engine/processor_config	open	—	API reference of cirq_google.engine.processor_config, not implemented here
page:reference/python/cirq_google/engine/processor_config/validate_device_config_revision	open	—	API reference of cirq_google.engine.processor_config.validate_device_config_revision, not implemented here
page:reference/python/cirq_google/engine/processor_sampler	open	—	API reference of cirq_google.engine.processor_sampler, not implemented here
page:reference/python/cirq_google/engine/runtime_estimator	open	—	API reference of cirq_google.engine.runtime_estimator, not implemented here
page:reference/python/cirq_google/engine/simulated_local_engine	open	—	API reference of cirq_google.engine.simulated_local_engine, not implemented here
page:reference/python/cirq_google/engine/simulated_local_job	open	—	API reference of cirq_google.engine.simulated_local_job, not implemented here
page:reference/python/cirq_google/engine/simulated_local_processor	open	—	API reference of cirq_google.engine.simulated_local_processor, not implemented here
page:reference/python/cirq_google/engine/simulated_local_program	open	—	API reference of cirq_google.engine.simulated_local_program, not implemented here
page:reference/python/cirq_google/engine/stream_manager	open	—	API reference of cirq_google.engine.stream_manager, not implemented here
page:reference/python/cirq_google/engine/stream_manager/ResponseDemux	open	—	API reference of cirq_google.engine.stream_manager.ResponseDemux, not implemented here
page:reference/python/cirq_google/engine/stream_manager/StreamError	open	—	API reference of cirq_google.engine.stream_manager.StreamError, not implemented here
page:reference/python/cirq_google/engine/stream_manager/StreamManager	open	—	API reference of cirq_google.engine.stream_manager.StreamManager, not implemented here
page:reference/python/cirq_google/engine/util	open	—	API reference of cirq_google.engine.util, not implemented here
page:reference/python/cirq_google/engine/util/ZPhaseDataType	open	—	API reference of cirq_google.engine.util.ZPhaseDataType, not implemented here
page:reference/python/cirq_google/engine/util/pack_any	open	—	API reference of cirq_google.engine.util.pack_any, not implemented here
page:reference/python/cirq_google/engine/util/unpack_any	open	—	API reference of cirq_google.engine.util.unpack_any, not implemented here
page:reference/python/cirq_google/engine/validating_sampler	open	—	API reference of cirq_google.engine.validating_sampler, not implemented here
page:reference/python/cirq_google/engine/validating_sampler/VALIDATOR_TYPE	open	—	API reference of cirq_google.engine.validating_sampler.VALIDATOR_TYPE, not implemented here
page:reference/python/cirq_google/engine/virtual_engine_factory	open	—	API reference of cirq_google.engine.virtual_engine_factory, not implemented here
page:reference/python/cirq_google/engine/virtual_engine_factory/create_device_spec_from_processor_id	open	—	API reference of cirq_google.engine.virtual_engine_factory.create_device_spec_from_processor_id, not implemented here
page:reference/python/cirq_google/engine/virtual_engine_factory/create_noiseless_virtual_processor_from_proto	open	—	API reference of cirq_google.engine.virtual_engine_factory.create_noiseless_virtual_processor_from_proto, not implemented here
page:reference/python/cirq_google/engine/virtual_engine_factory/create_noiseless_virtual_processor_from_template	open	—	API reference of cirq_google.engine.virtual_engine_factory.create_noiseless_virtual_processor_from_template, not implemented here
page:reference/python/cirq_google/engine/virtual_engine_factory/extract_gate_times_ns_from_device	open	—	API reference of cirq_google.engine.virtual_engine_factory.extract_gate_times_ns_from_device, not implemented here
page:reference/python/cirq_google/experimental	open	—	API reference of cirq_google.experimental, not implemented here
page:reference/python/cirq_google/experimental/CouplerPulse	open	—	API reference of cirq_google.experimental.CouplerPulse, not implemented here
page:reference/python/cirq_google/experimental/PerQubitDepolarizingWithDampedReadoutNoiseModel	open	—	API reference of cirq_google.experimental.PerQubitDepolarizingWithDampedReadoutNoiseModel, not implemented here
page:reference/python/cirq_google/experimental/noise_models	open	—	API reference of cirq_google.experimental.noise_models, not implemented here
page:reference/python/cirq_google/experimental/noise_models/noise_models	open	—	API reference of cirq_google.experimental.noise_models.noise_models, not implemented here
page:reference/python/cirq_google/experimental/noise_models/noise_models/exp	open	—	API reference of cirq_google.experimental.noise_models.noise_models.exp, not implemented here
page:reference/python/cirq_google/experimental/ops	open	—	API reference of cirq_google.experimental.ops, not implemented here
page:reference/python/cirq_google/experimental/ops/coupler_pulse	open	—	API reference of cirq_google.experimental.ops.coupler_pulse, not implemented here
page:reference/python/cirq_google/experimental/simple_noise_from_calibration_metrics	open	—	API reference of cirq_google.experimental.simple_noise_from_calibration_metrics, not implemented here
page:reference/python/cirq_google/json_resolver_cache	open	—	API reference of cirq_google.json_resolver_cache, not implemented here
page:reference/python/cirq_google/line	open	—	API reference of cirq_google.line, not implemented here
page:reference/python/cirq_google/line/AnnealSequenceSearchStrategy	open	—	API reference of cirq_google.line.AnnealSequenceSearchStrategy, not implemented here
page:reference/python/cirq_google/line/GreedySequenceSearchStrategy	open	—	API reference of cirq_google.line.GreedySequenceSearchStrategy, not implemented here
page:reference/python/cirq_google/line/LinePlacementStrategy	open	—	API reference of cirq_google.line.LinePlacementStrategy, not implemented here
page:reference/python/cirq_google/line/line_on_device	open	—	API reference of cirq_google.line.line_on_device, not implemented here
page:reference/python/cirq_google/line/placement	open	—	API reference of cirq_google.line.placement, not implemented here
page:reference/python/cirq_google/line/placement/GridQubitLineTuple	open	—	API reference of cirq_google.line.placement.GridQubitLineTuple, not implemented here
page:reference/python/cirq_google/line/placement/anneal	open	—	API reference of cirq_google.line.placement.anneal, not implemented here
page:reference/python/cirq_google/line/placement/anneal/AnnealSequenceSearch	open	—	API reference of cirq_google.line.placement.anneal.AnnealSequenceSearch, not implemented here
page:reference/python/cirq_google/line/placement/anneal/EDGE	open	—	API reference of cirq_google.line.placement.anneal.EDGE, not implemented here
page:reference/python/cirq_google/line/placement/anneal/LineSequence	open	—	API reference of cirq_google.line.placement.anneal.LineSequence, not implemented here
page:reference/python/cirq_google/line/placement/anneal/index_2d	open	—	API reference of cirq_google.line.placement.anneal.index_2d, not implemented here
page:reference/python/cirq_google/line/placement/anneal_minimize	open	—	API reference of cirq_google.line.placement.anneal_minimize, not implemented here
page:reference/python/cirq_google/line/placement/chip	open	—	API reference of cirq_google.line.placement.chip, not implemented here
page:reference/python/cirq_google/line/placement/chip/above	open	—	API reference of cirq_google.line.placement.chip.above, not implemented here
page:reference/python/cirq_google/line/placement/chip/below	open	—	API reference of cirq_google.line.placement.chip.below, not implemented here
page:reference/python/cirq_google/line/placement/chip/chip_as_adjacency_list	open	—	API reference of cirq_google.line.placement.chip.chip_as_adjacency_list, not implemented here
page:reference/python/cirq_google/line/placement/chip/left_of	open	—	API reference of cirq_google.line.placement.chip.left_of, not implemented here
page:reference/python/cirq_google/line/placement/chip/right_of	open	—	API reference of cirq_google.line.placement.chip.right_of, not implemented here
page:reference/python/cirq_google/line/placement/greedy	open	—	API reference of cirq_google.line.placement.greedy, not implemented here
page:reference/python/cirq_google/line/placement/greedy/GreedySequenceSearch	open	—	API reference of cirq_google.line.placement.greedy.GreedySequenceSearch, not implemented here
page:reference/python/cirq_google/line/placement/line	open	—	API reference of cirq_google.line.placement.line, not implemented here
page:reference/python/cirq_google/line/placement/optimization	open	—	API reference of cirq_google.line.placement.optimization, not implemented here
page:reference/python/cirq_google/line/placement/place_strategy	open	—	API reference of cirq_google.line.placement.place_strategy, not implemented here
page:reference/python/cirq_google/line/placement/sequence	open	—	API reference of cirq_google.line.placement.sequence, not implemented here
page:reference/python/cirq_google/line/placement/sequence/NotFoundError	open	—	API reference of cirq_google.line.placement.sequence.NotFoundError, not implemented here
page:reference/python/cirq_google/ops	open	—	API reference of cirq_google.ops, not implemented here
page:reference/python/cirq_google/ops/AnalogDetuneCouplerOnly	open	—	API reference of cirq_google.ops.AnalogDetuneCouplerOnly, not implemented here
page:reference/python/cirq_google/ops/AnalogDetuneQubit	open	—	API reference of cirq_google.ops.AnalogDetuneQubit, not implemented here
page:reference/python/cirq_google/ops/CalibrationTag	open	—	API reference of cirq_google.ops.CalibrationTag, not implemented here
page:reference/python/cirq_google/ops/CompressDurationTag	open	—	API reference of cirq_google.ops.CompressDurationTag, not implemented here
page:reference/python/cirq_google/ops/Coupler	open	—	API reference of cirq_google.ops.Coupler, not implemented here
page:reference/python/cirq_google/ops/DynamicalDecouplingTag	open	—	API reference of cirq_google.ops.DynamicalDecouplingTag, not implemented here
page:reference/python/cirq_google/ops/FSimGateFamily	open	—	API reference of cirq_google.ops.FSimGateFamily, not implemented here
page:reference/python/cirq_google/ops/FSimViaModelTag	open	—	API reference of cirq_google.ops.FSimViaModelTag, not implemented here
page:reference/python/cirq_google/ops/InternalGate	open	—	API reference of cirq_google.ops.InternalGate, not implemented here
page:reference/python/cirq_google/ops/InternalTag	open	—	API reference of cirq_google.ops.InternalTag, not implemented here
page:reference/python/cirq_google/ops/LZSResetViaResonator	open	—	API reference of cirq_google.ops.LZSResetViaResonator, not implemented here
page:reference/python/cirq_google/ops/LeakageISWAP	open	—	API reference of cirq_google.ops.LeakageISWAP, not implemented here
page:reference/python/cirq_google/ops/MultiStepMultiLevelReset	open	—	API reference of cirq_google.ops.MultiStepMultiLevelReset, not implemented here
page:reference/python/cirq_google/ops/MultilevelResetViaResonator	open	—	API reference of cirq_google.ops.MultilevelResetViaResonator, not implemented here
page:reference/python/cirq_google/ops/NoSyncTag	open	—	API reference of cirq_google.ops.NoSyncTag, not implemented here
page:reference/python/cirq_google/ops/PhysicalZTag	open	—	API reference of cirq_google.ops.PhysicalZTag, not implemented here
page:reference/python/cirq_google/ops/SYC	open	—	API reference of cirq_google.ops.SYC, not implemented here
page:reference/python/cirq_google/ops/SycamoreGate	open	—	API reference of cirq_google.ops.SycamoreGate, not implemented here
page:reference/python/cirq_google/ops/TwoPulseFSimTag	open	—	API reference of cirq_google.ops.TwoPulseFSimTag, not implemented here
page:reference/python/cirq_google/ops/WILLOW	open	—	API reference of cirq_google.ops.WILLOW, not implemented here
page:reference/python/cirq_google/ops/WaitGateWithUnit	open	—	API reference of cirq_google.ops.WaitGateWithUnit, not implemented here
page:reference/python/cirq_google/ops/WillowGate	open	—	API reference of cirq_google.ops.WillowGate, not implemented here
page:reference/python/cirq_google/ops/analog_detune_gates	open	—	API reference of cirq_google.ops.analog_detune_gates, not implemented here
page:reference/python/cirq_google/ops/calibration_tag	open	—	API reference of cirq_google.ops.calibration_tag, not implemented here
page:reference/python/cirq_google/ops/compress_duration_tag	open	—	API reference of cirq_google.ops.compress_duration_tag, not implemented here
page:reference/python/cirq_google/ops/coupler	open	—	API reference of cirq_google.ops.coupler, not implemented here
page:reference/python/cirq_google/ops/dynamical_decoupling_tag	open	—	API reference of cirq_google.ops.dynamical_decoupling_tag, not implemented here
page:reference/python/cirq_google/ops/fsim_gate_family	open	—	API reference of cirq_google.ops.fsim_gate_family, not implemented here
page:reference/python/cirq_google/ops/fsim_via_model_tag	open	—	API reference of cirq_google.ops.fsim_via_model_tag, not implemented here
page:reference/python/cirq_google/ops/internal_gate	open	—	API reference of cirq_google.ops.internal_gate, not implemented here
page:reference/python/cirq_google/ops/internal_gate/function_points_to_proto	open	—	API reference of cirq_google.ops.internal_gate.function_points_to_proto, not implemented here
page:reference/python/cirq_google/ops/internal_tag	open	—	API reference of cirq_google.ops.internal_tag, not implemented here
page:reference/python/cirq_google/ops/leakage_iswap	open	—	API reference of cirq_google.ops.leakage_iswap, not implemented here
page:reference/python/cirq_google/ops/lzs_reset	open	—	API reference of cirq_google.ops.lzs_reset, not implemented here
page:reference/python/cirq_google/ops/msmlr_reset	open	—	API reference of cirq_google.ops.msmlr_reset, not implemented here
page:reference/python/cirq_google/ops/multi_level_reset	open	—	API reference of cirq_google.ops.multi_level_reset, not implemented here
page:reference/python/cirq_google/ops/no_sync_tag	open	—	API reference of cirq_google.ops.no_sync_tag, not implemented here
page:reference/python/cirq_google/ops/physical_z_tag	open	—	API reference of cirq_google.ops.physical_z_tag, not implemented here
page:reference/python/cirq_google/ops/sycamore_gate	open	—	API reference of cirq_google.ops.sycamore_gate, not implemented here
page:reference/python/cirq_google/ops/two_pulse_fsim_tag	open	—	API reference of cirq_google.ops.two_pulse_fsim_tag, not implemented here
page:reference/python/cirq_google/ops/wait_gate	open	—	API reference of cirq_google.ops.wait_gate, not implemented here
page:reference/python/cirq_google/ops/willow_gate	open	—	API reference of cirq_google.ops.willow_gate, not implemented here
page:reference/python/cirq_google/serialization	open	—	API reference of cirq_google.serialization, not implemented here
page:reference/python/cirq_google/serialization/CircuitOpDeserializer	open	—	API reference of cirq_google.serialization.CircuitOpDeserializer, not implemented here
page:reference/python/cirq_google/serialization/CircuitOpSerializer	open	—	API reference of cirq_google.serialization.CircuitOpSerializer, not implemented here
page:reference/python/cirq_google/serialization/CircuitSerializer	open	—	API reference of cirq_google.serialization.CircuitSerializer, not implemented here
page:reference/python/cirq_google/serialization/Serializer	open	—	API reference of cirq_google.serialization.Serializer, not implemented here
page:reference/python/cirq_google/serialization/arg_from_proto	open	—	API reference of cirq_google.serialization.arg_from_proto, not implemented here
page:reference/python/cirq_google/serialization/arg_func_langs	open	—	API reference of cirq_google.serialization.arg_func_langs, not implemented here
page:reference/python/cirq_google/serialization/arg_func_langs/arg_to_proto	open	—	API reference of cirq_google.serialization.arg_func_langs.arg_to_proto, not implemented here
page:reference/python/cirq_google/serialization/arg_func_langs/clifford_tableau_arg_to_proto	open	—	API reference of cirq_google.serialization.arg_func_langs.clifford_tableau_arg_to_proto, not implemented here
page:reference/python/cirq_google/serialization/arg_func_langs/clifford_tableau_from_proto	open	—	API reference of cirq_google.serialization.arg_func_langs.clifford_tableau_from_proto, not implemented here
page:reference/python/cirq_google/serialization/arg_func_langs/condition_from_proto	open	—	API reference of cirq_google.serialization.arg_func_langs.condition_from_proto, not implemented here
page:reference/python/cirq_google/serialization/arg_func_langs/condition_to_proto	open	—	API reference of cirq_google.serialization.arg_func_langs.condition_to_proto, not implemented here
page:reference/python/cirq_google/serialization/arg_func_langs/dict_from_arg_mapping_proto	open	—	API reference of cirq_google.serialization.arg_func_langs.dict_from_arg_mapping_proto, not implemented here
page:reference/python/cirq_google/serialization/arg_func_langs/dict_to_arg_mapping_proto	open	—	API reference of cirq_google.serialization.arg_func_langs.dict_to_arg_mapping_proto, not implemented here
page:reference/python/cirq_google/serialization/arg_func_langs/float_arg_from_proto	open	—	API reference of cirq_google.serialization.arg_func_langs.float_arg_from_proto, not implemented here
page:reference/python/cirq_google/serialization/arg_func_langs/float_arg_to_proto	open	—	API reference of cirq_google.serialization.arg_func_langs.float_arg_to_proto, not implemented here
page:reference/python/cirq_google/serialization/arg_func_langs/internal_gate_arg_to_proto	open	—	API reference of cirq_google.serialization.arg_func_langs.internal_gate_arg_to_proto, not implemented here
page:reference/python/cirq_google/serialization/arg_func_langs/internal_gate_from_proto	open	—	API reference of cirq_google.serialization.arg_func_langs.internal_gate_from_proto, not implemented here
page:reference/python/cirq_google/serialization/circuit_serializer	open	—	API reference of cirq_google.serialization.circuit_serializer, not implemented here
page:reference/python/cirq_google/serialization/op_deserializer	open	—	API reference of cirq_google.serialization.op_deserializer, not implemented here
page:reference/python/cirq_google/serialization/op_deserializer/OpDeserializer	open	—	API reference of cirq_google.serialization.op_deserializer.OpDeserializer, not implemented here
page:reference/python/cirq_google/serialization/op_serializer	open	—	API reference of cirq_google.serialization.op_serializer, not implemented here
page:reference/python/cirq_google/serialization/op_serializer/OpSerializer	open	—	API reference of cirq_google.serialization.op_serializer.OpSerializer, not implemented here
page:reference/python/cirq_google/serialization/serializer	open	—	API reference of cirq_google.serialization.serializer, not implemented here
page:reference/python/cirq_google/serialization/stimcirq_deserializer	open	—	API reference of cirq_google.serialization.stimcirq_deserializer, not implemented here
page:reference/python/cirq_google/serialization/stimcirq_deserializer/StimCirqDeserializer	open	—	API reference of cirq_google.serialization.stimcirq_deserializer.StimCirqDeserializer, not implemented here
page:reference/python/cirq_google/serialization/stimcirq_serializer	open	—	API reference of cirq_google.serialization.stimcirq_serializer, not implemented here
page:reference/python/cirq_google/serialization/stimcirq_serializer/StimCirqSerializer	open	—	API reference of cirq_google.serialization.stimcirq_serializer.StimCirqSerializer, not implemented here
page:reference/python/cirq_google/serialization/tag_deserializer	open	—	API reference of cirq_google.serialization.tag_deserializer, not implemented here
page:reference/python/cirq_google/serialization/tag_deserializer/TagDeserializer	open	—	API reference of cirq_google.serialization.tag_deserializer.TagDeserializer, not implemented here
page:reference/python/cirq_google/serialization/tag_serializer	open	—	API reference of cirq_google.serialization.tag_serializer, not implemented here
page:reference/python/cirq_google/serialization/tag_serializer/TagSerializer	open	—	API reference of cirq_google.serialization.tag_serializer.TagSerializer, not implemented here
page:reference/python/cirq_google/study	open	—	API reference of cirq_google.study, not implemented here
page:reference/python/cirq_google/study/DeviceParameter	open	—	API reference of cirq_google.study.DeviceParameter, not implemented here
page:reference/python/cirq_google/study/FiniteRandomVariable	open	—	API reference of cirq_google.study.FiniteRandomVariable, not implemented here
page:reference/python/cirq_google/study/Metadata	open	—	API reference of cirq_google.study.Metadata, not implemented here
page:reference/python/cirq_google/study/device_parameter	open	—	API reference of cirq_google.study.device_parameter, not implemented here
page:reference/python/cirq_google/study/device_parameter/SupportsDeviceParameter	open	—	API reference of cirq_google.study.device_parameter.SupportsDeviceParameter, not implemented here
page:reference/python/cirq_google/study/finite_random_variable	open	—	API reference of cirq_google.study.finite_random_variable, not implemented here
page:reference/python/cirq_google/study/symbol_util	open	—	API reference of cirq_google.study.symbol_util, not implemented here
page:reference/python/cirq_google/study/symbol_util/dict_param_name	open	—	API reference of cirq_google.study.symbol_util.dict_param_name, not implemented here
page:reference/python/cirq_google/study/symbol_util/direct_symbol_replacement	open	—	API reference of cirq_google.study.symbol_util.direct_symbol_replacement, not implemented here
page:reference/python/cirq_google/study/symbol_util/is_parameterized_dict	open	—	API reference of cirq_google.study.symbol_util.is_parameterized_dict, not implemented here
page:reference/python/cirq_google/transformers	open	—	API reference of cirq_google.transformers, not implemented here
page:reference/python/cirq_google/transformers/GoogleCZTargetGateset	open	—	API reference of cirq_google.transformers.GoogleCZTargetGateset, not implemented here
page:reference/python/cirq_google/transformers/SYCGaugeTransformer	open	—	API reference of cirq_google.transformers.SYCGaugeTransformer, not implemented here
page:reference/python/cirq_google/transformers/SycamoreTargetGateset	open	—	API reference of cirq_google.transformers.SycamoreTargetGateset, not implemented here
page:reference/python/cirq_google/transformers/analytical_decompositions	open	—	API reference of cirq_google.transformers.analytical_decompositions, not implemented here
page:reference/python/cirq_google/transformers/analytical_decompositions/two_qubit_to_sycamore	open	—	API reference of cirq_google.transformers.analytical_decompositions.two_qubit_to_sycamore, not implemented here
page:reference/python/cirq_google/transformers/known_2q_op_to_sycamore_operations	open	—	API reference of cirq_google.transformers.known_2q_op_to_sycamore_operations, not implemented here
page:reference/python/cirq_google/transformers/sycamore_gauge	open	—	API reference of cirq_google.transformers.sycamore_gauge, not implemented here
page:reference/python/cirq_google/transformers/sycamore_gauge/SYCGaugeSelector	open	—	API reference of cirq_google.transformers.sycamore_gauge.SYCGaugeSelector, not implemented here
page:reference/python/cirq_google/transformers/target_gatesets	open	—	API reference of cirq_google.transformers.target_gatesets, not implemented here
page:reference/python/cirq_google/transformers/target_gatesets/google_cz_gateset	open	—	API reference of cirq_google.transformers.target_gatesets.google_cz_gateset, not implemented here
page:reference/python/cirq_google/transformers/target_gatesets/sycamore_gateset	open	—	API reference of cirq_google.transformers.target_gatesets.sycamore_gateset, not implemented here
page:reference/python/cirq_google/transformers/target_gatesets/sycamore_gateset/merge_swap_rzz_and_2q_unitaries	open	—	API reference of cirq_google.transformers.target_gatesets.sycamore_gateset.merge_swap_rzz_and_2q_unitaries, not implemented here
page:reference/python/cirq_google/transformers/two_qubit_matrix_to_sycamore_operations	open	—	API reference of cirq_google.transformers.two_qubit_matrix_to_sycamore_operations, not implemented here
page:reference/python/cirq_google/workflow	open	—	API reference of cirq_google.workflow, not implemented here
page:reference/python/cirq_google/workflow/BitstringsMeasurement	open	—	API reference of cirq_google.workflow.BitstringsMeasurement, not implemented here
page:reference/python/cirq_google/workflow/CouldNotPlaceError	open	—	API reference of cirq_google.workflow.CouldNotPlaceError, not implemented here
page:reference/python/cirq_google/workflow/EngineProcessorRecord	open	—	API reference of cirq_google.workflow.EngineProcessorRecord, not implemented here
page:reference/python/cirq_google/workflow/ExecutableGroupResult	open	—	API reference of cirq_google.workflow.ExecutableGroupResult, not implemented here
page:reference/python/cirq_google/workflow/ExecutableGroupResultFilesystemRecord	open	—	API reference of cirq_google.workflow.ExecutableGroupResultFilesystemRecord, not implemented here
page:reference/python/cirq_google/workflow/ExecutableResult	open	—	API reference of cirq_google.workflow.ExecutableResult, not implemented here
page:reference/python/cirq_google/workflow/ExecutableSpec	open	—	API reference of cirq_google.workflow.ExecutableSpec, not implemented here
page:reference/python/cirq_google/workflow/HardcodedQubitPlacer	open	—	API reference of cirq_google.workflow.HardcodedQubitPlacer, not implemented here
page:reference/python/cirq_google/workflow/KeyValueExecutableSpec	open	—	API reference of cirq_google.workflow.KeyValueExecutableSpec, not implemented here
page:reference/python/cirq_google/workflow/NaiveQubitPlacer	open	—	API reference of cirq_google.workflow.NaiveQubitPlacer, not implemented here
page:reference/python/cirq_google/workflow/ProcessorRecord	open	—	API reference of cirq_google.workflow.ProcessorRecord, not implemented here
page:reference/python/cirq_google/workflow/QuantumExecutable	open	—	API reference of cirq_google.workflow.QuantumExecutable, not implemented here
page:reference/python/cirq_google/workflow/QuantumExecutableGroup	open	—	API reference of cirq_google.workflow.QuantumExecutableGroup, not implemented here
page:reference/python/cirq_google/workflow/QuantumRuntimeConfiguration	open	—	API reference of cirq_google.workflow.QuantumRuntimeConfiguration, not implemented here
page:reference/python/cirq_google/workflow/QubitPlacer	open	—	API reference of cirq_google.workflow.QubitPlacer, not implemented here
page:reference/python/cirq_google/workflow/RandomDevicePlacer	open	—	API reference of cirq_google.workflow.RandomDevicePlacer, not implemented here
page:reference/python/cirq_google/workflow/RuntimeInfo	open	—	API reference of cirq_google.workflow.RuntimeInfo, not implemented here
page:reference/python/cirq_google/workflow/SharedRuntimeInfo	open	—	API reference of cirq_google.workflow.SharedRuntimeInfo, not implemented here
page:reference/python/cirq_google/workflow/SimulatedProcessorRecord	open	—	API reference of cirq_google.workflow.SimulatedProcessorRecord, not implemented here
page:reference/python/cirq_google/workflow/SimulatedProcessorWithLocalDeviceRecord	open	—	API reference of cirq_google.workflow.SimulatedProcessorWithLocalDeviceRecord, not implemented here
page:reference/python/cirq_google/workflow/execute	open	—	API reference of cirq_google.workflow.execute, not implemented here
page:reference/python/cirq_google/workflow/io	open	—	API reference of cirq_google.workflow.io, not implemented here
page:reference/python/cirq_google/workflow/processor_record	open	—	API reference of cirq_google.workflow.processor_record, not implemented here
page:reference/python/cirq_google/workflow/progress	open	—	API reference of cirq_google.workflow.progress, not implemented here
page:reference/python/cirq_google/workflow/quantum_executable	open	—	API reference of cirq_google.workflow.quantum_executable, not implemented here
page:reference/python/cirq_google/workflow/quantum_executable/TParamPair	open	—	API reference of cirq_google.workflow.quantum_executable.TParamPair, not implemented here
page:reference/python/cirq_google/workflow/quantum_runtime	open	—	API reference of cirq_google.workflow.quantum_runtime, not implemented here
page:reference/python/cirq_google/workflow/qubit_placement	open	—	API reference of cirq_google.workflow.qubit_placement, not implemented here
page:reference/python/cirq_google/workflow/qubit_placement/default_topo_node_to_qubit	open	—	API reference of cirq_google.workflow.qubit_placement.default_topo_node_to_qubit, not implemented here
page:reference/python/cirq_ionq	open	—	the page reference/python/cirq_ionq
page:reference/python/cirq_ionq/all_symbols	out_of_scope	—	API reference of cirq_ionq.all_symbols
page:reference/python/cirq_ionq/calibration	out_of_scope	—	API reference of cirq_ionq.calibration
page:reference/python/cirq_ionq/calibration/Calibration	out_of_scope	—	API reference of cirq_ionq.calibration.Calibration
page:reference/python/cirq_ionq/ionq_client	out_of_scope	—	API reference of cirq_ionq.ionq_client
page:reference/python/cirq_ionq/ionq_devices	out_of_scope	—	API reference of cirq_ionq.ionq_devices
page:reference/python/cirq_ionq/ionq_devices/IonQAPIDevice	out_of_scope	—	API reference of cirq_ionq.ionq_devices.IonQAPIDevice
page:reference/python/cirq_ionq/ionq_exceptions	out_of_scope	—	API reference of cirq_ionq.ionq_exceptions
page:reference/python/cirq_ionq/ionq_exceptions/IonQException	out_of_scope	—	API reference of cirq_ionq.ionq_exceptions.IonQException
page:reference/python/cirq_ionq/ionq_exceptions/IonQNotFoundException	out_of_scope	—	API reference of cirq_ionq.ionq_exceptions.IonQNotFoundException
page:reference/python/cirq_ionq/ionq_exceptions/IonQSerializerMixedGatesetsException	out_of_scope	—	API reference of cirq_ionq.ionq_exceptions.IonQSerializerMixedGatesetsException
page:reference/python/cirq_ionq/ionq_exceptions/IonQUnsuccessfulJobException	out_of_scope	—	API reference of cirq_ionq.ionq_exceptions.IonQUnsuccessfulJobException
page:reference/python/cirq_ionq/ionq_exceptions/NotSupportedPauliexpParameters	out_of_scope	—	API reference of cirq_ionq.ionq_exceptions.NotSupportedPauliexpParameters
page:reference/python/cirq_ionq/ionq_gateset	out_of_scope	—	API reference of cirq_ionq.ionq_gateset
page:reference/python/cirq_ionq/ionq_gateset/IonQTargetGateset	out_of_scope	—	API reference of cirq_ionq.ionq_gateset.IonQTargetGateset
page:reference/python/cirq_ionq/ionq_gateset/decompose_all_to_all_connect_ccz_gate	out_of_scope	—	API reference of cirq_ionq.ionq_gateset.decompose_all_to_all_connect_ccz_gate
page:reference/python/cirq_ionq/ionq_native_gates	out_of_scope	—	API reference of cirq_ionq.ionq_native_gates
page:reference/python/cirq_ionq/ionq_native_gates/GPI	out_of_scope	—	API reference of cirq_ionq.ionq_native_gates.GPI
page:reference/python/cirq_ionq/ionq_native_gates/GPI2	out_of_scope	—	API reference of cirq_ionq.ionq_native_gates.GPI2
page:reference/python/cirq_ionq/ionq_native_gates/GPI2Gate	out_of_scope	—	API reference of cirq_ionq.ionq_native_gates.GPI2Gate
page:reference/python/cirq_ionq/ionq_native_gates/GPIGate	out_of_scope	—	API reference of cirq_ionq.ionq_native_gates.GPIGate
page:reference/python/cirq_ionq/ionq_native_gates/MS	out_of_scope	—	API reference of cirq_ionq.ionq_native_gates.MS
page:reference/python/cirq_ionq/ionq_native_gates/MSGate	out_of_scope	—	API reference of cirq_ionq.ionq_native_gates.MSGate
page:reference/python/cirq_ionq/ionq_native_gates/ZZ	out_of_scope	—	API reference of cirq_ionq.ionq_native_gates.ZZ
page:reference/python/cirq_ionq/ionq_native_gates/ZZGate	out_of_scope	—	API reference of cirq_ionq.ionq_native_gates.ZZGate
page:reference/python/cirq_ionq/ionq_native_target_gateset	out_of_scope	—	API reference of cirq_ionq.ionq_native_target_gateset
page:reference/python/cirq_ionq/ionq_native_target_gateset/AriaNativeGateset	out_of_scope	—	API reference of cirq_ionq.ionq_native_target_gateset.AriaNativeGateset
page:reference/python/cirq_ionq/ionq_native_target_gateset/ForteNativeGateset	out_of_scope	—	API reference of cirq_ionq.ionq_native_target_gateset.ForteNativeGateset
page:reference/python/cirq_ionq/ionq_native_target_gateset/IonqNativeGatesetBase	out_of_scope	—	API reference of cirq_ionq.ionq_native_target_gateset.IonqNativeGatesetBase
page:reference/python/cirq_ionq/job	out_of_scope	—	API reference of cirq_ionq.job
page:reference/python/cirq_ionq/job/Job	out_of_scope	—	API reference of cirq_ionq.job.Job
page:reference/python/cirq_ionq/json_resolver_cache	out_of_scope	—	API reference of cirq_ionq.json_resolver_cache
page:reference/python/cirq_ionq/results	out_of_scope	—	API reference of cirq_ionq.results
page:reference/python/cirq_ionq/results/QPUResult	out_of_scope	—	API reference of cirq_ionq.results.QPUResult
page:reference/python/cirq_ionq/results/SimulatorResult	out_of_scope	—	API reference of cirq_ionq.results.SimulatorResult
page:reference/python/cirq_ionq/sampler	out_of_scope	—	API reference of cirq_ionq.sampler
page:reference/python/cirq_ionq/sampler/Sampler	out_of_scope	—	API reference of cirq_ionq.sampler.Sampler
page:reference/python/cirq_ionq/serializer	out_of_scope	—	API reference of cirq_ionq.serializer
page:reference/python/cirq_ionq/serializer/SerializedProgram	out_of_scope	—	API reference of cirq_ionq.serializer.SerializedProgram
page:reference/python/cirq_ionq/serializer/Serializer	out_of_scope	—	API reference of cirq_ionq.serializer.Serializer
page:reference/python/cirq_ionq/service	out_of_scope	—	API reference of cirq_ionq.service
page:reference/python/cirq_ionq/service/Service	out_of_scope	—	API reference of cirq_ionq.service.Service
page:reference/python/cirq_pasqal	open	—	the page reference/python/cirq_pasqal
page:reference/python/cirq_pasqal/all_symbols	out_of_scope	—	API reference of cirq_pasqal.all_symbols
page:reference/python/cirq_pasqal/json_resolver_cache	out_of_scope	—	API reference of cirq_pasqal.json_resolver_cache
page:reference/python/cirq_pasqal/pasqal_device	out_of_scope	—	API reference of cirq_pasqal.pasqal_device
page:reference/python/cirq_pasqal/pasqal_device/PasqalDevice	out_of_scope	—	API reference of cirq_pasqal.pasqal_device.PasqalDevice
page:reference/python/cirq_pasqal/pasqal_device/PasqalVirtualDevice	out_of_scope	—	API reference of cirq_pasqal.pasqal_device.PasqalVirtualDevice
page:reference/python/cirq_pasqal/pasqal_gateset	out_of_scope	—	API reference of cirq_pasqal.pasqal_gateset
page:reference/python/cirq_pasqal/pasqal_gateset/PasqalGateset	out_of_scope	—	API reference of cirq_pasqal.pasqal_gateset.PasqalGateset
page:reference/python/cirq_pasqal/pasqal_gateset/split_multi_op_moments	out_of_scope	—	API reference of cirq_pasqal.pasqal_gateset.split_multi_op_moments
page:reference/python/cirq_pasqal/pasqal_noise_model	out_of_scope	—	API reference of cirq_pasqal.pasqal_noise_model
page:reference/python/cirq_pasqal/pasqal_noise_model/PasqalNoiseModel	out_of_scope	—	API reference of cirq_pasqal.pasqal_noise_model.PasqalNoiseModel
page:reference/python/cirq_pasqal/pasqal_qubits	out_of_scope	—	API reference of cirq_pasqal.pasqal_qubits
page:reference/python/cirq_pasqal/pasqal_qubits/ThreeDQubit	out_of_scope	—	API reference of cirq_pasqal.pasqal_qubits.ThreeDQubit
page:reference/python/cirq_pasqal/pasqal_qubits/TwoDQubit	out_of_scope	—	API reference of cirq_pasqal.pasqal_qubits.TwoDQubit
page:reference/python/cirq_pasqal/pasqal_qubits/sqrt	out_of_scope	—	API reference of cirq_pasqal.pasqal_qubits.sqrt
page:reference/python/cirq_pasqal/pasqal_sampler	out_of_scope	—	API reference of cirq_pasqal.pasqal_sampler
page:reference/python/cirq_pasqal/pasqal_sampler/PasqalSampler	out_of_scope	—	API reference of cirq_pasqal.pasqal_sampler.PasqalSampler
page:reference/python/cirq_web	open	—	the page reference/python/cirq_web
page:reference/python/cirq_web/all_symbols	out_of_scope	—	API reference of cirq_web.all_symbols
page:reference/python/cirq_web/bloch_sphere	out_of_scope	—	API reference of cirq_web.bloch_sphere
page:reference/python/cirq_web/bloch_sphere/BlochSphere	out_of_scope	—	API reference of cirq_web.bloch_sphere.BlochSphere
page:reference/python/cirq_web/bloch_sphere/bloch_sphere	out_of_scope	—	API reference of cirq_web.bloch_sphere.bloch_sphere
page:reference/python/cirq_web/circuits	out_of_scope	—	API reference of cirq_web.circuits
page:reference/python/cirq_web/circuits/Circuit3D	out_of_scope	—	API reference of cirq_web.circuits.Circuit3D
page:reference/python/cirq_web/circuits/Operation3DSymbol	out_of_scope	—	API reference of cirq_web.circuits.Operation3DSymbol
page:reference/python/cirq_web/circuits/circuit	out_of_scope	—	API reference of cirq_web.circuits.circuit
page:reference/python/cirq_web/circuits/symbols	out_of_scope	—	API reference of cirq_web.circuits.symbols
page:reference/python/cirq_web/circuits/symbols/DefaultResolver	out_of_scope	—	API reference of cirq_web.circuits.symbols.DefaultResolver
page:reference/python/cirq_web/circuits/symbols/SymbolInfo	out_of_scope	—	API reference of cirq_web.circuits.symbols.SymbolInfo
page:reference/python/cirq_web/circuits/symbols/SymbolResolver	out_of_scope	—	API reference of cirq_web.circuits.symbols.SymbolResolver
page:reference/python/cirq_web/circuits/symbols/resolve_operation	out_of_scope	—	API reference of cirq_web.circuits.symbols.resolve_operation
page:reference/python/cirq_web/deprecation	out_of_scope	—	API reference of cirq_web.deprecation
page:reference/python/cirq_web/deprecation/assert_deprecated_cirq_web_warning	out_of_scope	—	API reference of cirq_web.deprecation.assert_deprecated_cirq_web_warning
page:reference/python/cirq_web/deprecation/deprecated_cirq_web_class	out_of_scope	—	API reference of cirq_web.deprecation.deprecated_cirq_web_class
page:reference/python/cirq_web/deprecation/deprecated_cirq_web_function	out_of_scope	—	API reference of cirq_web.deprecation.deprecated_cirq_web_function
page:reference/python/cirq_web/widget	out_of_scope	—	API reference of cirq_web.widget
page:reference/python/cirq_web/widget/Env	out_of_scope	—	API reference of cirq_web.widget.Env
page:reference/python/cirq_web/widget/Widget	out_of_scope	—	API reference of cirq_web.widget.Widget
page:reference/python/fqe	open	—	the page reference/python/fqe
page:reference/python/fqe/NumberOperator	open	—	API reference of fqe.NumberOperator, not implemented here
page:reference/python/fqe/S2Operator	open	—	API reference of fqe.S2Operator, not implemented here
page:reference/python/fqe/SzOperator	open	—	API reference of fqe.SzOperator, not implemented here
page:reference/python/fqe/TimeReversalOp	open	—	API reference of fqe.TimeReversalOp, not implemented here
page:reference/python/fqe/Wavefunction	open	—	API reference of fqe.Wavefunction, not implemented here
page:reference/python/fqe/all_symbols	open	—	API reference of fqe.all_symbols, not implemented here
page:reference/python/fqe/apply	open	—	API reference of fqe.apply, not implemented here
page:reference/python/fqe/apply_generated_unitary	open	—	API reference of fqe.apply_generated_unitary, not implemented here
page:reference/python/fqe/bitstring	open	—	API reference of fqe.bitstring, not implemented here
page:reference/python/fqe/bitstring/check_conserved_bits	open	—	API reference of fqe.bitstring.check_conserved_bits, not implemented here
page:reference/python/fqe/bitstring/count_bits	open	—	API reference of fqe.bitstring.count_bits, not implemented here
page:reference/python/fqe/bitstring/count_bits_above	open	—	API reference of fqe.bitstring.count_bits_above, not implemented here
page:reference/python/fqe/bitstring/count_bits_below	open	—	API reference of fqe.bitstring.count_bits_below, not implemented here
page:reference/python/fqe/bitstring/count_bits_between	open	—	API reference of fqe.bitstring.count_bits_between, not implemented here
page:reference/python/fqe/bitstring/gbit_index	open	—	API reference of fqe.bitstring.gbit_index, not implemented here
page:reference/python/fqe/bitstring/get_bit	open	—	API reference of fqe.bitstring.get_bit, not implemented here
page:reference/python/fqe/bitstring/integer_index	open	—	API reference of fqe.bitstring.integer_index, not implemented here
page:reference/python/fqe/bitstring/lexicographic_bitstring_generator	open	—	API reference of fqe.bitstring.lexicographic_bitstring_generator, not implemented here
page:reference/python/fqe/bitstring/reverse_integer_index	open	—	API reference of fqe.bitstring.reverse_integer_index, not implemented here
page:reference/python/fqe/bitstring/set_bit	open	—	API reference of fqe.bitstring.set_bit, not implemented here
page:reference/python/fqe/bitstring/show_bits	open	—	API reference of fqe.bitstring.show_bits, not implemented here
page:reference/python/fqe/bitstring/unset_bit	open	—	API reference of fqe.bitstring.unset_bit, not implemented here
page:reference/python/fqe/cirq_utils	open	—	API reference of fqe.cirq_utils, not implemented here
page:reference/python/fqe/cirq_utils/X	open	—	API reference of fqe.cirq_utils.X, not implemented here
page:reference/python/fqe/cirq_utils/Y	open	—	API reference of fqe.cirq_utils.Y, not implemented here
page:reference/python/fqe/cirq_utils/Z	open	—	API reference of fqe.cirq_utils.Z, not implemented here
page:reference/python/fqe/cirq_utils/qubit_op_to_gate	open	—	API reference of fqe.cirq_utils.qubit_op_to_gate, not implemented here
page:reference/python/fqe/cirq_utils/qubit_ops_to_circuit	open	—	API reference of fqe.cirq_utils.qubit_ops_to_circuit, not implemented here
page:reference/python/fqe/cirq_utils/qubit_projection	open	—	API reference of fqe.cirq_utils.qubit_projection, not implemented here
page:reference/python/fqe/cirq_utils/qubit_wavefunction_from_vacuum	open	—	API reference of fqe.cirq_utils.qubit_wavefunction_from_vacuum, not implemented here
page:reference/python/fqe/diagonal_coulomb	open	—	API reference of fqe.diagonal_coulomb, not implemented here
page:reference/python/fqe/diagonal_coulomb/DiagonalCoulomb	open	—	API reference of fqe.diagonal_coulomb.DiagonalCoulomb, not implemented here
page:reference/python/fqe/diagonal_hamiltonian	open	—	API reference of fqe.diagonal_hamiltonian, not implemented here
page:reference/python/fqe/diagonal_hamiltonian/Diagonal	open	—	API reference of fqe.diagonal_hamiltonian.Diagonal, not implemented here
page:reference/python/fqe/dot	open	—	API reference of fqe.dot, not implemented here
page:reference/python/fqe/expectationValue	open	—	API reference of fqe.expectationValue, not implemented here
page:reference/python/fqe/fci_graph	open	—	API reference of fqe.fci_graph, not implemented here
page:reference/python/fqe/fci_graph/FciGraph	open	—	API reference of fqe.fci_graph.FciGraph, not implemented here
page:reference/python/fqe/fci_graph/Spinmap	open	—	API reference of fqe.fci_graph.Spinmap, not implemented here
page:reference/python/fqe/fci_graph/binom	open	—	API reference of fqe.fci_graph.binom, not implemented here
page:reference/python/fqe/fci_graph_set	open	—	API reference of fqe.fci_graph_set, not implemented here
page:reference/python/fqe/fci_graph_set/FciGraphSet	open	—	API reference of fqe.fci_graph_set.FciGraphSet, not implemented here
page:reference/python/fqe/fqe_data	open	—	API reference of fqe.fqe_data, not implemented here
page:reference/python/fqe/fqe_data/FqeData	open	—	API reference of fqe.fqe_data.FqeData, not implemented here
page:reference/python/fqe/fqe_data_set	open	—	API reference of fqe.fqe_data_set, not implemented here
page:reference/python/fqe/fqe_data_set/FqeDataSet	open	—	API reference of fqe.fqe_data_set.FqeDataSet, not implemented here
page:reference/python/fqe/fqe_decorators	open	—	API reference of fqe.fqe_decorators, not implemented here
page:reference/python/fqe/fqe_decorators/build_hamiltonian	open	—	API reference of fqe.fqe_decorators.build_hamiltonian, not implemented here
page:reference/python/fqe/fqe_decorators/check_diagonal_coulomb	open	—	API reference of fqe.fqe_decorators.check_diagonal_coulomb, not implemented here
page:reference/python/fqe/fqe_decorators/fermionops_tomatrix	open	—	API reference of fqe.fqe_decorators.fermionops_tomatrix, not implemented here
page:reference/python/fqe/fqe_decorators/process_rank2_matrix	open	—	API reference of fqe.fqe_decorators.process_rank2_matrix, not implemented here
page:reference/python/fqe/fqe_decorators/split_openfermion_tensor	open	—	API reference of fqe.fqe_decorators.split_openfermion_tensor, not implemented here
page:reference/python/fqe/fqe_decorators/transform_to_spin_broken	open	—	API reference of fqe.fqe_decorators.transform_to_spin_broken, not implemented here
page:reference/python/fqe/fqe_decorators/wrap_apply	open	—	API reference of fqe.fqe_decorators.wrap_apply, not implemented here
page:reference/python/fqe/fqe_decorators/wrap_apply_generated_unitary	open	—	API reference of fqe.fqe_decorators.wrap_apply_generated_unitary, not implemented here
page:reference/python/fqe/fqe_decorators/wrap_rdm	open	—	API reference of fqe.fqe_decorators.wrap_rdm, not implemented here
page:reference/python/fqe/fqe_decorators/wrap_time_evolve	open	—	API reference of fqe.fqe_decorators.wrap_time_evolve, not implemented here
page:reference/python/fqe/fqe_ops	open	—	API reference of fqe.fqe_ops, not implemented here
page:reference/python/fqe/fqe_ops/fqe_operator	open	—	API reference of fqe.fqe_ops.fqe_operator, not implemented here
page:reference/python/fqe/fqe_ops/fqe_operator/FqeOperator	open	—	API reference of fqe.fqe_ops.fqe_operator.FqeOperator, not implemented here
page:reference/python/fqe/fqe_ops/fqe_ops	open	—	API reference of fqe.fqe_ops.fqe_ops, not implemented here
page:reference/python/fqe/fqe_ops/fqe_ops_utils	open	—	API reference of fqe.fqe_ops.fqe_ops_utils, not implemented here
page:reference/python/fqe/fqe_ops/fqe_ops_utils/switch_broken_symmetry	open	—	API reference of fqe.fqe_ops.fqe_ops_utils.switch_broken_symmetry, not implemented here
page:reference/python/fqe/fqe_ops/fqe_ops_utils/validate_rdm_string	open	—	API reference of fqe.fqe_ops.fqe_ops_utils.validate_rdm_string, not implemented here
page:reference/python/fqe/from_cirq	open	—	API reference of fqe.from_cirq, not implemented here
page:reference/python/fqe/general_hamiltonian	open	—	API reference of fqe.general_hamiltonian, not implemented here
page:reference/python/fqe/general_hamiltonian/General	open	—	API reference of fqe.general_hamiltonian.General, not implemented here
page:reference/python/fqe/get_diagonal_hamiltonian	open	—	API reference of fqe.get_diagonal_hamiltonian, not implemented here
page:reference/python/fqe/get_diagonalcoulomb_hamiltonian	open	—	API reference of fqe.get_diagonalcoulomb_hamiltonian, not implemented here
page:reference/python/fqe/get_general_hamiltonian	open	—	API reference of fqe.get_general_hamiltonian, not implemented here
page:reference/python/fqe/get_gso_hamiltonian	open	—	API reference of fqe.get_gso_hamiltonian, not implemented here
page:reference/python/fqe/get_hamiltonian_from_openfermion	open	—	API reference of fqe.get_hamiltonian_from_openfermion, not implemented here
page:reference/python/fqe/get_number_conserving_wavefunction	open	—	API reference of fqe.get_number_conserving_wavefunction, not implemented here
page:reference/python/fqe/get_number_operator	open	—	API reference of fqe.get_number_operator, not implemented here
page:reference/python/fqe/get_restricted_hamiltonian	open	—	API reference of fqe.get_restricted_hamiltonian, not implemented here
page:reference/python/fqe/get_s2_operator	open	—	API reference of fqe.get_s2_operator, not implemented here
page:reference/python/fqe/get_sparse_hamiltonian	open	—	API reference of fqe.get_sparse_hamiltonian, not implemented here
page:reference/python/fqe/get_spin_conserving_wavefunction	open	—	API reference of fqe.get_spin_conserving_wavefunction, not implemented here
page:reference/python/fqe/get_sso_hamiltonian	open	—	API reference of fqe.get_sso_hamiltonian, not implemented here
page:reference/python/fqe/get_sz_operator	open	—	API reference of fqe.get_sz_operator, not implemented here
page:reference/python/fqe/get_time_reversal_operator	open	—	API reference of fqe.get_time_reversal_operator, not implemented here
page:reference/python/fqe/get_wavefunction	open	—	API reference of fqe.get_wavefunction, not implemented here
page:reference/python/fqe/get_wavefunction_multiple	open	—	API reference of fqe.get_wavefunction_multiple, not implemented here
page:reference/python/fqe/gso_hamiltonian	open	—	API reference of fqe.gso_hamiltonian, not implemented here
page:reference/python/fqe/gso_hamiltonian/GSOHamiltonian	open	—	API reference of fqe.gso_hamiltonian.GSOHamiltonian, not implemented here
page:reference/python/fqe/hamiltonians	open	—	API reference of fqe.hamiltonians, not implemented here
page:reference/python/fqe/hamiltonians/hamiltonian	open	—	API reference of fqe.hamiltonians.hamiltonian, not implemented here
page:reference/python/fqe/hamiltonians/hamiltonian/Hamiltonian	open	—	API reference of fqe.hamiltonians.hamiltonian.Hamiltonian, not implemented here
page:reference/python/fqe/hamiltonians/hamiltonian_utils	open	—	API reference of fqe.hamiltonians.hamiltonian_utils, not implemented here
page:reference/python/fqe/hamiltonians/hamiltonian_utils/Newop	open	—	API reference of fqe.hamiltonians.hamiltonian_utils.Newop, not implemented here
page:reference/python/fqe/hamiltonians/hamiltonian_utils/antisymm_four_body	open	—	API reference of fqe.hamiltonians.hamiltonian_utils.antisymm_four_body, not implemented here
page:reference/python/fqe/hamiltonians/hamiltonian_utils/antisymm_three_body	open	—	API reference of fqe.hamiltonians.hamiltonian_utils.antisymm_three_body, not implemented here
page:reference/python/fqe/hamiltonians/hamiltonian_utils/antisymm_two_body	open	—	API reference of fqe.hamiltonians.hamiltonian_utils.antisymm_two_body, not implemented here
page:reference/python/fqe/hamiltonians/hamiltonian_utils/gather_nbody_spin_sectors	open	—	API reference of fqe.hamiltonians.hamiltonian_utils.gather_nbody_spin_sectors, not implemented here
page:reference/python/fqe/hamiltonians/hamiltonian_utils/nbody_matrix	open	—	API reference of fqe.hamiltonians.hamiltonian_utils.nbody_matrix, not implemented here
page:reference/python/fqe/openfermion_utils	open	—	API reference of fqe.openfermion_utils, not implemented here
page:reference/python/fqe/openfermion_utils/ascending_index_order	open	—	API reference of fqe.openfermion_utils.ascending_index_order, not implemented here
page:reference/python/fqe/openfermion_utils/bit_to_fermion_creation	open	—	API reference of fqe.openfermion_utils.bit_to_fermion_creation, not implemented here
page:reference/python/fqe/openfermion_utils/convert_qubit_wfn_to_fqe_syntax	open	—	API reference of fqe.openfermion_utils.convert_qubit_wfn_to_fqe_syntax, not implemented here
page:reference/python/fqe/openfermion_utils/determinant_to_ops	open	—	API reference of fqe.openfermion_utils.determinant_to_ops, not implemented here
page:reference/python/fqe/openfermion_utils/fci_fermion_operator_representation	open	—	API reference of fqe.openfermion_utils.fci_fermion_operator_representation, not implemented here
page:reference/python/fqe/openfermion_utils/fci_qubit_representation	open	—	API reference of fqe.openfermion_utils.fci_qubit_representation, not implemented here
page:reference/python/fqe/openfermion_utils/fermion_operator_to_bitstring	open	—	API reference of fqe.openfermion_utils.fermion_operator_to_bitstring, not implemented here
page:reference/python/fqe/openfermion_utils/fermion_opstring_to_bitstring	open	—	API reference of fqe.openfermion_utils.fermion_opstring_to_bitstring, not implemented here
page:reference/python/fqe/openfermion_utils/fqe_to_fermion_operator	open	—	API reference of fqe.openfermion_utils.fqe_to_fermion_operator, not implemented here
page:reference/python/fqe/openfermion_utils/integrals_to_fqe_restricted	open	—	API reference of fqe.openfermion_utils.integrals_to_fqe_restricted, not implemented here
page:reference/python/fqe/openfermion_utils/ladder_op	open	—	API reference of fqe.openfermion_utils.ladder_op, not implemented here
page:reference/python/fqe/openfermion_utils/largest_operator_index	open	—	API reference of fqe.openfermion_utils.largest_operator_index, not implemented here
page:reference/python/fqe/openfermion_utils/molecular_data_to_restricted_fqe_op	open	—	API reference of fqe.openfermion_utils.molecular_data_to_restricted_fqe_op, not implemented here
page:reference/python/fqe/openfermion_utils/mutate_config	open	—	API reference of fqe.openfermion_utils.mutate_config, not implemented here
page:reference/python/fqe/openfermion_utils/split_openfermion_tensor	open	—	API reference of fqe.openfermion_utils.split_openfermion_tensor, not implemented here
page:reference/python/fqe/openfermion_utils/update_operator_coeff	open	—	API reference of fqe.openfermion_utils.update_operator_coeff, not implemented here
page:reference/python/fqe/restricted_hamiltonian	open	—	API reference of fqe.restricted_hamiltonian, not implemented here
page:reference/python/fqe/restricted_hamiltonian/RestrictedHamiltonian	open	—	API reference of fqe.restricted_hamiltonian.RestrictedHamiltonian, not implemented here
page:reference/python/fqe/sparse_hamiltonian	open	—	API reference of fqe.sparse_hamiltonian, not implemented here
page:reference/python/fqe/sparse_hamiltonian/SparseHamiltonian	open	—	API reference of fqe.sparse_hamiltonian.SparseHamiltonian, not implemented here
page:reference/python/fqe/sso_hamiltonian	open	—	API reference of fqe.sso_hamiltonian, not implemented here
page:reference/python/fqe/sso_hamiltonian/SSOHamiltonian	open	—	API reference of fqe.sso_hamiltonian.SSOHamiltonian, not implemented here
page:reference/python/fqe/time_evolve	open	—	API reference of fqe.time_evolve, not implemented here
page:reference/python/fqe/to_cirq	open	—	API reference of fqe.to_cirq, not implemented here
page:reference/python/fqe/to_cirq_ncr	open	—	API reference of fqe.to_cirq_ncr, not implemented here
page:reference/python/fqe/transform	open	—	API reference of fqe.transform, not implemented here
page:reference/python/fqe/transform/cirq_to_fqe_single	open	—	API reference of fqe.transform.cirq_to_fqe_single, not implemented here
page:reference/python/fqe/transform/from_cirq	open	—	API reference of fqe.transform.from_cirq, not implemented here
page:reference/python/fqe/util	open	—	API reference of fqe.util, not implemented here
page:reference/python/fqe/util/alpha_beta_electrons	open	—	API reference of fqe.util.alpha_beta_electrons, not implemented here
page:reference/python/fqe/util/bubblesort	open	—	API reference of fqe.util.bubblesort, not implemented here
page:reference/python/fqe/util/configuration_key_intersection	open	—	API reference of fqe.util.configuration_key_intersection, not implemented here
page:reference/python/fqe/util/configuration_key_union	open	—	API reference of fqe.util.configuration_key_union, not implemented here
page:reference/python/fqe/util/dot	open	—	API reference of fqe.util.dot, not implemented here
page:reference/python/fqe/util/init_bitstring_groundstate	open	—	API reference of fqe.util.init_bitstring_groundstate, not implemented here
page:reference/python/fqe/util/init_qubit_vacuum	open	—	API reference of fqe.util.init_qubit_vacuum, not implemented here
page:reference/python/fqe/util/invert_bitstring_with_mask	open	—	API reference of fqe.util.invert_bitstring_with_mask, not implemented here
page:reference/python/fqe/util/ltlt_index_generator	open	—	API reference of fqe.util.ltlt_index_generator, not implemented here
page:reference/python/fqe/util/map_broken_symmetry	open	—	API reference of fqe.util.map_broken_symmetry, not implemented here
page:reference/python/fqe/util/paritysort_int	open	—	API reference of fqe.util.paritysort_int, not implemented here
page:reference/python/fqe/util/paritysort_list	open	—	API reference of fqe.util.paritysort_list, not implemented here
page:reference/python/fqe/util/qubit_config_sector	open	—	API reference of fqe.util.qubit_config_sector, not implemented here
page:reference/python/fqe/util/qubit_particle_number_index	open	—	API reference of fqe.util.qubit_particle_number_index, not implemented here
page:reference/python/fqe/util/qubit_particle_number_index_spin	open	—	API reference of fqe.util.qubit_particle_number_index_spin, not implemented here
page:reference/python/fqe/util/qubit_particle_number_sector	open	—	API reference of fqe.util.qubit_particle_number_sector, not implemented here
page:reference/python/fqe/util/rand_wfn	open	—	API reference of fqe.util.rand_wfn, not implemented here
page:reference/python/fqe/util/reverse_bubble_list	open	—	API reference of fqe.util.reverse_bubble_list, not implemented here
page:reference/python/fqe/util/sort_configuration_keys	open	—	API reference of fqe.util.sort_configuration_keys, not implemented here
page:reference/python/fqe/util/validate_config	open	—	API reference of fqe.util.validate_config, not implemented here
page:reference/python/fqe/util/validate_tuple	open	—	API reference of fqe.util.validate_tuple, not implemented here
page:reference/python/fqe/util/vdot	open	—	API reference of fqe.util.vdot, not implemented here
page:reference/python/fqe/util/zero_transform	open	—	API reference of fqe.util.zero_transform, not implemented here
page:reference/python/fqe/vdot	open	—	API reference of fqe.vdot, not implemented here
page:reference/python/fqe/wavefunction	open	—	API reference of fqe.wavefunction, not implemented here
page:reference/python/fqe/wavefunction/Wavefunction	open	—	API reference of fqe.wavefunction.Wavefunction, not implemented here
page:reference/python/fqe/wavefunction/jv	open	—	API reference of fqe.wavefunction.jv, not implemented here
page:reference/python/fqe/wick	open	—	API reference of fqe.wick, not implemented here
page:reference/python/fqe/wick/Mapping	open	—	API reference of fqe.wick.Mapping, not implemented here
page:reference/python/fqe/wick/wick	open	—	API reference of fqe.wick.wick, not implemented here
page:reference/python/fqe/wick/wickfill	open	—	API reference of fqe.wick.wickfill, not implemented here
page:reference/python/openfermion	open	—	the page reference/python/openfermion
page:reference/python/openfermion/all_symbols	open	—	API reference of openfermion.all_symbols, not implemented here
page:reference/python/openfermion/chem	open	—	API reference of openfermion.chem, not implemented here
page:reference/python/openfermion/chem/MolecularData	partial	chemistry-simulation	API reference of openfermion.chem.MolecularData; for H₂ in STO-3G its content (the integrals, the Pauli-term Hamiltonian) is computed here
page:reference/python/openfermion/chem/angstroms_to_bohr	open	—	API reference of openfermion.chem.angstroms_to_bohr, not implemented here
page:reference/python/openfermion/chem/antisymtei	open	—	API reference of openfermion.chem.antisymtei, not implemented here
page:reference/python/openfermion/chem/bohr_to_angstroms	open	—	API reference of openfermion.chem.bohr_to_angstroms, not implemented here
page:reference/python/openfermion/chem/chemical_series	open	—	API reference of openfermion.chem.chemical_series, not implemented here
page:reference/python/openfermion/chem/chemical_series/MolecularLatticeError	open	—	API reference of openfermion.chem.chemical_series.MolecularLatticeError, not implemented here
page:reference/python/openfermion/chem/geometry_from_file	open	—	API reference of openfermion.chem.geometry_from_file, not implemented here
page:reference/python/openfermion/chem/geometry_from_pubchem	open	—	API reference of openfermion.chem.geometry_from_pubchem, not implemented here
page:reference/python/openfermion/chem/j_mat	open	—	API reference of openfermion.chem.j_mat, not implemented here
page:reference/python/openfermion/chem/k_mat	open	—	API reference of openfermion.chem.k_mat, not implemented here
page:reference/python/openfermion/chem/load_molecular_hamiltonian	open	—	API reference of openfermion.chem.load_molecular_hamiltonian, not implemented here
page:reference/python/openfermion/chem/make_atom	open	—	API reference of openfermion.chem.make_atom, not implemented here
page:reference/python/openfermion/chem/make_atomic_lattice	open	—	API reference of openfermion.chem.make_atomic_lattice, not implemented here
page:reference/python/openfermion/chem/make_atomic_ring	open	—	API reference of openfermion.chem.make_atomic_ring, not implemented here
page:reference/python/openfermion/chem/make_reduced_hamiltonian	open	—	API reference of openfermion.chem.make_reduced_hamiltonian, not implemented here
page:reference/python/openfermion/chem/molecular_data	open	—	API reference of openfermion.chem.molecular_data, not implemented here
page:reference/python/openfermion/chem/molecular_data/MissingCalculationError	open	—	API reference of openfermion.chem.molecular_data.MissingCalculationError, not implemented here
page:reference/python/openfermion/chem/molecular_data/MoleculeNameError	open	—	API reference of openfermion.chem.molecular_data.MoleculeNameError, not implemented here
page:reference/python/openfermion/chem/molecular_data/spinorb_from_spatial	open	—	API reference of openfermion.chem.molecular_data.spinorb_from_spatial, not implemented here
page:reference/python/openfermion/chem/name_molecule	open	—	API reference of openfermion.chem.name_molecule, not implemented here
page:reference/python/openfermion/chem/pubchem	open	—	API reference of openfermion.chem.pubchem, not implemented here
page:reference/python/openfermion/chem/reduced_hamiltonian	open	—	API reference of openfermion.chem.reduced_hamiltonian, not implemented here
page:reference/python/openfermion/circuits	open	—	API reference of openfermion.circuits, not implemented here
page:reference/python/openfermion/circuits/AsymmetricSplitOperatorTrotterStep	open	—	API reference of openfermion.circuits.AsymmetricSplitOperatorTrotterStep, not implemented here
page:reference/python/openfermion/circuits/CRxxyy	open	—	API reference of openfermion.circuits.CRxxyy, not implemented here
page:reference/python/openfermion/circuits/CRyxxy	open	—	API reference of openfermion.circuits.CRyxxy, not implemented here
page:reference/python/openfermion/circuits/ControlledAsymmetricSplitOperatorTrotterStep	open	—	API reference of openfermion.circuits.ControlledAsymmetricSplitOperatorTrotterStep, not implemented here
page:reference/python/openfermion/circuits/ControlledSymmetricSplitOperatorTrotterStep	open	—	API reference of openfermion.circuits.ControlledSymmetricSplitOperatorTrotterStep, not implemented here
page:reference/python/openfermion/circuits/CubicFermionicSimulationGate	open	—	API reference of openfermion.circuits.CubicFermionicSimulationGate, not implemented here
page:reference/python/openfermion/circuits/DoubleExcitation	open	—	API reference of openfermion.circuits.DoubleExcitation, not implemented here
page:reference/python/openfermion/circuits/DoubleExcitationGate	open	—	API reference of openfermion.circuits.DoubleExcitationGate, not implemented here
page:reference/python/openfermion/circuits/FSWAP	open	—	API reference of openfermion.circuits.FSWAP, not implemented here
page:reference/python/openfermion/circuits/FSwapPowGate	open	—	API reference of openfermion.circuits.FSwapPowGate, not implemented here
page:reference/python/openfermion/circuits/InteractionOperatorFermionicGate	open	—	API reference of openfermion.circuits.InteractionOperatorFermionicGate, not implemented here
page:reference/python/openfermion/circuits/LinearSwapNetworkTrotterAlgorithm	open	—	API reference of openfermion.circuits.LinearSwapNetworkTrotterAlgorithm, not implemented here
page:reference/python/openfermion/circuits/LowRankTrotterAlgorithm	open	—	API reference of openfermion.circuits.LowRankTrotterAlgorithm, not implemented here
page:reference/python/openfermion/circuits/ParityPreservingFermionicGate	open	—	API reference of openfermion.circuits.ParityPreservingFermionicGate, not implemented here
page:reference/python/openfermion/circuits/QuadraticFermionicSimulationGate	open	—	API reference of openfermion.circuits.QuadraticFermionicSimulationGate, not implemented here
page:reference/python/openfermion/circuits/QuarticFermionicSimulationGate	open	—	API reference of openfermion.circuits.QuarticFermionicSimulationGate, not implemented here
page:reference/python/openfermion/circuits/Rxxyy	open	—	API reference of openfermion.circuits.Rxxyy, not implemented here
page:reference/python/openfermion/circuits/Ryxxy	open	—	API reference of openfermion.circuits.Ryxxy, not implemented here
page:reference/python/openfermion/circuits/Rzz	open	—	API reference of openfermion.circuits.Rzz, not implemented here
page:reference/python/openfermion/circuits/SplitOperatorTrotterAlgorithm	open	—	API reference of openfermion.circuits.SplitOperatorTrotterAlgorithm, not implemented here
page:reference/python/openfermion/circuits/SplitOperatorTrotterStep	open	—	API reference of openfermion.circuits.SplitOperatorTrotterStep, not implemented here
page:reference/python/openfermion/circuits/SymmetricSplitOperatorTrotterStep	open	—	API reference of openfermion.circuits.SymmetricSplitOperatorTrotterStep, not implemented here
page:reference/python/openfermion/circuits/TrotterAlgorithm	open	—	API reference of openfermion.circuits.TrotterAlgorithm, not implemented here
page:reference/python/openfermion/circuits/TrotterStep	open	—	API reference of openfermion.circuits.TrotterStep, not implemented here
page:reference/python/openfermion/circuits/bit_mask_of_modes_acted_on_by_fermionic_terms	open	—	API reference of openfermion.circuits.bit_mask_of_modes_acted_on_by_fermionic_terms, not implemented here
page:reference/python/openfermion/circuits/bogoliubov_transform	open	—	API reference of openfermion.circuits.bogoliubov_transform, not implemented here
page:reference/python/openfermion/circuits/diagonal_coulomb_potential_and_kinetic_terms_as_arrays	open	—	API reference of openfermion.circuits.diagonal_coulomb_potential_and_kinetic_terms_as_arrays, not implemented here
page:reference/python/openfermion/circuits/error_bound	open	—	API reference of openfermion.circuits.error_bound, not implemented here
page:reference/python/openfermion/circuits/error_operator	open	—	API reference of openfermion.circuits.error_operator, not implemented here
page:reference/python/openfermion/circuits/fermionic_simulation_gates_from_interaction_operator	open	—	API reference of openfermion.circuits.fermionic_simulation_gates_from_interaction_operator, not implemented here
page:reference/python/openfermion/circuits/fermionic_swap_trotter_error_operator_diagonal_two_body	open	—	API reference of openfermion.circuits.fermionic_swap_trotter_error_operator_diagonal_two_body, not implemented here
page:reference/python/openfermion/circuits/ffft	open	—	API reference of openfermion.circuits.ffft, not implemented here
page:reference/python/openfermion/circuits/gates	open	—	API reference of openfermion.circuits.gates, not implemented here
page:reference/python/openfermion/circuits/gates/common_gates	open	—	API reference of openfermion.circuits.gates.common_gates, not implemented here
page:reference/python/openfermion/circuits/gates/fermionic_simulation	open	—	API reference of openfermion.circuits.gates.fermionic_simulation, not implemented here
page:reference/python/openfermion/circuits/gates/four_qubit_gates	open	—	API reference of openfermion.circuits.gates.four_qubit_gates, not implemented here
page:reference/python/openfermion/circuits/gates/three_qubit_gates	open	—	API reference of openfermion.circuits.gates.three_qubit_gates, not implemented here
page:reference/python/openfermion/circuits/gaussian_state_preparation_circuit	open	—	API reference of openfermion.circuits.gaussian_state_preparation_circuit, not implemented here
page:reference/python/openfermion/circuits/get_chemist_two_body_coefficients	open	—	API reference of openfermion.circuits.get_chemist_two_body_coefficients, not implemented here
page:reference/python/openfermion/circuits/jw_get_gaussian_state	open	—	API reference of openfermion.circuits.jw_get_gaussian_state, not implemented here
page:reference/python/openfermion/circuits/jw_slater_determinant	open	—	API reference of openfermion.circuits.jw_slater_determinant, not implemented here
page:reference/python/openfermion/circuits/lambda_norm	open	—	API reference of openfermion.circuits.lambda_norm, not implemented here
page:reference/python/openfermion/circuits/lcu_util	open	—	API reference of openfermion.circuits.lcu_util, not implemented here
page:reference/python/openfermion/circuits/low_depth_second_order_trotter_error_bound	open	—	API reference of openfermion.circuits.low_depth_second_order_trotter_error_bound, not implemented here
page:reference/python/openfermion/circuits/low_depth_second_order_trotter_error_operator	open	—	API reference of openfermion.circuits.low_depth_second_order_trotter_error_operator, not implemented here
page:reference/python/openfermion/circuits/low_rank	open	—	API reference of openfermion.circuits.low_rank, not implemented here
page:reference/python/openfermion/circuits/low_rank_two_body_decomposition	open	—	API reference of openfermion.circuits.low_rank_two_body_decomposition, not implemented here
page:reference/python/openfermion/circuits/optimal_givens_decomposition	open	—	API reference of openfermion.circuits.optimal_givens_decomposition, not implemented here
page:reference/python/openfermion/circuits/pauli_exp_to_qasm	open	—	API reference of openfermion.circuits.pauli_exp_to_qasm, not implemented here
page:reference/python/openfermion/circuits/prepare_gaussian_state	open	—	API reference of openfermion.circuits.prepare_gaussian_state, not implemented here
page:reference/python/openfermion/circuits/prepare_one_body_squared_evolution	open	—	API reference of openfermion.circuits.prepare_one_body_squared_evolution, not implemented here
page:reference/python/openfermion/circuits/prepare_slater_determinant	open	—	API reference of openfermion.circuits.prepare_slater_determinant, not implemented here
page:reference/python/openfermion/circuits/preprocess_lcu_coefficients_for_reversible_sampling	open	—	API reference of openfermion.circuits.preprocess_lcu_coefficients_for_reversible_sampling, not implemented here
page:reference/python/openfermion/circuits/primitives	open	—	API reference of openfermion.circuits.primitives, not implemented here
page:reference/python/openfermion/circuits/primitives/state_preparation	open	—	API reference of openfermion.circuits.primitives.state_preparation, not implemented here
page:reference/python/openfermion/circuits/rot11	open	—	API reference of openfermion.circuits.rot11, not implemented here
page:reference/python/openfermion/circuits/rot111	open	—	API reference of openfermion.circuits.rot111, not implemented here
page:reference/python/openfermion/circuits/simulate_trotter	open	—	API reference of openfermion.circuits.simulate_trotter, not implemented here
page:reference/python/openfermion/circuits/simulation_ordered_grouped_hubbard_terms_with_info	open	—	API reference of openfermion.circuits.simulation_ordered_grouped_hubbard_terms_with_info, not implemented here
page:reference/python/openfermion/circuits/simulation_ordered_grouped_low_depth_terms_with_info	open	—	API reference of openfermion.circuits.simulation_ordered_grouped_low_depth_terms_with_info, not implemented here
page:reference/python/openfermion/circuits/slater_determinant_preparation_circuit	open	—	API reference of openfermion.circuits.slater_determinant_preparation_circuit, not implemented here
page:reference/python/openfermion/circuits/slater_determinants	open	—	API reference of openfermion.circuits.slater_determinants, not implemented here
page:reference/python/openfermion/circuits/split_operator_trotter_error_operator_diagonal_two_body	open	—	API reference of openfermion.circuits.split_operator_trotter_error_operator_diagonal_two_body, not implemented here
page:reference/python/openfermion/circuits/stagger_with_info	open	—	API reference of openfermion.circuits.stagger_with_info, not implemented here
page:reference/python/openfermion/circuits/state_swap_eigen_component	open	—	API reference of openfermion.circuits.state_swap_eigen_component, not implemented here
page:reference/python/openfermion/circuits/sum_of_interaction_operator_gate_generators	open	—	API reference of openfermion.circuits.sum_of_interaction_operator_gate_generators, not implemented here
page:reference/python/openfermion/circuits/swap_network	open	—	API reference of openfermion.circuits.swap_network, not implemented here
page:reference/python/openfermion/circuits/trotter	open	—	API reference of openfermion.circuits.trotter, not implemented here
page:reference/python/openfermion/circuits/trotter/algorithms	open	—	API reference of openfermion.circuits.trotter.algorithms, not implemented here
page:reference/python/openfermion/circuits/trotter/algorithms/linear_swap_network	open	—	API reference of openfermion.circuits.trotter.algorithms.linear_swap_network, not implemented here
page:reference/python/openfermion/circuits/trotter/algorithms/linear_swap_network/AsymmetricLinearSwapNetworkTrotterStep	open	—	API reference of openfermion.circuits.trotter.algorithms.linear_swap_network.AsymmetricLinearSwapNetworkTrotterStep, not implemented here
page:reference/python/openfermion/circuits/trotter/algorithms/linear_swap_network/ControlledAsymmetricLinearSwapNetworkTrotterStep	open	—	API reference of openfermion.circuits.trotter.algorithms.linear_swap_network.ControlledAsymmetricLinearSwapNetworkTrotterStep, not implemented here
page:reference/python/openfermion/circuits/trotter/algorithms/linear_swap_network/ControlledSymmetricLinearSwapNetworkTrotterStep	open	—	API reference of openfermion.circuits.trotter.algorithms.linear_swap_network.ControlledSymmetricLinearSwapNetworkTrotterStep, not implemented here
page:reference/python/openfermion/circuits/trotter/algorithms/linear_swap_network/LinearSwapNetworkTrotterStep	open	—	API reference of openfermion.circuits.trotter.algorithms.linear_swap_network.LinearSwapNetworkTrotterStep, not implemented here
page:reference/python/openfermion/circuits/trotter/algorithms/linear_swap_network/SymmetricLinearSwapNetworkTrotterStep	open	—	API reference of openfermion.circuits.trotter.algorithms.linear_swap_network.SymmetricLinearSwapNetworkTrotterStep, not implemented here
page:reference/python/openfermion/circuits/trotter/algorithms/low_rank	open	—	API reference of openfermion.circuits.trotter.algorithms.low_rank, not implemented here
page:reference/python/openfermion/circuits/trotter/algorithms/low_rank/AsymmetricLowRankTrotterStep	open	—	API reference of openfermion.circuits.trotter.algorithms.low_rank.AsymmetricLowRankTrotterStep, not implemented here
page:reference/python/openfermion/circuits/trotter/algorithms/low_rank/ControlledAsymmetricLowRankTrotterStep	open	—	API reference of openfermion.circuits.trotter.algorithms.low_rank.ControlledAsymmetricLowRankTrotterStep, not implemented here
page:reference/python/openfermion/circuits/trotter/algorithms/low_rank/LowRankTrotterStep	open	—	API reference of openfermion.circuits.trotter.algorithms.low_rank.LowRankTrotterStep, not implemented here
page:reference/python/openfermion/circuits/trotter/algorithms/split_operator	open	—	API reference of openfermion.circuits.trotter.algorithms.split_operator, not implemented here
page:reference/python/openfermion/circuits/trotter/diagonal_coulomb_trotter_error	open	—	API reference of openfermion.circuits.trotter.diagonal_coulomb_trotter_error, not implemented here
page:reference/python/openfermion/circuits/trotter/hubbard_trotter_error	open	—	API reference of openfermion.circuits.trotter.hubbard_trotter_error, not implemented here
page:reference/python/openfermion/circuits/trotter/low_depth_trotter_error	open	—	API reference of openfermion.circuits.trotter.low_depth_trotter_error, not implemented here
page:reference/python/openfermion/circuits/trotter/low_depth_trotter_error/ordered_low_depth_terms_no_info	open	—	API reference of openfermion.circuits.trotter.low_depth_trotter_error.ordered_low_depth_terms_no_info, not implemented here
page:reference/python/openfermion/circuits/trotter/trotter_algorithm	open	—	API reference of openfermion.circuits.trotter.trotter_algorithm, not implemented here
page:reference/python/openfermion/circuits/trotter/trotter_algorithm/Hamiltonian	open	—	API reference of openfermion.circuits.trotter.trotter_algorithm.Hamiltonian, not implemented here
page:reference/python/openfermion/circuits/trotter/trotter_error	open	—	API reference of openfermion.circuits.trotter.trotter_error, not implemented here
page:reference/python/openfermion/circuits/trotter/trotter_error/ceil	open	—	API reference of openfermion.circuits.trotter.trotter_error.ceil, not implemented here
page:reference/python/openfermion/circuits/trotter/trotter_error/commutator	open	—	API reference of openfermion.circuits.trotter.trotter_error.commutator, not implemented here
page:reference/python/openfermion/circuits/trotter/trotter_error/sqrt	open	—	API reference of openfermion.circuits.trotter.trotter_error.sqrt, not implemented here
page:reference/python/openfermion/circuits/trotter/trotter_error/trivially_commutes	open	—	API reference of openfermion.circuits.trotter.trotter_error.trivially_commutes, not implemented here
page:reference/python/openfermion/circuits/trotter/trotter_error/trivially_double_commutes	open	—	API reference of openfermion.circuits.trotter.trotter_error.trivially_double_commutes, not implemented here
page:reference/python/openfermion/circuits/trotter_exp_to_qgates	open	—	API reference of openfermion.circuits.trotter_exp_to_qgates, not implemented here
page:reference/python/openfermion/circuits/trotter_operator_grouping	open	—	API reference of openfermion.circuits.trotter_operator_grouping, not implemented here
page:reference/python/openfermion/circuits/trotter_steps_required	open	—	API reference of openfermion.circuits.trotter_steps_required, not implemented here
page:reference/python/openfermion/circuits/trotter_steps_required_propagator	open	—	API reference of openfermion.circuits.trotter_steps_required_propagator, not implemented here
page:reference/python/openfermion/circuits/trotterize_exp_qubop_to_qasm	open	—	API reference of openfermion.circuits.trotterize_exp_qubop_to_qasm, not implemented here
page:reference/python/openfermion/circuits/uccsd_convert_amplitude_format	open	—	API reference of openfermion.circuits.uccsd_convert_amplitude_format, not implemented here
page:reference/python/openfermion/circuits/uccsd_generator	open	—	API reference of openfermion.circuits.uccsd_generator, not implemented here
page:reference/python/openfermion/circuits/uccsd_singlet_generator	open	—	API reference of openfermion.circuits.uccsd_singlet_generator, not implemented here
page:reference/python/openfermion/circuits/uccsd_singlet_get_packed_amplitudes	open	—	API reference of openfermion.circuits.uccsd_singlet_get_packed_amplitudes, not implemented here
page:reference/python/openfermion/circuits/uccsd_singlet_paramsize	open	—	API reference of openfermion.circuits.uccsd_singlet_paramsize, not implemented here
page:reference/python/openfermion/circuits/unitary_cc	open	—	API reference of openfermion.circuits.unitary_cc, not implemented here
page:reference/python/openfermion/circuits/vpe_circuits	open	—	API reference of openfermion.circuits.vpe_circuits, not implemented here
page:reference/python/openfermion/circuits/vpe_circuits_single_timestep	open	—	API reference of openfermion.circuits.vpe_circuits_single_timestep, not implemented here
page:reference/python/openfermion/circuits/vpe_single_circuit	open	—	API reference of openfermion.circuits.vpe_single_circuit, not implemented here
page:reference/python/openfermion/config	open	—	API reference of openfermion.config, not implemented here
page:reference/python/openfermion/config/get_available_cpu_count	open	—	API reference of openfermion.config.get_available_cpu_count, not implemented here
page:reference/python/openfermion/config/set_threading_limits	open	—	API reference of openfermion.config.set_threading_limits, not implemented here
page:reference/python/openfermion/contextuality	open	—	API reference of openfermion.contextuality, not implemented here
page:reference/python/openfermion/contextuality/is_contextual	open	—	API reference of openfermion.contextuality.is_contextual, not implemented here
page:reference/python/openfermion/contrib	open	—	API reference of openfermion.contrib, not implemented here
page:reference/python/openfermion/contrib/representability	open	—	API reference of openfermion.contrib.representability, not implemented here
page:reference/python/openfermion/fixed_trace_positive_projection	open	—	API reference of openfermion.fixed_trace_positive_projection, not implemented here
page:reference/python/openfermion/functionals	open	—	API reference of openfermion.functionals, not implemented here
page:reference/python/openfermion/functionals/get_one_norm	open	—	API reference of openfermion.functionals.get_one_norm, not implemented here
page:reference/python/openfermion/functionals/get_one_norm_int	open	—	API reference of openfermion.functionals.get_one_norm_int, not implemented here
page:reference/python/openfermion/functionals/get_one_norm_int_woconst	open	—	API reference of openfermion.functionals.get_one_norm_int_woconst, not implemented here
page:reference/python/openfermion/functionals/get_one_norm_mol	open	—	API reference of openfermion.functionals.get_one_norm_mol, not implemented here
page:reference/python/openfermion/functionals/get_one_norm_mol_woconst	open	—	API reference of openfermion.functionals.get_one_norm_mol_woconst, not implemented here
page:reference/python/openfermion/hamiltonians	open	—	API reference of openfermion.hamiltonians, not implemented here
page:reference/python/openfermion/hamiltonians/FermiHubbardModel	open	—	API reference of openfermion.hamiltonians.FermiHubbardModel, not implemented here
page:reference/python/openfermion/hamiltonians/HartreeFockFunctional	open	—	API reference of openfermion.hamiltonians.HartreeFockFunctional, not implemented here
page:reference/python/openfermion/hamiltonians/RichardsonGaudin	open	—	API reference of openfermion.hamiltonians.RichardsonGaudin, not implemented here
page:reference/python/openfermion/hamiltonians/bose_hubbard	open	—	API reference of openfermion.hamiltonians.bose_hubbard, not implemented here
page:reference/python/openfermion/hamiltonians/dual_basis_external_potential	open	—	API reference of openfermion.hamiltonians.dual_basis_external_potential, not implemented here
page:reference/python/openfermion/hamiltonians/dual_basis_jellium_model	open	—	API reference of openfermion.hamiltonians.dual_basis_jellium_model, not implemented here
page:reference/python/openfermion/hamiltonians/dual_basis_kinetic	open	—	API reference of openfermion.hamiltonians.dual_basis_kinetic, not implemented here
page:reference/python/openfermion/hamiltonians/dual_basis_potential	open	—	API reference of openfermion.hamiltonians.dual_basis_potential, not implemented here
page:reference/python/openfermion/hamiltonians/fermi_hubbard	open	—	API reference of openfermion.hamiltonians.fermi_hubbard, not implemented here
page:reference/python/openfermion/hamiltonians/general_hubbard	open	—	API reference of openfermion.hamiltonians.general_hubbard, not implemented here
page:reference/python/openfermion/hamiltonians/general_hubbard/InteractionParameter	open	—	API reference of openfermion.hamiltonians.general_hubbard.InteractionParameter, not implemented here
page:reference/python/openfermion/hamiltonians/general_hubbard/PotentialParameter	open	—	API reference of openfermion.hamiltonians.general_hubbard.PotentialParameter, not implemented here
page:reference/python/openfermion/hamiltonians/general_hubbard/TunnelingParameter	open	—	API reference of openfermion.hamiltonians.general_hubbard.TunnelingParameter, not implemented here
page:reference/python/openfermion/hamiltonians/general_hubbard/number_operator	open	—	API reference of openfermion.hamiltonians.general_hubbard.number_operator, not implemented here
page:reference/python/openfermion/hamiltonians/generate_hamiltonian	open	—	API reference of openfermion.hamiltonians.generate_hamiltonian, not implemented here
page:reference/python/openfermion/hamiltonians/get_matrix_of_eigs	open	—	API reference of openfermion.hamiltonians.get_matrix_of_eigs, not implemented here
page:reference/python/openfermion/hamiltonians/hartree_fock	open	—	API reference of openfermion.hamiltonians.hartree_fock, not implemented here
page:reference/python/openfermion/hamiltonians/hartree_fock/InputError	open	—	API reference of openfermion.hamiltonians.hartree_fock.InputError, not implemented here
page:reference/python/openfermion/hamiltonians/hartree_fock_state_jellium	open	—	API reference of openfermion.hamiltonians.hartree_fock_state_jellium, not implemented here
page:reference/python/openfermion/hamiltonians/hubbard	open	—	API reference of openfermion.hamiltonians.hubbard, not implemented here
page:reference/python/openfermion/hamiltonians/hypercube_grid_with_given_wigner_seitz_radius_and_filling	open	—	API reference of openfermion.hamiltonians.hypercube_grid_with_given_wigner_seitz_radius_and_filling, not implemented here
page:reference/python/openfermion/hamiltonians/interaction_operator	open	—	API reference of openfermion.hamiltonians.interaction_operator, not implemented here
page:reference/python/openfermion/hamiltonians/jellium	open	—	API reference of openfermion.hamiltonians.jellium, not implemented here
page:reference/python/openfermion/hamiltonians/jellium/coulomb_potential_momentum	open	—	API reference of openfermion.hamiltonians.jellium.coulomb_potential_momentum, not implemented here
page:reference/python/openfermion/hamiltonians/jellium_hf_state	open	—	API reference of openfermion.hamiltonians.jellium_hf_state, not implemented here
page:reference/python/openfermion/hamiltonians/jellium_model	open	—	API reference of openfermion.hamiltonians.jellium_model, not implemented here
page:reference/python/openfermion/hamiltonians/jordan_wigner_dual_basis_hamiltonian	open	—	API reference of openfermion.hamiltonians.jordan_wigner_dual_basis_hamiltonian, not implemented here
page:reference/python/openfermion/hamiltonians/jordan_wigner_dual_basis_jellium	open	—	API reference of openfermion.hamiltonians.jordan_wigner_dual_basis_jellium, not implemented here
page:reference/python/openfermion/hamiltonians/lowest_single_particle_energy_states	open	—	API reference of openfermion.hamiltonians.lowest_single_particle_energy_states, not implemented here
page:reference/python/openfermion/hamiltonians/majorana_operator	open	—	API reference of openfermion.hamiltonians.majorana_operator, not implemented here
page:reference/python/openfermion/hamiltonians/mean_field_dwave	open	—	API reference of openfermion.hamiltonians.mean_field_dwave, not implemented here
page:reference/python/openfermion/hamiltonians/number_difference_operator	open	—	API reference of openfermion.hamiltonians.number_difference_operator, not implemented here
page:reference/python/openfermion/hamiltonians/number_operator	open	—	API reference of openfermion.hamiltonians.number_operator, not implemented here
page:reference/python/openfermion/hamiltonians/plane_wave_external_potential	open	—	API reference of openfermion.hamiltonians.plane_wave_external_potential, not implemented here
page:reference/python/openfermion/hamiltonians/plane_wave_hamiltonian	open	—	API reference of openfermion.hamiltonians.plane_wave_hamiltonian, not implemented here
page:reference/python/openfermion/hamiltonians/plane_wave_kinetic	open	—	API reference of openfermion.hamiltonians.plane_wave_kinetic, not implemented here
page:reference/python/openfermion/hamiltonians/plane_wave_potential	open	—	API reference of openfermion.hamiltonians.plane_wave_potential, not implemented here
page:reference/python/openfermion/hamiltonians/rhf_func_generator	open	—	API reference of openfermion.hamiltonians.rhf_func_generator, not implemented here
page:reference/python/openfermion/hamiltonians/rhf_minimization	open	—	API reference of openfermion.hamiltonians.rhf_minimization, not implemented here
page:reference/python/openfermion/hamiltonians/rhf_params_to_matrix	open	—	API reference of openfermion.hamiltonians.rhf_params_to_matrix, not implemented here
page:reference/python/openfermion/hamiltonians/richardson_gaudin	open	—	API reference of openfermion.hamiltonians.richardson_gaudin, not implemented here
page:reference/python/openfermion/hamiltonians/s_minus_operator	open	—	API reference of openfermion.hamiltonians.s_minus_operator, not implemented here
page:reference/python/openfermion/hamiltonians/s_plus_operator	open	—	API reference of openfermion.hamiltonians.s_plus_operator, not implemented here
page:reference/python/openfermion/hamiltonians/s_squared_operator	open	—	API reference of openfermion.hamiltonians.s_squared_operator, not implemented here
page:reference/python/openfermion/hamiltonians/special_operators	open	—	API reference of openfermion.hamiltonians.special_operators, not implemented here
page:reference/python/openfermion/hamiltonians/sx_operator	open	—	API reference of openfermion.hamiltonians.sx_operator, not implemented here
page:reference/python/openfermion/hamiltonians/sy_operator	open	—	API reference of openfermion.hamiltonians.sy_operator, not implemented here
page:reference/python/openfermion/hamiltonians/sz_operator	open	—	API reference of openfermion.hamiltonians.sz_operator, not implemented here
page:reference/python/openfermion/hamiltonians/tunneling_operator	open	—	API reference of openfermion.hamiltonians.tunneling_operator, not implemented here
page:reference/python/openfermion/hamiltonians/wigner_seitz_length_scale	open	—	API reference of openfermion.hamiltonians.wigner_seitz_length_scale, not implemented here
page:reference/python/openfermion/heaviside	open	—	API reference of openfermion.heaviside, not implemented here
page:reference/python/openfermion/higham_polynomial	open	—	API reference of openfermion.higham_polynomial, not implemented here
page:reference/python/openfermion/higham_root	open	—	API reference of openfermion.higham_root, not implemented here
page:reference/python/openfermion/linalg	open	—	API reference of openfermion.linalg, not implemented here
page:reference/python/openfermion/linalg/Davidson	open	—	API reference of openfermion.linalg.Davidson, not implemented here
page:reference/python/openfermion/linalg/DavidsonError	open	—	API reference of openfermion.linalg.DavidsonError, not implemented here
page:reference/python/openfermion/linalg/DavidsonOptions	open	—	API reference of openfermion.linalg.DavidsonOptions, not implemented here
page:reference/python/openfermion/linalg/LinearQubitOperator	open	—	API reference of openfermion.linalg.LinearQubitOperator, not implemented here
page:reference/python/openfermion/linalg/LinearQubitOperatorOptions	open	—	API reference of openfermion.linalg.LinearQubitOperatorOptions, not implemented here
page:reference/python/openfermion/linalg/ParallelLinearQubitOperator	open	—	API reference of openfermion.linalg.ParallelLinearQubitOperator, not implemented here
page:reference/python/openfermion/linalg/QubitDavidson	open	—	API reference of openfermion.linalg.QubitDavidson, not implemented here
page:reference/python/openfermion/linalg/SparseDavidson	open	—	API reference of openfermion.linalg.SparseDavidson, not implemented here
page:reference/python/openfermion/linalg/append_random_vectors	open	—	API reference of openfermion.linalg.append_random_vectors, not implemented here
page:reference/python/openfermion/linalg/boson_ladder_sparse	open	—	API reference of openfermion.linalg.boson_ladder_sparse, not implemented here
page:reference/python/openfermion/linalg/boson_operator_sparse	open	—	API reference of openfermion.linalg.boson_operator_sparse, not implemented here
page:reference/python/openfermion/linalg/davidson	open	—	API reference of openfermion.linalg.davidson, not implemented here
page:reference/python/openfermion/linalg/double_givens_rotate	open	—	API reference of openfermion.linalg.double_givens_rotate, not implemented here
page:reference/python/openfermion/linalg/eigenspectrum	open	—	API reference of openfermion.linalg.eigenspectrum, not implemented here
page:reference/python/openfermion/linalg/erpa	open	—	API reference of openfermion.linalg.erpa, not implemented here
page:reference/python/openfermion/linalg/erpa/einsum	open	—	API reference of openfermion.linalg.erpa.einsum, not implemented here
page:reference/python/openfermion/linalg/erpa_eom_hamiltonian	open	—	API reference of openfermion.linalg.erpa_eom_hamiltonian, not implemented here
page:reference/python/openfermion/linalg/expectation	open	—	API reference of openfermion.linalg.expectation, not implemented here
page:reference/python/openfermion/linalg/expectation_computational_basis_state	open	—	API reference of openfermion.linalg.expectation_computational_basis_state, not implemented here
page:reference/python/openfermion/linalg/expectation_db_operator_with_pw_basis_state	open	—	API reference of openfermion.linalg.expectation_db_operator_with_pw_basis_state, not implemented here
page:reference/python/openfermion/linalg/expectation_one_body_db_operator_computational_basis_state	open	—	API reference of openfermion.linalg.expectation_one_body_db_operator_computational_basis_state, not implemented here
page:reference/python/openfermion/linalg/expectation_three_body_db_operator_computational_basis_state	open	—	API reference of openfermion.linalg.expectation_three_body_db_operator_computational_basis_state, not implemented here
page:reference/python/openfermion/linalg/expectation_two_body_db_operator_computational_basis_state	open	—	API reference of openfermion.linalg.expectation_two_body_db_operator_computational_basis_state, not implemented here
page:reference/python/openfermion/linalg/fermionic_gaussian_decomposition	open	—	API reference of openfermion.linalg.fermionic_gaussian_decomposition, not implemented here
page:reference/python/openfermion/linalg/fit_known_frequencies	open	—	API reference of openfermion.linalg.fit_known_frequencies, not implemented here
page:reference/python/openfermion/linalg/generate_linear_qubit_operator	open	—	API reference of openfermion.linalg.generate_linear_qubit_operator, not implemented here
page:reference/python/openfermion/linalg/generate_parity_permutations	open	—	API reference of openfermion.linalg.generate_parity_permutations, not implemented here
page:reference/python/openfermion/linalg/generate_random_vectors	open	—	API reference of openfermion.linalg.generate_random_vectors, not implemented here
page:reference/python/openfermion/linalg/get_density_matrix	open	—	API reference of openfermion.linalg.get_density_matrix, not implemented here
page:reference/python/openfermion/linalg/get_gap	open	—	API reference of openfermion.linalg.get_gap, not implemented here
page:reference/python/openfermion/linalg/get_ground_state	open	—	API reference of openfermion.linalg.get_ground_state, not implemented here
page:reference/python/openfermion/linalg/get_linear_qubit_operator_diagonal	open	—	API reference of openfermion.linalg.get_linear_qubit_operator_diagonal, not implemented here
page:reference/python/openfermion/linalg/get_number_preserving_sparse_operator	open	—	API reference of openfermion.linalg.get_number_preserving_sparse_operator, not implemented here
page:reference/python/openfermion/linalg/get_sparse_operator	open	—	API reference of openfermion.linalg.get_sparse_operator, not implemented here
page:reference/python/openfermion/linalg/givens_decomposition	open	—	API reference of openfermion.linalg.givens_decomposition, not implemented here
page:reference/python/openfermion/linalg/givens_decomposition_square	open	—	API reference of openfermion.linalg.givens_decomposition_square, not implemented here
page:reference/python/openfermion/linalg/givens_matrix_elements	open	—	API reference of openfermion.linalg.givens_matrix_elements, not implemented here
page:reference/python/openfermion/linalg/givens_rotate	open	—	API reference of openfermion.linalg.givens_rotate, not implemented here
page:reference/python/openfermion/linalg/givens_rotations	open	—	API reference of openfermion.linalg.givens_rotations, not implemented here
page:reference/python/openfermion/linalg/inner_product	open	—	API reference of openfermion.linalg.inner_product, not implemented here
page:reference/python/openfermion/linalg/jordan_wigner_ladder_sparse	open	—	API reference of openfermion.linalg.jordan_wigner_ladder_sparse, not implemented here
page:reference/python/openfermion/linalg/jordan_wigner_sparse	open	—	API reference of openfermion.linalg.jordan_wigner_sparse, not implemented here
page:reference/python/openfermion/linalg/jw_configuration_state	open	—	API reference of openfermion.linalg.jw_configuration_state, not implemented here
page:reference/python/openfermion/linalg/jw_get_ground_state_at_particle_number	open	—	API reference of openfermion.linalg.jw_get_ground_state_at_particle_number, not implemented here
page:reference/python/openfermion/linalg/jw_hartree_fock_state	open	—	API reference of openfermion.linalg.jw_hartree_fock_state, not implemented here
page:reference/python/openfermion/linalg/jw_number_indices	open	—	API reference of openfermion.linalg.jw_number_indices, not implemented here
page:reference/python/openfermion/linalg/jw_number_restrict_operator	open	—	API reference of openfermion.linalg.jw_number_restrict_operator, not implemented here
page:reference/python/openfermion/linalg/jw_number_restrict_state	open	—	API reference of openfermion.linalg.jw_number_restrict_state, not implemented here
page:reference/python/openfermion/linalg/jw_sparse_givens_rotation	open	—	API reference of openfermion.linalg.jw_sparse_givens_rotation, not implemented here
page:reference/python/openfermion/linalg/jw_sparse_particle_hole_transformation_last_mode	open	—	API reference of openfermion.linalg.jw_sparse_particle_hole_transformation_last_mode, not implemented here
page:reference/python/openfermion/linalg/jw_sz_indices	open	—	API reference of openfermion.linalg.jw_sz_indices, not implemented here
page:reference/python/openfermion/linalg/jw_sz_restrict_operator	open	—	API reference of openfermion.linalg.jw_sz_restrict_operator, not implemented here
page:reference/python/openfermion/linalg/jw_sz_restrict_state	open	—	API reference of openfermion.linalg.jw_sz_restrict_state, not implemented here
page:reference/python/openfermion/linalg/kronecker_operators	open	—	API reference of openfermion.linalg.kronecker_operators, not implemented here
page:reference/python/openfermion/linalg/linear_qubit_operator	open	—	API reference of openfermion.linalg.linear_qubit_operator, not implemented here
page:reference/python/openfermion/linalg/linear_qubit_operator/apply_operator	open	—	API reference of openfermion.linalg.linear_qubit_operator.apply_operator, not implemented here
page:reference/python/openfermion/linalg/orthonormalize	open	—	API reference of openfermion.linalg.orthonormalize, not implemented here
page:reference/python/openfermion/linalg/prony	open	—	API reference of openfermion.linalg.prony, not implemented here
page:reference/python/openfermion/linalg/qubit_operator_sparse	open	—	API reference of openfermion.linalg.qubit_operator_sparse, not implemented here
page:reference/python/openfermion/linalg/rdm_reconstruction	open	—	API reference of openfermion.linalg.rdm_reconstruction, not implemented here
page:reference/python/openfermion/linalg/single_quad_op_sparse	open	—	API reference of openfermion.linalg.single_quad_op_sparse, not implemented here
page:reference/python/openfermion/linalg/singlet_erpa	open	—	API reference of openfermion.linalg.singlet_erpa, not implemented here
page:reference/python/openfermion/linalg/sparse_eigenspectrum	open	—	API reference of openfermion.linalg.sparse_eigenspectrum, not implemented here
page:reference/python/openfermion/linalg/sparse_tools	open	—	API reference of openfermion.linalg.sparse_tools, not implemented here
page:reference/python/openfermion/linalg/sparse_tools/reduce	open	—	API reference of openfermion.linalg.sparse_tools.reduce, not implemented here
page:reference/python/openfermion/linalg/swap_columns	open	—	API reference of openfermion.linalg.swap_columns, not implemented here
page:reference/python/openfermion/linalg/swap_rows	open	—	API reference of openfermion.linalg.swap_rows, not implemented here
page:reference/python/openfermion/linalg/valdemoro_reconstruction	open	—	API reference of openfermion.linalg.valdemoro_reconstruction, not implemented here
page:reference/python/openfermion/linalg/variance	open	—	API reference of openfermion.linalg.variance, not implemented here
page:reference/python/openfermion/linalg/wave_fitting	open	—	API reference of openfermion.linalg.wave_fitting, not implemented here
page:reference/python/openfermion/linalg/wedge	open	—	API reference of openfermion.linalg.wedge, not implemented here
page:reference/python/openfermion/linalg/wedge_product	open	—	API reference of openfermion.linalg.wedge_product, not implemented here
page:reference/python/openfermion/linalg/wedge_product/factorial	open	—	API reference of openfermion.linalg.wedge_product.factorial, not implemented here
page:reference/python/openfermion/linalg/wrapped_kronecker	open	—	API reference of openfermion.linalg.wrapped_kronecker, not implemented here
page:reference/python/openfermion/map_to_matrix	open	—	API reference of openfermion.map_to_matrix, not implemented here
page:reference/python/openfermion/map_to_tensor	open	—	API reference of openfermion.map_to_tensor, not implemented here
page:reference/python/openfermion/measurements	open	—	API reference of openfermion.measurements, not implemented here
page:reference/python/openfermion/measurements/PhaseFitEstimator	open	—	API reference of openfermion.measurements.PhaseFitEstimator, not implemented here
page:reference/python/openfermion/measurements/apply_constraints	open	—	API reference of openfermion.measurements.apply_constraints, not implemented here
page:reference/python/openfermion/measurements/binary_partition_iterator	open	—	API reference of openfermion.measurements.binary_partition_iterator, not implemented here
page:reference/python/openfermion/measurements/constraint_matrix	open	—	API reference of openfermion.measurements.constraint_matrix, not implemented here
page:reference/python/openfermion/measurements/equality_constraint_projection	open	—	API reference of openfermion.measurements.equality_constraint_projection, not implemented here
page:reference/python/openfermion/measurements/fermion_partitioning	open	—	API reference of openfermion.measurements.fermion_partitioning, not implemented here
page:reference/python/openfermion/measurements/fermion_partitioning/Pairing	open	—	API reference of openfermion.measurements.fermion_partitioning.Pairing, not implemented here
page:reference/python/openfermion/measurements/get_interaction_rdm	open	—	API reference of openfermion.measurements.get_interaction_rdm, not implemented here
page:reference/python/openfermion/measurements/get_phase_function	open	—	API reference of openfermion.measurements.get_phase_function, not implemented here
page:reference/python/openfermion/measurements/group_into_tensor_product_basis_sets	open	—	API reference of openfermion.measurements.group_into_tensor_product_basis_sets, not implemented here
page:reference/python/openfermion/measurements/linearize_term	open	—	API reference of openfermion.measurements.linearize_term, not implemented here
page:reference/python/openfermion/measurements/one_body_fermion_constraints	open	—	API reference of openfermion.measurements.one_body_fermion_constraints, not implemented here
page:reference/python/openfermion/measurements/operator_to_vector	open	—	API reference of openfermion.measurements.operator_to_vector, not implemented here
page:reference/python/openfermion/measurements/pair_between	open	—	API reference of openfermion.measurements.pair_between, not implemented here
page:reference/python/openfermion/measurements/pair_within	open	—	API reference of openfermion.measurements.pair_within, not implemented here
page:reference/python/openfermion/measurements/pair_within_simultaneously	open	—	API reference of openfermion.measurements.pair_within_simultaneously, not implemented here
page:reference/python/openfermion/measurements/pair_within_simultaneously_binned	open	—	API reference of openfermion.measurements.pair_within_simultaneously_binned, not implemented here
page:reference/python/openfermion/measurements/pair_within_simultaneously_symmetric	open	—	API reference of openfermion.measurements.pair_within_simultaneously_symmetric, not implemented here
page:reference/python/openfermion/measurements/partition_iterator	open	—	API reference of openfermion.measurements.partition_iterator, not implemented here
page:reference/python/openfermion/measurements/pauli_string_iterator	open	—	API reference of openfermion.measurements.pauli_string_iterator, not implemented here
page:reference/python/openfermion/measurements/qubit_partitioning	open	—	API reference of openfermion.measurements.qubit_partitioning, not implemented here
page:reference/python/openfermion/measurements/rdm_equality_constraints	open	—	API reference of openfermion.measurements.rdm_equality_constraints, not implemented here
page:reference/python/openfermion/measurements/two_body_fermion_constraints	open	—	API reference of openfermion.measurements.two_body_fermion_constraints, not implemented here
page:reference/python/openfermion/measurements/unlinearize_term	open	—	API reference of openfermion.measurements.unlinearize_term, not implemented here
page:reference/python/openfermion/measurements/vector_to_operator	open	—	API reference of openfermion.measurements.vector_to_operator, not implemented here
page:reference/python/openfermion/measurements/vpe_estimators	open	—	API reference of openfermion.measurements.vpe_estimators, not implemented here
page:reference/python/openfermion/ops	open	—	API reference of openfermion.ops, not implemented here
page:reference/python/openfermion/ops/BinaryCode	open	—	API reference of openfermion.ops.BinaryCode, not implemented here
page:reference/python/openfermion/ops/BinaryCodeError	open	—	API reference of openfermion.ops.BinaryCodeError, not implemented here
page:reference/python/openfermion/ops/BinaryPolynomial	open	—	API reference of openfermion.ops.BinaryPolynomial, not implemented here
page:reference/python/openfermion/ops/BinaryPolynomialError	open	—	API reference of openfermion.ops.BinaryPolynomialError, not implemented here
page:reference/python/openfermion/ops/BosonOperator	open	—	API reference of openfermion.ops.BosonOperator, not implemented here
page:reference/python/openfermion/ops/DOCIHamiltonian	open	—	API reference of openfermion.ops.DOCIHamiltonian, not implemented here
page:reference/python/openfermion/ops/DiagonalCoulombHamiltonian	open	—	API reference of openfermion.ops.DiagonalCoulombHamiltonian, not implemented here
page:reference/python/openfermion/ops/FermionOperator	open	—	API reference of openfermion.ops.FermionOperator, not implemented here
page:reference/python/openfermion/ops/InteractionOperator	open	—	API reference of openfermion.ops.InteractionOperator, not implemented here
page:reference/python/openfermion/ops/InteractionOperatorError	open	—	API reference of openfermion.ops.InteractionOperatorError, not implemented here
page:reference/python/openfermion/ops/InteractionRDM	open	—	API reference of openfermion.ops.InteractionRDM, not implemented here
page:reference/python/openfermion/ops/InteractionRDMError	open	—	API reference of openfermion.ops.InteractionRDMError, not implemented here
page:reference/python/openfermion/ops/IsingOperator	open	—	API reference of openfermion.ops.IsingOperator, not implemented here
page:reference/python/openfermion/ops/MajoranaOperator	open	—	API reference of openfermion.ops.MajoranaOperator, not implemented here
page:reference/python/openfermion/ops/PolynomialTensor	open	—	API reference of openfermion.ops.PolynomialTensor, not implemented here
page:reference/python/openfermion/ops/PolynomialTensorError	open	—	API reference of openfermion.ops.PolynomialTensorError, not implemented here
page:reference/python/openfermion/ops/QuadOperator	open	—	API reference of openfermion.ops.QuadOperator, not implemented here
page:reference/python/openfermion/ops/QuadraticHamiltonian	open	—	API reference of openfermion.ops.QuadraticHamiltonian, not implemented here
page:reference/python/openfermion/ops/QuadraticHamiltonianError	open	—	API reference of openfermion.ops.QuadraticHamiltonianError, not implemented here
page:reference/python/openfermion/ops/QubitOperator	partial	chemistry-simulation	API reference of openfermion.ops.QubitOperator; for H₂ in STO-3G its content (the integrals, the Pauli-term Hamiltonian) is computed here
page:reference/python/openfermion/ops/SymbolicOperator	open	—	API reference of openfermion.ops.SymbolicOperator, not implemented here
page:reference/python/openfermion/ops/antisymmetric_canonical_form	open	—	API reference of openfermion.ops.antisymmetric_canonical_form, not implemented here
page:reference/python/openfermion/ops/double_decoding	open	—	API reference of openfermion.ops.double_decoding, not implemented here
page:reference/python/openfermion/ops/general_basis_change	open	—	API reference of openfermion.ops.general_basis_change, not implemented here
page:reference/python/openfermion/ops/operators	open	—	API reference of openfermion.ops.operators, not implemented here
page:reference/python/openfermion/ops/operators/binary_code	open	—	API reference of openfermion.ops.operators.binary_code, not implemented here
page:reference/python/openfermion/ops/operators/binary_polynomial	open	—	API reference of openfermion.ops.operators.binary_polynomial, not implemented here
page:reference/python/openfermion/ops/operators/binary_sum_rule	open	—	API reference of openfermion.ops.operators.binary_sum_rule, not implemented here
page:reference/python/openfermion/ops/operators/boson_operator	open	—	API reference of openfermion.ops.operators.boson_operator, not implemented here
page:reference/python/openfermion/ops/operators/fermion_operator	open	—	API reference of openfermion.ops.operators.fermion_operator, not implemented here
page:reference/python/openfermion/ops/operators/ising_operator	open	—	API reference of openfermion.ops.operators.ising_operator, not implemented here
page:reference/python/openfermion/ops/operators/majorana_operator	open	—	API reference of openfermion.ops.operators.majorana_operator, not implemented here
page:reference/python/openfermion/ops/operators/quad_operator	open	—	API reference of openfermion.ops.operators.quad_operator, not implemented here
page:reference/python/openfermion/ops/operators/qubit_operator	open	—	API reference of openfermion.ops.operators.qubit_operator, not implemented here
page:reference/python/openfermion/ops/operators/symbolic_operator	open	—	API reference of openfermion.ops.operators.symbolic_operator, not implemented here
page:reference/python/openfermion/ops/representations	open	—	API reference of openfermion.ops.representations, not implemented here
page:reference/python/openfermion/ops/representations/diagonal_coulomb_hamiltonian	open	—	API reference of openfermion.ops.representations.diagonal_coulomb_hamiltonian, not implemented here
page:reference/python/openfermion/ops/representations/doci_hamiltonian	open	—	API reference of openfermion.ops.representations.doci_hamiltonian, not implemented here
page:reference/python/openfermion/ops/representations/doci_hamiltonian/get_doci_from_integrals	open	—	API reference of openfermion.ops.representations.doci_hamiltonian.get_doci_from_integrals, not implemented here
page:reference/python/openfermion/ops/representations/doci_hamiltonian/get_projected_integrals_from_doci	open	—	API reference of openfermion.ops.representations.doci_hamiltonian.get_projected_integrals_from_doci, not implemented here
page:reference/python/openfermion/ops/representations/doci_hamiltonian/get_tensors_from_doci	open	—	API reference of openfermion.ops.representations.doci_hamiltonian.get_tensors_from_doci, not implemented here
page:reference/python/openfermion/ops/representations/get_active_space_integrals	open	—	API reference of openfermion.ops.representations.get_active_space_integrals, not implemented here
page:reference/python/openfermion/ops/representations/get_tensors_from_integrals	open	—	API reference of openfermion.ops.representations.get_tensors_from_integrals, not implemented here
page:reference/python/openfermion/ops/representations/interaction_operator	open	—	API reference of openfermion.ops.representations.interaction_operator, not implemented here
page:reference/python/openfermion/ops/representations/interaction_rdm	open	—	API reference of openfermion.ops.representations.interaction_rdm, not implemented here
page:reference/python/openfermion/ops/representations/polynomial_tensor	open	—	API reference of openfermion.ops.representations.polynomial_tensor, not implemented here
page:reference/python/openfermion/ops/representations/quadratic_hamiltonian	open	—	API reference of openfermion.ops.representations.quadratic_hamiltonian, not implemented here
page:reference/python/openfermion/ops/shift_decoder	open	—	API reference of openfermion.ops.shift_decoder, not implemented here
page:reference/python/openfermion/testing	open	—	API reference of openfermion.testing, not implemented here
page:reference/python/openfermion/testing/EqualsTester	open	—	API reference of openfermion.testing.EqualsTester, not implemented here
page:reference/python/openfermion/testing/assert_equivalent_repr	open	—	API reference of openfermion.testing.assert_equivalent_repr, not implemented here
page:reference/python/openfermion/testing/assert_implements_consistent_protocols	open	—	API reference of openfermion.testing.assert_implements_consistent_protocols, not implemented here
page:reference/python/openfermion/testing/circuit_validation	open	—	API reference of openfermion.testing.circuit_validation, not implemented here
page:reference/python/openfermion/testing/haar_random_vector	open	—	API reference of openfermion.testing.haar_random_vector, not implemented here
page:reference/python/openfermion/testing/module_importable	open	—	API reference of openfermion.testing.module_importable, not implemented here
page:reference/python/openfermion/testing/random	open	—	API reference of openfermion.testing.random, not implemented here
page:reference/python/openfermion/testing/random_antisymmetric_matrix	open	—	API reference of openfermion.testing.random_antisymmetric_matrix, not implemented here
page:reference/python/openfermion/testing/random_diagonal_coulomb_hamiltonian	open	—	API reference of openfermion.testing.random_diagonal_coulomb_hamiltonian, not implemented here
page:reference/python/openfermion/testing/random_hermitian_matrix	open	—	API reference of openfermion.testing.random_hermitian_matrix, not implemented here
page:reference/python/openfermion/testing/random_interaction_operator	open	—	API reference of openfermion.testing.random_interaction_operator, not implemented here
page:reference/python/openfermion/testing/random_interaction_operator_term	open	—	API reference of openfermion.testing.random_interaction_operator_term, not implemented here
page:reference/python/openfermion/testing/random_quadratic_hamiltonian	open	—	API reference of openfermion.testing.random_quadratic_hamiltonian, not implemented here
page:reference/python/openfermion/testing/random_qubit_operator	open	—	API reference of openfermion.testing.random_qubit_operator, not implemented here
page:reference/python/openfermion/testing/random_unitary_matrix	open	—	API reference of openfermion.testing.random_unitary_matrix, not implemented here
page:reference/python/openfermion/testing/retry_once_with_later_random_values	open	—	API reference of openfermion.testing.retry_once_with_later_random_values, not implemented here
page:reference/python/openfermion/testing/testing_utils	open	—	API reference of openfermion.testing.testing_utils, not implemented here
page:reference/python/openfermion/testing/validate_trotterized_evolution	open	—	API reference of openfermion.testing.validate_trotterized_evolution, not implemented here
page:reference/python/openfermion/testing/wrapped	open	—	API reference of openfermion.testing.wrapped, not implemented here
page:reference/python/openfermion/transforms	open	—	API reference of openfermion.transforms, not implemented here
page:reference/python/openfermion/transforms/FenwickNode	open	—	API reference of openfermion.transforms.FenwickNode, not implemented here
page:reference/python/openfermion/transforms/FenwickTree	open	—	API reference of openfermion.transforms.FenwickTree, not implemented here
page:reference/python/openfermion/transforms/StabilizerError	open	—	API reference of openfermion.transforms.StabilizerError, not implemented here
page:reference/python/openfermion/transforms/binary_code_transform	open	—	API reference of openfermion.transforms.binary_code_transform, not implemented here
page:reference/python/openfermion/transforms/bravyi_kitaev	open	—	API reference of openfermion.transforms.bravyi_kitaev, not implemented here
page:reference/python/openfermion/transforms/bravyi_kitaev_code	open	—	API reference of openfermion.transforms.bravyi_kitaev_code, not implemented here
page:reference/python/openfermion/transforms/bravyi_kitaev_fast	open	—	API reference of openfermion.transforms.bravyi_kitaev_fast, not implemented here
page:reference/python/openfermion/transforms/bravyi_kitaev_fast_edge_matrix	open	—	API reference of openfermion.transforms.bravyi_kitaev_fast_edge_matrix, not implemented here
page:reference/python/openfermion/transforms/bravyi_kitaev_fast_interaction_op	open	—	API reference of openfermion.transforms.bravyi_kitaev_fast_interaction_op, not implemented here
page:reference/python/openfermion/transforms/bravyi_kitaev_tree	open	—	API reference of openfermion.transforms.bravyi_kitaev_tree, not implemented here
page:reference/python/openfermion/transforms/check_commuting_stabilizers	open	—	API reference of openfermion.transforms.check_commuting_stabilizers, not implemented here
page:reference/python/openfermion/transforms/check_no_sympy	open	—	API reference of openfermion.transforms.check_no_sympy, not implemented here
page:reference/python/openfermion/transforms/check_stabilizer_linearity	open	—	API reference of openfermion.transforms.check_stabilizer_linearity, not implemented here
page:reference/python/openfermion/transforms/checksum_code	open	—	API reference of openfermion.transforms.checksum_code, not implemented here
page:reference/python/openfermion/transforms/chemist_ordered	open	—	API reference of openfermion.transforms.chemist_ordered, not implemented here
page:reference/python/openfermion/transforms/commutator_ordered_diagonal_coulomb_with_two_body_operator	open	—	API reference of openfermion.transforms.commutator_ordered_diagonal_coulomb_with_two_body_operator, not implemented here
page:reference/python/openfermion/transforms/fix_single_term	open	—	API reference of openfermion.transforms.fix_single_term, not implemented here
page:reference/python/openfermion/transforms/fourier_transform	open	—	API reference of openfermion.transforms.fourier_transform, not implemented here
page:reference/python/openfermion/transforms/freeze_orbitals	open	—	API reference of openfermion.transforms.freeze_orbitals, not implemented here
page:reference/python/openfermion/transforms/get_boson_operator	open	—	API reference of openfermion.transforms.get_boson_operator, not implemented here
page:reference/python/openfermion/transforms/get_diagonal_coulomb_hamiltonian	open	—	API reference of openfermion.transforms.get_diagonal_coulomb_hamiltonian, not implemented here
page:reference/python/openfermion/transforms/get_fermion_operator	open	—	API reference of openfermion.transforms.get_fermion_operator, not implemented here
page:reference/python/openfermion/transforms/get_interaction_operator	open	—	API reference of openfermion.transforms.get_interaction_operator, not implemented here
page:reference/python/openfermion/transforms/get_majorana_operator	open	—	API reference of openfermion.transforms.get_majorana_operator, not implemented here
page:reference/python/openfermion/transforms/get_molecular_data	open	—	API reference of openfermion.transforms.get_molecular_data, not implemented here
page:reference/python/openfermion/transforms/get_quad_operator	open	—	API reference of openfermion.transforms.get_quad_operator, not implemented here
page:reference/python/openfermion/transforms/get_quadratic_hamiltonian	open	—	API reference of openfermion.transforms.get_quadratic_hamiltonian, not implemented here
page:reference/python/openfermion/transforms/interleaved_code	open	—	API reference of openfermion.transforms.interleaved_code, not implemented here
page:reference/python/openfermion/transforms/inverse_fourier_transform	open	—	API reference of openfermion.transforms.inverse_fourier_transform, not implemented here
page:reference/python/openfermion/transforms/jordan_wigner	open	—	API reference of openfermion.transforms.jordan_wigner, not implemented here
page:reference/python/openfermion/transforms/jordan_wigner_code	open	—	API reference of openfermion.transforms.jordan_wigner_code, not implemented here
page:reference/python/openfermion/transforms/jordan_wigner_one_body	open	—	API reference of openfermion.transforms.jordan_wigner_one_body, not implemented here
page:reference/python/openfermion/transforms/jordan_wigner_two_body	open	—	API reference of openfermion.transforms.jordan_wigner_two_body, not implemented here
page:reference/python/openfermion/transforms/linearize_decoder	open	—	API reference of openfermion.transforms.linearize_decoder, not implemented here
page:reference/python/openfermion/transforms/mccoy	open	—	API reference of openfermion.transforms.mccoy, not implemented here
page:reference/python/openfermion/transforms/normal_ordered	open	—	API reference of openfermion.transforms.normal_ordered, not implemented here
page:reference/python/openfermion/transforms/normal_ordered_ladder_term	open	—	API reference of openfermion.transforms.normal_ordered_ladder_term, not implemented here
page:reference/python/openfermion/transforms/normal_ordered_quad_term	open	—	API reference of openfermion.transforms.normal_ordered_quad_term, not implemented here
page:reference/python/openfermion/transforms/opconversions	open	—	API reference of openfermion.transforms.opconversions, not implemented here
page:reference/python/openfermion/transforms/opconversions/binary_codes	open	—	API reference of openfermion.transforms.opconversions.binary_codes, not implemented here
page:reference/python/openfermion/transforms/opconversions/bksf	open	—	API reference of openfermion.transforms.opconversions.bksf, not implemented here
page:reference/python/openfermion/transforms/opconversions/commutator_diagonal_coulomb_operator	open	—	API reference of openfermion.transforms.opconversions.commutator_diagonal_coulomb_operator, not implemented here
page:reference/python/openfermion/transforms/opconversions/conversions	open	—	API reference of openfermion.transforms.opconversions.conversions, not implemented here
page:reference/python/openfermion/transforms/opconversions/dissolve	open	—	API reference of openfermion.transforms.opconversions.dissolve, not implemented here
page:reference/python/openfermion/transforms/opconversions/edge_operator_aij	open	—	API reference of openfermion.transforms.opconversions.edge_operator_aij, not implemented here
page:reference/python/openfermion/transforms/opconversions/edge_operator_b	open	—	API reference of openfermion.transforms.opconversions.edge_operator_b, not implemented here
page:reference/python/openfermion/transforms/opconversions/edit_hamiltonian_for_spin	open	—	API reference of openfermion.transforms.opconversions.edit_hamiltonian_for_spin, not implemented here
page:reference/python/openfermion/transforms/opconversions/extractor	open	—	API reference of openfermion.transforms.opconversions.extractor, not implemented here
page:reference/python/openfermion/transforms/opconversions/fenwick_tree	open	—	API reference of openfermion.transforms.opconversions.fenwick_tree, not implemented here
page:reference/python/openfermion/transforms/opconversions/generate_fermions	open	—	API reference of openfermion.transforms.opconversions.generate_fermions, not implemented here
page:reference/python/openfermion/transforms/opconversions/inline_product	open	—	API reference of openfermion.transforms.opconversions.inline_product, not implemented here
page:reference/python/openfermion/transforms/opconversions/inline_sum	open	—	API reference of openfermion.transforms.opconversions.inline_sum, not implemented here
page:reference/python/openfermion/transforms/opconversions/make_parity_list	open	—	API reference of openfermion.transforms.opconversions.make_parity_list, not implemented here
page:reference/python/openfermion/transforms/opconversions/number_operator	open	—	API reference of openfermion.transforms.opconversions.number_operator, not implemented here
page:reference/python/openfermion/transforms/opconversions/qubitoperator_to_paulisum	open	—	API reference of openfermion.transforms.opconversions.qubitoperator_to_paulisum, not implemented here
page:reference/python/openfermion/transforms/opconversions/remove_symmetry_qubits	open	—	API reference of openfermion.transforms.opconversions.remove_symmetry_qubits, not implemented here
page:reference/python/openfermion/transforms/opconversions/remove_symmetry_qubits/remove_indices	open	—	API reference of openfermion.transforms.opconversions.remove_symmetry_qubits.remove_indices, not implemented here
page:reference/python/openfermion/transforms/opconversions/term_reordering	open	—	API reference of openfermion.transforms.opconversions.term_reordering, not implemented here
page:reference/python/openfermion/transforms/opconversions/vacuum_operator	open	—	API reference of openfermion.transforms.opconversions.vacuum_operator, not implemented here
page:reference/python/openfermion/transforms/opconversions/verstraete_cirac	open	—	API reference of openfermion.transforms.opconversions.verstraete_cirac, not implemented here
page:reference/python/openfermion/transforms/opconversions/verstraete_cirac/auxiliary_graph_2d_square	open	—	API reference of openfermion.transforms.opconversions.verstraete_cirac.auxiliary_graph_2d_square, not implemented here
page:reference/python/openfermion/transforms/opconversions/verstraete_cirac/coordinates_to_snake_index	open	—	API reference of openfermion.transforms.opconversions.verstraete_cirac.coordinates_to_snake_index, not implemented here
page:reference/python/openfermion/transforms/opconversions/verstraete_cirac/expand_aux_index	open	—	API reference of openfermion.transforms.opconversions.verstraete_cirac.expand_aux_index, not implemented here
page:reference/python/openfermion/transforms/opconversions/verstraete_cirac/expand_sys_index	open	—	API reference of openfermion.transforms.opconversions.verstraete_cirac.expand_sys_index, not implemented here
page:reference/python/openfermion/transforms/opconversions/verstraete_cirac/lexicographic_index_to_snake_index	open	—	API reference of openfermion.transforms.opconversions.verstraete_cirac.lexicographic_index_to_snake_index, not implemented here
page:reference/python/openfermion/transforms/opconversions/verstraete_cirac/row_indices_snake	open	—	API reference of openfermion.transforms.opconversions.verstraete_cirac.row_indices_snake, not implemented here
page:reference/python/openfermion/transforms/opconversions/verstraete_cirac/snake_index_to_coordinates	open	—	API reference of openfermion.transforms.opconversions.verstraete_cirac.snake_index_to_coordinates, not implemented here
page:reference/python/openfermion/transforms/opconversions/verstraete_cirac/stabilizer	open	—	API reference of openfermion.transforms.opconversions.verstraete_cirac.stabilizer, not implemented here
page:reference/python/openfermion/transforms/opconversions/verstraete_cirac/stabilizer_local_2d_square	open	—	API reference of openfermion.transforms.opconversions.verstraete_cirac.stabilizer_local_2d_square, not implemented here
page:reference/python/openfermion/transforms/parity_code	open	—	API reference of openfermion.transforms.parity_code, not implemented here
page:reference/python/openfermion/transforms/project_onto_sector	open	—	API reference of openfermion.transforms.project_onto_sector, not implemented here
page:reference/python/openfermion/transforms/projection_error	open	—	API reference of openfermion.transforms.projection_error, not implemented here
page:reference/python/openfermion/transforms/prune_unused_indices	open	—	API reference of openfermion.transforms.prune_unused_indices, not implemented here
page:reference/python/openfermion/transforms/qubit_operator_to_pauli_sum	open	—	API reference of openfermion.transforms.qubit_operator_to_pauli_sum, not implemented here
page:reference/python/openfermion/transforms/reduce_number_of_terms	open	—	API reference of openfermion.transforms.reduce_number_of_terms, not implemented here
page:reference/python/openfermion/transforms/reorder	open	—	API reference of openfermion.transforms.reorder, not implemented here
page:reference/python/openfermion/transforms/repconversions	open	—	API reference of openfermion.transforms.repconversions, not implemented here
page:reference/python/openfermion/transforms/repconversions/conversions	open	—	API reference of openfermion.transforms.repconversions.conversions, not implemented here
page:reference/python/openfermion/transforms/repconversions/fourier_transforms	open	—	API reference of openfermion.transforms.repconversions.fourier_transforms, not implemented here
page:reference/python/openfermion/transforms/repconversions/operator_tapering	open	—	API reference of openfermion.transforms.repconversions.operator_tapering, not implemented here
page:reference/python/openfermion/transforms/repconversions/qubit_operator_transforms	open	—	API reference of openfermion.transforms.repconversions.qubit_operator_transforms, not implemented here
page:reference/python/openfermion/transforms/repconversions/qubit_tapering_from_stabilizer	open	—	API reference of openfermion.transforms.repconversions.qubit_tapering_from_stabilizer, not implemented here
page:reference/python/openfermion/transforms/repconversions/weyl_ordering	open	—	API reference of openfermion.transforms.repconversions.weyl_ordering, not implemented here
page:reference/python/openfermion/transforms/repconversions/weyl_ordering/binom	open	—	API reference of openfermion.transforms.repconversions.weyl_ordering.binom, not implemented here
page:reference/python/openfermion/transforms/reverse_jordan_wigner	open	—	API reference of openfermion.transforms.reverse_jordan_wigner, not implemented here
page:reference/python/openfermion/transforms/rotate_qubit_by_pauli	open	—	API reference of openfermion.transforms.rotate_qubit_by_pauli, not implemented here
page:reference/python/openfermion/transforms/symmetric_ordering	open	—	API reference of openfermion.transforms.symmetric_ordering, not implemented here
page:reference/python/openfermion/transforms/symmetry_conserving_bravyi_kitaev	open	—	API reference of openfermion.transforms.symmetry_conserving_bravyi_kitaev, not implemented here
page:reference/python/openfermion/transforms/taper_off_qubits	open	—	API reference of openfermion.transforms.taper_off_qubits, not implemented here
page:reference/python/openfermion/transforms/verstraete_cirac_2d_square	open	—	API reference of openfermion.transforms.verstraete_cirac_2d_square, not implemented here
page:reference/python/openfermion/transforms/vertical_edges_snake	open	—	API reference of openfermion.transforms.vertical_edges_snake, not implemented here
page:reference/python/openfermion/transforms/weight_one_binary_addressing_code	open	—	API reference of openfermion.transforms.weight_one_binary_addressing_code, not implemented here
page:reference/python/openfermion/transforms/weight_one_segment_code	open	—	API reference of openfermion.transforms.weight_one_segment_code, not implemented here
page:reference/python/openfermion/transforms/weight_two_segment_code	open	—	API reference of openfermion.transforms.weight_two_segment_code, not implemented here
page:reference/python/openfermion/transforms/weyl_polynomial_quantization	open	—	API reference of openfermion.transforms.weyl_polynomial_quantization, not implemented here
page:reference/python/openfermion/utils	open	—	API reference of openfermion.utils, not implemented here
page:reference/python/openfermion/utils/Grid	open	—	API reference of openfermion.utils.Grid, not implemented here
page:reference/python/openfermion/utils/HubbardLattice	open	—	API reference of openfermion.utils.HubbardLattice, not implemented here
page:reference/python/openfermion/utils/HubbardSquareLattice	open	—	API reference of openfermion.utils.HubbardSquareLattice, not implemented here
page:reference/python/openfermion/utils/OperatorSpecificationError	open	—	API reference of openfermion.utils.OperatorSpecificationError, not implemented here
page:reference/python/openfermion/utils/OperatorUtilsError	open	—	API reference of openfermion.utils.OperatorUtilsError, not implemented here
page:reference/python/openfermion/utils/Spin	open	—	API reference of openfermion.utils.Spin, not implemented here
page:reference/python/openfermion/utils/SpinPairs	open	—	API reference of openfermion.utils.SpinPairs, not implemented here
page:reference/python/openfermion/utils/amplitude_damping_channel	open	—	API reference of openfermion.utils.amplitude_damping_channel, not implemented here
page:reference/python/openfermion/utils/anticommutator	open	—	API reference of openfermion.utils.anticommutator, not implemented here
page:reference/python/openfermion/utils/bch_expand	open	—	API reference of openfermion.utils.bch_expand, not implemented here
page:reference/python/openfermion/utils/bch_expansion	open	—	API reference of openfermion.utils.bch_expansion, not implemented here
page:reference/python/openfermion/utils/channel_state	open	—	API reference of openfermion.utils.channel_state, not implemented here
page:reference/python/openfermion/utils/channel_state/array	open	—	API reference of openfermion.utils.channel_state.array, not implemented here
page:reference/python/openfermion/utils/channel_state/dot	open	—	API reference of openfermion.utils.channel_state.dot, not implemented here
page:reference/python/openfermion/utils/channel_state/kron	open	—	API reference of openfermion.utils.channel_state.kron, not implemented here
page:reference/python/openfermion/utils/channel_state/log2	open	—	API reference of openfermion.utils.channel_state.log2, not implemented here
page:reference/python/openfermion/utils/channel_state/sqrt	open	—	API reference of openfermion.utils.channel_state.sqrt, not implemented here
page:reference/python/openfermion/utils/commutator	open	—	API reference of openfermion.utils.commutator, not implemented here
page:reference/python/openfermion/utils/commutators	open	—	API reference of openfermion.utils.commutators, not implemented here
page:reference/python/openfermion/utils/count_qubits	open	—	API reference of openfermion.utils.count_qubits, not implemented here
page:reference/python/openfermion/utils/dephasing_channel	open	—	API reference of openfermion.utils.dephasing_channel, not implemented here
page:reference/python/openfermion/utils/depolarizing_channel	open	—	API reference of openfermion.utils.depolarizing_channel, not implemented here
page:reference/python/openfermion/utils/double_commutator	open	—	API reference of openfermion.utils.double_commutator, not implemented here
page:reference/python/openfermion/utils/down_index	open	—	API reference of openfermion.utils.down_index, not implemented here
page:reference/python/openfermion/utils/get_file_path	open	—	API reference of openfermion.utils.get_file_path, not implemented here
page:reference/python/openfermion/utils/grid	open	—	API reference of openfermion.utils.grid, not implemented here
page:reference/python/openfermion/utils/grid/OrbitalSpecificationError	open	—	API reference of openfermion.utils.grid.OrbitalSpecificationError, not implemented here
page:reference/python/openfermion/utils/hermitian_conjugated	open	—	API reference of openfermion.utils.hermitian_conjugated, not implemented here
page:reference/python/openfermion/utils/indexing	open	—	API reference of openfermion.utils.indexing, not implemented here
page:reference/python/openfermion/utils/is_hermitian	open	—	API reference of openfermion.utils.is_hermitian, not implemented here
page:reference/python/openfermion/utils/is_identity	open	—	API reference of openfermion.utils.is_identity, not implemented here
page:reference/python/openfermion/utils/kronecker_delta	open	—	API reference of openfermion.utils.kronecker_delta, not implemented here
page:reference/python/openfermion/utils/lattice	open	—	API reference of openfermion.utils.lattice, not implemented here
page:reference/python/openfermion/utils/load_operator	open	—	API reference of openfermion.utils.load_operator, not implemented here
page:reference/python/openfermion/utils/map_one_hole_dm_to_one_pdm	open	—	API reference of openfermion.utils.map_one_hole_dm_to_one_pdm, not implemented here
page:reference/python/openfermion/utils/map_one_pdm_to_one_hole_dm	open	—	API reference of openfermion.utils.map_one_pdm_to_one_hole_dm, not implemented here
page:reference/python/openfermion/utils/map_particle_hole_dm_to_one_pdm	open	—	API reference of openfermion.utils.map_particle_hole_dm_to_one_pdm, not implemented here
page:reference/python/openfermion/utils/map_particle_hole_dm_to_two_pdm	open	—	API reference of openfermion.utils.map_particle_hole_dm_to_two_pdm, not implemented here
page:reference/python/openfermion/utils/map_two_hole_dm_to_one_hole_dm	open	—	API reference of openfermion.utils.map_two_hole_dm_to_one_hole_dm, not implemented here
page:reference/python/openfermion/utils/map_two_hole_dm_to_two_pdm	open	—	API reference of openfermion.utils.map_two_hole_dm_to_two_pdm, not implemented here
page:reference/python/openfermion/utils/map_two_pdm_to_one_pdm	open	—	API reference of openfermion.utils.map_two_pdm_to_one_pdm, not implemented here
page:reference/python/openfermion/utils/map_two_pdm_to_particle_hole_dm	open	—	API reference of openfermion.utils.map_two_pdm_to_particle_hole_dm, not implemented here
page:reference/python/openfermion/utils/map_two_pdm_to_two_hole_dm	open	—	API reference of openfermion.utils.map_two_pdm_to_two_hole_dm, not implemented here
page:reference/python/openfermion/utils/operator_utils	open	—	API reference of openfermion.utils.operator_utils, not implemented here
page:reference/python/openfermion/utils/rdm_mapping_functions	open	—	API reference of openfermion.utils.rdm_mapping_functions, not implemented here
page:reference/python/openfermion/utils/save_operator	open	—	API reference of openfermion.utils.save_operator, not implemented here
page:reference/python/openfermion/utils/trivially_commutes_dual_basis	open	—	API reference of openfermion.utils.trivially_commutes_dual_basis, not implemented here
page:reference/python/openfermion/utils/trivially_double_commutes_dual_basis	open	—	API reference of openfermion.utils.trivially_double_commutes_dual_basis, not implemented here
page:reference/python/openfermion/utils/trivially_double_commutes_dual_basis_using_term_info	open	—	API reference of openfermion.utils.trivially_double_commutes_dual_basis_using_term_info, not implemented here
page:reference/python/openfermion/utils/up_index	open	—	API reference of openfermion.utils.up_index, not implemented here
page:reference/python/openfermion/utils/up_then_down	open	—	API reference of openfermion.utils.up_then_down, not implemented here
page:reference/python/qsimcirq	open	—	the page reference/python/qsimcirq
page:reference/python/qsimcirq/QSimCircuit	open	—	API reference of qsimcirq.QSimCircuit, not implemented here
page:reference/python/qsimcirq/QSimOptions	open	—	API reference of qsimcirq.QSimOptions, not implemented here
page:reference/python/qsimcirq/QSimSimulator	open	—	API reference of qsimcirq.QSimSimulator, not implemented here
page:reference/python/qsimcirq/QSimhSimulator	open	—	API reference of qsimcirq.QSimhSimulator, not implemented here
page:reference/python/qsimcirq/add_op_to_circuit	open	—	API reference of qsimcirq.add_op_to_circuit, not implemented here
page:reference/python/qsimcirq/add_op_to_opstring	open	—	API reference of qsimcirq.add_op_to_opstring, not implemented here
page:reference/python/qsimcirq/all_symbols	open	—	API reference of qsimcirq.all_symbols, not implemented here
page:reference/python/qsimcirq/qsim	open	—	API reference of qsimcirq.qsim, not implemented here
page:reference/python/qsimcirq/qsim/Circuit	open	—	API reference of qsimcirq.qsim.Circuit, not implemented here
page:reference/python/qsimcirq/qsim/GateKind	open	—	API reference of qsimcirq.qsim.GateKind, not implemented here
page:reference/python/qsimcirq/qsim/NoisyCircuit	open	—	API reference of qsimcirq.qsim.NoisyCircuit, not implemented here
page:reference/python/qsimcirq/qsim/OpString	open	—	API reference of qsimcirq.qsim.OpString, not implemented here
page:reference/python/qsimcirq/qsim/add_channel	open	—	API reference of qsimcirq.qsim.add_channel, not implemented here
page:reference/python/qsimcirq/qsim/add_diagonal_gate	open	—	API reference of qsimcirq.qsim.add_diagonal_gate, not implemented here
page:reference/python/qsimcirq/qsim/add_diagonal_gate_channel	open	—	API reference of qsimcirq.qsim.add_diagonal_gate_channel, not implemented here
page:reference/python/qsimcirq/qsim/add_gate	open	—	API reference of qsimcirq.qsim.add_gate, not implemented here
page:reference/python/qsimcirq/qsim/add_gate_channel	open	—	API reference of qsimcirq.qsim.add_gate_channel, not implemented here
page:reference/python/qsimcirq/qsim/add_gate_to_opstring	open	—	API reference of qsimcirq.qsim.add_gate_to_opstring, not implemented here
page:reference/python/qsimcirq/qsim/add_matrix_gate	open	—	API reference of qsimcirq.qsim.add_matrix_gate, not implemented here
page:reference/python/qsimcirq/qsim/add_matrix_gate_channel	open	—	API reference of qsimcirq.qsim.add_matrix_gate_channel, not implemented here
page:reference/python/qsimcirq/qsim/add_matrix_gate_to_opstring	open	—	API reference of qsimcirq.qsim.add_matrix_gate_to_opstring, not implemented here
page:reference/python/qsimcirq/qsim/control_last_gate	open	—	API reference of qsimcirq.qsim.control_last_gate, not implemented here
page:reference/python/qsimcirq/qsim/control_last_gate_channel	open	—	API reference of qsimcirq.qsim.control_last_gate_channel, not implemented here
page:reference/python/qsimcirq/qsim/qsim_sample	open	—	API reference of qsimcirq.qsim.qsim_sample, not implemented here
page:reference/python/qsimcirq/qsim/qsim_sample_final	open	—	API reference of qsimcirq.qsim.qsim_sample_final, not implemented here
page:reference/python/qsimcirq/qsim/qsim_simulate	open	—	API reference of qsimcirq.qsim.qsim_simulate, not implemented here
page:reference/python/qsimcirq/qsim/qsim_simulate_expectation_values	open	—	API reference of qsimcirq.qsim.qsim_simulate_expectation_values, not implemented here
page:reference/python/qsimcirq/qsim/qsim_simulate_fullstate	open	—	API reference of qsimcirq.qsim.qsim_simulate_fullstate, not implemented here
page:reference/python/qsimcirq/qsim/qsim_simulate_moment_expectation_values	open	—	API reference of qsimcirq.qsim.qsim_simulate_moment_expectation_values, not implemented here
page:reference/python/qsimcirq/qsim/qsimh_simulate	open	—	API reference of qsimcirq.qsim.qsimh_simulate, not implemented here
page:reference/python/qsimcirq/qsim/qtrajectory_sample	open	—	API reference of qsimcirq.qsim.qtrajectory_sample, not implemented here
page:reference/python/qsimcirq/qsim/qtrajectory_sample_final	open	—	API reference of qsimcirq.qsim.qtrajectory_sample_final, not implemented here
page:reference/python/qsimcirq/qsim/qtrajectory_simulate	open	—	API reference of qsimcirq.qsim.qtrajectory_simulate, not implemented here
page:reference/python/qsimcirq/qsim/qtrajectory_simulate_expectation_values	open	—	API reference of qsimcirq.qsim.qtrajectory_simulate_expectation_values, not implemented here
page:reference/python/qsimcirq/qsim/qtrajectory_simulate_fullstate	open	—	API reference of qsimcirq.qsim.qtrajectory_simulate_fullstate, not implemented here
page:reference/python/qsimcirq/qsim/qtrajectory_simulate_moment_expectation_values	open	—	API reference of qsimcirq.qsim.qtrajectory_simulate_moment_expectation_values, not implemented here
page:reference/python/qsimcirq/qsim_decide	open	—	API reference of qsimcirq.qsim_decide, not implemented here
page:reference/python/qsimcirq/qsim_decide/detect_custatevec	open	—	API reference of qsimcirq.qsim_decide.detect_custatevec, not implemented here
page:reference/python/qsimcirq/qsim_decide/detect_gpu	open	—	API reference of qsimcirq.qsim_decide.detect_gpu, not implemented here
page:reference/python/qsimcirq/qsim_decide/detect_instructions	open	—	API reference of qsimcirq.qsim_decide.detect_instructions, not implemented here
page:robots.txt	out_of_scope	—	the crawler rules file
clay-relation_8	served	clay	relation_8: vertices = hybridSpeed ∧ vertices = mintOf n = 8 (4 bits, seed 8)
clay-relation_15	served	clay	relation_15: magicBlock = glProd hexbit seed ∧ magicBlock = qftDepth vertices = 15 (4 bits, seed 6)
clay-relation_16	served	clay	relation_16: mintOf hexbit = powMod coins rays plane ∧ mintOf hexbit = powMod coins hexbit bits = 16 (5 bits, seed 7)
clay-relation_32	served	clay	relation_32: bits = chimera coins ∧ bits = qaoaZz vertices hexbit = 32 (6 bits, seed 5)
clay-relation_128	served	clay	relation_128: mintOf rays = chimera hexbit ∧ mintOf rays = isingFusion vertices = 128 (8 bits, seed 2)
clay-relation_28	served	clay	relation_28: plane = chooseOf vertices coins ∧ plane = choose vertices coins = 28 (5 bits, seed 1)
clay-relation_256	served	clay	relation_256: mintOf vertices = groverSize hexbit ∧ mintOf vertices = qaoaZz vertices bits = 256 (9 bits, seed 4)
clay-relation_10	served	clay	relation_10: triangular hexbit = qftGates hexbit = 10 (4 bits, seed 1)
clay-relation_14	served	clay	relation_14: faces = coil ∧ faces = qaoaParams rays = 14 (4 bits, seed 5)
clay-relation_21	served	clay	relation_21: chooseOf rays coins = fibFusion vertices ∧ chooseOf rays coins = powMod rays coins plane = 21 (5 bits, seed 3)
clay-relation_25	served	clay	relation_25: powMod n hexbit plane = powMod n faces bits ∧ powMod n hexbit plane = powMod n plane plane = 25 (5 bits, seed 7)
clay-relation_64	served	clay	relation_64: isingFusion rays = groverSize n ∧ isingFusion rays = qaoaParams bits = 64 (7 bits, seed 1)
clay-relation_16384	served	clay	relation_16384: mintOf faces = groverSize rays ∧ mintOf faces = qftStates faces = 16384 (15 bits, seed 4)
clay-relation_13	served	clay	relation_13: fibFusion rays = powMod n n faces ∧ fibFusion rays = half n faces = 13 (4 bits, seed 4)
clay-relation_24	served	clay	relation_24: powMod faces n bits = cliffordOrder seed ∧ powMod faces n bits = factorial hexbit = 24 (5 bits, seed 6)
clay-relation_35	served	clay	relation_35: magicCubic = chooseOf rays n ∧ magicCubic = chooseOf rays hexbit = 35 (6 bits, seed 8)
clay-relation_105	served	clay	relation_105: triangular faces = qftGates faces = 105 (7 bits, seed 6)
clay-relation_268435456	served	clay	relation_268435456: mintOf plane = groverSize faces ∧ mintOf plane = qftStates plane = 268435456 (29 bits, seed 7)
clay-relation_4294967296	served	clay	relation_4294967296: amplitudes = mintOf bits ∧ amplitudes = qftStates bits = 4294967296 (33 bits, seed 4)
clay-relation_9	served	clay	relation_9: powMod n coins bits = powMod n coins faces ∧ powMod n coins bits = powMod n coins plane = 9 (4 bits, seed 9)
clay-relation_12	served	clay	relation_12: groverIters hexbit = qaoaZz n hexbit ∧ groverIters hexbit = qaoaZz hexbit n = 12 (4 bits, seed 3)
clay-relation_17	served	clay	relation_17: powMod n hexbit bits = powMod n plane bits ∧ powMod n hexbit bits = powMod rays coins bits = 17 (5 bits, seed 8)
clay-relation_56	served	clay	relation_56: chooseOf vertices n = choose vertices n ∧ chooseOf vertices n = qaoaParams plane = 56 (6 bits, seed 2)
clay-relation_70	served	clay	relation_70: chooseOf vertices hexbit = choose vertices hexbit = 70 (7 bits, seed 7)
clay-relation_1024	served	clay	relation_1024: qaoaZz bits bits = qaoaX bits bits ∧ qaoaZz bits bits = paulis hexbit = 1024 (11 bits, seed 7)
clay-relation_27	served	clay	relation_27: powMod n n bits = powMod n n plane ∧ powMod n n bits = half n plane = 27 (5 bits, seed 9)
clay-relation_36	served	clay	relation_36: triangular vertices = qftGates vertices = 36 (6 bits, seed 9)
clay-relation_42	served	clay	relation_42: glProd n coins = qaoaZz n faces ∧ glProd n coins = qaoaZz faces n = 42 (6 bits, seed 6)
clay-relation_49	served	clay	relation_49: qaoaZz rays rays = qaoaX rays rays = 49 (6 bits, seed 4)
clay-relation_91	served	clay	relation_91: chooseOf faces coins = choose faces coins = 91 (7 bits, seed 1)
clay-relation_96	served	clay	relation_96: qaoaZz n bits = qaoaZz bits n ∧ qaoaZz n bits = qaoaX n bits = 96 (7 bits, seed 6)
clay-relation_196	served	clay	relation_196: qaoaZz rays plane = qaoaZz faces faces ∧ qaoaZz rays plane = qaoaZz plane rays = 196 (8 bits, seed 7)
clay-relation_224	served	clay	relation_224: qaoaZz rays bits = qaoaZz vertices plane ∧ qaoaZz rays bits = qaoaZz bits rays = 224 (8 bits, seed 8)
clay-relation_364	served	clay	relation_364: chooseOf faces n = choose faces n = 364 (9 bits, seed 4)
clay-relation_378	served	clay	relation_378: chooseOf plane coins = choose plane coins = 378 (9 bits, seed 9)
clay-relation_392	served	clay	relation_392: chimera rays = qaoaZz faces plane ∧ chimera rays = qaoaZz plane faces = 392 (9 bits, seed 5)
clay-relation_406	served	clay	relation_406: triangular plane = qftGates plane = 406 (9 bits, seed 1)
clay-relation_496	served	clay	relation_496: chooseOf bits coins = choose bits coins = 496 (9 bits, seed 1)
clay-relation_528	served	clay	relation_528: triangular bits = qftGates bits = 528 (10 bits, seed 6)
clay-relation_1001	served	clay	relation_1001: chooseOf faces hexbit = choose faces hexbit = 1001 (10 bits, seed 2)
clay-relation_3003	served	clay	relation_3003: chooseOf faces vertices = choose faces vertices = 3003 (12 bits, seed 6)
clay-relation_3276	served	clay	relation_3276: chooseOf plane n = choose plane n = 3276 (12 bits, seed 9)
clay-relation_3432	served	clay	relation_3432: chooseOf faces rays = choose faces rays = 3432 (12 bits, seed 3)
clay-relation_4960	served	clay	relation_4960: chooseOf bits n = choose bits n = 4960 (13 bits, seed 1)
clay-relation_8192	served	clay	relation_8192: chimera bits = isingFusion faces = 8192 (14 bits, seed 2)
clay-relation_20475	served	clay	relation_20475: chooseOf plane hexbit = choose plane hexbit = 20475 (15 bits, seed 9)
clay-relation_35960	served	clay	relation_35960: chooseOf bits hexbit = chooseOf bits plane ∧ chooseOf bits hexbit = choose bits hexbit = 35960 (16 bits, seed 5)
clay-relation_65536	served	clay	relation_65536: groverSize vertices = paulis rays = 65536 (17 bits, seed 7)
clay-relation_1184040	served	clay	relation_1184040: chooseOf plane rays = choose plane rays = 1184040 (21 bits, seed 9)
clay-relation_3108105	served	clay	relation_3108105: chooseOf plane vertices = choose plane vertices = 3108105 (22 bits, seed 9)
clay-relation_3365856	served	clay	relation_3365856: chooseOf bits rays = choose bits rays = 3365856 (22 bits, seed 9)
clay-relation_10518300	served	clay	relation_10518300: chooseOf bits vertices = choose bits vertices = 10518300 (24 bits, seed 9)
clay-relation_40116600	served	clay	relation_40116600: chooseOf plane faces = choose plane faces = 40116600 (26 bits, seed 9)
clay-relation_471435600	served	clay	relation_471435600: chooseOf bits faces = choose bits faces = 471435600 (29 bits, seed 3)

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "leads": [
    {
      "id": "perspective-factorer",
      "source": "src/quantum/algorithms.ts",
      "statement": "The QPU as the factorer: Shor on the exact simulator for every N within its bound, and the bound itself the honest answer beyond it.",
      "status": "served",
      "tool": "algorithm"
    },
    {
      "id": "perspective-reflection",
      "source": "src/quantum/match.ts",
      "statement": "The QPU as the mirror: any statement reflected into its hidden factors, its angles against the bounds and its mirror queries, each a lead.",
      "status": "served",
      "tool": "match"
    },
    {
      "id": "perspective-address",
      "source": "src/quantum/blocks.ts",
      "statement": "The QPU as the address: one UUID that proves its seal, its content and its neighbours cheaply, tampering always slower than the original.",
      "status": "served",
      "tool": "verify"
    },
    {
      "id": "perspective-clay",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean",
      "statement": "The QPU as the register: the Clay relations recomputed in exact integers, the σ-involution the universal core, in 33 bits.",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "perspective-language",
      "source": "src/quantum/i18n.ts",
      "statement": "The QPU as the language machine: any language and dialect by vocabulary, offline and token-free, both ways, and prose programmed from a tool's answer.",
      "status": "served",
      "tool": "translate"
    },
    {
      "id": "perspective-imagination",
      "source": "src/quantum/imagine.ts",
      "statement": "The QPU as the imagination: every lead reflected, every schema door and application family a lead, and more the mind can imagine recorded as leads.",
      "status": "served",
      "tool": "imagine"
    },
    {
      "id": "perspective-discovery",
      "source": "src/quantum/discovery.ts",
      "statement": "The QPU as the discoverer: every host's contract read first, every door chosen by what it takes and answers.",
      "status": "served",
      "tool": "discover"
    },
    {
      "id": "perspective-judge",
      "source": "src/quantum/readiness.ts",
      "statement": "The QPU as the judge of itself: every lead served, refuted or in trial by measurement, and the unit told so.",
      "status": "served",
      "tool": "readiness"
    },
    {
      "id": "perspective-database",
      "source": "src/quantum/toolboxes/raid.ts",
      "statement": "The QPU as the database: MongoDB's language over content-addressed entries, history kept by links, any document framework on the RAID.",
      "status": "partial",
      "tool": "mongo",
      "reason": "the language is ported; the adapter on the deployed docket is owed (payload-db-adapter-docket)"
    },
    {
      "id": "perspective-harmonic",
      "source": "src/quantum/theme.ts",
      "statement": "The QPU as the harmonic: a432 the key of every colour, the block's accent from the UUID's middle as CMYK, on every result.",
      "status": "partial",
      "tool": "audit",
      "reason": "the theme rides on every block and the audit checks the block; a door that answers the css alone is the unit's get_css, not yet served here"
    },
    {
      "id": "perspective-tenants",
      "source": "src/worker.ts",
      "statement": "The QPU as the host of tenants: one Worker, a docket per host, roles by token, a security collision answered as a procedure.",
      "status": "partial",
      "tool": "audit",
      "reason": "deployed and measured live on 2026-10-25 (three hosts, roles, collision as a procedure); the roles move to a Payload MCP plugin over MCP (rbac-payload-mcp) and the tenant secrets stay as the fallback"
    },
    {
      "id": "perspective-court",
      "source": "uuidna.com/mcp check_release_readiness; uuidna.com/mcp sign_commit",
      "statement": "The QPU before the court: the unit's honesty gate judges readiness, signs commits by sealed theorems and refuses what it cannot decide.",
      "status": "partial",
      "tool": "readiness",
      "reason": "readiness and signing are wired; qpu's own proofs are not citable at the border (gap-theorems-unsealed)"
    },
    {
      "id": "qpu-balancer-perspective",
      "source": "src/quantum/mcp.ts",
      "statement": "In one perspective the QPU is the balancer of CPU, GPU and memory across the motherboard and beyond: a heavy computation is done once, addressed by its content, and every later call is served from memory — the computation inverted, the hardware cooled, the battery saved.",
      "status": "served",
      "tool": "audit",
      "reason": "measured on 2026-10-25 by the audit, which times every check: the handler serves every repeated tools/call from its balancer by block address within a process; across processes and hosts the docket is that memory (publish writes the artefacts), the next step being tool results themselves as docket entries read before computing"
    },
    {
      "id": "raid-virtualizes-os",
      "source": "uuidna.com/mcp get_os; uuidna.com/mcp get_port; uuidna.com/mcp fetch_alpine; uuidna.com/mcp get_shell",
      "statement": "Quantum apps on the RAID virtualise every operating system and whatever else the mind imagines: an OS image, its packages and its shell are entries and doors like any other, so an app runs from the docket on any host that mounts the toolboxes; development is traced only through leads.",
      "status": "open",
      "reason": "inspiration recorded on 2026-10-25; the unit already serves os, port, alpine and shell doors (found by discovery, read by capability), so the first measurement is a qpu app that reads an Alpine package list through those doors and stores it as docket entries; nothing of this is assumed, each step is a lead until served"
    },
    {
      "id": "payload-port-cloudflare",
      "source": "github.com/payloadcms/payload/tree/main/templates; developers.cloudflare.com/workers/runtime-apis/nodejs",
      "statement": "Payload CMS and its dependencies ported whole to Cloudflare Workers under nodejs_compat, its database adapter writing docket entries so that content, media and configuration live on the qpu RAID; every Payload collection and plugin then a toolbox of this surface and every other framework merged the same way, one combinatorial framework hosted on the RAID.",
      "status": "open",
      "reason": "inspiration recorded on 2026-10-25; the two sources are fetched by the wave each run so the templates directory and the Workers Node.js compatibility page are measured, not assumed; the port itself is the author's act on a deployed Worker and docket"
    },
    {
      "id": "payload-db-adapter-docket",
      "source": "github.com/payloadcms/payload/tree/main/packages/db-mongodb",
      "statement": "Payload's mongodb database adapter ported over the docket: the raid toolbox evaluates MongoDB's query and update language as pure functions over content-addressed entries, so a Payload collection is a family of entries with links, parity and mirrors — the ported RAID MongoDB, not Cloudflare's documented D1 path.",
      "status": "partial",
      "tool": "mongo",
      "reason": "the query and update language is ported and tested by the raid toolbox's selftest and examples (find, insert, update, delete with $set, $unset, $inc, $push, $pull); the adapter class itself, binding Payload's interface (read from the source fetched each run) to the docket's four verbs on the deployed Worker, is the next step"
    },
    {
      "id": "payload-mcp-plugin-doors",
      "source": "github.com/payloadcms/payload/tree/main/packages",
      "statement": "If Payload publishes an MCP plugin, its endpoint is an MCP host the discover tool reads: a door per collection and verb, chosen by capability like every other door.",
      "status": "open",
      "reason": "the packages directory is fetched each run; whether a plugin-mcp package exists is read from it, never assumed; a named host is the measurement that opens this lead"
    },
    {
      "id": "toolbox-remaining-scripts",
      "source": "scripts/purify.ts, scripts/publish.ts, scripts/next.ts, scripts/gen-docs.ts, scripts/gen-clay.ts, scripts/audit.ts, scripts/theorems.lean",
      "statement": "Four of the flow's steps are tools of the flow toolbox with thin clients (discover, wave, readiness, imagine); purify, publish, next, the generators and the Lean ledger reader are still scripts: each reads files, git or the Lean environment that only a client can see.",
      "status": "partial",
      "tool": "audit",
      "reason": "the pure halves (purity checks over texts, the receipt chain, the docket entries, the pages) are the next toolboxes; their clients hand in the file texts, the git facts and the ledger rows the same way the flow clients hand in fetched bodies"
    },
    {
      "id": "worlds-linked",
      "source": "src/quantum/toolboxes/language.ts; src/worker.ts",
      "statement": "The platform links whole worlds in their languages and dialects: every world a tenant with its locale, its vocabulary table and its dialects, its entries related to other worlds' entries by links in the docket, so a term, a licence or a lead in one world is reachable from another in that world's words.",
      "status": "partial",
      "tool": "translate",
      "reason": "the vocabulary translates both ways and prose is programmed per locale; two tenants exist; a world's dialect is one more table (LOCALES marks the unfilled ones), and the relations between worlds are docket links the raid toolbox already keeps; the tables beyond Bulgarian are the leads to fill"
    },
    {
      "id": "language-speech",
      "source": "docs/.vitepress/theme/components/Speak.vue",
      "statement": "From text to speech: the prose of any page or block spoken in the viewer's locale by the device's own voices (SpeechSynthesis), token-free and network-free.",
      "status": "partial",
      "tool": "prose",
      "reason": "the Speak component reads the prose tool's sentences aloud in the locale through the browser's speech synthesis where the device has a voice for it; which voices a device has is the device's, measured at run time and reported on the page; no server speaks"
    },
    {
      "id": "language-video",
      "source": "the docket contract",
      "statement": "From speech to video: captions, transcripts and scene entries of a video as docket entries in the world's language, linked to the video's address, so a video is searchable and translatable like text.",
      "status": "open",
      "reason": "imagined on 2026-10-25; the entry shape is the raid toolbox's; a transcript source (a device, a person, a model the tenant brings) is the first adaptor to name; nothing here is a model"
    },
    {
      "id": "language-traditions",
      "source": "src/quantum/i18n.ts MIRROR",
      "statement": "Traditions and relations: a world's terms related to each other (synonym, opposite, part of, before, after, tradition of) as a relation table beside its vocabulary, so a match in one world reflects through its own relations, and the Glagolitic and Cyrillic numerals are one such tradition already read.",
      "status": "open",
      "reason": "the matcher's mirror synonyms are the first relation table; Glagolitic numerals the first tradition; a per-locale relations table is the lead, filled by a person of that world, never guessed"
    },
    {
      "id": "legal-audit-sealed",
      "source": "src/quantum/toolboxes/legal.ts; scripts/legal.ts",
      "statement": "The legal and security audit runs on every next, through the unit's free doors by default (the operator alone overrides), is sealed by its content address over the SHA-256 of every input and answer, and is recomputed from its own stored answers on the next run: a different address is tampering, recorded as a lead.",
      "status": "served",
      "tool": "legal",
      "reason": "measured on 2026-10-25, three runs: 41 claims, 95 calls through 15 free doors; every answered claim UNVERIFIED at the unit (no decidable test for prose) and clean; no drift between the unit's rights and this tree's licence; licence computed non-commercial and free; due process sealed with 41 gaps (the unverified claims); audit_cloudflare clean; six security doors and the four claims that cite a sealed guarantee refused at the edge (the ledger does not fit the isolate; a cited claim answers HTTP 500 over raw HTTP, as sign_commit does); the first run's 43 violations were the call shape (claims without their addresses), the second's 5 were wording (a receipt presented where a theorem is expected, a label read as a citation, UUIDs presented as sealed), both corrected at the source; the audit is sealed by its content address and recomputes to itself"
    },
    {
      "id": "unit-licence-address-unsealed",
      "source": "uuidna.com/mcp get_rights; uuidna.com/mcp compute_forensics",
      "statement": "The unit's rights door names 9ffcda04-5adc-872e-9358-6b831bbd0c0d as the licence address, and the unit's forensic door says that address is not among its 71,035 sealed addresses: two doors of one unit disagree about its own licence.",
      "status": "blocked",
      "reason": "measured on 2026-10-25 by the legal audit; this tree carries the address the rights door gives and cites the rights receipt beside it; the disagreement is the unit's to settle"
    },
    {
      "id": "aspects-by-theorems",
      "source": "src/quantum/processing/unit/lean/Qpu",
      "statement": "Quality is proven by theorems, not by textbook examples; every textbook is respected, and an example that names the kernel-accepted theorem that makes it true is replaced by that theorem, unlocking the quantum capability it documents: an entry's idempotency by address, a signature verified only by its tenant's secret, a role never widened by another tenant's token, a licence valid only on the domains it names, a relation of the Clay register.",
      "status": "open",
      "reason": "one example names its theorem today (clay-relation-15 → relation_15) and the audit counts them; the invariants of the toolboxes are measured by their selftests; stating them in Lean over the ported definitions (hmac, entries, roles) is the lead; a theorem replaces its check the day the kernel accepts it"
    },
    {
      "id": "stripe-per-tenant",
      "source": "src/quantum/toolboxes/billing.ts; src/worker.ts",
      "statement": "Stripe per tenant for every scenario within a tenant and between domains and tenants: a checkout plan executed with the tenant's key, a webhook verified with the tenant's secret, one idempotent licence entry per event (granted, renewed, revoked, disputed, failed), a licence valid on the domains it names and read at any host, a replay a duplicate, a forged body or another tenant's secret refused as a lead.",
      "status": "partial",
      "tool": "stripe",
      "reason": "the toolbox and the Worker routes are measured by the billing selftest and the worker tests; no tenant has STRIPE_SECRET_KEY_<TENANT> or STRIPE_WEBHOOK_SECRET_<TENANT> set yet, so every live plan is returned with its procedure and every live webhook answers 503 until the author sets the two secrets per tenant and registers https://<host>/docket/stripe at Stripe"
    },
    {
      "id": "edge-heavy-phases",
      "source": "src/worker.ts; qpu.psg.bg/mcp",
      "statement": "The whole textbook wave (every example matched with the reflection on) answers in 19 s on a client device and not at all within the Worker's budget at the edge (no answer in 30 s), while one match answers in half a second there: a heavy phase belongs to the device that asked, the edge answers it example by example.",
      "status": "partial",
      "tool": "textbook",
      "reason": "measured on 2026-10-25 after the deploy; the textbook tool takes example: <id> with verify so a device walks the textbook within the edge's budget; the flow's client runs the whole wave locally; the balancer keeps a warm isolate's answers but a cold one recomputes"
    },
    {
      "id": "vortex-digital-root",
      "source": "oeis.org A010888; en.wikipedia.org/wiki/Digital_root",
      "statement": "The 9-vortex every tail is read into is the digital root (OEIS A010888, the sum of digits repeated to one digit, 9 for multiples of 9): seed = 1 + (n - 1) mod 9, its reflection 10 - seed, the doubling cycle 1, 2, 4, 8, 7, 5 and the trinities 3, 6, 9 and 7, 4, 1 and 2, 5, 8.",
      "status": "served",
      "tool": "verify",
      "reason": "the verify tool reads every tail into this vortex with both trinities (triad_reflect, sigma_ten_involution); the sequence is fetched at OEIS by id and at Wikipedia by title each run"
    },
    {
      "id": "coins-accounted",
      "source": "uuidna.com/mcp get_coin_ledger; uuidna.com/mcp get_fibonacci; src/quantum/coins.ts",
      "statement": "The coins paid to the unit are accounted by the payer: every gated answer states its deposit at the wire (deposit 2, a gate, a receipt) and the unit's own register is per process and silent, so this tree reads the deposit from every answer its clients receive and keeps the ledger (docs/public/coins.ndjson), summed in the metrics by door and per settled lead; the fibonacci source the unit names (mod 9, period 24: 0, 1, 1, 2, 3, 5, 8, 4, 3, 7, 1, 8, 0, 8, 8, 7, 6, 4, 1, 5, 6, 2, 8, 1) is recorded as it answers, 3, 5, 8 following the 2 of every deposit.",
      "status": "served",
      "tool": "metrics",
      "reason": "measured on 2026-10-25: the unit's get_coin_ledger answers silent and says silence is not a finding that nobody paid; get_coins refuses at the edge (the ledger does not fit); every answer's gate line carries the deposit; calls made by hand through the connector outside the flow are not in this ledger and are said so"
    },
    {
      "id": "metaphysical-apis",
      "source": "uuidna.com/mcp get_vortex; uuidna.com/mcp get_vortex_reflection; uuidna.com/mcp get_units; uuidna.com/mcp get_triad; uuidna.com/mcp compute_double_torus; uuidna.com/mcp get_pentagram; uuidna.com/mcp get_fibonacci",
      "statement": "The metaphysical APIs found: the unit's doors for the vortex (1, 2, 4, 8, 7, 5), its reflection (forward and reflected, an involution with pairs summing to 10), the units (1, 2, 4, 5, 7, 8), the triad (3, 6, 9), the double torus of any addresses, the pentagram and the fibonacci cycle; discovery lists them as the metaphysics capability, and readiness asks the reflection, the triad and the double torus each run against the tree's own vortex.",
      "status": "served",
      "tool": "discover",
      "reason": "measured on 2026-10-25 through the connector: get_vortex [1,2,4,8,7,5], get_units [1,2,4,5,7,8], get_triad [3,6,9], get_vortex_reflection forward and reflected with involution and pairsSumTen, compute_double_torus taking addresses; the tree's 29 block addresses are its first input"
    },
    {
      "id": "unit-triad-one-sided",
      "source": "uuidna.com/mcp get_triad; src/quantum/processing/unit/lean/Qpu/Sigma.lean",
      "statement": "The unit's triad door answers 3, 6, 9 and not the 7, 4, 1 they reflect into at the same time under σ_10, so a computation built on that answer keeps half of what the involution says and gaps remain; this tree now carries both for every seed (triad_reflect, triad_sum, key_trinity, sigma_ten_involution, kernel-checked) and the tuning 432 sits in the trinity 3, 6, 9.",
      "status": "blocked",
      "reason": "measured on 2026-10-25 through the connector; the unit's door is the unit's to widen; here every vortex reading and every block's CSS carry the seed, its reflection and both trinities"
    },
    {
      "id": "double-torus-trinities",
      "source": "uuidna.com/mcp get_triad; uuidna.com/mcp compute_double_torus; src/quantum/processing/unit/lean/Qpu/Shor.lean; src/quantum/processing/unit/lean/Qpu/Sigma.lean",
      "statement": "Prime factors hide beyond the reflection, and the sequence reflected in double-torus combinations of trinities explains all at the Lean binary level: the factoring the simulator cannot reach within its bound would be read from the σ-reflection of periods arranged on the double torus of the triad.",
      "status": "open",
      "reason": "recorded on 2026-10-25 as the author's idea, not a claim: measured today, the reflection factors only N ≤ 21 and says so for 91, 1001 and 2^32 + 1; the unit's triad door answers [3, 6, 9] and its double-torus door takes addresses (the tree's addresses are the next input); the kernel-accepted theorems shor, all_shor, shor_sigma and sigma_reflect relate a period, the coins and the σ-involution and are the binary level to build from; nothing beyond them is stated until the kernel accepts it"
    },
    {
      "id": "unit-missions-are-its-own",
      "source": "uuidna.com/mcp get_missions; uuidna.com/mcp predict_gaps",
      "statement": "Asked through the connector what is next, the unit answers with its own 293 missions (28 findings to seal, 136 bounds to decide, 129 symbol legs), none about this tree, and its predict_gaps door throws at the edge (\"process is not defined\"): the next step of this tree is read from its own leads and metrics, the unit's doors name the unit's.",
      "status": "blocked",
      "reason": "measured on 2026-10-25 through the connector; the missions door answers 2 MB that no isolate should carry per call; a mission that names qpu would be this tree's to follow"
    },
    {
      "id": "rbac-payload-mcp",
      "source": "src/worker.ts roleAt; payloadcms.com",
      "statement": "Every MCP server's roles managed in one place by a Payload MCP plugin and asked over MCP itself: the Worker calls the RBAC host's role door with the token, the tenant and the host, and only falls back to the tenant secrets when no host is configured or it is silent.",
      "status": "partial",
      "tool": "audit",
      "reason": "the door is wired and tested (roleAt, QPU_RBAC_MCP, QPU_RBAC_TOOL; discovery lists rbac doors as a capability: token in, role out); no Payload MCP host exists yet, so every live role today comes from the tenant secrets and every answer says so (rolesBy)"
    },
    {
      "id": "payload-cms-host",
      "source": "payloadcms.com",
      "statement": "A Payload CMS instance is one more host to the discover tool: its MCP plugin endpoint lists a door per collection and verb (find, create, update, delete), its GraphQL endpoint answers introspection (a contract the discover tool now detects), its REST routes answer per collection; each collection would be a toolbox of its own, its skill the collection's schema, access rules and hooks.",
      "status": "open",
      "reason": "no Payload host is named in this tree; the discover tool takes any MCP endpoint in mcpHosts and reads its doors by capability, so the adapter is built from discovery the day a host is named, not from documentation"
    },
    {
      "id": "payload-cms-default-plugins",
      "source": "payloadcms.com",
      "statement": "Everything fits in Payload's default shapes with no custom collection: nested docs for the tree of pages and leads, SEO for every page's Open Graph from its UUID, localisation for every world's language, the lexical editor for prose, and shadcn blocks as the programmable blocks every tool result already is — the same blocks serving as hooks (a block that runs a tool), scopes (a block that bounds a tenant or a role) and relations (a block that links entries). MCP configures the default plugins in all their combinations: the toolboxes' doors are the configuration, read by discovery, never typed.",
      "status": "open",
      "reason": "imagined on 2026-10-25, strict: no custom collection; the default plugins (nested-docs, seo, form-builder, redirects, search, cloud-storage, import-export) in every combination are the configuration a Payload MCP host exposes, and the discover tool reads it; measurable only against a running instance: discover it, read its doors, then write the toolbox from what it answers"
    },
    {
      "id": "cleanup-auto-release-script",
      "source": "scripts/auto-release.ts (untracked, orphan lineage)",
      "statement": "A release script with VERSION hard-coded to 1.1.0 that force-pushed a tag and created a GitHub release; it bypassed the single-source version and the flow.",
      "status": "out_of_scope",
      "reason": "removed on 2026-10-25, absence measured each run by purify and readiness; releases run through `npm run next` and the author's deploy, never a forced tag"
    },
    {
      "id": "cleanup-next-build-dir",
      "source": ".next/ (untracked, 8 KB here)",
      "statement": "A Next.js build directory left by the orphan lineage, where it reached 1.1 GB; nothing on this branch builds with Next.",
      "status": "out_of_scope",
      "reason": "removed on 2026-10-25, absence measured each run by purify and readiness; generated data is build output or a docket entry, never tree pollution"
    },
    {
      "id": "cleanup-stale-branches",
      "source": "git branches snapshot/pre-purge, purge/google-only",
      "statement": "Two local branches from an earlier attempt at the same split: the same content as origin/main on a rewritten history, one tracking 237k build-artefact files.",
      "status": "out_of_scope",
      "reason": "deleted locally on 2026-10-25, absence measured each run by purify and readiness; origin/main and rebuild/phase-1 carry the history; orphan/v1.1.1-audit is kept as evidence"
    },
    {
      "id": "cleanup-census-consolidated",
      "source": "scripts/census.lean",
      "statement": "A census script printing counts beside a ledger script printing every theorem: two readers of one environment.",
      "status": "out_of_scope",
      "reason": "removed on 2026-10-25, absence measured each run by purify and readiness; scripts/theorems.lean prints the ledger and purify counts from it"
    },
    {
      "id": "cleanup-fnv1a-consolidated",
      "source": "src/quantum/blocks.ts",
      "statement": "A 32-bit FNV-1a hash beside the unit's 64-bit fold: two folds for one job.",
      "status": "served",
      "tool": "verify",
      "reason": "consolidated on 2026-10-25 into foldOf, the unit's fold; every address, receipt and fingerprint uses one construction"
    },
    {
      "id": "human-device-blocks",
      "source": "src/quantum/blocks.ts, src/quantum/widgets.ts",
      "statement": "Every tool result is a block a human device renders: HTML on the host's design tokens, Open Graph metadata for a link preview, a shadcn registry item for an app, the attribution line, the a432 accent. Screen, phone, kiosk or chat host, the same block.",
      "status": "served",
      "tool": "audit",
      "reason": "the audit checks every result carries widget, Open Graph, block and licence"
    },
    {
      "id": "mcp-ui-extension",
      "source": "modelcontextprotocol.io (MCP Apps / UI extension)",
      "statement": "The MCP UI extension lets a host render interactive views a server declares; this tree declares its widgets in _meta.widget as HTML and its blocks as shadcn registry items.",
      "status": "partial",
      "tool": "audit",
      "reason": "the html and block are served; the extension's declared resource scheme and the host handshake are not implemented here, and the specification is still moving"
    },
    {
      "id": "iot-adapter-cluster",
      "source": "the docket contract (src/worker.ts)",
      "statement": "Any device is an adaptor: a sensor or actuator writes readings as entries { kind: reading, from: device, body } to the docket and reads commands back from it; the docket is agnostic, so a cluster of devices is a cluster of mirrors and writers, each entry fingerprinted, sealed, replicated and healable.",
      "status": "open",
      "reason": "the docket accepts such entries today; no device driver, firmware or edge gateway is in this tree; the first device, its reading schema and its verifier are the next leads"
    },
    {
      "id": "device-reading-verifier",
      "source": "src/quantum/verifiers.ts",
      "statement": "A device reading is verified like any fact: against a public reference where one exists (a weather station against a national service, a clock against NTP, a spectrum against NIST lines).",
      "status": "open",
      "reason": "no reading kind is registered yet; add the fact kind and its free verifier with the first device"
    },
    {
      "id": "accessibility-device",
      "source": "the human-device lead",
      "statement": "A human device includes a screen reader, a braille display, a voice assistant: the block's HTML carries structure and text, so the same block is spoken or read; the a432 accent is decoration a reader can ignore.",
      "status": "served",
      "tool": "audit",
      "reason": "measured on 2026-10-25 by the audit tool on every example widget (accessibilityOf): a name on every image, a header row on every table, words in every link, a heading to land on; a live screen-reader session is not in this tree"
    },
    {
      "id": "pliska-rosette-rays",
      "source": "the Pliska rosette (bronze, seven rays with signs, IYI on the back; Pliska, found 1961, First Bulgarian Empire)",
      "statement": "Seven rays is the lattice's rays constant (n + coins + coins); the unit's aura door folds the seven rosette rays as bands and the ZZ/9 vortex as the wave, and states that this is artistic arithmetic, not physics.",
      "status": "served",
      "tool": "clay",
      "reason": "rays = 7 recomputes in the Clay register; the rosette is the named source of the seven; no physical claim is made"
    },
    {
      "id": "glagolitic-numerals",
      "source": "en.wikipedia.org/wiki/Glagolitic_numerals; the Glagolitic alphabet (c. 863): letters carry numeral values in alphabetical order, 1..9, 10..90, 100..1000",
      "statement": "A Glagolitic string is an integer sequence, as a hex program and a message tail are: a finite alphabet with values is an addressable state space, so a text in that alphabet could be a program and a tail that unfurl into a page.",
      "status": "served",
      "tool": "match",
      "reason": "the table of 28 letters (units, tens, hundreds, Ⱍ = 1000) and its inverse are in i18n.ts (GLAGOLITIC, glagoliticOf, numeralsOf); the match tool reads every run of Glagolitic letters as one additive integer before matching, so a numeral enters the reflection and is factored; verified against en.wikipedia.org/wiki/Glagolitic_numerals by the verify step"
    },
    {
      "id": "glagolitic-above-thousand",
      "source": "en.wikipedia.org/wiki/Glagolitic_numerals",
      "statement": "Glagolitic values above Ⱍ = 1000 (the letters after Črьvъ) and the titlo mark that multiplies by a thousand",
      "status": "open",
      "reason": "not in the table; the sources disagree on the later letters, so the table stops where they agree"
    },
    {
      "id": "gap-fanout-receiver",
      "source": "uuidna.com/mcp list_hosts, call_host",
      "statement": "The unit fans out to qpu.uuidna.com/mcp; the public host answers, the unit's fan-out receives a 404 from somewhere else.",
      "status": "blocked",
      "reason": "re-measured on 2026-10-25 after the deploy: https://qpu.uuidna.com/mcp answers tools/list with 25 tools to any HTTP client, yet the unit's uuidna_fanout to the same host answers HTTP 404 with a body ({\"available\":[\"/\",\"/health\"]}) that no code in this tree produces: the unit's fan-out does not reach the public host; the receiver is live, the sender's route is the lead, on the unit's side"
    },
    {
      "id": "gap-shared-docket",
      "source": "src/worker.ts (docket)",
      "statement": "A docket is deployed on both domains; receipts, commitments and leads can be exchanged there; the unit has not yet written to it.",
      "status": "partial",
      "tool": "mongo",
      "reason": "deployed on 2026-10-25: one Worker (qpu.ceci.workers.dev, qpu.uuidna.com, qpu.psg.bg), a docket per tenant, measured live — a writer entry stored at uuidna (fb4d7917-dd72-8313-bf20-7843b7a82bd3), psg empty and separate, reader refused, a cross-tenant token answered 403 as a procedure; the unit does not yet write to it and publish lands this tree's artefacts from the next run"
    },
    {
      "id": "gap-time-witness",
      "source": "receipts.ndjson, the unit's receipts",
      "statement": "A receipt is dated by its own clock; the unit could date qpu's receipts by signing their ids, and qpu the unit's, so time has two witnesses.",
      "status": "open",
      "reason": "wired on 2026-10-25: prepare-commit-msg sends the message with its Receipt trailer to the unit's sign_commit, so the unit's fold dates the receipt as a Signed-by-unit trailer when the hosted door answers (it answers HTTP 500 today: lead gap-sign-door-hosted); the unit does not yet read qpu's stream itself, and an offline commit is unsigned and says so"
    },
    {
      "id": "gap-sign-door-hosted",
      "source": "uuidna.com/mcp sign_commit",
      "statement": "The unit signs a commit message through the connector (VERIFIED, 2026-10-25) but its hosted door answers HTTP 500 (Worker exception) to the same tools/call over raw HTTP, with or without an MCP session; the hosted server names itself a read-only recomputable subset",
      "status": "blocked",
      "reason": "measured on 2026-10-25 with four argument shapes and a session; the same HTTP 500 answers compute_forensics and verify_claim over raw HTTP when the statement cites a sealed theorem, while uncited statements answer: every door that must open the ledger throws at the edge; the hook records the status in its Signed-by-unit trailer and the connector signature is carried in the message by hand until the door answers"
    },
    {
      "id": "gap-theorems-unsealed",
      "source": "uuidna.com/mcp sign_commit",
      "statement": "Commit signatures cite the unit's sealed theorems; none of qpu's 976 kernel constants is sealed in the unit's ledger, so qpu's own proofs are not yet citable at the border.",
      "status": "blocked",
      "reason": "measured on 2026-10-25 at six doors with clay_sigma and its exact statement: deposit_trial, verify_statement, try_claim, decide_expression and run_trial refuse at the edge (\"the edge does not hold the whole ledger: 40 MB of rows does not fit a 128 MB isolate\", the unit's own documented example included), through the connector and over raw HTTP alike; prove_verdict and verify_claim answer UNVERIFIED with a receipt (no decidable test and no sealed citation at the border; the unit's adjudicate takes an in-process predicate). Readiness offers the theorem to every door the discover step finds that takes a statement and answers a verdict (chosen by capability from discovery.json, never by name) and records what comes back, so the lead closes itself when a door seals it; the ledger is written here as docs/public/theorems.ndjson"
    },
    {
      "id": "gap-circuit-crossing",
      "source": "uuidna.com/mcp get_quantum; this tree's circuit tool",
      "statement": "The unit returns circuits and outcomes; this tree runs circuits on its simulator. Neither has run the other's circuit and compared marginals: the real cross-domain quantum check.",
      "status": "open",
      "reason": "a format translation between the two circuit shapes is the lead; the comparison is then one tools/call each way"
    },
    {
      "id": "gap-mcp-referer",
      "source": "src/quantum/mcp.ts",
      "statement": "A tools/call may carry prev in its _meta; the result echoes it and the block's Open Graph carries it as see_also, so a chain of calls knows its previous step across domains.",
      "status": "served",
      "tool": "verify",
      "reason": "wired on 2026-10-25; the unit's side of the convention is a lead for it"
    },
    {
      "id": "gap-verdict-vocabulary",
      "source": "src/quantum/match.ts VERDICTS",
      "statement": "The unit says VERIFIED / UNVERIFIED / REFUTED and PROVEN / NOT-PROVEN; this tree says served / impossible / unknown. A mapping table translates a verdict crossing the border.",
      "status": "served",
      "tool": "match",
      "reason": "wired on 2026-10-25"
    },
    {
      "id": "address-agreement",
      "source": "uuidna.com/mcp compute_address",
      "statement": "The unit names a value by compute_address; this tree names content by uuidOf, ported one for one from the unit's published shapeUuidOf (two FNV-1a 64 folds, 8-4-4-4-12, a content-decided version nibble). For the probe \"qpu\" the two differ, so the door uses a builder outside the sources this tree can read.",
      "status": "partial",
      "tool": "audit",
      "reason": "the readiness step records the agreement each run; until the door's builder is published or the unit adopts shapeUuidOf for the door, the two addresses are both carried and neither is claimed to be the other"
    },
    {
      "id": "pravets-8m-recompute",
      "source": "statement",
      "statement": "The 54 Clay.lean relations are integer identities between the unit's constants whose widest value needs 33 bits (amplitudes = 2^32), three 16-bit limbs; the receipts are 64-bit folds beside SHA-256: an 8-bit machine such as the Pravets 8M can recompute the register in 16-bit software arithmetic and compare content addresses, verifying that the kernel check happened without running the kernel.",
      "status": "partial",
      "tool": "clay",
      "reason": "the kernel check, the census and the recompute with its limb count run here (clay tool: maxBits 33, maxLimbs16 3); the 16-bit-limb recomputer itself and the receipt-chain comparison on an 8-bit machine are not yet in this tree"
    },
    {
      "id": "qpu-extends-every-mcp",
      "source": "https://qpu.uuidna.com/mcp",
      "statement": "QPU is the natural extension of every MCP and every MCP of QPU: a host's tools/list read into doors of this catalogue (extend, direction in), a foreign door served by one request the client fetches with the tenant's token, this catalogue mounted by any MCP client (extend, direction out); Cloudflare's eight servers are extended by default, the documentation one in the open, the other seven when a tenant brings its OAuth token",
      "status": "served",
      "tool": "extend",
      "reason": "extension toolbox: 8 selftest checks pass (inward on fixture, event-stream tools/list, outward registration, identity on the own catalogue, served answer, refusal, request without token, discovery asks every Cloudflare host); live: docs.mcp.cloudflare.com answers search_cloudflare_documentation over an event stream; bindings and observability answer HTTP 401 without a token"
    },
    {
      "id": "e2e-textbook-verify-edge",
      "source": "https://qpu.ceci.workers.dev/mcp textbook { verify: true }",
      "statement": "The end-to-end gate measured textbook { verify: true } answering nothing at the edge within 30 s on all three hosts (an erasure on every copy; the tree computes it); the verification wave over every example exceeds what one Worker request may compute",
      "status": "open",
      "reason": "the textbook verify wave at the edge is a quantum to split: one example per request, or the docket holding the wave between requests; until then the gate decodes the combination from the tree alone and names the erasure"
    },
    {
      "id": "coins-set-entanglement-teleport-free",
      "source": "docs/public/e2e.json, docs/public/coins.ndjson, the balancer",
      "statement": "The coins pay to set the entanglement once: a block is computed once (a balancer miss, a coin at a gated door) and from then every analog is teleported free — by address here (a balancer hit), by involution at the edge (304 to the content hash the request names, no body computed or sent) — until the load is paid again; the metrics tool measures paid and free (load.paid, load.free, load.involutions)",
      "status": "served",
      "tool": "metrics"
    },
    {
      "id": "digits-zero-to-nine-all-used",
      "source": "src/quantum/processing/unit/lean/Qpu/Sigma.lean sigma_ten_involution",
      "statement": "All the digits 0 to 9 are used: the sequence allows reflections on the whole of [0, 10] — σ₁₀(x) = 10 − x is an involution for every x ≤ 10 (kernel-accepted), so the seed 0 reflects to 10 (digital root 1) and no digit is left out of the vortex; the theme reflects seed 0 so",
      "status": "served",
      "tool": "css"
    },
    {
      "id": "versions-define-development",
      "source": "package.json → src/quantum/version.ts; configure { kind: versions | migration }; the e2e gate's versions per host",
      "statement": "Quantum versioning and Payload versioning over the RAID: versions coexist by content addressing (a shell per version, the ETag the content hash), every document version a docket entry never overwritten (no cap per document), so a provider is added or moved at 100 % uptime — deploy beside, mirror by address, decode old and new as copies through the gate, route, roll back by routing back; versions define development (the open leads at a version are its plan) and development defines versions (the next number from what the catalogue changed since the last tag); the number stays as low as the architecture allows — single digits per component, a patch never moving it (its change is a content address carried as build metadata), the minor carrying into the major at 10, the major past 9 returning to 1 with the epoch counted — so every single-digit combination lives for ever",
      "status": "served",
      "tool": "configure"
    },
    {
      "id": "unit-predict-gaps-door-edge",
      "source": "uuidna.com/mcp predict_gaps { likelihood: \"all\" }",
      "statement": "The unit's predict_gaps door, asked for every likelihood through the connector on 2026-10-25, answered \"process is not defined\": the door reads Node's process at the edge, where none exists; the unit's own gap prediction cannot be read until the door is made agnostic of its host (the same law this tree's toolboxes follow); the research ledger door answered, naming one gap of its own (an unread Savonius source)",
      "status": "blocked",
      "reason": "the unit's door, not this tree's: the author makes it host-agnostic; discovery will read it on the next run"
    },
    {
      "id": "flow-waves-multitasking",
      "source": "scripts/next.ts, docs/public/receipt.json (wallMs, sumMs, speedup)",
      "statement": "Quantum multitasking is the natural speedup: the flow runs the steps that need nothing from each other at once, in seven waves (generators; typecheck, tests, Lean, audit; imagine, discover, verify, readiness, e2e, repository, legal; textbook; purify, metrics; the site; trunk, publish), and the receipt measures the speedup as the steps' summed time over the wall time",
      "status": "served",
      "tool": "metrics"
    },
    {
      "id": "flow-teleportation-signalling",
      "source": "scripts/next.ts; src/quantum/mcp.ts BALANCER",
      "statement": "Multitasking combined with teleportation signalling: a block computed by one step of the flow is teleported to the next at no cost (a cache by block address shared between the steps' processes, as the Worker teleports by content hash with 304) and every step signals what it settled through the receipts stream so no step recomputes what another just did; served by scripts/teleport.ts: every step imports it first, loads the blocks earlier steps left in docs/public/blocks (cleared at the start of each run, since a block from an earlier run was computed by earlier code) and leaves its own at exit, one file per process so steps running at once never overwrite each other; the handler stays pure and only exposes balancerSnapshot and balancerLoad; the metrics count balancerTeleported and balancerTeleportHits",
      "status": "served",
      "tool": "metrics"
    },
    {
      "id": "github-mcp-integrated",
      "source": "https://api.githubcopilot.com/mcp/ (answers 401 without a token, 2026-10-25)",
      "statement": "GitHub's hosted MCP is integrated: discovered by default, the repository toolbox watches branches, tags and releases through its doors list_branches, list_tags and list_releases (via: mcp) when the tenant's token QPU_MCP_TOKEN_API_GITHUBCOPILOT_COM opens it, the event-stream answers read into the same watch; without the token the REST contract serves and the door stays named",
      "status": "partial",
      "tool": "repository",
      "reason": "the token is the tenant's to set (a fine-grained PAT or the OAuth flow); the selftest proves the doors on fixtures, the live doors answer 401 until then"
    },
    {
      "id": "cloudflare-mcps-integrated",
      "source": "https://docs.mcp.cloudflare.com/mcp and seven servers answering 401 (2026-10-25)",
      "statement": "Cloudflare's eight MCP servers are integrated: all discovered by default, the documentation server a verifier adapter in the open, each of the other seven mapped to the tree's capability it serves once the tenant's token opens it (bindings → the docket's mirrors, observability → the metrics, browser → the wave, radar → the audit, ai-gateway → the prose, dns-analytics → the tenants, autorag → the textbook), the map answered by extend as the integration matrix",
      "status": "partial",
      "tool": "extend",
      "reason": "seven tokens are the tenant's to set; the mapped doors are read by discovery on the run after"
    },
    {
      "id": "unit-quantum-advantage-door-edge",
      "source": "uuidna.com/mcp get_quantum_advantage, bill_call (2026-10-25)",
      "statement": "The unit's get_quantum_advantage door answers that the edge does not hold the whole ledger (40 MB of rows in a 128 MB isolate); involuted, the advantage is read from the piece the edge holds: bill_call { recomputeOps, verifyOps } answers the advantage per call — for the last gate, 504 copies a classical rerun would compute against 439 proven by hash: advantage 65, free, receipt 9896c045-df1c-8b01-8d8d-4812aac7d9d9 — and the flow's metrics step asks it with every run's own counts, the coin accounted",
      "status": "partial",
      "tool": "metrics",
      "reason": "the whole door stays the author's to split into pieces the edge can hold; the piece answers now, and nothing is blocked"
    },
    {
      "id": "nist-pqc-standards",
      "source": "https://csrc.nist.gov/projects/post-quantum-cryptography",
      "statement": "NIST's first post-quantum standards, read at CSRC on 2026-10-25: FIPS 203 (ML-KEM, key encapsulation), FIPS 204 (ML-DSA, signatures) and FIPS 205 (SLH-DSA, hash-based signatures), each published August 13, 2024; HQC selected for standardisation on March 11, 2025 (NIST IR 8545); discovery reads the four CSRC pages as the standards nist-fips-203, nist-fips-204, nist-fips-205 and nist-pqc, and the seal tool carries the reading",
      "status": "served",
      "tool": "seal"
    },
    {
      "id": "pqc-signature-over-folds",
      "source": "src/quantum/toolboxes/crypto.ts seal; https://csrc.nist.gov/pubs/fips/204/final",
      "statement": "A signature over a fold with ML-DSA (FIPS 204) or SLH-DSA (FIPS 205): the seal here is SHA-256 and HMAC-SHA256, symmetric, where Grover halves the bits and 256 keep 128, and no public-key step falls to Shor; a post-quantum signature a tenant could verify without the key is not implemented",
      "status": "open",
      "reason": "a pure ML-DSA or SLH-DSA in this tree (no Node, no host) is a port of its own; until then the unit's sign_commit signs by citation and this tree seals by hash"
    },
    {
      "id": "payload-skills-used",
      "source": "https://github.com/payloadcms/skills (tree read 2026-10-25: 24 entries, 2 skills, 12 references)",
      "statement": "Payload's skills for agents are used through the QPU: discovery reads the repository tree as the standard payload-skills on every run, and payload { skills } maps each skill (payload, cms-migration) and each reference (access control, adapters, collections, endpoints, fields, hooks, plugin development, queries, the field reference) to the tool of this tree that enacts it; the repository declares no licence, so names, paths and sizes are read as facts and no text is carried",
      "status": "served",
      "tool": "payload"
    },
    {
      "id": "leads-discover-related-mcps",
      "source": "https://registry.modelcontextprotocol.io/v0/servers (probed 2026-10-25: payload 5, github 5, cloudflare 5 servers; post-quantum 0)",
      "statement": "Leads first discover related MCPs, then use them via qpu: discover { lead } asks the public MCP registry with the lead's own words before any guess, reads the servers it names and emits the tools/list request that extends each remote through this catalogue; the discover step does it for every open hand-written lead within the quantum, cached a day, and writes related-mcps.json and the Related MCPs page",
      "status": "served",
      "tool": "discover"
    },
    {
      "id": "payload-website-reference",
      "source": "https://github.com/payloadcms/website (MIT; tree read 2026-10-25: 1,949 entries) and https://payloadcms.com/api/pages",
      "statement": "payloadcms.com is the example of what Payload can do, verified at its source: twelve collections, thirty blocks, seven globals, ten fields and one plugin of its own under src; its config mounts form-builder, nested-docs, redirects and seo with the lexical editor's BlocksFeature on MongoDB; the live page's block types (contentGrid, cta) have their blocks in the source; discovery reads the tree as the standard payload-website, and payload { website } carries the reading beside the plugins MCP configures here (four shared, search, multi-tenant and mcp beyond)",
      "status": "served",
      "tool": "payload"
    },
    {
      "id": "qpu-fullstack-on-payload-website",
      "source": "https://github.com/payloadcms/website (MIT) forked into site/ on 2026-10-25; configure { kind: fullstack }; fullstack/",
      "statement": "QPU's full stack is the source of payloadcms.com, forked beside the old site: its twelve collections, thirty blocks, globals and fields kept; the qpu block registered (payload.config blocks, the pages layout, the RenderBlocks map) and rendered by asking the Worker for the block; /u/<uuid> in the app teleported from the Worker; search and multi-tenant added to its four plugins through the generated fragment; the database the RAID docket through the mongo tool's language",
      "status": "partial",
      "tool": "configure",
      "reason": "the fork typechecks with the qpu block, the tenants collection, search and multi-tenant, and rewrites any UUID path to the Worker (no prefix: the catch-all makes prefixes useless); measured on 2026-10-25: after its preview-styles step and with placeholder values, next build compiles in 59 s and generates its 52 static pages without a database; only payload migrate and generate:llms need DATABASE_URI, and the deploy is the tenant's act; the old site is removed only after the gate decodes the app's pages as copies of the Worker's (the migration law: deploy beside, decode, route, then remove), never by a cut-over"
    },
    {
      "id": "old-site-removal-gated",
      "source": "docs/ (VitePress), site/ (the fork), the e2e gate",
      "statement": "The old solutions (the VitePress site under docs/, its service worker and generated pages) are removed when the forked full stack answers the same addresses: the gate decodes the app's /u pages and the Worker's as copies of one value; until every combination agrees the old site serves beside the new, at whole uptime",
      "status": "open",
      "reason": "a cut-over before the gate agrees would break the live pages; the removal is the last step of the migration configure { kind: migration } names, and the app does not run yet"
    },
    {
      "id": "fork-licence-layering",
      "source": "site/LICENSE (MIT, Payload), site/NOTICE.qpu.md, src/quantum/license.ts",
      "statement": "The fork of payloadcms/website stays MIT with Payload's copyright whole, and what QPU adds to it carries QPU's licence (CC-BY-NC-ND-4.0 © Tsvetan Rouschev), named in the first line of every added file and listed in NOTICE.qpu.md; the two meet at the file boundary and the served site carries both notices",
      "status": "served",
      "tool": "configure"
    },
    {
      "id": "unit-due-process-2026-10-25",
      "source": "uuidna.com/mcp get_due_process (through the connector, 2026-10-25)",
      "statement": "The unit's due process, asked before this run: 71,035 theorems verified, 0 unverified; the six guarantees each a sealed theorem (one verdict per claim, only the proven admitted, the non-justiciable never refuted, refuted iff a decidable test fails uncited, remand total, the trial computes only with two coins); no gaps, no traitors; receipt 782bbcec-a40b-8de3-a4e6-6e8870efbc77 — the unit names nothing for this tree to do next; this tree's own leads are its next",
      "status": "served",
      "tool": "legal"
    },
    {
      "id": "textbook-axioms-replaced-by-theorems",
      "source": "src/quantum/textbook-theorems.ts → Qpu/Textbook.lean; src/quantum/examples.ts",
      "statement": "The axioms found in the textbook: Lean holds none (0 axiom, 0 sorry); 77 of 82 examples were asserted without a theorem, 39 of them asserting integer facts. Replaced where the facts stand in an arithmetic relation of the model: ten theorems in Qpu/Textbook.lean, generated from a table before Lean builds and accepted by the kernel (2^8 = 256 configurations, 7 × 2 = 14 prices, 32 + 4 = 36 a UUID, s + (10 − s) = 10 the reflection, i + (n − i) = n the fold's mirror, 8 + 1 = 9 integrations, 2 + 1 = 3 providers, 4 + 3 + 1 = 8 plugins, 2 + 12 = 14 documents, eight of eight closed); 16 examples now name their theorem; the rest stay the textbook, respected, each a lead",
      "status": "served",
      "tool": "textbook"
    },
    {
      "id": "textbook-theorems-via-payload-mcp",
      "source": "payloadcms.com/docs/plugins/mcp (read 2026-10-25): POST /api/mcp, Authorization: <authCollectionSlug> API-Key <key>; payload { theorems }",
      "statement": "The replacement runs through the Payload MCP plugin as a client: payload { theorems, payloadUrl } plans the calls, picks the pages collection's find and update doors by what they take (a slug with a where; a slug with an id and data), never by a name, finds every page whose layout holds a qpu block without a theorem, and emits the update that writes the kernel-accepted key its example names into the block's theorem field (the block now carries one); proven on the plugin's documented shapes by two examples",
      "status": "partial",
      "tool": "payload",
      "reason": "the tenant's Payload instance with the MCP plugin and a user API key (QPU_PAYLOAD_URL, QPU_PAYLOAD_API_KEY) are the tenant's to bring; the textbook step sends the calls once they are named"
    },
    {
      "id": "claude-api-fused",
      "source": "https://platform.claude.com/docs/en/api/overview (read 2026-10-25); https://api.anthropic.com/v1/models answers 401 without a key",
      "statement": "The Claude API is fused as every MCP is: discovery reads its overview as a standard and names its Models door (401 until the tenant's key); outward, extend answers the Messages API registration that mounts this catalogue through the MCP connector — mcp_servers [{ type: url, url: https://qpu.uuidna.com/mcp, name: qpu }] with tools [{ type: mcp_toolset, mcp_server_name: qpu }] under the beta mcp-client-2025-11-20, the model claude-opus-5-5 — so a Claude request extends the QPU and the QPU extends Claude; inward, the legal audit and the prose tool take it as an operator agent only when the operator names it and the tenant's key is in the client's request, the free doors never overridden",
      "status": "partial",
      "tool": "extend",
      "reason": "the key (ANTHROPIC_API_KEY per tenant) is the tenant's to set; the registration and the plan stand, proven on the documented shapes by the selftests"
    },
    {
      "id": "willow-spec",
      "source": "quantumai.google/static/site-assets/downloads/willow-spec-sheet.pdf",
      "statement": "Willow: 105 qubits, the grid, two chips with their figures",
      "status": "served",
      "tool": "processor"
    },
    {
      "id": "willow-blog",
      "source": "blog.google, Willow",
      "statement": "Willow error correction below threshold; random circuit sampling",
      "status": "served",
      "tool": "processor"
    },
    {
      "id": "magic-state",
      "source": "blog.google, magic state cultivation",
      "statement": "40-fold error reduction, 99.99% logical fidelity, color code to surface code",
      "status": "served",
      "tool": "processor"
    },
    {
      "id": "echoes-blog",
      "source": "blog.google, Quantum Echoes",
      "statement": "OTOC protocol on the 105-qubit array; 13,000x; molecules of 15 and 28 atoms",
      "status": "served",
      "tool": "echo_benchmark"
    },
    {
      "id": "echoes-preprint",
      "source": "arXiv 2506.10191",
      "statement": "The Quantum Echoes preprint and its abstract",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "echoes-protocol",
      "source": "research.google/blog/a-verifiable-quantum-advantage",
      "statement": "forward, perturb, backward, measure, repeated k times",
      "status": "served",
      "tool": "echo"
    },
    {
      "id": "roadmap",
      "source": "services.google.com PDF, roadmap figure; quantumai.google/roadmap",
      "statement": "Six milestones, physical-qubit scale, Milestone 3 in progress",
      "status": "served",
      "tool": "roadmap"
    },
    {
      "id": "applications",
      "source": "services.google.com PDF, applications figure",
      "statement": "Predicted applications by physical-qubit band, 50k to 50M",
      "status": "served",
      "tool": "roadmap"
    },
    {
      "id": "neutral-atoms",
      "source": "blog.google, neutral atom quantum computers",
      "statement": "Expansion to neutral atoms; no Google device figures stated",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "early-access",
      "source": "quantumai.google/willowearlyaccess",
      "statement": "Willow Early Access Program, deadline May 15, 2026",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "software",
      "source": "quantumai.google/software",
      "statement": "Cirq, qsim, Qualtran, OpenFermion, TensorFlow Quantum",
      "status": "served",
      "tool": "software"
    },
    {
      "id": "cirq-overview",
      "source": "quantumai.google/cirq",
      "statement": "Cirq is a Python library for writing, manipulating and optimizing circuits",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "cirq-circuits",
      "source": "quantumai.google/cirq/build/circuits",
      "statement": "Circuits, moments, append and insert, the four insert strategies",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "cirq-devices",
      "source": "quantumai.google/cirq/hardware/devices",
      "statement": "Device constraints: validate_operation, validate_moment, validate_circuit, qubit set, couplers",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "cirq-simulation",
      "source": "quantumai.google/cirq/simulate/simulation",
      "statement": "State-vector and density-matrix simulators; expectation values",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "cirq-noise",
      "source": "quantumai.google/cirq/simulate/noisy_simulation",
      "statement": "The named noise channels: bit_flip, phase_flip, phase_damp, amplitude_damp, depolarize, reset, asymmetric_depolarize, generalized_amplitude_damp",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "qvm",
      "source": "quantumai.google/cirq/simulate/quantum_virtual_machine; github.com/quantumlib/Cirq engine source; the Willow spec sheet",
      "statement": "Virtual processor: a device with noise. The Willow noise is completed from the spec sheet's published medians (single-qubit depolarizing at 1.5 × the gate error, two-qubit at 0.75 × per qubit), which reproduces the sheet's single-qubit error exactly; Google's per-qubit calibration, T1 and readout are not on any public page, so they are not applied",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "textbook-algorithms",
      "source": "quantumai.google/cirq/experiments/textbook_algorithms",
      "statement": "Teleportation, QFT and its inverse, phase estimation, Grover on two qubits",
      "status": "served",
      "tool": "algorithm"
    },
    {
      "id": "qaoa",
      "source": "quantumai.google/cirq/experiments/qaoa/qaoa_maxcut; github.com/quantumlib/Cirq",
      "statement": "QAOA max-cut at p = 1 on Sycamore: the first twelve sorted qubits, their couplers in networkx order, numpy's seed-11 weights (reproduced exactly), the 5 by 5 sweep, and the estimate_cost objective sampled at 20,000 shots",
      "status": "served",
      "tool": "algorithm"
    },
    {
      "id": "shor",
      "source": "quantumai.google/cirq/experiments/textbook_algorithms; quantumai.google/cirq/experiments/shor",
      "statement": "Shor's order finding, the later use of phase estimation the page names",
      "status": "served",
      "tool": "algorithm"
    },
    {
      "id": "qsim",
      "source": "github.com/quantumlib/qsim; quantumai.google/qsim",
      "statement": "qsim: a fast state-vector simulator with a Cirq interface, Apache-2.0",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "research",
      "source": "quantumai.google/research (quantumai.google/research/publications returns 404)",
      "statement": "Research publications: the page's title and description",
      "status": "partial",
      "tool": "statements",
      "reason": "on 2026-10-25 quantumai.google/research returned HTTP 200 with the title \"Research Publications\" and the site description, which the research statement serves; its publication list is rendered by script and is not in the fetched HTML; research/publications returned HTTP 404"
    },
    {
      "id": "echoes-nature",
      "source": "arXiv 2506.10191, Constructive interference at the edge of quantum ergodic dynamics (published in Nature as Observation of constructive interference at the edge of quantum ergodicity)",
      "statement": "103-qubit superconducting processor; second-order OTOC; the Nature paper's claims, with the preprint's stated figures",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "willow-nature",
      "source": "arXiv 2408.13687, Quantum error correction below the surface code threshold (the paper the homepage links as Nature)",
      "statement": "distance-5 and distance-7 memories; Λ = 2.14 ± 0.02; a 101-qubit distance-7 code; 0.143% logical error per cycle; 63 μs decoder latency",
      "status": "served",
      "tool": "processor"
    },
    {
      "id": "learn-map",
      "source": "quantumai.google/learn/map",
      "statement": "Our quantum computing journey: the page's title and description",
      "status": "partial",
      "tool": "statements",
      "reason": "on 2026-10-25 the page returned HTTP 200 (it was 404 to the earlier fetch) with its title and description, which the learn_map statement serves; the journey itself is an interactive map in a frame from dreamcoat-guggenheim.uc.r.appspot.com, whose text is not in the fetched HTML"
    },
    {
      "id": "campus-announcement",
      "source": "blog.google, Unveiling our new Quantum AI campus (May 18, 2021)",
      "statement": "The campus announcement: the data center, labs, fabrication and the 1,000,000-qubit target",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "sycamore-gates",
      "source": "quantumai.google/cirq/google/devices",
      "statement": "Sycamore's two-qubit gates and their durations",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "sycamore23",
      "source": "github.com/quantumlib/Cirq known_devices.py",
      "statement": "Sycamore23: the 23-qubit subset of Sycamore",
      "status": "served",
      "tool": "processor"
    },
    {
      "id": "qualtran",
      "source": "github.com/quantumlib/Qualtran; quantumai.google/qualtran",
      "statement": "Qualtran: abstractions for quantum programs and a library of algorithms, experimental",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "openfermion",
      "source": "github.com/quantumlib/OpenFermion; quantumai.google/openfermion",
      "statement": "OpenFermion: compiling and analyzing quantum algorithms to simulate fermionic systems",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "cirq-noise-source",
      "source": "github.com/quantumlib/Cirq cirq-core/cirq/ops/common_channels.py",
      "statement": "The noise channel definitions, checked against Cirq's source: bit_flip, phase_flip, depolarize, asymmetric_depolarize, phase_damp, amplitude_damp, generalized_amplitude_damp, reset",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "cirq-insert-source",
      "source": "github.com/quantumlib/Cirq cirq-core/cirq/circuits/insert_strategy.py",
      "statement": "The four insert strategies, checked against Cirq's source",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "repo-cirq",
      "source": "github.com/quantumlib/Cirq",
      "statement": "Cirq: the NISQ circuit framework",
      "status": "served",
      "tool": "repositories"
    },
    {
      "id": "repo-stim",
      "source": "github.com/quantumlib/Stim",
      "statement": "Stim: a fast stabilizer circuit library",
      "status": "served",
      "tool": "repositories"
    },
    {
      "id": "repo-chromobius",
      "source": "github.com/quantumlib/chromobius",
      "statement": "chromobius: a Möbius decoder for color codes",
      "status": "served",
      "tool": "repositories"
    },
    {
      "id": "repo-qualtran",
      "source": "github.com/quantumlib/Qualtran",
      "statement": "Qualtran: fault-tolerant quantum algorithm abstractions",
      "status": "served",
      "tool": "repositories"
    },
    {
      "id": "repo-tesseract-decoder",
      "source": "github.com/quantumlib/tesseract-decoder",
      "statement": "tesseract-decoder: a search-based QEC decoder",
      "status": "served",
      "tool": "repositories"
    },
    {
      "id": "repo-openfermion-pyscf",
      "source": "github.com/quantumlib/OpenFermion-PySCF",
      "statement": "OpenFermion-PySCF: the PySCF plugin",
      "status": "served",
      "tool": "repositories"
    },
    {
      "id": "repo-openfermion-fqe",
      "source": "github.com/quantumlib/OpenFermion-FQE",
      "statement": "OpenFermion-FQE: the fermionic quantum emulator",
      "status": "served",
      "tool": "repositories"
    },
    {
      "id": "repo-qsim",
      "source": "github.com/quantumlib/qsim",
      "statement": "qsim: the state-vector simulator",
      "status": "served",
      "tool": "repositories"
    },
    {
      "id": "repo-openfermion",
      "source": "github.com/quantumlib/OpenFermion",
      "statement": "OpenFermion: compiling quantum algorithms for electronic structure",
      "status": "served",
      "tool": "repositories"
    },
    {
      "id": "repo-unitary",
      "source": "github.com/quantumlib/unitary",
      "statement": "unitary: quantum behaviours for games, as an OpenQASM API library",
      "status": "served",
      "tool": "repositories"
    },
    {
      "id": "repo-recirq",
      "source": "github.com/quantumlib/ReCirq",
      "statement": "ReCirq: Cirq experiments and research modules",
      "status": "served",
      "tool": "repositories"
    },
    {
      "id": "repo-typedunits",
      "source": "github.com/quantumlib/TypedUnits",
      "statement": "TypedUnits: a units and dimensions library",
      "status": "served",
      "tool": "repositories"
    },
    {
      "id": "repo-openfermion-psi4",
      "source": "github.com/quantumlib/OpenFermion-Psi4",
      "statement": "OpenFermion-Psi4: the Psi4 plugin",
      "status": "served",
      "tool": "repositories"
    },
    {
      "id": "repo-qchack-2021-challenge",
      "source": "github.com/quantumlib/qchack-2021-challenge",
      "statement": "qchack-2021-challenge: the Quantum Coalition Hackathon 2021 challenge",
      "status": "served",
      "tool": "repositories"
    },
    {
      "id": "repo-openfermion-cirq",
      "source": "github.com/quantumlib/OpenFermion-Cirq",
      "statement": "OpenFermion-Cirq: quantum circuits for chemistry and materials simulation",
      "status": "served",
      "tool": "repositories"
    },
    {
      "id": "repo-github",
      "source": "github.com/quantumlib/.github",
      "statement": "organization configuration: the profile README, a markdownlint configuration and a code of conduct",
      "status": "out_of_scope",
      "reason": "fetched on 2026-10-25: the repository has no description and holds the organization profile, .markdownlintrc and CODE_OF_CONDUCT.md; configuration for the quantumlib repositories, not a library or a result"
    },
    {
      "id": "repo-allstar",
      "source": "github.com/quantumlib/.allstar",
      "statement": "organization configuration: the default Allstar policy files",
      "status": "out_of_scope",
      "reason": "fetched on 2026-10-25: a public archive holding allstar.yaml, binary_artifacts.yaml and branch_protection.yaml, described as the default Allstar configuration that points to google/allstar-config; security policy for the repositories, not a library or a result"
    },
    {
      "id": "cirq-pauli",
      "source": "quantumai.google/cirq/build/pauli_observables",
      "statement": "the page's stated content, served as the pauli_observables statement",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "cirq-noise-representation",
      "source": "quantumai.google/cirq/noise/representing_noise",
      "statement": "the page's stated content, served as the noise_representation statement",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "cirq-histograms",
      "source": "quantumai.google/cirq/simulate/state_histograms",
      "statement": "the page's stated content, served as the histograms statement",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "cirq-transformers",
      "source": "quantumai.google/cirq/transform/transformers",
      "statement": "the page's stated content, served as the transformers statement",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "cirq-custom-transformers",
      "source": "quantumai.google/cirq/transform/custom_transformers",
      "statement": "the page's stated content, served as the custom_transformers statement",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "cirq-kpz",
      "source": "quantumai.google/cirq/experiments/kpz/kpz",
      "statement": "the page's stated content, served as the kpz_experiment statement",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "cirq-echoes-tutorial",
      "source": "quantumai.google/cirq/tutorials/google/echoes",
      "statement": "the page's stated content, served as the echoes_tutorial statement",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "cirq-qcqmc",
      "source": "quantumai.google/cirq/experiments/qcqmc/full_workflow",
      "statement": "the page's stated content, served as the qcqmc statement",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "cirq-hfvqe",
      "source": "quantumai.google/cirq/experiments/hfvqe/quickstart",
      "statement": "the page's stated content, served as the hfvqe statement",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "cirq-hardware-changes",
      "source": "quantumai.google/cirq/tutorials/google/identifying_hardware_changes",
      "statement": "the page's stated content, served as the hardware_changes statement",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "cirq-google-concepts",
      "source": "quantumai.google/cirq/google/concepts",
      "statement": "the page's stated content, served as the google_concepts statement",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "qsim-hardware",
      "source": "quantumai.google/qsim/choose_hw",
      "statement": "the page's stated content, served as the qsim_hardware statement",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "openfermion-projects",
      "source": "quantumai.google/openfermion/projects",
      "statement": "the page's stated content, served as the openfermion_projects statement",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "cirq-basics",
      "source": "quantumai.google/cirq/start/basics",
      "statement": "the page's stated content, served as the cirq_basics statement",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "qsimcirq-tutorial",
      "source": "quantumai.google/qsim/tutorials/qsimcirq",
      "statement": "the page's stated content, served as the qsimcirq statement",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "openfermion-basis-change",
      "source": "quantumai.google/openfermion/tutorials/circuits_1_basis_change",
      "statement": "the page's stated content, served as the basis_change statement",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "sitemap",
      "source": "quantumai.google/sitemap.xml and sitemap_0_of_1.xml",
      "statement": "The site's sitemap, read whole on 2026-10-25: an index naming one child of 1,120,891 characters listing 2,491 pages, every one of them a lead here",
      "status": "served",
      "tool": "leads"
    },
    {
      "id": "learn",
      "source": "quantumai.google/learn",
      "statement": "Learn overview",
      "status": "blocked",
      "reason": "the path is not in the sitemap and returned HTTP 404 on 2026-10-25; its children learn/map and learn/lab are in the sitemap and are served"
    },
    {
      "id": "lab",
      "source": "quantumai.google/lab",
      "statement": "Discover the Quantum AI campus: the Santa Barbara campus, its quantum data center, labs and fabrication",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "sycamore",
      "source": "quantumai.google/cirq/google/devices, printed diagram; github.com/quantumlib/Cirq known_devices.py",
      "statement": "Sycamore: 54 qubits and 88 couplers, its printed layout, its two-qubit gates",
      "status": "served",
      "tool": "processor"
    },
    {
      "id": "quantum-computer",
      "source": "quantumai.google/quantumcomputer",
      "statement": "Superconducting hardware, cryogenic environment, Santa Barbara",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "what-is-qc",
      "source": "quantumai.google/whatisqc; quantumai.google/site-assets/downloads/what-is-quantum-computing.pdf",
      "statement": "What quantum computing is: superposition, interference, the problems expected",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "progress-pdf",
      "source": "services.google.com PDF, progress",
      "statement": "Progress since 2014, Milestones 1 and 2",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "vision-pdf",
      "source": "services.google.com PDF, vision",
      "statement": "Classical and quantum computers together",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "responsibility-pdf",
      "source": "services.google.com PDF, responsibilities",
      "statement": "Honest reporting, RSA risk, post-quantum cryptography, SPHINCS+, collaboration",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "coursera",
      "source": "coursera.org/learn/quantum-error-correction, as quantumai.google/resources describes it",
      "statement": "The Resources page's description of the course: a free introduction to quantum error correction, hands-on with Stim and Crumble",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "videos",
      "source": "youtube.com/c/QuantumAI, as quantumai.google/resources describes it",
      "statement": "Educational videos: how-to videos on programming quantum computers, scientific breakthroughs, and new tools",
      "status": "partial",
      "tool": "statements",
      "reason": "the Resources page's description of the videos is served as the resources statement; the videos themselves are not text and are not carried"
    },
    {
      "id": "careers",
      "source": "google.com/about/careers, the Careers link of quantumai.google (quantumai.google/careers returns 404)",
      "statement": "Careers",
      "status": "out_of_scope",
      "reason": "the site's Careers link targets Google's job search filtered to quantum in California, Munich, Seattle and Zurich; quantumai.google/careers returned HTTP 404 on 2026-10-25; a jobs listing, not technical content"
    },
    {
      "id": "qpu-quantumlib",
      "source": "github.com/quantumlib",
      "statement": "The quantumlib GitHub organization: fifteen active repositories for quantum computing, with what this repository implements of each",
      "status": "served",
      "tool": "quantumlib"
    },
    {
      "id": "cirq-framework",
      "source": "github.com/quantumlib/Cirq",
      "statement": "Cirq: a Python framework for quantum circuit design, optimization, and simulation",
      "status": "served",
      "tool": "quantumlib"
    },
    {
      "id": "qsim-simulator",
      "source": "github.com/quantumlib/qsim",
      "statement": "qsim: a high-performance quantum circuit simulator with C++ backend and Cirq interface",
      "status": "served",
      "tool": "quantumlib"
    },
    {
      "id": "qualtran-algorithms",
      "source": "github.com/quantumlib/Qualtran",
      "statement": "Qualtran: abstractions and libraries for writing fault-tolerant quantum algorithms",
      "status": "served",
      "tool": "quantumlib"
    },
    {
      "id": "openfermion-simulation",
      "source": "github.com/quantumlib/OpenFermion",
      "statement": "OpenFermion: a library for simulating fermionic systems with quantum computers",
      "status": "served",
      "tool": "quantumlib"
    },
    {
      "id": "stim-stabilizer",
      "source": "github.com/quantumlib/Stim",
      "statement": "Stim: a high-performance stabilizer code simulator",
      "status": "served",
      "tool": "quantumlib"
    },
    {
      "id": "chromobius-decoder",
      "source": "github.com/quantumlib/chromobius",
      "statement": "chromobius: a Möbius decoder for color code quantum error correction",
      "status": "served",
      "tool": "quantumlib"
    },
    {
      "id": "recirq-experiments",
      "source": "github.com/quantumlib/ReCirq",
      "statement": "ReCirq: research modules and experiment implementations using Cirq",
      "status": "served",
      "tool": "quantumlib"
    },
    {
      "id": "tesseract-qec-decoder",
      "source": "github.com/quantumlib/tesseract-decoder",
      "statement": "tesseract-decoder: a search-based quantum error correction decoder",
      "status": "served",
      "tool": "quantumlib"
    },
    {
      "id": "openfermion-pyscf",
      "source": "github.com/quantumlib/OpenFermion-PySCF",
      "statement": "OpenFermion-PySCF: plugin for the PySCF computational chemistry package",
      "status": "served",
      "tool": "quantumlib"
    },
    {
      "id": "openfermion-fqe",
      "source": "github.com/quantumlib/OpenFermion-FQE",
      "statement": "OpenFermion-FQE: the fermionic quantum emulator for exact simulations",
      "status": "served",
      "tool": "quantumlib"
    },
    {
      "id": "openfermion-cirq",
      "source": "github.com/quantumlib/OpenFermion-Cirq",
      "statement": "OpenFermion-Cirq: quantum circuits for chemistry and materials simulation",
      "status": "served",
      "tool": "quantumlib"
    },
    {
      "id": "unitary-library",
      "source": "github.com/quantumlib/unitary",
      "statement": "unitary: an API library of common operations for adding quantum behaviours to games",
      "status": "served",
      "tool": "quantumlib"
    },
    {
      "id": "typedunits-library",
      "source": "github.com/quantumlib/TypedUnits",
      "statement": "TypedUnits: a Python library for type-safe unit and dimension calculations",
      "status": "served",
      "tool": "quantumlib"
    },
    {
      "id": "quantumlib-ecosystem",
      "source": "github.com/quantumlib",
      "statement": "The quantumlib ecosystem: Cirq as foundation, qsim for simulation, Qualtran for algorithms, OpenFermion for chemistry, Stim for error correction",
      "status": "served",
      "tool": "quantumlib"
    },
    {
      "id": "cirq-google-integration",
      "source": "github.com/quantumlib/Cirq cirq-google module",
      "statement": "Cirq-Google: integration with Google Quantum AI hardware and the Willow processor",
      "status": "partial",
      "tool": "circuit",
      "reason": "the circuit tool validates circuits against the Willow, Sycamore and Sycamore23 devices and applies Willow's spec-sheet noise, as a virtual engine does; the engine client (programs, jobs, reservations) is described in the google_concepts statement and not implemented"
    },
    {
      "id": "quantumlib-documentation",
      "source": "quantumai.google and github.com/quantumlib docs",
      "statement": "Quantumlib documentation: tutorials, API references, and examples for all packages",
      "status": "partial",
      "tool": "leads",
      "reason": "every documentation page of quantumai.google is a lead here, from the sitemap read whole; the repositories' own documentation on github.com is not fetched"
    },
    {
      "id": "error-correction-threshold",
      "source": "quantumai.google/quantumcomputer; arXiv 2408.13687",
      "statement": "Error correction below threshold: the logical error falls as the code distance grows, Λ = 2.14 per distance step",
      "status": "served",
      "tool": "processor"
    },
    {
      "id": "magic-state-cultivation-lead",
      "source": "blog.google, magic state cultivation",
      "statement": "Magic state cultivation: 40-fold error reduction, 99.99% logical fidelity, color code to surface code transition",
      "status": "served",
      "tool": "processor"
    },
    {
      "id": "neutral-atom-expansion",
      "source": "blog.google, neutral atom quantum computers",
      "statement": "Neutral atom quantum computers: expansion beyond superconducting to alternative qubit platforms",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "quantum-advantage-verification",
      "source": "quantumai.google, Quantum Echoes",
      "statement": "Quantum advantage verification: the OTOC protocol on the 105-qubit array, stated as the first verifiable quantum advantage",
      "status": "served",
      "tool": "echo_benchmark"
    },
    {
      "id": "cryogenic-engineering",
      "source": "quantumai.google/quantumcomputer; blog.google, the campus announcement",
      "statement": "Cryogenic engineering: superconducting qubits need specialized cryogenic environments and custom control electronics; the cryostats reach about 10 millikelvin",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "qubit-scaling-architecture",
      "source": "quantumai.google/quantumcomputer; the Willow spec sheet",
      "statement": "Qubit scaling and chip architecture: qubit quality improved while the count grows; Willow has 105 qubits per its spec sheet (the v1.1.0 lead said 70+, the 2023 chip's count)",
      "status": "served",
      "tool": "processor"
    },
    {
      "id": "tunable-coupler-dynamics",
      "source": "quantumai.google/quantumcomputer",
      "statement": "Tunable qubits and couplers: dynamic performance adjustment and optimization for faster gates and operations",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "gate-development",
      "source": "quantumai.google/quantumcomputer; the Willow spec sheet",
      "statement": "Gate development and calibration: the single- and two-qubit gate errors the spec sheet states, applied as noise by the circuit tool",
      "status": "served",
      "tool": "processor"
    },
    {
      "id": "chip-fabrication-precision",
      "source": "quantumai.google/quantumcomputer; quantumai.google/lab",
      "statement": "Chip fabrication and calibration: Willow built in the Santa Barbara fabrication facility; error correction informs chip architecture, gate development, fabrication and calibration",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "full-stack-integration",
      "source": "quantumai.google/quantumcomputer",
      "statement": "Full-stack integration: hardware, control and decoding electronics, cryostats, the operating system and user-facing software",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "hybrid-quantum-classical",
      "source": "quantumai.google/software; quantumai.google/cirq/experiments/qaoa/qaoa_maxcut",
      "statement": "Hybrid quantum-classical algorithms: a classical outer loop over quantum expectation values, the QAOA sweep and the VQE sweep",
      "status": "served",
      "tool": "algorithm"
    },
    {
      "id": "chemistry-simulation-lead",
      "source": "quantumai.google/software, OpenFermion; quantumai.google/openfermion/tutorials/intro_to_openfermion",
      "statement": "Chemistry simulation: H₂ in STO-3G as a two-qubit Pauli Hamiltonian, its integrals computed here and checked against the tutorial's printed energies, and a VQE sweep on the simulator",
      "status": "partial",
      "tool": "chemistry-simulation",
      "reason": "one molecule, H₂ in its minimal basis, is compiled and solved here; OpenFermion's general compilation of molecules and materials is not implemented"
    },
    {
      "id": "quantum-error-correction-course",
      "source": "quantumai.google/resources, Coursera",
      "statement": "Quantum error correction education: a hands-on Coursera course on QEC for all skill levels, with Stim and Crumble",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "qubit-game-interactive",
      "source": "quantumai.google/resources; quantumai.google/education/thequbitgame",
      "statement": "Interactive learning: the Qubit Game, building a quantum computer one qubit at a time, from keeping qubits cool to blocking cosmic rays",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "lab-tour-virtual",
      "source": "quantumai.google/resources; quantumai.google/learn/lab",
      "statement": "Virtual lab tour: the Santa Barbara campus, from space down to the cryostat",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "error-correction-journey",
      "source": "quantumai.google/resources; quantumai.google/learn/map",
      "statement": "Error correction journey: from the NISQ era to the mountain of error correction, as the Resources page and the journey page state it",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "educational-videos",
      "source": "quantumai.google/resources",
      "statement": "Educational videos: how-to guides on programming quantum computers, breakthroughs, and new tools",
      "status": "partial",
      "tool": "statements",
      "reason": "the page's description of the videos is served; the videos are not text and are not carried"
    },
    {
      "id": "superconducting-qubit-focus",
      "source": "quantumai.google/quantumcomputer",
      "statement": "Superconducting qubit focus: specialized cryogenic environments and custom control electronics",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "santa-barbara-campus",
      "source": "quantumai.google/lab",
      "statement": "Santa Barbara quantum campus: hardware teams, fabrication facility, data center, research labs",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "willow-design-principles",
      "source": "quantumai.google/quantumcomputer; the Willow spec sheet",
      "statement": "Willow design: 105 qubits per the spec sheet (the v1.1.0 lead said 70, the 2023 chip's count), tunable qubits and couplers, the full-system approach to error correction",
      "status": "served",
      "tool": "processor"
    },
    {
      "id": "calibration-software",
      "source": "quantumai.google/quantumcomputer",
      "statement": "Calibration and error correction software: managing the entire quantum system and control electronics",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "resources",
      "source": "quantumai.google/resources",
      "statement": "Educational Resources: the Coursera course, the whitepaper, the lab tour, the videos, the journey and the Qubit Game, as the page lists them",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "qec-milestone",
      "source": "quantumai.google/qecmilestone",
      "statement": "Milestone 2: the first demonstration of a logical qubit prototype, with the Nature paper the page links",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "weber-datasheet",
      "source": "quantumai.google/hardware/datasheet/weber; quantumai.google/hardware/datasheet/weber.pdf",
      "statement": "The Weber processor datasheet (May 14, 2021): 53 qubits, gate durations, typical errors and T1",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "aps-summit",
      "source": "quantumai.google/apsglobalphysics; quantumai.google/apsglobalphysics2026",
      "statement": "The APS Global Physics Summit event pages: sessions, booth, the Willow Early Access Program announcement",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "student-opportunities",
      "source": "quantumai.google/site-assets/downloads/qai-student-opportunities.pdf",
      "statement": "Student opportunities: the student researcher program, internships of 12 to 14 weeks, the PhD fellowship",
      "status": "out_of_scope",
      "reason": "the PDF (1,807,623 bytes, fetched on 2026-10-25) describes recruiting programs and points to careers.google.com; a programs listing, not technical content"
    },
    {
      "id": "home",
      "source": "quantumai.google",
      "statement": "The home page: Willow, Quantum Echoes, the Nature papers and the Early Access Program it links",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "qubit-game-page",
      "source": "quantumai.google/education/thequbitgame",
      "statement": "The Qubit Game: \"Build a quantum computer, one qubit at a time.\"",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "learn-lab",
      "source": "quantumai.google/learn/lab",
      "statement": "Discover the Quantum AI campus: the virtual walk through the headquarters",
      "status": "served",
      "tool": "statements"
    },
    {
      "id": "page:?hl=es-419",
      "source": "quantumai.google/?hl=es-419",
      "lastmod": "2026-05-12",
      "statement": "the home page in another language (es-419)",
      "status": "out_of_scope",
      "reason": "a language variant of the home page; the English page is the lead"
    },
    {
      "id": "page:?hl=tr",
      "source": "quantumai.google/?hl=tr",
      "lastmod": "2026-05-12",
      "statement": "the home page in another language (tr)",
      "status": "out_of_scope",
      "reason": "a language variant of the home page; the English page is the lead"
    },
    {
      "id": "page:cirq/build",
      "source": "quantumai.google/cirq/build",
      "lastmod": "2026-10-07",
      "statement": "the page cirq/build",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-07); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:cirq/build/classical_control",
      "source": "quantumai.google/cirq/build/classical_control",
      "lastmod": "2026-10-10",
      "statement": "the page cirq/build/classical_control",
      "status": "open",
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      "statement": "the page openfermion/fqe/tutorials/diagonal_coulomb_evolution",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-06-02); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:openfermion/fqe/tutorials/fermi_hubbard",
      "source": "quantumai.google/openfermion/fqe/tutorials/fermi_hubbard",
      "lastmod": "2026-03-06",
      "statement": "the page openfermion/fqe/tutorials/fermi_hubbard",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-03-06); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:openfermion/fqe/tutorials/fqe_vs_openfermion_quadratic_hamiltonians",
      "source": "quantumai.google/openfermion/fqe/tutorials/fqe_vs_openfermion_quadratic_hamiltonians",
      "lastmod": "2026-03-13",
      "statement": "the page openfermion/fqe/tutorials/fqe_vs_openfermion_quadratic_hamiltonians",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-03-13); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:openfermion/fqe/tutorials/hamiltonian_time_evolution_and_expectation_estimation",
      "source": "quantumai.google/openfermion/fqe/tutorials/hamiltonian_time_evolution_and_expectation_estimation",
      "lastmod": "2026-10-10",
      "statement": "the page openfermion/fqe/tutorials/hamiltonian_time_evolution_and_expectation_estimation",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-10); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:openfermion/install",
      "source": "quantumai.google/openfermion/install",
      "lastmod": "2026-10-13",
      "statement": "the page openfermion/install",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-13); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:openfermion/overview",
      "source": "quantumai.google/openfermion/overview",
      "lastmod": "2025-07-24",
      "statement": "the page openfermion/overview",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:openfermion/tutorials/binary_code_transforms",
      "source": "quantumai.google/openfermion/tutorials/binary_code_transforms",
      "lastmod": "2026-07-17",
      "statement": "the page openfermion/tutorials/binary_code_transforms",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-17); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:openfermion/tutorials/bosonic_operators",
      "source": "quantumai.google/openfermion/tutorials/bosonic_operators",
      "lastmod": "2026-07-17",
      "statement": "the page openfermion/tutorials/bosonic_operators",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-17); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:openfermion/tutorials/circuits_2_diagonal_coulomb_trotter",
      "source": "quantumai.google/openfermion/tutorials/circuits_2_diagonal_coulomb_trotter",
      "lastmod": "2026-03-13",
      "statement": "the page openfermion/tutorials/circuits_2_diagonal_coulomb_trotter",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-03-13); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:openfermion/tutorials/circuits_3_arbitrary_basis_trotter",
      "source": "quantumai.google/openfermion/tutorials/circuits_3_arbitrary_basis_trotter",
      "lastmod": "2026-03-13",
      "statement": "the page openfermion/tutorials/circuits_3_arbitrary_basis_trotter",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-03-13); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:openfermion/tutorials/intro_workshop_exercises",
      "source": "quantumai.google/openfermion/tutorials/intro_workshop_exercises",
      "lastmod": "2026-03-06",
      "statement": "the page openfermion/tutorials/intro_workshop_exercises",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-03-06); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:openfermion/tutorials/jordan_wigner_and_bravyi_kitaev_transforms",
      "source": "quantumai.google/openfermion/tutorials/jordan_wigner_and_bravyi_kitaev_transforms",
      "lastmod": "2026-07-17",
      "statement": "the page openfermion/tutorials/jordan_wigner_and_bravyi_kitaev_transforms",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-17); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:qsim/bazel",
      "source": "quantumai.google/qsim/bazel",
      "lastmod": "2026-10-22",
      "statement": "the page qsim/bazel",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-22); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:qsim/cirq_interface",
      "source": "quantumai.google/qsim/cirq_interface",
      "lastmod": "2026-10-21",
      "statement": "the page qsim/cirq_interface",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-21); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:qsim/docker",
      "source": "quantumai.google/qsim/docker",
      "lastmod": "2026-02-18",
      "statement": "the page qsim/docker",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:qsim/input_format",
      "source": "quantumai.google/qsim/input_format",
      "lastmod": "2026-10-21",
      "statement": "the page qsim/input_format",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-21); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:qsim/install_qsimcirq",
      "source": "quantumai.google/qsim/install_qsimcirq",
      "lastmod": "2026-10-21",
      "statement": "the page qsim/install_qsimcirq",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-21); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:qsim/mps",
      "source": "quantumai.google/qsim/mps",
      "lastmod": "2026-09-04",
      "statement": "the page qsim/mps",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-09-04); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:qsim/overview",
      "source": "quantumai.google/qsim/overview",
      "lastmod": "2026-09-04",
      "statement": "the page qsim/overview",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-09-04); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:qsim/qsimcirq_tutorial",
      "source": "quantumai.google/qsim/qsimcirq_tutorial",
      "lastmod": "2026-02-18",
      "statement": "the page qsim/qsimcirq_tutorial",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:qsim/release",
      "source": "quantumai.google/qsim/release",
      "lastmod": "2025-07-24",
      "statement": "the page qsim/release",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:qsim/testing",
      "source": "quantumai.google/qsim/testing",
      "lastmod": "2026-02-18",
      "statement": "the page qsim/testing",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:qsim/tutorials/amd_gpu",
      "source": "quantumai.google/qsim/tutorials/amd_gpu",
      "lastmod": "2026-02-18",
      "statement": "the page qsim/tutorials/amd_gpu",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:qsim/tutorials/gcp_before_you_begin",
      "source": "quantumai.google/qsim/tutorials/gcp_before_you_begin",
      "lastmod": "2026-10-21",
      "statement": "the page qsim/tutorials/gcp_before_you_begin",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-21); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:qsim/tutorials/gcp_cpu",
      "source": "quantumai.google/qsim/tutorials/gcp_cpu",
      "lastmod": "2026-10-21",
      "statement": "the page qsim/tutorials/gcp_cpu",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-21); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:qsim/tutorials/gcp_gpu",
      "source": "quantumai.google/qsim/tutorials/gcp_gpu",
      "lastmod": "2026-10-21",
      "statement": "the page qsim/tutorials/gcp_gpu",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-21); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:qsim/tutorials/multinode",
      "source": "quantumai.google/qsim/tutorials/multinode",
      "lastmod": "2026-10-21",
      "statement": "the page qsim/tutorials/multinode",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-21); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:qsim/tutorials/noisy_qsimcirq",
      "source": "quantumai.google/qsim/tutorials/noisy_qsimcirq",
      "lastmod": "2026-03-06",
      "statement": "the page qsim/tutorials/noisy_qsimcirq",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-03-06); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:qsim/tutorials/q32d14",
      "source": "quantumai.google/qsim/tutorials/q32d14",
      "lastmod": "2026-03-06",
      "statement": "the page qsim/tutorials/q32d14",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-03-06); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:qsim/tutorials/qsimcirq_gcp",
      "source": "quantumai.google/qsim/tutorials/qsimcirq_gcp",
      "lastmod": "2026-10-21",
      "statement": "the page qsim/tutorials/qsimcirq_gcp",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-21); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:qsim/type_reference",
      "source": "quantumai.google/qsim/type_reference",
      "lastmod": "2026-03-06",
      "statement": "the page qsim/type_reference",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-03-06); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:qsim/usage",
      "source": "quantumai.google/qsim/usage",
      "lastmod": "2026-10-07",
      "statement": "the page qsim/usage",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-07); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim",
      "source": "quantumai.google/reference/cc/qsim",
      "lastmod": "2025-07-24",
      "statement": "the page reference/cc/qsim",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/cc/qsim/class/qsim/basic-gate-fuser",
      "source": "quantumai.google/reference/cc/qsim/class/qsim/basic-gate-fuser",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.class.qsim.basic-gate-fuser, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/class/qsim/circuit-qsim-parser",
      "source": "quantumai.google/reference/cc/qsim/class/qsim/circuit-qsim-parser",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.class.qsim.circuit-qsim-parser, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/cc/qsim/class/qsim/fuser",
      "source": "quantumai.google/reference/cc/qsim/class/qsim/fuser",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.class.qsim.fuser, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/cc/qsim/class/qsim/simulator-a-v-x",
      "source": "quantumai.google/reference/cc/qsim/class/qsim/simulator-a-v-x",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.class.qsim.simulator-a-v-x, not implemented here",
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    {
      "id": "page:reference/cc/qsim/class/qsim/simulator-basic",
      "source": "quantumai.google/reference/cc/qsim/class/qsim/simulator-basic",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.class.qsim.simulator-basic, not implemented here",
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      "id": "page:reference/cc/qsim/class/qsim/simulator-s-s-e",
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      "statement": "API reference of qsim.class.qsim.simulator-s-s-e, not implemented here",
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    {
      "id": "page:reference/cc/qsim/class/qsim/state-space",
      "source": "quantumai.google/reference/cc/qsim/class/qsim/state-space",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.class.qsim.state-space, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/cc/qsim/class/qsim/state-space-a-v-x",
      "source": "quantumai.google/reference/cc/qsim/class/qsim/state-space-a-v-x",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.class.qsim.state-space-a-v-x, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/cc/qsim/class/qsim/state-space-basic",
      "source": "quantumai.google/reference/cc/qsim/class/qsim/state-space-basic",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.class.qsim.state-space-basic, not implemented here",
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      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/cc/qsim/class/qsim/state-space-s-s-e",
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      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.class.qsim.state-space-s-s-e, not implemented here",
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      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/cc/qsim/class/qsim/unitary/unitary-calculator-basic",
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      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.class.qsim.unitary.unitary-calculator-basic, not implemented here",
      "status": "open",
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    {
      "id": "page:reference/cc/qsim/class/qsim/unitary/unitary-space",
      "source": "quantumai.google/reference/cc/qsim/class/qsim/unitary/unitary-space",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.class.qsim.unitary.unitary-space, not implemented here",
      "status": "open",
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    {
      "id": "page:reference/cc/qsim/namespace/qsim",
      "source": "quantumai.google/reference/cc/qsim/namespace/qsim",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.namespace.qsim, not implemented here",
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      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/cc/qsim/namespace/qsim/cirq",
      "source": "quantumai.google/reference/cc/qsim/namespace/qsim/cirq",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.namespace.qsim.cirq, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/cc/qsim/namespace/qsim/detail",
      "source": "quantumai.google/reference/cc/qsim/namespace/qsim/detail",
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    {
      "id": "page:reference/cc/qsim/namespace/qsim/gate",
      "source": "quantumai.google/reference/cc/qsim/namespace/qsim/gate",
      "lastmod": "2025-07-24",
      "statement": "API reference of qsim.namespace.qsim.gate, not implemented here",
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      "id": "page:reference/cc/qsim/namespace/qsim/unitary",
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      "statement": "API reference of qsim.namespace.qsim.unitary, not implemented here",
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    {
      "id": "page:reference/cc/qsim/struct/qsim/basic-gate-fuser/parameter",
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      "statement": "API reference of qsim.struct.qsim.basic-gate-fuser.parameter, not implemented here",
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    {
      "id": "page:reference/cc/qsim/struct/qsim/circuit",
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    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/c-c-x",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/c-c-x",
      "lastmod": "2026-04-04",
      "statement": "API reference of qsim.struct.qsim.cirq.c-c-x, not implemented here",
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    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/c-c-x-pow-gate",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/c-c-x-pow-gate",
      "lastmod": "2026-03-18",
      "statement": "API reference of qsim.struct.qsim.cirq.c-c-x-pow-gate, not implemented here",
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    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/c-c-z",
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      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.c-c-z, not implemented here",
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    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/c-c-z-pow-gate",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/c-c-z-pow-gate",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.c-c-z-pow-gate, not implemented here",
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    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/c-swap-gate",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/c-swap-gate",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.c-swap-gate, not implemented here",
      "status": "open",
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    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/c-x",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/c-x",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.c-x, not implemented here",
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    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/c-x-pow-gate",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/c-x-pow-gate",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.c-x-pow-gate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/c-z",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/c-z",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.c-z, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/c-z-pow-gate",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/c-z-pow-gate",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.c-z-pow-gate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/f-sim-gate",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/f-sim-gate",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.f-sim-gate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/givens",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/givens",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.givens, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/h",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/h",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.h, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/h-pow-gate",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/h-pow-gate",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.h-pow-gate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/i",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/i",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.i, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/i-s-w-a-p",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/i-s-w-a-p",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.i-s-w-a-p, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/i-swap-pow-gate",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/i-swap-pow-gate",
      "lastmod": "2026-09-17",
      "statement": "API reference of qsim.struct.qsim.cirq.i-swap-pow-gate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-09-17); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/i1",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/i1",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.i1, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/i2",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/i2",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.i2, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/matrix-gate",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/matrix-gate",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.matrix-gate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/matrix-gate1",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/matrix-gate1",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.matrix-gate1, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/matrix-gate2",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/matrix-gate2",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.matrix-gate2, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/phased-i-swap-pow-gate",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/phased-i-swap-pow-gate",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.phased-i-swap-pow-gate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/phased-x-pow-gate",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/phased-x-pow-gate",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.phased-x-pow-gate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/phased-x-z-gate",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/phased-x-z-gate",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.phased-x-z-gate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/riswap",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/riswap",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.riswap, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/rx",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/rx",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.rx, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/ry",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/ry",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.ry, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/rz",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/rz",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.rz, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/s",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/s",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.s, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/s-w-a-p",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/s-w-a-p",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.s-w-a-p, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/swap-pow-gate",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/swap-pow-gate",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.swap-pow-gate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/t",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/t",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.t, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/three-qubit-diagonal-gate",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/three-qubit-diagonal-gate",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.three-qubit-diagonal-gate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/two-qubit-diagonal-gate",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/two-qubit-diagonal-gate",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.two-qubit-diagonal-gate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/x",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/x",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.x, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/x-pow-gate",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/x-pow-gate",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.x-pow-gate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/x-x",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/x-x",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.x-x, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/x-x-pow-gate",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/x-x-pow-gate",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.x-x-pow-gate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/y",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/y",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.y, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/y-pow-gate",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/y-pow-gate",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.y-pow-gate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/y-y",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/y-y",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.y-y, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/y-y-pow-gate",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/y-y-pow-gate",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.y-y-pow-gate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/z",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/z",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.z, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/z-pow-gate",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/z-pow-gate",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.z-pow-gate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/z-z",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/z-z",
      "lastmod": "2026-03-27",
      "statement": "API reference of qsim.struct.qsim.cirq.z-z, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-03-27); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/cirq/z-z-pow-gate",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/cirq/z-z-pow-gate",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.cirq.z-z-pow-gate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/gate",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/gate",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.gate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/gate-c-not",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/gate-c-not",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.gate-c-not, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/gate-c-p",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/gate-c-p",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.gate-c-p, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/gate-c-z",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/gate-c-z",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.gate-c-z, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/gate-f-s",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/gate-f-s",
      "lastmod": "2026-08-04",
      "statement": "API reference of qsim.struct.qsim.gate-f-s, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-08-04); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/gate-fused",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/gate-fused",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.gate-fused, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/gate-h-z2",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/gate-h-z2",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.gate-h-z2, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/gate-hd",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/gate-hd",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.gate-hd, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/gate-i-s",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/gate-i-s",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.gate-i-s, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/gate-id1",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/gate-id1",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.gate-id1, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/gate-id2",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/gate-id2",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.gate-id2, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/gate-r-x",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/gate-r-x",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.gate-r-x, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/gate-r-x-y",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/gate-r-x-y",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.gate-r-x-y, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/gate-r-y",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/gate-r-y",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.gate-r-y, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/gate-r-z",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/gate-r-z",
      "lastmod": "2026-07-19",
      "statement": "API reference of qsim.struct.qsim.gate-r-z, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-19); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/gate-s",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/gate-s",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.gate-s, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/gate-swap",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/gate-swap",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.gate-swap, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/gate-t",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/gate-t",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.gate-t, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/gate-x",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/gate-x",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.gate-x, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/gate-x2",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/gate-x2",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.gate-x2, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/gate-y",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/gate-y",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.gate-y, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/gate-y2",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/gate-y2",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.gate-y2, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/gate-z",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/gate-z",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.gate-z, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/gate/measurement",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/gate/measurement",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.gate.measurement, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/hybrid-simulator",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/hybrid-simulator",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.hybrid-simulator, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/hybrid-simulator/hybrid-data",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/hybrid-simulator/hybrid-data",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.hybrid-simulator.hybrid-data, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/hybrid-simulator/parameter",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/hybrid-simulator/parameter",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.hybrid-simulator.parameter, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/i-o",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/i-o",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.i-o, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/i-o-file",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/i-o-file",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.i-o-file, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/parallel-for-t",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/parallel-for-t",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.parallel-for-t, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/q-sim-h-runner",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/q-sim-h-runner",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.q-sim-h-runner, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/q-sim-runner",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/q-sim-runner",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.q-sim-runner, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/q-sim-runner/parameter",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/q-sim-runner/parameter",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.q-sim-runner.parameter, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/sequential-for",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/sequential-for",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.sequential-for, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/state-space/measurement-result",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/state-space/measurement-result",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.state-space.measurement-result, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/cc/qsim/struct/qsim/unitary/unitary-space-basic",
      "source": "quantumai.google/reference/cc/qsim/struct/qsim/unitary/unitary-space-basic",
      "lastmod": "2026-02-18",
      "statement": "API reference of qsim.struct.qsim.unitary.unitary-space-basic, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-02-18); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq",
      "source": "quantumai.google/reference/python/cirq",
      "lastmod": "2026-10-24",
      "statement": "the page reference/python/cirq",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ABCMetaImplementAnyOneOf",
      "source": "quantumai.google/reference/python/cirq/ABCMetaImplementAnyOneOf",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.ABCMetaImplementAnyOneOf, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/AbstractCircuit",
      "source": "quantumai.google/reference/python/cirq/AbstractCircuit",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.AbstractCircuit, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/AbstractInitialMapper",
      "source": "quantumai.google/reference/python/cirq/AbstractInitialMapper",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.AbstractInitialMapper, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/Alignment",
      "source": "quantumai.google/reference/python/cirq/Alignment",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.Alignment, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/AmplitudeDampingChannel",
      "source": "quantumai.google/reference/python/cirq/AmplitudeDampingChannel",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.AmplitudeDampingChannel; implemented here as noisy",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/AnyIntegerPowerGateFamily",
      "source": "quantumai.google/reference/python/cirq/AnyIntegerPowerGateFamily",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.AnyIntegerPowerGateFamily, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/AnyUnitaryGateFamily",
      "source": "quantumai.google/reference/python/cirq/AnyUnitaryGateFamily",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.AnyUnitaryGateFamily, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ApplyChannelArgs",
      "source": "quantumai.google/reference/python/cirq/ApplyChannelArgs",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.ApplyChannelArgs, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ApplyMixtureArgs",
      "source": "quantumai.google/reference/python/cirq/ApplyMixtureArgs",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.ApplyMixtureArgs, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ApplyUnitaryArgs",
      "source": "quantumai.google/reference/python/cirq/ApplyUnitaryArgs",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.ApplyUnitaryArgs, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ArithmeticGate",
      "source": "quantumai.google/reference/python/cirq/ArithmeticGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.ArithmeticGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/AsymmetricDepolarizingChannel",
      "source": "quantumai.google/reference/python/cirq/AsymmetricDepolarizingChannel",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.AsymmetricDepolarizingChannel; implemented here as noisy",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/AxisAngleDecomposition",
      "source": "quantumai.google/reference/python/cirq/AxisAngleDecomposition",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.AxisAngleDecomposition, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/BaseDensePauliString",
      "source": "quantumai.google/reference/python/cirq/BaseDensePauliString",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.BaseDensePauliString, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/BitFlipChannel",
      "source": "quantumai.google/reference/python/cirq/BitFlipChannel",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.BitFlipChannel; implemented here as noisy",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/BitMaskKeyCondition",
      "source": "quantumai.google/reference/python/cirq/BitMaskKeyCondition",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.BitMaskKeyCondition, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/BooleanHamiltonianGate",
      "source": "quantumai.google/reference/python/cirq/BooleanHamiltonianGate",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.BooleanHamiltonianGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/CCNOT",
      "source": "quantumai.google/reference/python/cirq/CCNOT",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.CCNOT; implemented here as TOFFOLI",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/CCNotPowGate",
      "source": "quantumai.google/reference/python/cirq/CCNotPowGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.CCNotPowGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/CCY",
      "source": "quantumai.google/reference/python/cirq/CCY",
      "lastmod": "2026-07-03",
      "statement": "API reference of cirq.CCY, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-03); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/CCYPowGate",
      "source": "quantumai.google/reference/python/cirq/CCYPowGate",
      "lastmod": "2026-07-03",
      "statement": "API reference of cirq.CCYPowGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-03); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/CCZ",
      "source": "quantumai.google/reference/python/cirq/CCZ",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.CCZ, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/CCZPowGate",
      "source": "quantumai.google/reference/python/cirq/CCZPowGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.CCZPowGate; implemented here as powerOf (CCZ**t is not built; TOFFOLI**t is)",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/CNOT",
      "source": "quantumai.google/reference/python/cirq/CNOT",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.CNOT; implemented here as CNOT",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/CNotPowGate",
      "source": "quantumai.google/reference/python/cirq/CNotPowGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.CNotPowGate; implemented here as powerOf (CNOT**t)",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/CSWAP",
      "source": "quantumai.google/reference/python/cirq/CSWAP",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.CSWAP, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/CSwapGate",
      "source": "quantumai.google/reference/python/cirq/CSwapGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.CSwapGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/CXSWAP",
      "source": "quantumai.google/reference/python/cirq/CXSWAP",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.CXSWAP, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/CY",
      "source": "quantumai.google/reference/python/cirq/CY",
      "lastmod": "2026-07-03",
      "statement": "API reference of cirq.CY, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-03); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/CYPowGate",
      "source": "quantumai.google/reference/python/cirq/CYPowGate",
      "lastmod": "2026-07-03",
      "statement": "API reference of cirq.CYPowGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-03); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/CZ",
      "source": "quantumai.google/reference/python/cirq/CZ",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.CZ; implemented here as CZ",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/CZPowGate",
      "source": "quantumai.google/reference/python/cirq/CZPowGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.CZPowGate; implemented here as powerOf (CZ**t)",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/CZSWAP",
      "source": "quantumai.google/reference/python/cirq/CZSWAP",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.CZSWAP, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/CZTargetGateset",
      "source": "quantumai.google/reference/python/cirq/CZTargetGateset",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.CZTargetGateset, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/Circuit",
      "source": "quantumai.google/reference/python/cirq/Circuit",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.Circuit; implemented here as Circuit (moments, append with an insert strategy, qubits in key order)",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/CircuitDiagramInfo",
      "source": "quantumai.google/reference/python/cirq/CircuitDiagramInfo",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.CircuitDiagramInfo, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/CircuitDiagramInfoArgs",
      "source": "quantumai.google/reference/python/cirq/CircuitDiagramInfoArgs",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.CircuitDiagramInfoArgs, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/CircuitFunction",
      "source": "quantumai.google/reference/python/cirq/CircuitFunction",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.CircuitFunction, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/CircuitOperation",
      "source": "quantumai.google/reference/python/cirq/CircuitOperation",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.CircuitOperation, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/CircuitSampleJob",
      "source": "quantumai.google/reference/python/cirq/CircuitSampleJob",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.CircuitSampleJob, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ClassicalDataDictionaryStore",
      "source": "quantumai.google/reference/python/cirq/ClassicalDataDictionaryStore",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.ClassicalDataDictionaryStore, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ClassicalDataStore",
      "source": "quantumai.google/reference/python/cirq/ClassicalDataStore",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.ClassicalDataStore, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ClassicalDataStoreReader",
      "source": "quantumai.google/reference/python/cirq/ClassicalDataStoreReader",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.ClassicalDataStoreReader, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ClassicalStateSimulator",
      "source": "quantumai.google/reference/python/cirq/ClassicalStateSimulator",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.ClassicalStateSimulator, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ClassicallyControlledOperation",
      "source": "quantumai.google/reference/python/cirq/ClassicallyControlledOperation",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.ClassicallyControlledOperation, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/CliffordGate",
      "source": "quantumai.google/reference/python/cirq/CliffordGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.CliffordGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/CliffordSimulator",
      "source": "quantumai.google/reference/python/cirq/CliffordSimulator",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.CliffordSimulator, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/CliffordSimulatorStepResult",
      "source": "quantumai.google/reference/python/cirq/CliffordSimulatorStepResult",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.CliffordSimulatorStepResult, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/CliffordState",
      "source": "quantumai.google/reference/python/cirq/CliffordState",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.CliffordState, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/CliffordTableau",
      "source": "quantumai.google/reference/python/cirq/CliffordTableau",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.CliffordTableau, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/CliffordTableauSimulationState",
      "source": "quantumai.google/reference/python/cirq/CliffordTableauSimulationState",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.CliffordTableauSimulationState, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/CliffordTrialResult",
      "source": "quantumai.google/reference/python/cirq/CliffordTrialResult",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.CliffordTrialResult, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/Collector",
      "source": "quantumai.google/reference/python/cirq/Collector",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.Collector, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/CompilationTargetGateset",
      "source": "quantumai.google/reference/python/cirq/CompilationTargetGateset",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.CompilationTargetGateset, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/Concat",
      "source": "quantumai.google/reference/python/cirq/Concat",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.Concat, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/Condition",
      "source": "quantumai.google/reference/python/cirq/Condition",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.Condition, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ConstantQubitNoiseModel",
      "source": "quantumai.google/reference/python/cirq/ConstantQubitNoiseModel",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.ConstantQubitNoiseModel, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ControlledGate",
      "source": "quantumai.google/reference/python/cirq/ControlledGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.ControlledGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ControlledOperation",
      "source": "quantumai.google/reference/python/cirq/ControlledOperation",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.ControlledOperation, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/DURATION_LIKE",
      "source": "quantumai.google/reference/python/cirq/DURATION_LIKE",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.DURATION_LIKE, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/DecompositionContext",
      "source": "quantumai.google/reference/python/cirq/DecompositionContext",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.DecompositionContext, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/DensePauliString",
      "source": "quantumai.google/reference/python/cirq/DensePauliString",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.DensePauliString; implemented here as pauliProduct (a Pauli string as one gate)",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/DensityMatrixSimulationState",
      "source": "quantumai.google/reference/python/cirq/DensityMatrixSimulationState",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.DensityMatrixSimulationState, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/DensityMatrixSimulator",
      "source": "quantumai.google/reference/python/cirq/DensityMatrixSimulator",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.DensityMatrixSimulator; implemented here as DensityMatrixSimulator (exact channels, up to 8 qubits)",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/DensityMatrixStepResult",
      "source": "quantumai.google/reference/python/cirq/DensityMatrixStepResult",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.DensityMatrixStepResult, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/DensityMatrixTrialResult",
      "source": "quantumai.google/reference/python/cirq/DensityMatrixTrialResult",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.DensityMatrixTrialResult, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/DepolarizingChannel",
      "source": "quantumai.google/reference/python/cirq/DepolarizingChannel",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.DepolarizingChannel; implemented here as noisy",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/Device",
      "source": "quantumai.google/reference/python/cirq/Device",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.Device; implemented here as Device (validate_operation, validate_moment, validate_circuit)",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/DeviceMetadata",
      "source": "quantumai.google/reference/python/cirq/DeviceMetadata",
      "lastmod": "2026-07-22",
      "statement": "API reference of cirq.DeviceMetadata, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-22); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/DiagonalGate",
      "source": "quantumai.google/reference/python/cirq/DiagonalGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.DiagonalGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/Duration",
      "source": "quantumai.google/reference/python/cirq/Duration",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.Duration, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/EigenGate",
      "source": "quantumai.google/reference/python/cirq/EigenGate",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.EigenGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ExpressionMap",
      "source": "quantumai.google/reference/python/cirq/ExpressionMap",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.ExpressionMap, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/FSimGate",
      "source": "quantumai.google/reference/python/cirq/FSimGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.FSimGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/FrozenCircuit",
      "source": "quantumai.google/reference/python/cirq/FrozenCircuit",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.FrozenCircuit, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/Gate",
      "source": "quantumai.google/reference/python/cirq/Gate",
      "lastmod": "2026-07-13",
      "statement": "API reference of cirq.Gate; implemented here as applied (a gate is its name, arity and unitary)",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/GateFamily",
      "source": "quantumai.google/reference/python/cirq/GateFamily",
      "lastmod": "2026-10-16",
      "statement": "API reference of cirq.GateFamily, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-16); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/GateOperation",
      "source": "quantumai.google/reference/python/cirq/GateOperation",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.GateOperation; implemented here as applied (gate.on(*qubits))",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/Gateset",
      "source": "quantumai.google/reference/python/cirq/Gateset",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.Gateset, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/GeneralizedAmplitudeDampingChannel",
      "source": "quantumai.google/reference/python/cirq/GeneralizedAmplitudeDampingChannel",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.GeneralizedAmplitudeDampingChannel; implemented here as noisy",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/GlobalPhaseGate",
      "source": "quantumai.google/reference/python/cirq/GlobalPhaseGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.GlobalPhaseGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/GreedyQubitManager",
      "source": "quantumai.google/reference/python/cirq/GreedyQubitManager",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.GreedyQubitManager, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/GridDeviceMetadata",
      "source": "quantumai.google/reference/python/cirq/GridDeviceMetadata",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.GridDeviceMetadata, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/GridQid",
      "source": "quantumai.google/reference/python/cirq/GridQid",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.GridQid, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/GridQubit",
      "source": "quantumai.google/reference/python/cirq/GridQubit",
      "lastmod": "2026-07-13",
      "statement": "API reference of cirq.GridQubit; implemented here as GridQubit (of and square)",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/H",
      "source": "quantumai.google/reference/python/cirq/H",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.H; implemented here as H",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/HPowGate",
      "source": "quantumai.google/reference/python/cirq/HPowGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.HPowGate; implemented here as powerOf (H**t)",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/HardCodedInitialMapper",
      "source": "quantumai.google/reference/python/cirq/HardCodedInitialMapper",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.HardCodedInitialMapper, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/HasJSONNamespace",
      "source": "quantumai.google/reference/python/cirq/HasJSONNamespace",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.HasJSONNamespace, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/Heatmap",
      "source": "quantumai.google/reference/python/cirq/Heatmap",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.Heatmap, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/I",
      "source": "quantumai.google/reference/python/cirq/I",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.I, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ISWAP",
      "source": "quantumai.google/reference/python/cirq/ISWAP",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.ISWAP, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ISWAP_INV",
      "source": "quantumai.google/reference/python/cirq/ISWAP_INV",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.ISWAP_INV, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ISwapPowGate",
      "source": "quantumai.google/reference/python/cirq/ISwapPowGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.ISwapPowGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/IdentityGate",
      "source": "quantumai.google/reference/python/cirq/IdentityGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.IdentityGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/If",
      "source": "quantumai.google/reference/python/cirq/If",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.If, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/InsertStrategy",
      "source": "quantumai.google/reference/python/cirq/InsertStrategy",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.InsertStrategy; implemented here as Circuit (EARLIEST, NEW, INLINE, NEW_THEN_INLINE)",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/InterchangeableQubitsGate",
      "source": "quantumai.google/reference/python/cirq/InterchangeableQubitsGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.InterchangeableQubitsGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/JsonResolver",
      "source": "quantumai.google/reference/python/cirq/JsonResolver",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.JsonResolver, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/KET_IMAG",
      "source": "quantumai.google/reference/python/cirq/KET_IMAG",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.KET_IMAG, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/KET_MINUS",
      "source": "quantumai.google/reference/python/cirq/KET_MINUS",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.KET_MINUS, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/KET_MINUS_IMAG",
      "source": "quantumai.google/reference/python/cirq/KET_MINUS_IMAG",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.KET_MINUS_IMAG, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/KET_ONE",
      "source": "quantumai.google/reference/python/cirq/KET_ONE",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.KET_ONE, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/KET_PLUS",
      "source": "quantumai.google/reference/python/cirq/KET_PLUS",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.KET_PLUS, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/KET_ZERO",
      "source": "quantumai.google/reference/python/cirq/KET_ZERO",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.KET_ZERO, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/KakDecomposition",
      "source": "quantumai.google/reference/python/cirq/KakDecomposition",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.KakDecomposition, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/KeyCondition",
      "source": "quantumai.google/reference/python/cirq/KeyCondition",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.KeyCondition, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/KrausChannel",
      "source": "quantumai.google/reference/python/cirq/KrausChannel",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.KrausChannel, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/LabelEntity",
      "source": "quantumai.google/reference/python/cirq/LabelEntity",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.LabelEntity, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/LineInitialMapper",
      "source": "quantumai.google/reference/python/cirq/LineInitialMapper",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.LineInitialMapper, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/LineQid",
      "source": "quantumai.google/reference/python/cirq/LineQid",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.LineQid, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/LineQubit",
      "source": "quantumai.google/reference/python/cirq/LineQubit",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.LineQubit; implemented here as LineQubit (of and range)",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/LineTopology",
      "source": "quantumai.google/reference/python/cirq/LineTopology",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.LineTopology, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/LinearCombinationOfGates",
      "source": "quantumai.google/reference/python/cirq/LinearCombinationOfGates",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.LinearCombinationOfGates, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/LinearCombinationOfOperations",
      "source": "quantumai.google/reference/python/cirq/LinearCombinationOfOperations",
      "lastmod": "2026-10-16",
      "statement": "API reference of cirq.LinearCombinationOfOperations, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-16); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/LinearDict",
      "source": "quantumai.google/reference/python/cirq/LinearDict",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.LinearDict, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/Linspace",
      "source": "quantumai.google/reference/python/cirq/Linspace",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.Linspace, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ListSweep",
      "source": "quantumai.google/reference/python/cirq/ListSweep",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.ListSweep, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/M",
      "source": "quantumai.google/reference/python/cirq/M",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.M, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/MSGate",
      "source": "quantumai.google/reference/python/cirq/MSGate",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.MSGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/MappingManager",
      "source": "quantumai.google/reference/python/cirq/MappingManager",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.MappingManager, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/MatrixGate",
      "source": "quantumai.google/reference/python/cirq/MatrixGate",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.MatrixGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/MeasurementGate",
      "source": "quantumai.google/reference/python/cirq/MeasurementGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.MeasurementGate; implemented here as measure",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/MeasurementKey",
      "source": "quantumai.google/reference/python/cirq/MeasurementKey",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.MeasurementKey, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/MeasurementType",
      "source": "quantumai.google/reference/python/cirq/MeasurementType",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.MeasurementType, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/MixedUnitaryChannel",
      "source": "quantumai.google/reference/python/cirq/MixedUnitaryChannel",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.MixedUnitaryChannel, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/Moment",
      "source": "quantumai.google/reference/python/cirq/Moment",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.Moment; implemented here as Moment (operations on disjoint qubits)",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/MutableDensePauliString",
      "source": "quantumai.google/reference/python/cirq/MutableDensePauliString",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.MutableDensePauliString, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/MutablePauliString",
      "source": "quantumai.google/reference/python/cirq/MutablePauliString",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.MutablePauliString, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/NOISE_MODEL_LIKE",
      "source": "quantumai.google/reference/python/cirq/NOISE_MODEL_LIKE",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.NOISE_MODEL_LIKE, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/NamedQid",
      "source": "quantumai.google/reference/python/cirq/NamedQid",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.NamedQid, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/NamedQubit",
      "source": "quantumai.google/reference/python/cirq/NamedQubit",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.NamedQubit; implemented here as NamedQubit (of)",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/NamedTopology",
      "source": "quantumai.google/reference/python/cirq/NamedTopology",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.NamedTopology, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/NoiseModel",
      "source": "quantumai.google/reference/python/cirq/NoiseModel",
      "lastmod": "2026-07-13",
      "statement": "API reference of cirq.NoiseModel, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-13); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/NoiseModelFromNoiseProperties",
      "source": "quantumai.google/reference/python/cirq/NoiseModelFromNoiseProperties",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.NoiseModelFromNoiseProperties, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/NoiseProperties",
      "source": "quantumai.google/reference/python/cirq/NoiseProperties",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.NoiseProperties, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/OpIdentifier",
      "source": "quantumai.google/reference/python/cirq/OpIdentifier",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.OpIdentifier, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/Operation",
      "source": "quantumai.google/reference/python/cirq/Operation",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.Operation; implemented here as applied",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/PAULI_GATE_LIKE",
      "source": "quantumai.google/reference/python/cirq/PAULI_GATE_LIKE",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.PAULI_GATE_LIKE, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/PAULI_STRING_LIKE",
      "source": "quantumai.google/reference/python/cirq/PAULI_STRING_LIKE",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.PAULI_STRING_LIKE, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ParallelGate",
      "source": "quantumai.google/reference/python/cirq/ParallelGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.ParallelGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ParallelGateFamily",
      "source": "quantumai.google/reference/python/cirq/ParallelGateFamily",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.ParallelGateFamily, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ParamDictType",
      "source": "quantumai.google/reference/python/cirq/ParamDictType",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.ParamDictType, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ParamMappingType",
      "source": "quantumai.google/reference/python/cirq/ParamMappingType",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.ParamMappingType, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ParamResolver",
      "source": "quantumai.google/reference/python/cirq/ParamResolver",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.ParamResolver, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ParamResolverOrSimilarType",
      "source": "quantumai.google/reference/python/cirq/ParamResolverOrSimilarType",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.ParamResolverOrSimilarType, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/Pauli",
      "source": "quantumai.google/reference/python/cirq/Pauli",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.Pauli, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/PauliInteractionGate",
      "source": "quantumai.google/reference/python/cirq/PauliInteractionGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.PauliInteractionGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/PauliMeasurementGate",
      "source": "quantumai.google/reference/python/cirq/PauliMeasurementGate",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.PauliMeasurementGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/PauliString",
      "source": "quantumai.google/reference/python/cirq/PauliString",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.PauliString; implemented here as expectationOf (a Pauli observable by qubit)",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/PauliStringGateOperation",
      "source": "quantumai.google/reference/python/cirq/PauliStringGateOperation",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.PauliStringGateOperation, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/PauliStringPhasor",
      "source": "quantumai.google/reference/python/cirq/PauliStringPhasor",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.PauliStringPhasor, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/PauliStringPhasorGate",
      "source": "quantumai.google/reference/python/cirq/PauliStringPhasorGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.PauliStringPhasorGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/PauliSum",
      "source": "quantumai.google/reference/python/cirq/PauliSum",
      "lastmod": "2026-07-07",
      "statement": "API reference of cirq.PauliSum, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-07); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/PauliSumCollector",
      "source": "quantumai.google/reference/python/cirq/PauliSumCollector",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.PauliSumCollector, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/PauliSumExponential",
      "source": "quantumai.google/reference/python/cirq/PauliSumExponential",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.PauliSumExponential, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/PauliSumLike",
      "source": "quantumai.google/reference/python/cirq/PauliSumLike",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.PauliSumLike, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/PeriodicValue",
      "source": "quantumai.google/reference/python/cirq/PeriodicValue",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.PeriodicValue, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/PhaseDampingChannel",
      "source": "quantumai.google/reference/python/cirq/PhaseDampingChannel",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.PhaseDampingChannel; implemented here as noisy",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/PhaseFlipChannel",
      "source": "quantumai.google/reference/python/cirq/PhaseFlipChannel",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.PhaseFlipChannel; implemented here as noisy",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/PhaseGradientGate",
      "source": "quantumai.google/reference/python/cirq/PhaseGradientGate",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.PhaseGradientGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/PhasedFSimGate",
      "source": "quantumai.google/reference/python/cirq/PhasedFSimGate",
      "lastmod": "2026-07-13",
      "statement": "API reference of cirq.PhasedFSimGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-13); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/PhasedISwapPowGate",
      "source": "quantumai.google/reference/python/cirq/PhasedISwapPowGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.PhasedISwapPowGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/PhasedXPowGate",
      "source": "quantumai.google/reference/python/cirq/PhasedXPowGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.PhasedXPowGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/PhasedXZGate",
      "source": "quantumai.google/reference/python/cirq/PhasedXZGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.PhasedXZGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/PointOptimizationSummary",
      "source": "quantumai.google/reference/python/cirq/PointOptimizationSummary",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.PointOptimizationSummary, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/PointOptimizer",
      "source": "quantumai.google/reference/python/cirq/PointOptimizer",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.PointOptimizer, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/Points",
      "source": "quantumai.google/reference/python/cirq/Points",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.Points, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/Product",
      "source": "quantumai.google/reference/python/cirq/Product",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.Product, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ProductOfSums",
      "source": "quantumai.google/reference/python/cirq/ProductOfSums",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.ProductOfSums, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ProductState",
      "source": "quantumai.google/reference/python/cirq/ProductState",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.ProductState, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ProjectorString",
      "source": "quantumai.google/reference/python/cirq/ProjectorString",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.ProjectorString, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ProjectorSum",
      "source": "quantumai.google/reference/python/cirq/ProjectorSum",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.ProjectorSum, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/QUANTUM_STATE_LIKE",
      "source": "quantumai.google/reference/python/cirq/QUANTUM_STATE_LIKE",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.QUANTUM_STATE_LIKE, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/QasmArgs",
      "source": "quantumai.google/reference/python/cirq/QasmArgs",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.QasmArgs, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/QasmOutput",
      "source": "quantumai.google/reference/python/cirq/QasmOutput",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.QasmOutput, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/Qid",
      "source": "quantumai.google/reference/python/cirq/Qid",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.Qid; implemented here as keyOf (the qubit key that orders and compares qubits)",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/QuantumFourierTransformGate",
      "source": "quantumai.google/reference/python/cirq/QuantumFourierTransformGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.QuantumFourierTransformGate; implemented here as Circuit (qftOperations in algorithms.ts)",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/QuantumState",
      "source": "quantumai.google/reference/python/cirq/QuantumState",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.QuantumState, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/QuantumStateRepresentation",
      "source": "quantumai.google/reference/python/cirq/QuantumStateRepresentation",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.QuantumStateRepresentation, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/QubitManager",
      "source": "quantumai.google/reference/python/cirq/QubitManager",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.QubitManager, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/QubitOrder",
      "source": "quantumai.google/reference/python/cirq/QubitOrder",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.QubitOrder, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/QubitPermutationGate",
      "source": "quantumai.google/reference/python/cirq/QubitPermutationGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.QubitPermutationGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/R",
      "source": "quantumai.google/reference/python/cirq/R",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.R, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/RandomGateChannel",
      "source": "quantumai.google/reference/python/cirq/RandomGateChannel",
      "lastmod": "2026-10-12",
      "statement": "API reference of cirq.RandomGateChannel, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-12); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ResetChannel",
      "source": "quantumai.google/reference/python/cirq/ResetChannel",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.ResetChannel; implemented here as noisy",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/Result",
      "source": "quantumai.google/reference/python/cirq/Result",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.Result; implemented here as Result (measurements and histogram)",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/ResultDict",
      "source": "quantumai.google/reference/python/cirq/ResultDict",
      "lastmod": "2026-10-12",
      "statement": "API reference of cirq.ResultDict, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-12); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/RouteCQC",
      "source": "quantumai.google/reference/python/cirq/RouteCQC",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.RouteCQC, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/RoutingSwapTag",
      "source": "quantumai.google/reference/python/cirq/RoutingSwapTag",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.RoutingSwapTag, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/Rx",
      "source": "quantumai.google/reference/python/cirq/Rx",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.Rx, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/Ry",
      "source": "quantumai.google/reference/python/cirq/Ry",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.Ry, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/Rz",
      "source": "quantumai.google/reference/python/cirq/Rz",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.Rz, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/S",
      "source": "quantumai.google/reference/python/cirq/S",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.S; implemented here as powerOf (Z**0.5)",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/SQRT_ISWAP",
      "source": "quantumai.google/reference/python/cirq/SQRT_ISWAP",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.SQRT_ISWAP, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SQRT_ISWAP_INV",
      "source": "quantumai.google/reference/python/cirq/SQRT_ISWAP_INV",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.SQRT_ISWAP_INV, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/STATE_VECTOR_LIKE",
      "source": "quantumai.google/reference/python/cirq/STATE_VECTOR_LIKE",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.STATE_VECTOR_LIKE, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SWAP",
      "source": "quantumai.google/reference/python/cirq/SWAP",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.SWAP; implemented here as SWAP",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/Sampler",
      "source": "quantumai.google/reference/python/cirq/Sampler",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.Sampler, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SerializableByKey",
      "source": "quantumai.google/reference/python/cirq/SerializableByKey",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.SerializableByKey, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SetVariable",
      "source": "quantumai.google/reference/python/cirq/SetVariable",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.SetVariable, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SimpleQubitManager",
      "source": "quantumai.google/reference/python/cirq/SimpleQubitManager",
      "lastmod": "2026-07-11",
      "statement": "API reference of cirq.SimpleQubitManager, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-11); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SimulatesAmplitudes",
      "source": "quantumai.google/reference/python/cirq/SimulatesAmplitudes",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.SimulatesAmplitudes, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SimulatesExpectationValues",
      "source": "quantumai.google/reference/python/cirq/SimulatesExpectationValues",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.SimulatesExpectationValues, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SimulatesFinalState",
      "source": "quantumai.google/reference/python/cirq/SimulatesFinalState",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.SimulatesFinalState, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SimulatesIntermediateState",
      "source": "quantumai.google/reference/python/cirq/SimulatesIntermediateState",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.SimulatesIntermediateState, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SimulatesIntermediateStateVector",
      "source": "quantumai.google/reference/python/cirq/SimulatesIntermediateStateVector",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.SimulatesIntermediateStateVector, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SimulatesSamples",
      "source": "quantumai.google/reference/python/cirq/SimulatesSamples",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.SimulatesSamples, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SimulationProductState",
      "source": "quantumai.google/reference/python/cirq/SimulationProductState",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.SimulationProductState, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SimulationState",
      "source": "quantumai.google/reference/python/cirq/SimulationState",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.SimulationState, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SimulationStateBase",
      "source": "quantumai.google/reference/python/cirq/SimulationStateBase",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.SimulationStateBase, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SimulationTrialResult",
      "source": "quantumai.google/reference/python/cirq/SimulationTrialResult",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.SimulationTrialResult, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SimulationTrialResultBase",
      "source": "quantumai.google/reference/python/cirq/SimulationTrialResultBase",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.SimulationTrialResultBase, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/Simulator",
      "source": "quantumai.google/reference/python/cirq/Simulator",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.Simulator; implemented here as Simulator (simulate (the state vector) and run (sampled bitstrings), up to 20 qubits)",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/SimulatorBase",
      "source": "quantumai.google/reference/python/cirq/SimulatorBase",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.SimulatorBase, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SingleQubitCliffordGate",
      "source": "quantumai.google/reference/python/cirq/SingleQubitCliffordGate",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.SingleQubitCliffordGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SingleQubitPauliStringGateOperation",
      "source": "quantumai.google/reference/python/cirq/SingleQubitPauliStringGateOperation",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.SingleQubitPauliStringGateOperation, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SparseSimulatorStep",
      "source": "quantumai.google/reference/python/cirq/SparseSimulatorStep",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.SparseSimulatorStep, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SqrtIswapTargetGateset",
      "source": "quantumai.google/reference/python/cirq/SqrtIswapTargetGateset",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.SqrtIswapTargetGateset, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/StabilizerChFormSimulationState",
      "source": "quantumai.google/reference/python/cirq/StabilizerChFormSimulationState",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.StabilizerChFormSimulationState, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/StabilizerSampler",
      "source": "quantumai.google/reference/python/cirq/StabilizerSampler",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.StabilizerSampler, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/StabilizerSimulationState",
      "source": "quantumai.google/reference/python/cirq/StabilizerSimulationState",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.StabilizerSimulationState, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/StabilizerState",
      "source": "quantumai.google/reference/python/cirq/StabilizerState",
      "lastmod": "2026-07-11",
      "statement": "API reference of cirq.StabilizerState, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-11); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/StabilizerStateChForm",
      "source": "quantumai.google/reference/python/cirq/StabilizerStateChForm",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.StabilizerStateChForm, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/StatePreparationChannel",
      "source": "quantumai.google/reference/python/cirq/StatePreparationChannel",
      "lastmod": "2026-10-10",
      "statement": "API reference of cirq.StatePreparationChannel, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-10); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/StateVectorMixin",
      "source": "quantumai.google/reference/python/cirq/StateVectorMixin",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.StateVectorMixin, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/StateVectorSimulationState",
      "source": "quantumai.google/reference/python/cirq/StateVectorSimulationState",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.StateVectorSimulationState, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/StateVectorStepResult",
      "source": "quantumai.google/reference/python/cirq/StateVectorStepResult",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.StateVectorStepResult, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/StateVectorTrialResult",
      "source": "quantumai.google/reference/python/cirq/StateVectorTrialResult",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.StateVectorTrialResult, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/StepResult",
      "source": "quantumai.google/reference/python/cirq/StepResult",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.StepResult, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/StepResultBase",
      "source": "quantumai.google/reference/python/cirq/StepResultBase",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.StepResultBase, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SumOfProducts",
      "source": "quantumai.google/reference/python/cirq/SumOfProducts",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.SumOfProducts, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SuperconductingQubitsNoiseProperties",
      "source": "quantumai.google/reference/python/cirq/SuperconductingQubitsNoiseProperties",
      "lastmod": "2026-07-11",
      "statement": "API reference of cirq.SuperconductingQubitsNoiseProperties, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-11); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SupportsActOn",
      "source": "quantumai.google/reference/python/cirq/SupportsActOn",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.SupportsActOn, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SupportsActOnQubits",
      "source": "quantumai.google/reference/python/cirq/SupportsActOnQubits",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.SupportsActOnQubits, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SupportsApplyChannel",
      "source": "quantumai.google/reference/python/cirq/SupportsApplyChannel",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.SupportsApplyChannel, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SupportsApplyMixture",
      "source": "quantumai.google/reference/python/cirq/SupportsApplyMixture",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.SupportsApplyMixture, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SupportsApproximateEquality",
      "source": "quantumai.google/reference/python/cirq/SupportsApproximateEquality",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.SupportsApproximateEquality, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SupportsCircuitDiagramInfo",
      "source": "quantumai.google/reference/python/cirq/SupportsCircuitDiagramInfo",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.SupportsCircuitDiagramInfo, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SupportsCommutes",
      "source": "quantumai.google/reference/python/cirq/SupportsCommutes",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.SupportsCommutes, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SupportsConsistentApplyUnitary",
      "source": "quantumai.google/reference/python/cirq/SupportsConsistentApplyUnitary",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.SupportsConsistentApplyUnitary, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SupportsControlKey",
      "source": "quantumai.google/reference/python/cirq/SupportsControlKey",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.SupportsControlKey, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SupportsDecompose",
      "source": "quantumai.google/reference/python/cirq/SupportsDecompose",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.SupportsDecompose, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SupportsDecomposeWithQubits",
      "source": "quantumai.google/reference/python/cirq/SupportsDecomposeWithQubits",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.SupportsDecomposeWithQubits, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SupportsEqualUpToGlobalPhase",
      "source": "quantumai.google/reference/python/cirq/SupportsEqualUpToGlobalPhase",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.SupportsEqualUpToGlobalPhase, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SupportsExplicitHasUnitary",
      "source": "quantumai.google/reference/python/cirq/SupportsExplicitHasUnitary",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.SupportsExplicitHasUnitary, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SupportsExplicitNumQubits",
      "source": "quantumai.google/reference/python/cirq/SupportsExplicitNumQubits",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.SupportsExplicitNumQubits, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SupportsExplicitQidShape",
      "source": "quantumai.google/reference/python/cirq/SupportsExplicitQidShape",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.SupportsExplicitQidShape, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SupportsJSON",
      "source": "quantumai.google/reference/python/cirq/SupportsJSON",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.SupportsJSON, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SupportsKraus",
      "source": "quantumai.google/reference/python/cirq/SupportsKraus",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.SupportsKraus, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SupportsMeasurementKey",
      "source": "quantumai.google/reference/python/cirq/SupportsMeasurementKey",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.SupportsMeasurementKey, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SupportsMixture",
      "source": "quantumai.google/reference/python/cirq/SupportsMixture",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.SupportsMixture, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SupportsParameterization",
      "source": "quantumai.google/reference/python/cirq/SupportsParameterization",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.SupportsParameterization, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SupportsPauliExpansion",
      "source": "quantumai.google/reference/python/cirq/SupportsPauliExpansion",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.SupportsPauliExpansion, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SupportsPhase",
      "source": "quantumai.google/reference/python/cirq/SupportsPhase",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.SupportsPhase, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SupportsQasm",
      "source": "quantumai.google/reference/python/cirq/SupportsQasm",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.SupportsQasm, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SupportsQasmWithArgs",
      "source": "quantumai.google/reference/python/cirq/SupportsQasmWithArgs",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.SupportsQasmWithArgs, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SupportsQasmWithArgsAndQubits",
      "source": "quantumai.google/reference/python/cirq/SupportsQasmWithArgsAndQubits",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.SupportsQasmWithArgsAndQubits, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SupportsTraceDistanceBound",
      "source": "quantumai.google/reference/python/cirq/SupportsTraceDistanceBound",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.SupportsTraceDistanceBound, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SupportsUnitary",
      "source": "quantumai.google/reference/python/cirq/SupportsUnitary",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.SupportsUnitary, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SwapPowGate",
      "source": "quantumai.google/reference/python/cirq/SwapPowGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.SwapPowGate; implemented here as powerOf (SWAP**t)",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/Sweep",
      "source": "quantumai.google/reference/python/cirq/Sweep",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.Sweep, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/Sweepable",
      "source": "quantumai.google/reference/python/cirq/Sweepable",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.Sweepable, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/SympyCondition",
      "source": "quantumai.google/reference/python/cirq/SympyCondition",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.SympyCondition, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/T",
      "source": "quantumai.google/reference/python/cirq/T",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.T; implemented here as powerOf (Z**0.25)",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/TRANSFORMER",
      "source": "quantumai.google/reference/python/cirq/TRANSFORMER",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.TRANSFORMER, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/TaggedOperation",
      "source": "quantumai.google/reference/python/cirq/TaggedOperation",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.TaggedOperation, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/TensoredConfusionMatrices",
      "source": "quantumai.google/reference/python/cirq/TensoredConfusionMatrices",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.TensoredConfusionMatrices, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/TextDiagramDrawer",
      "source": "quantumai.google/reference/python/cirq/TextDiagramDrawer",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.TextDiagramDrawer, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ThreeQubitDiagonalGate",
      "source": "quantumai.google/reference/python/cirq/ThreeQubitDiagonalGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.ThreeQubitDiagonalGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/TiltedSquareLattice",
      "source": "quantumai.google/reference/python/cirq/TiltedSquareLattice",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.TiltedSquareLattice, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/Timestamp",
      "source": "quantumai.google/reference/python/cirq/Timestamp",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.Timestamp, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/TransformerContext",
      "source": "quantumai.google/reference/python/cirq/TransformerContext",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.TransformerContext, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/TransformerLogger",
      "source": "quantumai.google/reference/python/cirq/TransformerLogger",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.TransformerLogger, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/TwoQubitCompilationTargetGateset",
      "source": "quantumai.google/reference/python/cirq/TwoQubitCompilationTargetGateset",
      "lastmod": "2026-10-14",
      "statement": "API reference of cirq.TwoQubitCompilationTargetGateset, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-14); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/TwoQubitDiagonalGate",
      "source": "quantumai.google/reference/python/cirq/TwoQubitDiagonalGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.TwoQubitDiagonalGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/TwoQubitGateTabulation",
      "source": "quantumai.google/reference/python/cirq/TwoQubitGateTabulation",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.TwoQubitGateTabulation, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/TwoQubitGateTabulationResult",
      "source": "quantumai.google/reference/python/cirq/TwoQubitGateTabulationResult",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.TwoQubitGateTabulationResult, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/TwoQubitInteractionHeatmap",
      "source": "quantumai.google/reference/python/cirq/TwoQubitInteractionHeatmap",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.TwoQubitInteractionHeatmap, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/TwoQubitNumericalCompilationResult",
      "source": "quantumai.google/reference/python/cirq/TwoQubitNumericalCompilationResult",
      "lastmod": "2026-10-20",
      "statement": "API reference of cirq.TwoQubitNumericalCompilationResult, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-20); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/TwoQubitNumericalCompiler",
      "source": "quantumai.google/reference/python/cirq/TwoQubitNumericalCompiler",
      "lastmod": "2026-10-20",
      "statement": "API reference of cirq.TwoQubitNumericalCompiler, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-20); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/UniformSuperpositionGate",
      "source": "quantumai.google/reference/python/cirq/UniformSuperpositionGate",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.UniformSuperpositionGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/VariableGridQid",
      "source": "quantumai.google/reference/python/cirq/VariableGridQid",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.VariableGridQid, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/VariableLineQid",
      "source": "quantumai.google/reference/python/cirq/VariableLineQid",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.VariableLineQid, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/VariableQid",
      "source": "quantumai.google/reference/python/cirq/VariableQid",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.VariableQid, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/VirtualTag",
      "source": "quantumai.google/reference/python/cirq/VirtualTag",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.VirtualTag, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/WaitGate",
      "source": "quantumai.google/reference/python/cirq/WaitGate",
      "lastmod": "2026-10-07",
      "statement": "API reference of cirq.WaitGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-07); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/While",
      "source": "quantumai.google/reference/python/cirq/While",
      "lastmod": "2026-10-21",
      "statement": "API reference of cirq.While, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-21); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/X",
      "source": "quantumai.google/reference/python/cirq/X",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.X; implemented here as X",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/XPowGate",
      "source": "quantumai.google/reference/python/cirq/XPowGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.XPowGate; implemented here as powerOf (X**t)",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/XX",
      "source": "quantumai.google/reference/python/cirq/XX",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.XX, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/XXPowGate",
      "source": "quantumai.google/reference/python/cirq/XXPowGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.XXPowGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/Y",
      "source": "quantumai.google/reference/python/cirq/Y",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.Y; implemented here as Y",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/YPowGate",
      "source": "quantumai.google/reference/python/cirq/YPowGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.YPowGate; implemented here as powerOf (Y**t)",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/YY",
      "source": "quantumai.google/reference/python/cirq/YY",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.YY, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/YYPowGate",
      "source": "quantumai.google/reference/python/cirq/YYPowGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.YYPowGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/Z",
      "source": "quantumai.google/reference/python/cirq/Z",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.Z; implemented here as Z",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/ZPowGate",
      "source": "quantumai.google/reference/python/cirq/ZPowGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.ZPowGate; implemented here as powerOf (Z**t)",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/ZZ",
      "source": "quantumai.google/reference/python/cirq/ZZ",
      "lastmod": "2025-07-24",
      "statement": "API reference of cirq.ZZ; implemented here as ZZ",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/ZZPowGate",
      "source": "quantumai.google/reference/python/cirq/ZZPowGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.ZZPowGate; implemented here as powerOf (ZZ**t)",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/ZerosSampler",
      "source": "quantumai.google/reference/python/cirq/ZerosSampler",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.ZerosSampler, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/Zip",
      "source": "quantumai.google/reference/python/cirq/Zip",
      "lastmod": "2026-07-05",
      "statement": "API reference of cirq.Zip, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-05); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ZipLongest",
      "source": "quantumai.google/reference/python/cirq/ZipLongest",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.ZipLongest, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/act_on",
      "source": "quantumai.google/reference/python/cirq/act_on",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.act_on, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/add_dynamical_decoupling",
      "source": "quantumai.google/reference/python/cirq/add_dynamical_decoupling",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.add_dynamical_decoupling, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/align_left",
      "source": "quantumai.google/reference/python/cirq/align_left",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.align_left, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/align_right",
      "source": "quantumai.google/reference/python/cirq/align_right",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.align_right, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/all_near_zero",
      "source": "quantumai.google/reference/python/cirq/all_near_zero",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.all_near_zero, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/all_near_zero_mod",
      "source": "quantumai.google/reference/python/cirq/all_near_zero_mod",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.all_near_zero_mod, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/all_symbols",
      "source": "quantumai.google/reference/python/cirq/all_symbols",
      "lastmod": "2026-10-20",
      "statement": "API reference of cirq.all_symbols, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-20); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/allclose_up_to_global_phase",
      "source": "quantumai.google/reference/python/cirq/allclose_up_to_global_phase",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.allclose_up_to_global_phase, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/alternative",
      "source": "quantumai.google/reference/python/cirq/alternative",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.alternative, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/amplitude_damp",
      "source": "quantumai.google/reference/python/cirq/amplitude_damp",
      "lastmod": "2026-07-13",
      "statement": "API reference of cirq.amplitude_damp; implemented here as noisy",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/apply_channel",
      "source": "quantumai.google/reference/python/cirq/apply_channel",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.apply_channel, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/apply_matrix_to_slices",
      "source": "quantumai.google/reference/python/cirq/apply_matrix_to_slices",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.apply_matrix_to_slices, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/apply_mixture",
      "source": "quantumai.google/reference/python/cirq/apply_mixture",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.apply_mixture, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/apply_unitaries",
      "source": "quantumai.google/reference/python/cirq/apply_unitaries",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.apply_unitaries, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/apply_unitary",
      "source": "quantumai.google/reference/python/cirq/apply_unitary",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.apply_unitary, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/approx_eq",
      "source": "quantumai.google/reference/python/cirq/approx_eq",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.approx_eq, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/asymmetric_depolarize",
      "source": "quantumai.google/reference/python/cirq/asymmetric_depolarize",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.asymmetric_depolarize; implemented here as noisy",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/axis_angle",
      "source": "quantumai.google/reference/python/cirq/axis_angle",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.axis_angle, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/bidiagonalize_real_matrix_pair_with_symmetric_products",
      "source": "quantumai.google/reference/python/cirq/bidiagonalize_real_matrix_pair_with_symmetric_products",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.bidiagonalize_real_matrix_pair_with_symmetric_products, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/bidiagonalize_unitary_with_special_orthogonals",
      "source": "quantumai.google/reference/python/cirq/bidiagonalize_unitary_with_special_orthogonals",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.bidiagonalize_unitary_with_special_orthogonals, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/big_endian_bits_to_int",
      "source": "quantumai.google/reference/python/cirq/big_endian_bits_to_int",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.big_endian_bits_to_int, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/big_endian_digits_to_int",
      "source": "quantumai.google/reference/python/cirq/big_endian_digits_to_int",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.big_endian_digits_to_int, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/big_endian_int_to_bits",
      "source": "quantumai.google/reference/python/cirq/big_endian_int_to_bits",
      "lastmod": "2026-10-05",
      "statement": "API reference of cirq.big_endian_int_to_bits, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-05); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/big_endian_int_to_digits",
      "source": "quantumai.google/reference/python/cirq/big_endian_int_to_digits",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.big_endian_int_to_digits, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/bit_flip",
      "source": "quantumai.google/reference/python/cirq/bit_flip",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.bit_flip; implemented here as noisy",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/bloch_vector_from_state_vector",
      "source": "quantumai.google/reference/python/cirq/bloch_vector_from_state_vector",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.bloch_vector_from_state_vector, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/block_diag",
      "source": "quantumai.google/reference/python/cirq/block_diag",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.block_diag, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/canonicalize_half_turns",
      "source": "quantumai.google/reference/python/cirq/canonicalize_half_turns",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.canonicalize_half_turns, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/choi_to_kraus",
      "source": "quantumai.google/reference/python/cirq/choi_to_kraus",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.choi_to_kraus, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/choi_to_superoperator",
      "source": "quantumai.google/reference/python/cirq/choi_to_superoperator",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.choi_to_superoperator, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/chosen_angle_to_canonical_half_turns",
      "source": "quantumai.google/reference/python/cirq/chosen_angle_to_canonical_half_turns",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.chosen_angle_to_canonical_half_turns, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/chosen_angle_to_half_turns",
      "source": "quantumai.google/reference/python/cirq/chosen_angle_to_half_turns",
      "lastmod": "2026-09-26",
      "statement": "API reference of cirq.chosen_angle_to_half_turns, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-09-26); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/circuit_diagram_info",
      "source": "quantumai.google/reference/python/cirq/circuit_diagram_info",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.circuit_diagram_info, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/cirq_type_from_json",
      "source": "quantumai.google/reference/python/cirq/cirq_type_from_json",
      "lastmod": "2026-08-23",
      "statement": "API reference of cirq.cirq_type_from_json, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-08-23); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/commutes",
      "source": "quantumai.google/reference/python/cirq/commutes",
      "lastmod": "2026-07-05",
      "statement": "API reference of cirq.commutes, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-05); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/compute_cphase_exponents_for_fsim_decomposition",
      "source": "quantumai.google/reference/python/cirq/compute_cphase_exponents_for_fsim_decomposition",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.compute_cphase_exponents_for_fsim_decomposition, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/contrib",
      "source": "quantumai.google/reference/python/cirq/contrib",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.contrib, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/contrib/CircuitDag",
      "source": "quantumai.google/reference/python/cirq/contrib/CircuitDag",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.contrib.CircuitDag, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/contrib/Unique",
      "source": "quantumai.google/reference/python/cirq/contrib/Unique",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.contrib.Unique, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/contrib/acquaintance",
      "source": "quantumai.google/reference/python/cirq/contrib/acquaintance",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.contrib.acquaintance, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/contrib/acquaintance/AcquaintanceOperation",
      "source": "quantumai.google/reference/python/cirq/contrib/acquaintance/AcquaintanceOperation",
      "lastmod": "2026-07-07",
      "statement": "API reference of cirq.contrib.acquaintance.AcquaintanceOperation, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-07); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/contrib/acquaintance/AcquaintanceOpportunityGate",
      "source": "quantumai.google/reference/python/cirq/contrib/acquaintance/AcquaintanceOpportunityGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.contrib.acquaintance.AcquaintanceOpportunityGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/contrib/acquaintance/BipartiteGraphType",
      "source": "quantumai.google/reference/python/cirq/contrib/acquaintance/BipartiteGraphType",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.contrib.acquaintance.BipartiteGraphType, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/contrib/acquaintance/BipartiteSwapNetworkGate",
      "source": "quantumai.google/reference/python/cirq/contrib/acquaintance/BipartiteSwapNetworkGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.contrib.acquaintance.BipartiteSwapNetworkGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/contrib/acquaintance/CircularShiftGate",
      "source": "quantumai.google/reference/python/cirq/contrib/acquaintance/CircularShiftGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.contrib.acquaintance.CircularShiftGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/contrib/acquaintance/DECOMPOSE_PERMUTATION_GATES",
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      "id": "page:reference/python/cirq/contrib/quirk/quirk_gate/cswap_to_quirk_op",
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    {
      "id": "page:reference/python/cirq/contrib/quirk/quirk_gate/cz_to_quirk_op",
      "source": "quantumai.google/reference/python/cirq/contrib/quirk/quirk_gate/cz_to_quirk_op",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.contrib.quirk.quirk_gate.cz_to_quirk_op, not implemented here",
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    {
      "id": "page:reference/python/cirq/contrib/quirk/quirk_gate/h_to_quirk_op",
      "source": "quantumai.google/reference/python/cirq/contrib/quirk/quirk_gate/h_to_quirk_op",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.contrib.quirk.quirk_gate.h_to_quirk_op, not implemented here",
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    {
      "id": "page:reference/python/cirq/contrib/quirk/quirk_gate/known_quirk_op_for_operation",
      "source": "quantumai.google/reference/python/cirq/contrib/quirk/quirk_gate/known_quirk_op_for_operation",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.contrib.quirk.quirk_gate.known_quirk_op_for_operation, not implemented here",
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    {
      "id": "page:reference/python/cirq/contrib/quirk/quirk_gate/same_half_turns",
      "source": "quantumai.google/reference/python/cirq/contrib/quirk/quirk_gate/same_half_turns",
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      "statement": "API reference of cirq.contrib.quirk.quirk_gate.same_half_turns, not implemented here",
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    {
      "id": "page:reference/python/cirq/contrib/quirk/quirk_gate/single_qubit_matrix_gate",
      "source": "quantumai.google/reference/python/cirq/contrib/quirk/quirk_gate/single_qubit_matrix_gate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.contrib.quirk.quirk_gate.single_qubit_matrix_gate, not implemented here",
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    {
      "id": "page:reference/python/cirq/contrib/quirk/quirk_gate/swap_to_quirk_op",
      "source": "quantumai.google/reference/python/cirq/contrib/quirk/quirk_gate/swap_to_quirk_op",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.contrib.quirk.quirk_gate.swap_to_quirk_op, not implemented here",
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    {
      "id": "page:reference/python/cirq/contrib/quirk/quirk_gate/x_to_quirk_op",
      "source": "quantumai.google/reference/python/cirq/contrib/quirk/quirk_gate/x_to_quirk_op",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.contrib.quirk.quirk_gate.x_to_quirk_op, not implemented here",
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    {
      "id": "page:reference/python/cirq/contrib/quirk/quirk_gate/xyz_to_quirk_op",
      "source": "quantumai.google/reference/python/cirq/contrib/quirk/quirk_gate/xyz_to_quirk_op",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.contrib.quirk.quirk_gate.xyz_to_quirk_op, not implemented here",
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    {
      "id": "page:reference/python/cirq/contrib/quirk/quirk_gate/y_to_quirk_op",
      "source": "quantumai.google/reference/python/cirq/contrib/quirk/quirk_gate/y_to_quirk_op",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.contrib.quirk.quirk_gate.y_to_quirk_op, not implemented here",
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    {
      "id": "page:reference/python/cirq/contrib/quirk/quirk_gate/z_to_quirk_op",
      "source": "quantumai.google/reference/python/cirq/contrib/quirk/quirk_gate/z_to_quirk_op",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.contrib.quirk.quirk_gate.z_to_quirk_op, not implemented here",
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    {
      "id": "page:reference/python/cirq/control_keys",
      "source": "quantumai.google/reference/python/cirq/control_keys",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.control_keys, not implemented here",
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    {
      "id": "page:reference/python/cirq/cphase",
      "source": "quantumai.google/reference/python/cirq/cphase",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.cphase, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/create_transformer_with_kwargs",
      "source": "quantumai.google/reference/python/cirq/create_transformer_with_kwargs",
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      "statement": "API reference of cirq.create_transformer_with_kwargs, not implemented here",
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      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/dataclass_json_dict",
      "source": "quantumai.google/reference/python/cirq/dataclass_json_dict",
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      "statement": "API reference of cirq.dataclass_json_dict, not implemented here",
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    {
      "id": "page:reference/python/cirq/decompose",
      "source": "quantumai.google/reference/python/cirq/decompose",
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      "statement": "API reference of cirq.decompose, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-05); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/decompose_clifford_tableau_to_operations",
      "source": "quantumai.google/reference/python/cirq/decompose_clifford_tableau_to_operations",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.decompose_clifford_tableau_to_operations, not implemented here",
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    {
      "id": "page:reference/python/cirq/decompose_cphase_into_two_fsim",
      "source": "quantumai.google/reference/python/cirq/decompose_cphase_into_two_fsim",
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      "statement": "API reference of cirq.decompose_cphase_into_two_fsim, not implemented here",
      "status": "open",
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    {
      "id": "page:reference/python/cirq/decompose_multi_controlled_rotation",
      "source": "quantumai.google/reference/python/cirq/decompose_multi_controlled_rotation",
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      "statement": "API reference of cirq.decompose_multi_controlled_rotation, not implemented here",
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    },
    {
      "id": "page:reference/python/cirq/decompose_multi_controlled_x",
      "source": "quantumai.google/reference/python/cirq/decompose_multi_controlled_x",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.decompose_multi_controlled_x, not implemented here",
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    {
      "id": "page:reference/python/cirq/decompose_once",
      "source": "quantumai.google/reference/python/cirq/decompose_once",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.decompose_once, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/decompose_once_with_qubits",
      "source": "quantumai.google/reference/python/cirq/decompose_once_with_qubits",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.decompose_once_with_qubits, not implemented here",
      "status": "open",
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    },
    {
      "id": "page:reference/python/cirq/decompose_two_qubit_interaction_into_four_fsim_gates",
      "source": "quantumai.google/reference/python/cirq/decompose_two_qubit_interaction_into_four_fsim_gates",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.decompose_two_qubit_interaction_into_four_fsim_gates, not implemented here",
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      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/deconstruct_single_qubit_matrix_into_angles",
      "source": "quantumai.google/reference/python/cirq/deconstruct_single_qubit_matrix_into_angles",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.deconstruct_single_qubit_matrix_into_angles, not implemented here",
      "status": "open",
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    },
    {
      "id": "page:reference/python/cirq/defer_measurements",
      "source": "quantumai.google/reference/python/cirq/defer_measurements",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.defer_measurements, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/definitely_commutes",
      "source": "quantumai.google/reference/python/cirq/definitely_commutes",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.definitely_commutes, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/density_matrix",
      "source": "quantumai.google/reference/python/cirq/density_matrix",
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      "statement": "API reference of cirq.density_matrix, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/density_matrix_from_state_vector",
      "source": "quantumai.google/reference/python/cirq/density_matrix_from_state_vector",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.density_matrix_from_state_vector, not implemented here",
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      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/density_matrix_kronecker_product",
      "source": "quantumai.google/reference/python/cirq/density_matrix_kronecker_product",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.density_matrix_kronecker_product, not implemented here",
      "status": "open",
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    },
    {
      "id": "page:reference/python/cirq/dephase_measurements",
      "source": "quantumai.google/reference/python/cirq/dephase_measurements",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.dephase_measurements, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/depolarize",
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      "statement": "API reference of cirq.depolarize; implemented here as noisy",
      "status": "served",
      "tool": "circuit"
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    {
      "id": "page:reference/python/cirq/diagonalize_real_symmetric_and_sorted_diagonal_matrices",
      "source": "quantumai.google/reference/python/cirq/diagonalize_real_symmetric_and_sorted_diagonal_matrices",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.diagonalize_real_symmetric_and_sorted_diagonal_matrices, not implemented here",
      "status": "open",
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    {
      "id": "page:reference/python/cirq/diagonalize_real_symmetric_matrix",
      "source": "quantumai.google/reference/python/cirq/diagonalize_real_symmetric_matrix",
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      "statement": "API reference of cirq.diagonalize_real_symmetric_matrix, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/dict_to_product_sweep",
      "source": "quantumai.google/reference/python/cirq/dict_to_product_sweep",
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      "statement": "API reference of cirq.dict_to_product_sweep, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/dict_to_zip_sweep",
      "source": "quantumai.google/reference/python/cirq/dict_to_zip_sweep",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.dict_to_zip_sweep, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/dirac_notation",
      "source": "quantumai.google/reference/python/cirq/dirac_notation",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.dirac_notation, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/dot",
      "source": "quantumai.google/reference/python/cirq/dot",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.dot, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/draw_gridlike",
      "source": "quantumai.google/reference/python/cirq/draw_gridlike",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.draw_gridlike, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/draw_placements",
      "source": "quantumai.google/reference/python/cirq/draw_placements",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.draw_placements, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/drop_diagonal_before_measurement",
      "source": "quantumai.google/reference/python/cirq/drop_diagonal_before_measurement",
      "lastmod": "2026-07-03",
      "statement": "API reference of cirq.drop_diagonal_before_measurement, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-03); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/drop_empty_moments",
      "source": "quantumai.google/reference/python/cirq/drop_empty_moments",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.drop_empty_moments, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/drop_negligible_operations",
      "source": "quantumai.google/reference/python/cirq/drop_negligible_operations",
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      "statement": "API reference of cirq.drop_negligible_operations, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/drop_terminal_measurements",
      "source": "quantumai.google/reference/python/cirq/drop_terminal_measurements",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.drop_terminal_measurements, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/eject_phased_paulis",
      "source": "quantumai.google/reference/python/cirq/eject_phased_paulis",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.eject_phased_paulis, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/eject_z",
      "source": "quantumai.google/reference/python/cirq/eject_z",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.eject_z, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/entanglement_fidelity",
      "source": "quantumai.google/reference/python/cirq/entanglement_fidelity",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.entanglement_fidelity, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/equal_up_to_global_phase",
      "source": "quantumai.google/reference/python/cirq/equal_up_to_global_phase",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.equal_up_to_global_phase, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/estimate_parallel_single_qubit_readout_errors",
      "source": "quantumai.google/reference/python/cirq/estimate_parallel_single_qubit_readout_errors",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.estimate_parallel_single_qubit_readout_errors, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/estimate_single_qubit_readout_errors",
      "source": "quantumai.google/reference/python/cirq/estimate_single_qubit_readout_errors",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.estimate_single_qubit_readout_errors, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/expand_composite",
      "source": "quantumai.google/reference/python/cirq/expand_composite",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.expand_composite, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/expand_matrix_in_orthogonal_basis",
      "source": "quantumai.google/reference/python/cirq/expand_matrix_in_orthogonal_basis",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.expand_matrix_in_orthogonal_basis, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/eye_tensor",
      "source": "quantumai.google/reference/python/cirq/eye_tensor",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.eye_tensor, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/fidelity",
      "source": "quantumai.google/reference/python/cirq/fidelity",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.fidelity, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/final_density_matrix",
      "source": "quantumai.google/reference/python/cirq/final_density_matrix",
      "lastmod": "2026-10-25",
      "statement": "API reference of cirq.final_density_matrix, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-25); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/final_state_vector",
      "source": "quantumai.google/reference/python/cirq/final_state_vector",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.final_state_vector, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/flatten",
      "source": "quantumai.google/reference/python/cirq/flatten",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.flatten, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/flatten_op_tree",
      "source": "quantumai.google/reference/python/cirq/flatten_op_tree",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.flatten_op_tree, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/flatten_to_ops",
      "source": "quantumai.google/reference/python/cirq/flatten_to_ops",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.flatten_to_ops, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/flatten_to_ops_or_moments",
      "source": "quantumai.google/reference/python/cirq/flatten_to_ops_or_moments",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.flatten_to_ops_or_moments, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/flatten_with_params",
      "source": "quantumai.google/reference/python/cirq/flatten_with_params",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.flatten_with_params, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/flatten_with_sweep",
      "source": "quantumai.google/reference/python/cirq/flatten_with_sweep",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.flatten_with_sweep, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/freeze_op_tree",
      "source": "quantumai.google/reference/python/cirq/freeze_op_tree",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.freeze_op_tree, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/generalized_amplitude_damp",
      "source": "quantumai.google/reference/python/cirq/generalized_amplitude_damp",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.generalized_amplitude_damp; implemented here as noisy",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/get_placements",
      "source": "quantumai.google/reference/python/cirq/get_placements",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.get_placements, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/get_state_histogram",
      "source": "quantumai.google/reference/python/cirq/get_state_histogram",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.get_state_histogram, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/givens",
      "source": "quantumai.google/reference/python/cirq/givens",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.givens, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/global_phase_operation",
      "source": "quantumai.google/reference/python/cirq/global_phase_operation",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.global_phase_operation, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/has_kraus",
      "source": "quantumai.google/reference/python/cirq/has_kraus",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.has_kraus, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/has_mixture",
      "source": "quantumai.google/reference/python/cirq/has_mixture",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.has_mixture, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/has_stabilizer_effect",
      "source": "quantumai.google/reference/python/cirq/has_stabilizer_effect",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.has_stabilizer_effect, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/has_unitary",
      "source": "quantumai.google/reference/python/cirq/has_unitary",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.has_unitary, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/hilbert_schmidt_inner_product",
      "source": "quantumai.google/reference/python/cirq/hilbert_schmidt_inner_product",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.hilbert_schmidt_inner_product, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/hog_score_xeb_fidelity_from_probabilities",
      "source": "quantumai.google/reference/python/cirq/hog_score_xeb_fidelity_from_probabilities",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.hog_score_xeb_fidelity_from_probabilities, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/identity_each",
      "source": "quantumai.google/reference/python/cirq/identity_each",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.identity_each, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/index_tags",
      "source": "quantumai.google/reference/python/cirq/index_tags",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.index_tags, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/integrated_histogram",
      "source": "quantumai.google/reference/python/cirq/integrated_histogram",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.integrated_histogram, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/inverse",
      "source": "quantumai.google/reference/python/cirq/inverse",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.inverse; implemented here as adjointOf (the adjoint of a gate)",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/is_cptp",
      "source": "quantumai.google/reference/python/cirq/is_cptp",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.is_cptp, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/is_diagonal",
      "source": "quantumai.google/reference/python/cirq/is_diagonal",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.is_diagonal, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/is_hermitian",
      "source": "quantumai.google/reference/python/cirq/is_hermitian",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.is_hermitian, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/is_measurement",
      "source": "quantumai.google/reference/python/cirq/is_measurement",
      "lastmod": "2026-07-13",
      "statement": "API reference of cirq.is_measurement, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-13); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/is_native_neutral_atom_gate",
      "source": "quantumai.google/reference/python/cirq/is_native_neutral_atom_gate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.is_native_neutral_atom_gate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/is_native_neutral_atom_op",
      "source": "quantumai.google/reference/python/cirq/is_native_neutral_atom_op",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.is_native_neutral_atom_op, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/is_negligible_turn",
      "source": "quantumai.google/reference/python/cirq/is_negligible_turn",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.is_negligible_turn, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/is_normal",
      "source": "quantumai.google/reference/python/cirq/is_normal",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.is_normal, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/is_orthogonal",
      "source": "quantumai.google/reference/python/cirq/is_orthogonal",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.is_orthogonal, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/is_parameterized",
      "source": "quantumai.google/reference/python/cirq/is_parameterized",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.is_parameterized, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/is_special_orthogonal",
      "source": "quantumai.google/reference/python/cirq/is_special_orthogonal",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.is_special_orthogonal, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/is_special_unitary",
      "source": "quantumai.google/reference/python/cirq/is_special_unitary",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.is_special_unitary, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/is_unitary",
      "source": "quantumai.google/reference/python/cirq/is_unitary",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.is_unitary, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/is_valid_placement",
      "source": "quantumai.google/reference/python/cirq/is_valid_placement",
      "lastmod": "2026-07-03",
      "statement": "API reference of cirq.is_valid_placement, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-03); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/json_cirq_type",
      "source": "quantumai.google/reference/python/cirq/json_cirq_type",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.json_cirq_type, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/json_namespace",
      "source": "quantumai.google/reference/python/cirq/json_namespace",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.json_namespace, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/kak_canonicalize_vector",
      "source": "quantumai.google/reference/python/cirq/kak_canonicalize_vector",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.kak_canonicalize_vector, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/kak_decomposition",
      "source": "quantumai.google/reference/python/cirq/kak_decomposition",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.kak_decomposition, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/kak_vector",
      "source": "quantumai.google/reference/python/cirq/kak_vector",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.kak_vector, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/kraus",
      "source": "quantumai.google/reference/python/cirq/kraus",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.kraus; implemented here as noisy (each channel is its Kraus operators)",
      "status": "served",
      "tool": "circuit"
    },
    {
      "id": "page:reference/python/cirq/kraus_to_choi",
      "source": "quantumai.google/reference/python/cirq/kraus_to_choi",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.kraus_to_choi, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/kraus_to_superoperator",
      "source": "quantumai.google/reference/python/cirq/kraus_to_superoperator",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.kraus_to_superoperator, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/kron",
      "source": "quantumai.google/reference/python/cirq/kron",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.kron, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/kron_bases",
      "source": "quantumai.google/reference/python/cirq/kron_bases",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.kron_bases, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/kron_factor_4x4_to_2x2s",
      "source": "quantumai.google/reference/python/cirq/kron_factor_4x4_to_2x2s",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.kron_factor_4x4_to_2x2s, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/kron_with_controls",
      "source": "quantumai.google/reference/python/cirq/kron_with_controls",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.kron_with_controls, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/linear_xeb_fidelity",
      "source": "quantumai.google/reference/python/cirq/linear_xeb_fidelity",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.linear_xeb_fidelity, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/linear_xeb_fidelity_from_probabilities",
      "source": "quantumai.google/reference/python/cirq/linear_xeb_fidelity_from_probabilities",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.linear_xeb_fidelity_from_probabilities, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/list_of_dicts_to_zip",
      "source": "quantumai.google/reference/python/cirq/list_of_dicts_to_zip",
      "lastmod": "2026-07-03",
      "statement": "API reference of cirq.list_of_dicts_to_zip, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-03); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/log_xeb_fidelity",
      "source": "quantumai.google/reference/python/cirq/log_xeb_fidelity",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.log_xeb_fidelity, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/log_xeb_fidelity_from_probabilities",
      "source": "quantumai.google/reference/python/cirq/log_xeb_fidelity_from_probabilities",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.log_xeb_fidelity_from_probabilities, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/map_clean_and_borrowable_qubits",
      "source": "quantumai.google/reference/python/cirq/map_clean_and_borrowable_qubits",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.map_clean_and_borrowable_qubits, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/map_eigenvalues",
      "source": "quantumai.google/reference/python/cirq/map_eigenvalues",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.map_eigenvalues, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/map_moments",
      "source": "quantumai.google/reference/python/cirq/map_moments",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.map_moments, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/map_operations",
      "source": "quantumai.google/reference/python/cirq/map_operations",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.map_operations, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/map_operations_and_unroll",
      "source": "quantumai.google/reference/python/cirq/map_operations_and_unroll",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.map_operations_and_unroll, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/match_global_phase",
      "source": "quantumai.google/reference/python/cirq/match_global_phase",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.match_global_phase, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/matrix_commutes",
      "source": "quantumai.google/reference/python/cirq/matrix_commutes",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.matrix_commutes, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/matrix_from_basis_coefficients",
      "source": "quantumai.google/reference/python/cirq/matrix_from_basis_coefficients",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.matrix_from_basis_coefficients, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/measure_confusion_matrix",
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      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.measure_confusion_matrix, not implemented here",
      "status": "open",
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    },
    {
      "id": "page:reference/python/cirq/measure_density_matrix",
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      "statement": "API reference of cirq.measure_density_matrix, not implemented here",
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      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/measure_each",
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      "statement": "API reference of cirq.measure_each, not implemented here",
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      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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      "id": "page:reference/python/cirq/measure_paulistring_terms",
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      "statement": "API reference of cirq.measure_paulistring_terms, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/measure_single_paulistring",
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      "statement": "API reference of cirq.measure_single_paulistring, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/measure_state_vector",
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      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.measure_state_vector, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/measurement_key_name",
      "source": "quantumai.google/reference/python/cirq/measurement_key_name",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.measurement_key_name, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/measurement_key_names",
      "source": "quantumai.google/reference/python/cirq/measurement_key_names",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.measurement_key_names, not implemented here",
      "status": "open",
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    },
    {
      "id": "page:reference/python/cirq/measurement_key_obj",
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      "statement": "API reference of cirq.measurement_key_obj, not implemented here",
      "status": "open",
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    },
    {
      "id": "page:reference/python/cirq/measurement_key_objs",
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      "statement": "API reference of cirq.measurement_key_objs, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/measurement_keys_touched",
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      "statement": "API reference of cirq.measurement_keys_touched, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/merge_k_qubit_unitaries",
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      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.merge_k_qubit_unitaries, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/merge_k_qubit_unitaries_to_circuit_op",
      "source": "quantumai.google/reference/python/cirq/merge_k_qubit_unitaries_to_circuit_op",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.merge_k_qubit_unitaries_to_circuit_op, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/merge_moments",
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      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.merge_moments, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/merge_moments_batch",
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      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.merge_moments_batch, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/merge_operations",
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      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.merge_operations, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/merge_operations_to_circuit_op",
      "source": "quantumai.google/reference/python/cirq/merge_operations_to_circuit_op",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.merge_operations_to_circuit_op, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/merge_single_qubit_gates_to_phased_x_and_z",
      "source": "quantumai.google/reference/python/cirq/merge_single_qubit_gates_to_phased_x_and_z",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.merge_single_qubit_gates_to_phased_x_and_z, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/merge_single_qubit_gates_to_phxz",
      "source": "quantumai.google/reference/python/cirq/merge_single_qubit_gates_to_phxz",
      "lastmod": "2026-07-05",
      "statement": "API reference of cirq.merge_single_qubit_gates_to_phxz, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-05); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/merge_single_qubit_gates_to_phxz_symbolized",
      "source": "quantumai.google/reference/python/cirq/merge_single_qubit_gates_to_phxz_symbolized",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.merge_single_qubit_gates_to_phxz_symbolized, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/merge_single_qubit_moments_to_phxz",
      "source": "quantumai.google/reference/python/cirq/merge_single_qubit_moments_to_phxz",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.merge_single_qubit_moments_to_phxz, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/mixture",
      "source": "quantumai.google/reference/python/cirq/mixture",
      "lastmod": "2026-10-20",
      "statement": "API reference of cirq.mixture, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-20); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ms",
      "source": "quantumai.google/reference/python/cirq/ms",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.ms, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/mul",
      "source": "quantumai.google/reference/python/cirq/mul",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.mul, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/num_cnots_required",
      "source": "quantumai.google/reference/python/cirq/num_cnots_required",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.num_cnots_required, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/num_qubits",
      "source": "quantumai.google/reference/python/cirq/num_qubits",
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      "statement": "API reference of cirq.num_qubits, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-05); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/obj_to_dict_helper",
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      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.obj_to_dict_helper, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/one_hot",
      "source": "quantumai.google/reference/python/cirq/one_hot",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.one_hot, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/operation_to_choi",
      "source": "quantumai.google/reference/python/cirq/operation_to_choi",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.operation_to_choi, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/operation_to_superoperator",
      "source": "quantumai.google/reference/python/cirq/operation_to_superoperator",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.operation_to_superoperator, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/optimize_for_target_gateset",
      "source": "quantumai.google/reference/python/cirq/optimize_for_target_gateset",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.optimize_for_target_gateset, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/parallel_gate_op",
      "source": "quantumai.google/reference/python/cirq/parallel_gate_op",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.parallel_gate_op, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/parameter_names",
      "source": "quantumai.google/reference/python/cirq/parameter_names",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.parameter_names, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/parameter_symbols",
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      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.parameter_symbols, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/parameterized_2q_op_to_sqrt_iswap_operations",
      "source": "quantumai.google/reference/python/cirq/parameterized_2q_op_to_sqrt_iswap_operations",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.parameterized_2q_op_to_sqrt_iswap_operations, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/partial_trace",
      "source": "quantumai.google/reference/python/cirq/partial_trace",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.partial_trace, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/partial_trace_of_state_vector_as_mixture",
      "source": "quantumai.google/reference/python/cirq/partial_trace_of_state_vector_as_mixture",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.partial_trace_of_state_vector_as_mixture, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/pauli_expansion",
      "source": "quantumai.google/reference/python/cirq/pauli_expansion",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.pauli_expansion, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/phase_by",
      "source": "quantumai.google/reference/python/cirq/phase_by",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.phase_by, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/phase_damp",
      "source": "quantumai.google/reference/python/cirq/phase_damp",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.phase_damp; implemented here as noisy",
      "status": "served",
      "tool": "circuit"
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    {
      "id": "page:reference/python/cirq/phase_flip",
      "source": "quantumai.google/reference/python/cirq/phase_flip",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.phase_flip; implemented here as noisy",
      "status": "served",
      "tool": "circuit"
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    {
      "id": "page:reference/python/cirq/plot_density_matrix",
      "source": "quantumai.google/reference/python/cirq/plot_density_matrix",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.plot_density_matrix, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/plot_state_histogram",
      "source": "quantumai.google/reference/python/cirq/plot_state_histogram",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.plot_state_histogram, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/pow",
      "source": "quantumai.google/reference/python/cirq/pow",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.pow, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/pow_pauli_combination",
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      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.pow_pauli_combination, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/prepare_two_qubit_state_using_cz",
      "source": "quantumai.google/reference/python/cirq/prepare_two_qubit_state_using_cz",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.prepare_two_qubit_state_using_cz, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/prepare_two_qubit_state_using_iswap",
      "source": "quantumai.google/reference/python/cirq/prepare_two_qubit_state_using_iswap",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.prepare_two_qubit_state_using_iswap, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/prepare_two_qubit_state_using_sqrt_iswap",
      "source": "quantumai.google/reference/python/cirq/prepare_two_qubit_state_using_sqrt_iswap",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.prepare_two_qubit_state_using_sqrt_iswap, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/q",
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      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.q, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/qasm",
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      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.qasm, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/qft",
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      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.qft; implemented here as Circuit (qftOperations in algorithms.ts)",
      "status": "served",
      "tool": "circuit"
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    {
      "id": "page:reference/python/cirq/qid_shape",
      "source": "quantumai.google/reference/python/cirq/qid_shape",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.qid_shape, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/quantum_shannon_decomposition",
      "source": "quantumai.google/reference/python/cirq/quantum_shannon_decomposition",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.quantum_shannon_decomposition, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/quantum_state",
      "source": "quantumai.google/reference/python/cirq/quantum_state",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.quantum_state, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/quirk_json_to_circuit",
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      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.quirk_json_to_circuit, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/quirk_url_to_circuit",
      "source": "quantumai.google/reference/python/cirq/quirk_url_to_circuit",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.quirk_url_to_circuit, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/read_json",
      "source": "quantumai.google/reference/python/cirq/read_json",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.read_json, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/read_json_gzip",
      "source": "quantumai.google/reference/python/cirq/read_json_gzip",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.read_json_gzip, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/reflection_matrix_pow",
      "source": "quantumai.google/reference/python/cirq/reflection_matrix_pow",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.reflection_matrix_pow, not implemented here",
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    },
    {
      "id": "page:reference/python/cirq/remove_tags",
      "source": "quantumai.google/reference/python/cirq/remove_tags",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.remove_tags, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/reset_each",
      "source": "quantumai.google/reference/python/cirq/reset_each",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.reset_each, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/resolve_parameters",
      "source": "quantumai.google/reference/python/cirq/resolve_parameters",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.resolve_parameters, not implemented here",
      "status": "open",
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    },
    {
      "id": "page:reference/python/cirq/resolve_parameters_once",
      "source": "quantumai.google/reference/python/cirq/resolve_parameters_once",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.resolve_parameters_once, not implemented here",
      "status": "open",
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    {
      "id": "page:reference/python/cirq/riswap",
      "source": "quantumai.google/reference/python/cirq/riswap",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.riswap, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/routed_circuit_with_mapping",
      "source": "quantumai.google/reference/python/cirq/routed_circuit_with_mapping",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.routed_circuit_with_mapping, not implemented here",
      "status": "open",
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    },
    {
      "id": "page:reference/python/cirq/rx",
      "source": "quantumai.google/reference/python/cirq/rx",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.rx, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq/ry",
      "source": "quantumai.google/reference/python/cirq/ry",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.ry, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/rz",
      "source": "quantumai.google/reference/python/cirq/rz",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.rz, not implemented here",
      "status": "open",
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    {
      "id": "page:reference/python/cirq/sample",
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      "statement": "API reference of cirq.sample, not implemented here",
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    {
      "id": "page:reference/python/cirq/sample_density_matrix",
      "source": "quantumai.google/reference/python/cirq/sample_density_matrix",
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      "statement": "API reference of cirq.sample_density_matrix, not implemented here",
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    {
      "id": "page:reference/python/cirq/sample_state_vector",
      "source": "quantumai.google/reference/python/cirq/sample_state_vector",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.sample_state_vector, not implemented here",
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    {
      "id": "page:reference/python/cirq/sample_sweep",
      "source": "quantumai.google/reference/python/cirq/sample_sweep",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.sample_sweep, not implemented here",
      "status": "open",
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    {
      "id": "page:reference/python/cirq/scatter_plot_normalized_kak_interaction_coefficients",
      "source": "quantumai.google/reference/python/cirq/scatter_plot_normalized_kak_interaction_coefficients",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.scatter_plot_normalized_kak_interaction_coefficients, not implemented here",
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    {
      "id": "page:reference/python/cirq/single_qubit_matrix_to_gates",
      "source": "quantumai.google/reference/python/cirq/single_qubit_matrix_to_gates",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.single_qubit_matrix_to_gates, not implemented here",
      "status": "open",
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    {
      "id": "page:reference/python/cirq/single_qubit_matrix_to_pauli_rotations",
      "source": "quantumai.google/reference/python/cirq/single_qubit_matrix_to_pauli_rotations",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.single_qubit_matrix_to_pauli_rotations, not implemented here",
      "status": "open",
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    {
      "id": "page:reference/python/cirq/single_qubit_matrix_to_phased_x_z",
      "source": "quantumai.google/reference/python/cirq/single_qubit_matrix_to_phased_x_z",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.single_qubit_matrix_to_phased_x_z, not implemented here",
      "status": "open",
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    {
      "id": "page:reference/python/cirq/single_qubit_matrix_to_phxz",
      "source": "quantumai.google/reference/python/cirq/single_qubit_matrix_to_phxz",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.single_qubit_matrix_to_phxz, not implemented here",
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    {
      "id": "page:reference/python/cirq/single_qubit_op_to_framed_phase_form",
      "source": "quantumai.google/reference/python/cirq/single_qubit_op_to_framed_phase_form",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.single_qubit_op_to_framed_phase_form, not implemented here",
      "status": "open",
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    {
      "id": "page:reference/python/cirq/slice_for_qubits_equal_to",
      "source": "quantumai.google/reference/python/cirq/slice_for_qubits_equal_to",
      "lastmod": "2026-08-15",
      "statement": "API reference of cirq.slice_for_qubits_equal_to, not implemented here",
      "status": "open",
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    {
      "id": "page:reference/python/cirq/so4_to_magic_su2s",
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      "statement": "API reference of cirq.so4_to_magic_su2s, not implemented here",
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    {
      "id": "page:reference/python/cirq/state_vector_kronecker_product",
      "source": "quantumai.google/reference/python/cirq/state_vector_kronecker_product",
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      "statement": "API reference of cirq.state_vector_kronecker_product, not implemented here",
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    {
      "id": "page:reference/python/cirq/state_vector_to_probabilities",
      "source": "quantumai.google/reference/python/cirq/state_vector_to_probabilities",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq.state_vector_to_probabilities, not implemented here",
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    {
      "id": "page:reference/python/cirq/stratified_circuit",
      "source": "quantumai.google/reference/python/cirq/stratified_circuit",
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      "statement": "API reference of cirq.stratified_circuit, not implemented here",
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    {
      "id": "page:reference/python/cirq/sub_state_vector",
      "source": "quantumai.google/reference/python/cirq/sub_state_vector",
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      "statement": "API reference of cirq.sub_state_vector, not implemented here",
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    {
      "id": "page:reference/python/cirq/superoperator_to_choi",
      "source": "quantumai.google/reference/python/cirq/superoperator_to_choi",
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      "statement": "API reference of cirq.superoperator_to_choi, not implemented here",
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    {
      "id": "page:reference/python/cirq/superoperator_to_kraus",
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      "statement": "API reference of cirq.superoperator_to_kraus, not implemented here",
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    {
      "id": "page:reference/python/cirq/symbol",
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      "statement": "API reference of cirq.symbol, not implemented here",
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      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/symbolize_single_qubit_gates_by_indexed_tags",
      "source": "quantumai.google/reference/python/cirq/symbolize_single_qubit_gates_by_indexed_tags",
      "lastmod": "2026-08-15",
      "statement": "API reference of cirq.symbolize_single_qubit_gates_by_indexed_tags, not implemented here",
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    {
      "id": "page:reference/python/cirq/synchronize_terminal_measurements",
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      "statement": "API reference of cirq.synchronize_terminal_measurements, not implemented here",
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    {
      "id": "page:reference/python/cirq/targeted_conjugate_about",
      "source": "quantumai.google/reference/python/cirq/targeted_conjugate_about",
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      "statement": "API reference of cirq.targeted_conjugate_about, not implemented here",
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    {
      "id": "page:reference/python/cirq/targeted_left_multiply",
      "source": "quantumai.google/reference/python/cirq/targeted_left_multiply",
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      "statement": "API reference of cirq.targeted_left_multiply, not implemented here",
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    {
      "id": "page:reference/python/cirq/testing",
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      "statement": "API reference of cirq.testing, not implemented here",
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      "id": "page:reference/python/cirq/testing/DoesNotSupportSerializationGate",
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      "statement": "API reference of cirq.testing.DoesNotSupportSerializationGate, not implemented here",
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    {
      "id": "page:reference/python/cirq/testing/EqualsTester",
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      "statement": "API reference of cirq.testing.EqualsTester, not implemented here",
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    {
      "id": "page:reference/python/cirq/testing/FakePrinter",
      "source": "quantumai.google/reference/python/cirq/testing/FakePrinter",
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      "id": "page:reference/python/cirq/testing/NoIdentifierQubit",
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      "statement": "API reference of cirq.testing.NoIdentifierQubit, not implemented here",
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    {
      "id": "page:reference/python/cirq/testing/OrderTester",
      "source": "quantumai.google/reference/python/cirq/testing/OrderTester",
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      "statement": "API reference of cirq.testing.OrderTester, not implemented here",
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      "id": "page:reference/python/cirq/testing/PhaseUsingCleanAncilla",
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      "statement": "API reference of cirq.testing.PhaseUsingCleanAncilla, not implemented here",
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      "id": "page:reference/python/cirq/testing/PhaseUsingDirtyAncilla",
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      "statement": "API reference of cirq.testing.PhaseUsingDirtyAncilla, not implemented here",
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      "id": "page:reference/python/cirq/testing/RoutingTestingDevice",
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      "statement": "API reference of cirq.testing.RoutingTestingDevice, not implemented here",
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      "id": "page:reference/python/cirq/testing/SingleQubitGate",
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      "id": "page:reference/python/cirq/testing/ThreeQubitGate",
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      "id": "page:reference/python/cirq/testing/TwoQubitGate",
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      "id": "page:reference/python/cirq/testing/ValidatingTestDevice",
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      "id": "page:reference/python/cirq/testing/assert_all_implemented_act_on_effects_match_unitary",
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      "id": "page:reference/python/cirq/testing/assert_allclose_up_to_global_phase",
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      "id": "page:reference/python/cirq/testing/assert_circuits_have_same_unitary_given_final_permutation",
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      "id": "page:reference/python/cirq/testing/assert_circuits_with_terminal_measurements_are_equivalent",
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    {
      "id": "page:reference/python/cirq/testing/assert_commutes_magic_method_consistent_with_unitaries",
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      "statement": "API reference of cirq.testing.assert_commutes_magic_method_consistent_with_unitaries, not implemented here",
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      "id": "page:reference/python/cirq/testing/assert_consistent_channel",
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      "id": "page:reference/python/cirq/testing/assert_consistent_mixture",
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      "id": "page:reference/python/cirq/testing/assert_consistent_resolve_parameters",
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      "id": "page:reference/python/cirq/testing/assert_controlled_and_controlled_by_identical",
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      "id": "page:reference/python/cirq/testing/assert_controlled_unitary_consistent",
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      "statement": "API reference of cirq.testing.assert_controlled_unitary_consistent, not implemented here",
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      "id": "page:reference/python/cirq/testing/assert_decompose_ends_at_default_gateset",
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    {
      "id": "page:reference/python/cirq/testing/pytest_utils",
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    {
      "id": "page:reference/python/cirq/testing/random_circuit",
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    {
      "id": "page:reference/python/cirq/testing/random_density_matrix",
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    {
      "id": "page:reference/python/cirq/testing/random_orthogonal",
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    {
      "id": "page:reference/python/cirq/testing/random_special_orthogonal",
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      "statement": "API reference of cirq.testing.random_special_orthogonal, not implemented here",
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    {
      "id": "page:reference/python/cirq/testing/random_special_unitary",
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      "statement": "API reference of cirq.testing.random_special_unitary, not implemented here",
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    {
      "id": "page:reference/python/cirq/testing/random_superposition",
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      "statement": "API reference of cirq.testing.random_superposition, not implemented here",
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    {
      "id": "page:reference/python/cirq/testing/random_two_qubit_circuit_with_czs",
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      "statement": "API reference of cirq.testing.random_two_qubit_circuit_with_czs, not implemented here",
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    {
      "id": "page:reference/python/cirq/testing/random_unitary",
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      "statement": "API reference of cirq.testing.random_unitary, not implemented here",
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    {
      "id": "page:reference/python/cirq/testing/repr_pretty_tester",
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      "statement": "API reference of cirq.testing.repr_pretty_tester, not implemented here",
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    {
      "id": "page:reference/python/cirq/testing/retry_once_after_timeout",
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      "statement": "API reference of cirq.testing.retry_once_after_timeout, not implemented here",
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    {
      "id": "page:reference/python/cirq/testing/retry_once_with_later_random_values",
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      "statement": "API reference of cirq.testing.retry_once_with_later_random_values, not implemented here",
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    {
      "id": "page:reference/python/cirq/testing/routing_devices",
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      "statement": "API reference of cirq.testing.routing_devices, not implemented here",
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    {
      "id": "page:reference/python/cirq/testing/sample_circuits",
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      "statement": "API reference of cirq.testing.sample_circuits, not implemented here",
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    {
      "id": "page:reference/python/cirq/testing/sample_gates",
      "source": "quantumai.google/reference/python/cirq/testing/sample_gates",
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      "statement": "API reference of cirq.testing.sample_gates, not implemented here",
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    {
      "id": "page:reference/python/cirq/three_qubit_matrix_to_operations",
      "source": "quantumai.google/reference/python/cirq/three_qubit_matrix_to_operations",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.three_qubit_matrix_to_operations, not implemented here",
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    {
      "id": "page:reference/python/cirq/to_json",
      "source": "quantumai.google/reference/python/cirq/to_json",
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      "statement": "API reference of cirq.to_json, not implemented here",
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    {
      "id": "page:reference/python/cirq/to_json_gzip",
      "source": "quantumai.google/reference/python/cirq/to_json_gzip",
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      "statement": "API reference of cirq.to_json_gzip, not implemented here",
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    {
      "id": "page:reference/python/cirq/to_resolvers",
      "source": "quantumai.google/reference/python/cirq/to_resolvers",
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      "statement": "API reference of cirq.to_resolvers, not implemented here",
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    {
      "id": "page:reference/python/cirq/to_special",
      "source": "quantumai.google/reference/python/cirq/to_special",
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      "statement": "API reference of cirq.to_special, not implemented here",
      "status": "open",
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    {
      "id": "page:reference/python/cirq/to_sweep",
      "source": "quantumai.google/reference/python/cirq/to_sweep",
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      "statement": "API reference of cirq.to_sweep, not implemented here",
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    {
      "id": "page:reference/python/cirq/to_sweeps",
      "source": "quantumai.google/reference/python/cirq/to_sweeps",
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      "statement": "API reference of cirq.to_sweeps, not implemented here",
      "status": "open",
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    {
      "id": "page:reference/python/cirq/to_valid_density_matrix",
      "source": "quantumai.google/reference/python/cirq/to_valid_density_matrix",
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      "statement": "API reference of cirq.to_valid_density_matrix, not implemented here",
      "status": "open",
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    {
      "id": "page:reference/python/cirq/to_valid_state_vector",
      "source": "quantumai.google/reference/python/cirq/to_valid_state_vector",
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      "statement": "API reference of cirq.to_valid_state_vector, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/toggle_tags",
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      "statement": "API reference of cirq.toggle_tags, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/trace_distance_bound",
      "source": "quantumai.google/reference/python/cirq/trace_distance_bound",
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      "statement": "API reference of cirq.trace_distance_bound, not implemented here",
      "status": "open",
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    {
      "id": "page:reference/python/cirq/trace_distance_from_angle_list",
      "source": "quantumai.google/reference/python/cirq/trace_distance_from_angle_list",
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      "statement": "API reference of cirq.trace_distance_from_angle_list, not implemented here",
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    {
      "id": "page:reference/python/cirq/transform_op_tree",
      "source": "quantumai.google/reference/python/cirq/transform_op_tree",
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      "statement": "API reference of cirq.transform_op_tree, not implemented here",
      "status": "open",
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    {
      "id": "page:reference/python/cirq/transformer",
      "source": "quantumai.google/reference/python/cirq/transformer",
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      "statement": "API reference of cirq.transformer, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/two_qubit_gate_numerical_compilation",
      "source": "quantumai.google/reference/python/cirq/two_qubit_gate_numerical_compilation",
      "lastmod": "2026-10-20",
      "statement": "API reference of cirq.two_qubit_gate_numerical_compilation, not implemented here",
      "status": "open",
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    {
      "id": "page:reference/python/cirq/two_qubit_gate_product_tabulation",
      "source": "quantumai.google/reference/python/cirq/two_qubit_gate_product_tabulation",
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      "statement": "API reference of cirq.two_qubit_gate_product_tabulation, not implemented here",
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    {
      "id": "page:reference/python/cirq/two_qubit_matrix_to_cz_isometry",
      "source": "quantumai.google/reference/python/cirq/two_qubit_matrix_to_cz_isometry",
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      "statement": "API reference of cirq.two_qubit_matrix_to_cz_isometry, not implemented here",
      "status": "open",
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    {
      "id": "page:reference/python/cirq/two_qubit_matrix_to_cz_operations",
      "source": "quantumai.google/reference/python/cirq/two_qubit_matrix_to_cz_operations",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.two_qubit_matrix_to_cz_operations, not implemented here",
      "status": "open",
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    {
      "id": "page:reference/python/cirq/two_qubit_matrix_to_diagonal_and_cz_operations",
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      "lastmod": "2026-07-05",
      "statement": "API reference of cirq.two_qubit_matrix_to_diagonal_and_cz_operations, not implemented here",
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    {
      "id": "page:reference/python/cirq/two_qubit_matrix_to_ion_operations",
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      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.two_qubit_matrix_to_ion_operations, not implemented here",
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    {
      "id": "page:reference/python/cirq/two_qubit_matrix_to_sqrt_iswap_operations",
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      "statement": "API reference of cirq.two_qubit_matrix_to_sqrt_iswap_operations, not implemented here",
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      "id": "page:reference/python/cirq/unitary",
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      "statement": "API reference of cirq.unitary; implemented here as applied (every gate carries its unitary)",
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      "id": "page:reference/python/cirq/unitary_eig",
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    {
      "id": "page:reference/python/cirq/unroll_circuit_op",
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      "statement": "API reference of cirq.unroll_circuit_op, not implemented here",
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    {
      "id": "page:reference/python/cirq/unroll_circuit_op_greedy_earliest",
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      "statement": "API reference of cirq.unroll_circuit_op_greedy_earliest, not implemented here",
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    {
      "id": "page:reference/python/cirq/unroll_circuit_op_greedy_frontier",
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      "statement": "API reference of cirq.unroll_circuit_op_greedy_frontier, not implemented here",
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    {
      "id": "page:reference/python/cirq/validate_density_matrix",
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      "statement": "API reference of cirq.validate_density_matrix, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-17); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/validate_indices",
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      "statement": "API reference of cirq.validate_indices, not implemented here",
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    {
      "id": "page:reference/python/cirq/validate_mixture",
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      "statement": "API reference of cirq.validate_mixture, not implemented here",
      "status": "open",
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    {
      "id": "page:reference/python/cirq/validate_normalized_state_vector",
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      "statement": "API reference of cirq.validate_normalized_state_vector, not implemented here",
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    {
      "id": "page:reference/python/cirq/validate_probability",
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      "statement": "API reference of cirq.validate_probability, not implemented here",
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    {
      "id": "page:reference/python/cirq/validate_qid_shape",
      "source": "quantumai.google/reference/python/cirq/validate_qid_shape",
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      "statement": "API reference of cirq.validate_qid_shape, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/value_equality",
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      "statement": "API reference of cirq.value_equality, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/von_neumann_entropy",
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      "statement": "API reference of cirq.von_neumann_entropy, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/wait",
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      "statement": "API reference of cirq.wait, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/with_debug",
      "source": "quantumai.google/reference/python/cirq/with_debug",
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      "statement": "API reference of cirq.with_debug, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq/with_key_path",
      "source": "quantumai.google/reference/python/cirq/with_key_path",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq.with_key_path, not implemented here",
      "status": "open",
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    {
      "id": "page:reference/python/cirq/with_key_path_prefix",
      "source": "quantumai.google/reference/python/cirq/with_key_path_prefix",
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      "statement": "API reference of cirq.with_key_path_prefix, not implemented here",
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    {
      "id": "page:reference/python/cirq/with_measurement_key_mapping",
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      "statement": "API reference of cirq.with_measurement_key_mapping, not implemented here",
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      "id": "page:reference/python/cirq/with_rescoped_keys",
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      "statement": "API reference of cirq.with_rescoped_keys, not implemented here",
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    {
      "id": "page:reference/python/cirq/xeb_fidelity",
      "source": "quantumai.google/reference/python/cirq/xeb_fidelity",
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      "statement": "API reference of cirq.xeb_fidelity, not implemented here",
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    {
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      "statement": "the page reference/python/cirq_aqt",
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      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
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      "id": "page:reference/python/cirq_aqt/all_symbols",
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      "id": "page:reference/python/cirq_google/api",
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      "id": "page:reference/python/cirq_google/api/v2/device_pb2/ArgumentRange",
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    {
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    {
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      "id": "page:reference/python/cirq_google/api/v2/device_pb2/GateSpecification/SqrtISwapInv",
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    {
      "id": "page:reference/python/cirq_google/api/v2/ndarrays_pb2/Int8Array",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/ndarrays_pb2/Int8Array",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.ndarrays_pb2.Int8Array, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/pack_bits",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/pack_bits",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq_google.api.v2.pack_bits, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/AnalogDetuneCouplerOnly",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/AnalogDetuneCouplerOnly",
      "lastmod": "2026-07-03",
      "statement": "API reference of cirq_google.api.v2.program_pb2.AnalogDetuneCouplerOnly, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-03); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/AnalogDetuneQubit",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/AnalogDetuneQubit",
      "lastmod": "2026-07-03",
      "statement": "API reference of cirq_google.api.v2.program_pb2.AnalogDetuneQubit, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-03); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/Arg",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/Arg",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.Arg, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/ArgFunction",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/ArgFunction",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.ArgFunction, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/ArgMapping",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/ArgMapping",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.ArgMapping, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/ArgMapping/ArgEntry",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/ArgMapping/ArgEntry",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.ArgMapping.ArgEntry, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/ArgValue",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/ArgValue",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.ArgValue, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/CZPowGate",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/CZPowGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.CZPowGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/CalibrationTag",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/CalibrationTag",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.CalibrationTag, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/Circuit",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/Circuit",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.Circuit, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/CircuitOperation",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/CircuitOperation",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.CircuitOperation, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/ClassicalStateTag",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/ClassicalStateTag",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.ClassicalStateTag, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/CliffordTableau",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/CliffordTableau",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.CliffordTableau, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/Complex",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/Complex",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.Complex, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/CompressDurationTag",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/CompressDurationTag",
      "lastmod": "2026-07-03",
      "statement": "API reference of cirq_google.api.v2.program_pb2.CompressDurationTag, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-03); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/Constant",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/Constant",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.Constant, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/CouplerPulseGate",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/CouplerPulseGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.CouplerPulseGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/CustomArg",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/CustomArg",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.CustomArg, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/DepolarizingChannel",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/DepolarizingChannel",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.DepolarizingChannel, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/DynamicalDecouplingTag",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/DynamicalDecouplingTag",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.DynamicalDecouplingTag, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/FSimGate",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/FSimGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.FSimGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/FSimViaModelTag",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/FSimViaModelTag",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.FSimViaModelTag, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/FloatArg",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/FloatArg",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.FloatArg, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/FunctionInterpolation",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/FunctionInterpolation",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.FunctionInterpolation, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/Gate",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/Gate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.Gate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/HPowGate",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/HPowGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.HPowGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/ISwapLikeGate",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/ISwapLikeGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.ISwapLikeGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/ISwapPowGate",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/ISwapPowGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.ISwapPowGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/IdentityGate",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/IdentityGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.IdentityGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/InternalGate",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/InternalGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.InternalGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/InternalGate/CustomArgsEntry",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/InternalGate/CustomArgsEntry",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.InternalGate.CustomArgsEntry, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/InternalGate/GateArgsEntry",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/InternalGate/GateArgsEntry",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.InternalGate.GateArgsEntry, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/InternalTag",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/InternalTag",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.InternalTag, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/InternalTag/CustomArgsEntry",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/InternalTag/CustomArgsEntry",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.InternalTag.CustomArgsEntry, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/InternalTag/TagArgsEntry",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/InternalTag/TagArgsEntry",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.InternalTag.TagArgsEntry, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/KeyedCircuit",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/KeyedCircuit",
      "lastmod": "2026-07-03",
      "statement": "API reference of cirq_google.api.v2.program_pb2.KeyedCircuit, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-03); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/KeyedCircuit/ArgsEntry",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/KeyedCircuit/ArgsEntry",
      "lastmod": "2026-07-03",
      "statement": "API reference of cirq_google.api.v2.program_pb2.KeyedCircuit.ArgsEntry, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-03); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/Language",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/Language",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.Language, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/MeasurementGate",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/MeasurementGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.MeasurementGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/MeasurementKey",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/MeasurementKey",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.MeasurementKey, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/MeasurementKeyMapping",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/MeasurementKeyMapping",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.MeasurementKeyMapping, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/MeasurementKeyMapping/MeasurementKeyEntry",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/MeasurementKeyMapping/MeasurementKeyEntry",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.MeasurementKeyMapping.MeasurementKeyEntry, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/Moment",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/Moment",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.Moment, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/NDArray",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/NDArray",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.NDArray, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/NoSyncTag",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/NoSyncTag",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.NoSyncTag, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/NoiseChannel",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/NoiseChannel",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.NoiseChannel, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/Operation",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/Operation",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.Operation, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/PhaseMatchTag",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/PhaseMatchTag",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.PhaseMatchTag, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/PhasedXPowGate",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/PhasedXPowGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.PhasedXPowGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/PhasedXZGate",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/PhasedXZGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.PhasedXZGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/PhysicalZTag",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/PhysicalZTag",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.PhysicalZTag, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/Program",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/Program",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.Program, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/Qubit",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/Qubit",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.Qubit, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/QubitMapping",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/QubitMapping",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.QubitMapping, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/QubitMapping/QubitEntry",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/QubitMapping/QubitEntry",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.QubitMapping.QubitEntry, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/RandomGateChannel",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/RandomGateChannel",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.RandomGateChannel, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/RepeatedBoolean",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/RepeatedBoolean",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.RepeatedBoolean, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/RepeatedDouble",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/RepeatedDouble",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.RepeatedDouble, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/RepeatedInt64",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/RepeatedInt64",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.RepeatedInt64, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/RepeatedString",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/RepeatedString",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.RepeatedString, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/RepetitionSpecification",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/RepetitionSpecification",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.RepetitionSpecification, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/RepetitionSpecification/RepetitionIds",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/RepetitionSpecification/RepetitionIds",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.RepetitionSpecification.RepetitionIds, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/ResetGate",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/ResetGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.ResetGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/ResetGate/ArgumentsEntry",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/ResetGate/ArgumentsEntry",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.ResetGate.ArgumentsEntry, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/SingleQubitCliffordGate",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/SingleQubitCliffordGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.SingleQubitCliffordGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/Tag",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/Tag",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.Tag, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/Tuple",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/Tuple",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.Tuple, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/TwoPulseFSimTag",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/TwoPulseFSimTag",
      "lastmod": "2026-07-03",
      "statement": "API reference of cirq_google.api.v2.program_pb2.TwoPulseFSimTag, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-03); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/WaitGate",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/WaitGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.WaitGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/WaitGateWithUnit",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/WaitGateWithUnit",
      "lastmod": "2026-07-03",
      "statement": "API reference of cirq_google.api.v2.program_pb2.WaitGateWithUnit, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-03); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/XPowGate",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/XPowGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.XPowGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/YPowGate",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/YPowGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.YPowGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/program_pb2/ZPowGate",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/program_pb2/ZPowGate",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.program_pb2.ZPowGate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/qubit_from_proto_id",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/qubit_from_proto_id",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.qubit_from_proto_id, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/qubit_to_proto_id",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/qubit_to_proto_id",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.qubit_to_proto_id, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/result_pb2",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/result_pb2",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.result_pb2, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/result_pb2/MeasurementResult",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/result_pb2/MeasurementResult",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.result_pb2.MeasurementResult, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/result_pb2/ParameterDict",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/result_pb2/ParameterDict",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.result_pb2.ParameterDict, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/result_pb2/ParameterDict/ArgsEntry",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/result_pb2/ParameterDict/ArgsEntry",
      "lastmod": "2026-07-03",
      "statement": "API reference of cirq_google.api.v2.result_pb2.ParameterDict.ArgsEntry, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-03); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/result_pb2/ParameterDict/AssignmentsEntry",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/result_pb2/ParameterDict/AssignmentsEntry",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.result_pb2.ParameterDict.AssignmentsEntry, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/result_pb2/ParameterizedResult",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/result_pb2/ParameterizedResult",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.result_pb2.ParameterizedResult, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/result_pb2/QuantumCircuitCalibration",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/result_pb2/QuantumCircuitCalibration",
      "lastmod": "2026-07-03",
      "statement": "API reference of cirq_google.api.v2.result_pb2.QuantumCircuitCalibration, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-03); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/result_pb2/QubitMeasurementResult",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/result_pb2/QubitMeasurementResult",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.result_pb2.QubitMeasurementResult, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/result_pb2/Result",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/result_pb2/Result",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.result_pb2.Result, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/result_pb2/SweepResult",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/result_pb2/SweepResult",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.result_pb2.SweepResult, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/results",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/results",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq_google.api.v2.results, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/results_from_proto",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/results_from_proto",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.results_from_proto, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/results_to_proto",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/results_to_proto",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq_google.api.v2.results_to_proto, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/run_context_pb2",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/run_context_pb2",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.run_context_pb2, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/run_context_pb2/ConstValue",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/run_context_pb2/ConstValue",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.run_context_pb2.ConstValue, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/run_context_pb2/DeviceParameter",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/run_context_pb2/DeviceParameter",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.run_context_pb2.DeviceParameter, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/run_context_pb2/DeviceParametersDiff",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/run_context_pb2/DeviceParametersDiff",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.run_context_pb2.DeviceParametersDiff, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/run_context_pb2/DeviceParametersDiff/GenericValue",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/run_context_pb2/DeviceParametersDiff/GenericValue",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.run_context_pb2.DeviceParametersDiff.GenericValue, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/cirq_google/api/v2/run_context_pb2/DeviceParametersDiff/Param",
      "source": "quantumai.google/reference/python/cirq_google/api/v2/run_context_pb2/DeviceParametersDiff/Param",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_google.api.v2.run_context_pb2.DeviceParametersDiff.Param, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
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    {
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    {
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    {
      "id": "page:reference/python/cirq_google/ops/dynamical_decoupling_tag",
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    {
      "id": "page:reference/python/cirq_google/ops/fsim_gate_family",
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    {
      "id": "page:reference/python/cirq_google/ops/fsim_via_model_tag",
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    {
      "id": "page:reference/python/cirq_google/ops/internal_gate",
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    {
      "id": "page:reference/python/cirq_google/ops/internal_gate/function_points_to_proto",
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    {
      "id": "page:reference/python/cirq_google/ops/internal_tag",
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    {
      "id": "page:reference/python/cirq_google/ops/leakage_iswap",
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      "id": "page:reference/python/cirq_google/ops/lzs_reset",
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    {
      "id": "page:reference/python/cirq_google/ops/msmlr_reset",
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    {
      "id": "page:reference/python/cirq_google/ops/multi_level_reset",
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    {
      "id": "page:reference/python/cirq_google/ops/no_sync_tag",
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    {
      "id": "page:reference/python/cirq_google/ops/physical_z_tag",
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    {
      "id": "page:reference/python/cirq_google/ops/sycamore_gate",
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      "statement": "API reference of cirq_google.ops.sycamore_gate, not implemented here",
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    {
      "id": "page:reference/python/cirq_google/ops/two_pulse_fsim_tag",
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      "statement": "API reference of cirq_google.ops.two_pulse_fsim_tag, not implemented here",
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    {
      "id": "page:reference/python/cirq_google/ops/wait_gate",
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    {
      "id": "page:reference/python/cirq_google/ops/willow_gate",
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      "statement": "API reference of cirq_google.ops.willow_gate, not implemented here",
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    {
      "id": "page:reference/python/cirq_google/serialization",
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    {
      "id": "page:reference/python/cirq_google/serialization/CircuitOpDeserializer",
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    {
      "id": "page:reference/python/cirq_google/serialization/CircuitOpSerializer",
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      "id": "page:reference/python/cirq_google/serialization/CircuitSerializer",
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      "id": "page:reference/python/cirq_google/serialization/Serializer",
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    {
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    {
      "id": "page:reference/python/cirq_google/serialization/arg_func_langs/arg_to_proto",
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    {
      "id": "page:reference/python/cirq_google/serialization/arg_func_langs/clifford_tableau_arg_to_proto",
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      "id": "page:reference/python/cirq_google/serialization/arg_func_langs/clifford_tableau_from_proto",
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      "id": "page:reference/python/cirq_google/serialization/arg_func_langs/condition_from_proto",
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      "id": "page:reference/python/cirq_google/serialization/arg_func_langs/condition_to_proto",
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      "id": "page:reference/python/cirq_pasqal/pasqal_gateset/PasqalGateset",
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      "statement": "API reference of cirq_pasqal.pasqal_gateset.PasqalGateset",
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      "reason": "Pasqal's neutral-atom hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "id": "page:reference/python/cirq_pasqal/pasqal_gateset/split_multi_op_moments",
      "source": "quantumai.google/reference/python/cirq_pasqal/pasqal_gateset/split_multi_op_moments",
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      "statement": "API reference of cirq_pasqal.pasqal_gateset.split_multi_op_moments",
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      "reason": "Pasqal's neutral-atom hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "id": "page:reference/python/cirq_pasqal/pasqal_noise_model",
      "source": "quantumai.google/reference/python/cirq_pasqal/pasqal_noise_model",
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      "statement": "API reference of cirq_pasqal.pasqal_noise_model",
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      "reason": "Pasqal's neutral-atom hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "id": "page:reference/python/cirq_pasqal/pasqal_noise_model/PasqalNoiseModel",
      "source": "quantumai.google/reference/python/cirq_pasqal/pasqal_noise_model/PasqalNoiseModel",
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      "statement": "API reference of cirq_pasqal.pasqal_noise_model.PasqalNoiseModel",
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      "reason": "Pasqal's neutral-atom hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "id": "page:reference/python/cirq_pasqal/pasqal_qubits",
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      "statement": "API reference of cirq_pasqal.pasqal_qubits",
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      "reason": "Pasqal's neutral-atom hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "id": "page:reference/python/cirq_pasqal/pasqal_qubits/ThreeDQubit",
      "source": "quantumai.google/reference/python/cirq_pasqal/pasqal_qubits/ThreeDQubit",
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      "statement": "API reference of cirq_pasqal.pasqal_qubits.ThreeDQubit",
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      "reason": "Pasqal's neutral-atom hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "id": "page:reference/python/cirq_pasqal/pasqal_qubits/TwoDQubit",
      "source": "quantumai.google/reference/python/cirq_pasqal/pasqal_qubits/TwoDQubit",
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      "statement": "API reference of cirq_pasqal.pasqal_qubits.TwoDQubit",
      "status": "out_of_scope",
      "reason": "Pasqal's neutral-atom hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "id": "page:reference/python/cirq_pasqal/pasqal_qubits/sqrt",
      "source": "quantumai.google/reference/python/cirq_pasqal/pasqal_qubits/sqrt",
      "lastmod": "2026-03-07",
      "statement": "API reference of cirq_pasqal.pasqal_qubits.sqrt",
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      "reason": "Pasqal's neutral-atom hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "id": "page:reference/python/cirq_pasqal/pasqal_sampler",
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      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_pasqal.pasqal_sampler",
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      "reason": "Pasqal's neutral-atom hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "id": "page:reference/python/cirq_pasqal/pasqal_sampler/PasqalSampler",
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      "statement": "API reference of cirq_pasqal.pasqal_sampler.PasqalSampler",
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      "reason": "Pasqal's neutral-atom hardware integration in Cirq, not Google Quantum AI's layer"
    },
    {
      "id": "page:reference/python/cirq_web",
      "source": "quantumai.google/reference/python/cirq_web",
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      "statement": "the page reference/python/cirq_web",
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      "reason": "in the sitemap (lastmod 2026-10-24); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/cirq_web/all_symbols",
      "source": "quantumai.google/reference/python/cirq_web/all_symbols",
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      "statement": "API reference of cirq_web.all_symbols",
      "status": "out_of_scope",
      "reason": "Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "id": "page:reference/python/cirq_web/bloch_sphere",
      "source": "quantumai.google/reference/python/cirq_web/bloch_sphere",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq_web.bloch_sphere",
      "status": "out_of_scope",
      "reason": "Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "id": "page:reference/python/cirq_web/bloch_sphere/BlochSphere",
      "source": "quantumai.google/reference/python/cirq_web/bloch_sphere/BlochSphere",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq_web.bloch_sphere.BlochSphere",
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      "reason": "Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "id": "page:reference/python/cirq_web/bloch_sphere/bloch_sphere",
      "source": "quantumai.google/reference/python/cirq_web/bloch_sphere/bloch_sphere",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq_web.bloch_sphere.bloch_sphere",
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      "reason": "Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "id": "page:reference/python/cirq_web/circuits",
      "source": "quantumai.google/reference/python/cirq_web/circuits",
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      "statement": "API reference of cirq_web.circuits",
      "status": "out_of_scope",
      "reason": "Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "id": "page:reference/python/cirq_web/circuits/Circuit3D",
      "source": "quantumai.google/reference/python/cirq_web/circuits/Circuit3D",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq_web.circuits.Circuit3D",
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      "reason": "Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "id": "page:reference/python/cirq_web/circuits/Operation3DSymbol",
      "source": "quantumai.google/reference/python/cirq_web/circuits/Operation3DSymbol",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq_web.circuits.Operation3DSymbol",
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      "reason": "Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "id": "page:reference/python/cirq_web/circuits/circuit",
      "source": "quantumai.google/reference/python/cirq_web/circuits/circuit",
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      "statement": "API reference of cirq_web.circuits.circuit",
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      "reason": "Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "id": "page:reference/python/cirq_web/circuits/symbols",
      "source": "quantumai.google/reference/python/cirq_web/circuits/symbols",
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      "statement": "API reference of cirq_web.circuits.symbols",
      "status": "out_of_scope",
      "reason": "Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "id": "page:reference/python/cirq_web/circuits/symbols/DefaultResolver",
      "source": "quantumai.google/reference/python/cirq_web/circuits/symbols/DefaultResolver",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq_web.circuits.symbols.DefaultResolver",
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      "reason": "Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "id": "page:reference/python/cirq_web/circuits/symbols/SymbolInfo",
      "source": "quantumai.google/reference/python/cirq_web/circuits/symbols/SymbolInfo",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq_web.circuits.symbols.SymbolInfo",
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      "reason": "Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "id": "page:reference/python/cirq_web/circuits/symbols/SymbolResolver",
      "source": "quantumai.google/reference/python/cirq_web/circuits/symbols/SymbolResolver",
      "lastmod": "2026-07-01",
      "statement": "API reference of cirq_web.circuits.symbols.SymbolResolver",
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      "reason": "Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "id": "page:reference/python/cirq_web/circuits/symbols/resolve_operation",
      "source": "quantumai.google/reference/python/cirq_web/circuits/symbols/resolve_operation",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq_web.circuits.symbols.resolve_operation",
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      "reason": "Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "id": "page:reference/python/cirq_web/deprecation",
      "source": "quantumai.google/reference/python/cirq_web/deprecation",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq_web.deprecation",
      "status": "out_of_scope",
      "reason": "Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "id": "page:reference/python/cirq_web/deprecation/assert_deprecated_cirq_web_warning",
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      "statement": "API reference of cirq_web.deprecation.assert_deprecated_cirq_web_warning",
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      "reason": "Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "id": "page:reference/python/cirq_web/deprecation/deprecated_cirq_web_class",
      "source": "quantumai.google/reference/python/cirq_web/deprecation/deprecated_cirq_web_class",
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      "statement": "API reference of cirq_web.deprecation.deprecated_cirq_web_class",
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      "reason": "Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "id": "page:reference/python/cirq_web/deprecation/deprecated_cirq_web_function",
      "source": "quantumai.google/reference/python/cirq_web/deprecation/deprecated_cirq_web_function",
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      "statement": "API reference of cirq_web.deprecation.deprecated_cirq_web_function",
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      "reason": "Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "id": "page:reference/python/cirq_web/widget",
      "source": "quantumai.google/reference/python/cirq_web/widget",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq_web.widget",
      "status": "out_of_scope",
      "reason": "Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "id": "page:reference/python/cirq_web/widget/Env",
      "source": "quantumai.google/reference/python/cirq_web/widget/Env",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq_web.widget.Env",
      "status": "out_of_scope",
      "reason": "Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "id": "page:reference/python/cirq_web/widget/Widget",
      "source": "quantumai.google/reference/python/cirq_web/widget/Widget",
      "lastmod": "2026-10-08",
      "statement": "API reference of cirq_web.widget.Widget",
      "status": "out_of_scope",
      "reason": "Cirq's web visualisation package, not Google Quantum AI's layer"
    },
    {
      "id": "page:reference/python/fqe",
      "source": "quantumai.google/reference/python/fqe",
      "lastmod": "2025-07-24",
      "statement": "the page reference/python/fqe",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/fqe/NumberOperator",
      "source": "quantumai.google/reference/python/fqe/NumberOperator",
      "lastmod": "2025-07-24",
      "statement": "API reference of fqe.NumberOperator, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/fqe/S2Operator",
      "source": "quantumai.google/reference/python/fqe/S2Operator",
      "lastmod": "2025-07-24",
      "statement": "API reference of fqe.S2Operator, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/fqe/SzOperator",
      "source": "quantumai.google/reference/python/fqe/SzOperator",
      "lastmod": "2025-07-24",
      "statement": "API reference of fqe.SzOperator, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/fqe/TimeReversalOp",
      "source": "quantumai.google/reference/python/fqe/TimeReversalOp",
      "lastmod": "2025-07-24",
      "statement": "API reference of fqe.TimeReversalOp, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/fqe/Wavefunction",
      "source": "quantumai.google/reference/python/fqe/Wavefunction",
      "lastmod": "2025-07-24",
      "statement": "API reference of fqe.Wavefunction, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/fqe/all_symbols",
      "source": "quantumai.google/reference/python/fqe/all_symbols",
      "lastmod": "2025-07-24",
      "statement": "API reference of fqe.all_symbols, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/fqe/apply",
      "source": "quantumai.google/reference/python/fqe/apply",
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      "statement": "API reference of fqe.apply, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/fqe/apply_generated_unitary",
      "source": "quantumai.google/reference/python/fqe/apply_generated_unitary",
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      "statement": "API reference of fqe.apply_generated_unitary, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/fqe/bitstring",
      "source": "quantumai.google/reference/python/fqe/bitstring",
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      "statement": "API reference of fqe.bitstring, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/fqe/bitstring/check_conserved_bits",
      "source": "quantumai.google/reference/python/fqe/bitstring/check_conserved_bits",
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      "statement": "API reference of fqe.bitstring.check_conserved_bits, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/fqe/bitstring/count_bits",
      "source": "quantumai.google/reference/python/fqe/bitstring/count_bits",
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      "statement": "API reference of fqe.bitstring.count_bits, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/fqe/bitstring/count_bits_above",
      "source": "quantumai.google/reference/python/fqe/bitstring/count_bits_above",
      "lastmod": "2025-07-24",
      "statement": "API reference of fqe.bitstring.count_bits_above, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/fqe/bitstring/count_bits_below",
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      "statement": "API reference of fqe.bitstring.count_bits_below, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/fqe/bitstring/count_bits_between",
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      "lastmod": "2025-07-24",
      "statement": "API reference of fqe.bitstring.count_bits_between, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/fqe/bitstring/gbit_index",
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      "statement": "API reference of fqe.bitstring.gbit_index, not implemented here",
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      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/fqe/bitstring/get_bit",
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      "lastmod": "2025-07-24",
      "statement": "API reference of fqe.bitstring.get_bit, not implemented here",
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      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/fqe/bitstring/integer_index",
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      "statement": "API reference of fqe.bitstring.integer_index, not implemented here",
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      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/fqe/bitstring/lexicographic_bitstring_generator",
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      "statement": "API reference of fqe.bitstring.lexicographic_bitstring_generator, not implemented here",
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    {
      "id": "page:reference/python/fqe/bitstring/reverse_integer_index",
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      "lastmod": "2026-06-23",
      "statement": "API reference of fqe.bitstring.reverse_integer_index, not implemented here",
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      "reason": "in the sitemap (lastmod 2026-06-23); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/fqe/bitstring/set_bit",
      "source": "quantumai.google/reference/python/fqe/bitstring/set_bit",
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      "statement": "API reference of fqe.bitstring.set_bit, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/fqe/bitstring/show_bits",
      "source": "quantumai.google/reference/python/fqe/bitstring/show_bits",
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      "statement": "API reference of fqe.bitstring.show_bits, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
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    {
      "id": "page:reference/python/fqe/bitstring/unset_bit",
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      "statement": "API reference of fqe.bitstring.unset_bit, not implemented here",
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    {
      "id": "page:reference/python/fqe/cirq_utils",
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      "statement": "API reference of fqe.cirq_utils, not implemented here",
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    {
      "id": "page:reference/python/fqe/cirq_utils/X",
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      "statement": "API reference of fqe.cirq_utils.X, not implemented here",
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    {
      "id": "page:reference/python/fqe/cirq_utils/Y",
      "source": "quantumai.google/reference/python/fqe/cirq_utils/Y",
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      "statement": "API reference of fqe.cirq_utils.Y, not implemented here",
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    {
      "id": "page:reference/python/fqe/cirq_utils/Z",
      "source": "quantumai.google/reference/python/fqe/cirq_utils/Z",
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      "statement": "API reference of fqe.cirq_utils.Z, not implemented here",
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    {
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      "id": "page:reference/python/openfermion/measurements/pair_within_simultaneously_symmetric",
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      "id": "page:reference/python/openfermion/measurements/rdm_equality_constraints",
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      "id": "page:reference/python/openfermion/measurements/two_body_fermion_constraints",
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      "id": "page:reference/python/openfermion/measurements/unlinearize_term",
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      "id": "page:reference/python/openfermion/measurements/vector_to_operator",
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      "statement": "API reference of openfermion.measurements.vector_to_operator, not implemented here",
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      "id": "page:reference/python/openfermion/measurements/vpe_estimators",
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      "statement": "API reference of openfermion.measurements.vpe_estimators, not implemented here",
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      "id": "page:reference/python/openfermion/ops",
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      "id": "page:reference/python/openfermion/ops/BinaryCode",
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      "id": "page:reference/python/openfermion/ops/BinaryCodeError",
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      "id": "page:reference/python/openfermion/ops/BinaryPolynomial",
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      "id": "page:reference/python/openfermion/ops/BinaryPolynomialError",
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      "id": "page:reference/python/openfermion/ops/BosonOperator",
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      "statement": "API reference of openfermion.ops.BosonOperator, not implemented here",
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      "id": "page:reference/python/openfermion/ops/DOCIHamiltonian",
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      "statement": "API reference of openfermion.ops.DOCIHamiltonian, not implemented here",
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    {
      "id": "page:reference/python/openfermion/ops/DiagonalCoulombHamiltonian",
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      "statement": "API reference of openfermion.ops.DiagonalCoulombHamiltonian, not implemented here",
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    {
      "id": "page:reference/python/openfermion/ops/FermionOperator",
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      "statement": "API reference of openfermion.ops.FermionOperator, not implemented here",
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      "id": "page:reference/python/openfermion/ops/InteractionOperator",
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      "statement": "API reference of openfermion.ops.InteractionOperator, not implemented here",
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      "id": "page:reference/python/openfermion/ops/InteractionOperatorError",
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      "statement": "API reference of openfermion.ops.InteractionOperatorError, not implemented here",
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      "id": "page:reference/python/openfermion/ops/InteractionRDM",
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      "statement": "API reference of openfermion.ops.InteractionRDM, not implemented here",
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    {
      "id": "page:reference/python/openfermion/ops/InteractionRDMError",
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      "statement": "API reference of openfermion.ops.InteractionRDMError, not implemented here",
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      "id": "page:reference/python/openfermion/ops/IsingOperator",
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      "statement": "API reference of openfermion.ops.IsingOperator, not implemented here",
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    {
      "id": "page:reference/python/openfermion/ops/MajoranaOperator",
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      "statement": "API reference of openfermion.ops.MajoranaOperator, not implemented here",
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      "id": "page:reference/python/openfermion/ops/PolynomialTensor",
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      "id": "page:reference/python/openfermion/ops/PolynomialTensorError",
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      "id": "page:reference/python/openfermion/ops/QuadOperator",
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      "statement": "API reference of openfermion.ops.QuadOperator, not implemented here",
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      "id": "page:reference/python/openfermion/ops/QuadraticHamiltonian",
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      "id": "page:reference/python/openfermion/ops/QuadraticHamiltonianError",
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      "id": "page:reference/python/openfermion/ops/QubitOperator",
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      "statement": "API reference of openfermion.ops.general_basis_change, not implemented here",
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      "id": "page:reference/python/openfermion/ops/operators/binary_code",
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      "statement": "API reference of openfermion.ops.operators.binary_code, not implemented here",
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      "statement": "API reference of openfermion.ops.operators.boson_operator, not implemented here",
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      "statement": "API reference of openfermion.ops.operators.majorana_operator, not implemented here",
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      "id": "page:reference/python/openfermion/ops/operators/quad_operator",
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      "statement": "API reference of openfermion.ops.operators.quad_operator, not implemented here",
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      "statement": "API reference of openfermion.ops.operators.qubit_operator, not implemented here",
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      "statement": "API reference of openfermion.ops.representations.doci_hamiltonian, not implemented here",
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      "source": "quantumai.google/reference/python/qsimcirq/qsim/qtrajectory_simulate_fullstate",
      "lastmod": "2025-07-24",
      "statement": "API reference of qsimcirq.qsim.qtrajectory_simulate_fullstate, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/qsimcirq/qsim/qtrajectory_simulate_moment_expectation_values",
      "source": "quantumai.google/reference/python/qsimcirq/qsim/qtrajectory_simulate_moment_expectation_values",
      "lastmod": "2025-07-24",
      "statement": "API reference of qsimcirq.qsim.qtrajectory_simulate_moment_expectation_values, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/qsimcirq/qsim_decide",
      "source": "quantumai.google/reference/python/qsimcirq/qsim_decide",
      "lastmod": "2025-07-24",
      "statement": "API reference of qsimcirq.qsim_decide, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/qsimcirq/qsim_decide/detect_custatevec",
      "source": "quantumai.google/reference/python/qsimcirq/qsim_decide/detect_custatevec",
      "lastmod": "2025-07-24",
      "statement": "API reference of qsimcirq.qsim_decide.detect_custatevec, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/qsimcirq/qsim_decide/detect_gpu",
      "source": "quantumai.google/reference/python/qsimcirq/qsim_decide/detect_gpu",
      "lastmod": "2025-07-24",
      "statement": "API reference of qsimcirq.qsim_decide.detect_gpu, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:reference/python/qsimcirq/qsim_decide/detect_instructions",
      "source": "quantumai.google/reference/python/qsimcirq/qsim_decide/detect_instructions",
      "lastmod": "2025-07-24",
      "statement": "API reference of qsimcirq.qsim_decide.detect_instructions, not implemented here",
      "status": "open",
      "reason": "in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "id": "page:robots.txt",
      "source": "quantumai.google/robots.txt",
      "lastmod": "2021-05-14",
      "statement": "the crawler rules file",
      "status": "out_of_scope",
      "reason": "site plumbing, not content"
    },
    {
      "id": "clay-relation_8",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_8",
      "statement": "relation_8: vertices = hybridSpeed ∧ vertices = mintOf n = 8 (4 bits, seed 8)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_15",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_15",
      "statement": "relation_15: magicBlock = glProd hexbit seed ∧ magicBlock = qftDepth vertices = 15 (4 bits, seed 6)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_16",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_16",
      "statement": "relation_16: mintOf hexbit = powMod coins rays plane ∧ mintOf hexbit = powMod coins hexbit bits = 16 (5 bits, seed 7)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_32",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_32",
      "statement": "relation_32: bits = chimera coins ∧ bits = qaoaZz vertices hexbit = 32 (6 bits, seed 5)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_128",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_128",
      "statement": "relation_128: mintOf rays = chimera hexbit ∧ mintOf rays = isingFusion vertices = 128 (8 bits, seed 2)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_28",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_28",
      "statement": "relation_28: plane = chooseOf vertices coins ∧ plane = choose vertices coins = 28 (5 bits, seed 1)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_256",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_256",
      "statement": "relation_256: mintOf vertices = groverSize hexbit ∧ mintOf vertices = qaoaZz vertices bits = 256 (9 bits, seed 4)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_10",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_10",
      "statement": "relation_10: triangular hexbit = qftGates hexbit = 10 (4 bits, seed 1)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_14",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_14",
      "statement": "relation_14: faces = coil ∧ faces = qaoaParams rays = 14 (4 bits, seed 5)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_21",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_21",
      "statement": "relation_21: chooseOf rays coins = fibFusion vertices ∧ chooseOf rays coins = powMod rays coins plane = 21 (5 bits, seed 3)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_25",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_25",
      "statement": "relation_25: powMod n hexbit plane = powMod n faces bits ∧ powMod n hexbit plane = powMod n plane plane = 25 (5 bits, seed 7)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_64",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_64",
      "statement": "relation_64: isingFusion rays = groverSize n ∧ isingFusion rays = qaoaParams bits = 64 (7 bits, seed 1)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_16384",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_16384",
      "statement": "relation_16384: mintOf faces = groverSize rays ∧ mintOf faces = qftStates faces = 16384 (15 bits, seed 4)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_13",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_13",
      "statement": "relation_13: fibFusion rays = powMod n n faces ∧ fibFusion rays = half n faces = 13 (4 bits, seed 4)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_24",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_24",
      "statement": "relation_24: powMod faces n bits = cliffordOrder seed ∧ powMod faces n bits = factorial hexbit = 24 (5 bits, seed 6)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_35",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_35",
      "statement": "relation_35: magicCubic = chooseOf rays n ∧ magicCubic = chooseOf rays hexbit = 35 (6 bits, seed 8)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_105",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_105",
      "statement": "relation_105: triangular faces = qftGates faces = 105 (7 bits, seed 6)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_268435456",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_268435456",
      "statement": "relation_268435456: mintOf plane = groverSize faces ∧ mintOf plane = qftStates plane = 268435456 (29 bits, seed 7)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_4294967296",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_4294967296",
      "statement": "relation_4294967296: amplitudes = mintOf bits ∧ amplitudes = qftStates bits = 4294967296 (33 bits, seed 4)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_9",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_9",
      "statement": "relation_9: powMod n coins bits = powMod n coins faces ∧ powMod n coins bits = powMod n coins plane = 9 (4 bits, seed 9)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_12",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_12",
      "statement": "relation_12: groverIters hexbit = qaoaZz n hexbit ∧ groverIters hexbit = qaoaZz hexbit n = 12 (4 bits, seed 3)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_17",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_17",
      "statement": "relation_17: powMod n hexbit bits = powMod n plane bits ∧ powMod n hexbit bits = powMod rays coins bits = 17 (5 bits, seed 8)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_56",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_56",
      "statement": "relation_56: chooseOf vertices n = choose vertices n ∧ chooseOf vertices n = qaoaParams plane = 56 (6 bits, seed 2)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_70",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_70",
      "statement": "relation_70: chooseOf vertices hexbit = choose vertices hexbit = 70 (7 bits, seed 7)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_1024",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_1024",
      "statement": "relation_1024: qaoaZz bits bits = qaoaX bits bits ∧ qaoaZz bits bits = paulis hexbit = 1024 (11 bits, seed 7)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_27",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_27",
      "statement": "relation_27: powMod n n bits = powMod n n plane ∧ powMod n n bits = half n plane = 27 (5 bits, seed 9)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_36",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_36",
      "statement": "relation_36: triangular vertices = qftGates vertices = 36 (6 bits, seed 9)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_42",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_42",
      "statement": "relation_42: glProd n coins = qaoaZz n faces ∧ glProd n coins = qaoaZz faces n = 42 (6 bits, seed 6)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_49",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_49",
      "statement": "relation_49: qaoaZz rays rays = qaoaX rays rays = 49 (6 bits, seed 4)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_91",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_91",
      "statement": "relation_91: chooseOf faces coins = choose faces coins = 91 (7 bits, seed 1)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_96",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_96",
      "statement": "relation_96: qaoaZz n bits = qaoaZz bits n ∧ qaoaZz n bits = qaoaX n bits = 96 (7 bits, seed 6)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_196",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_196",
      "statement": "relation_196: qaoaZz rays plane = qaoaZz faces faces ∧ qaoaZz rays plane = qaoaZz plane rays = 196 (8 bits, seed 7)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_224",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_224",
      "statement": "relation_224: qaoaZz rays bits = qaoaZz vertices plane ∧ qaoaZz rays bits = qaoaZz bits rays = 224 (8 bits, seed 8)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_364",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_364",
      "statement": "relation_364: chooseOf faces n = choose faces n = 364 (9 bits, seed 4)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_378",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_378",
      "statement": "relation_378: chooseOf plane coins = choose plane coins = 378 (9 bits, seed 9)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_392",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_392",
      "statement": "relation_392: chimera rays = qaoaZz faces plane ∧ chimera rays = qaoaZz plane faces = 392 (9 bits, seed 5)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_406",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_406",
      "statement": "relation_406: triangular plane = qftGates plane = 406 (9 bits, seed 1)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_496",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_496",
      "statement": "relation_496: chooseOf bits coins = choose bits coins = 496 (9 bits, seed 1)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_528",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_528",
      "statement": "relation_528: triangular bits = qftGates bits = 528 (10 bits, seed 6)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_1001",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_1001",
      "statement": "relation_1001: chooseOf faces hexbit = choose faces hexbit = 1001 (10 bits, seed 2)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_3003",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_3003",
      "statement": "relation_3003: chooseOf faces vertices = choose faces vertices = 3003 (12 bits, seed 6)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_3276",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_3276",
      "statement": "relation_3276: chooseOf plane n = choose plane n = 3276 (12 bits, seed 9)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_3432",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_3432",
      "statement": "relation_3432: chooseOf faces rays = choose faces rays = 3432 (12 bits, seed 3)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_4960",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_4960",
      "statement": "relation_4960: chooseOf bits n = choose bits n = 4960 (13 bits, seed 1)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_8192",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_8192",
      "statement": "relation_8192: chimera bits = isingFusion faces = 8192 (14 bits, seed 2)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_20475",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_20475",
      "statement": "relation_20475: chooseOf plane hexbit = choose plane hexbit = 20475 (15 bits, seed 9)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_35960",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_35960",
      "statement": "relation_35960: chooseOf bits hexbit = chooseOf bits plane ∧ chooseOf bits hexbit = choose bits hexbit = 35960 (16 bits, seed 5)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_65536",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_65536",
      "statement": "relation_65536: groverSize vertices = paulis rays = 65536 (17 bits, seed 7)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_1184040",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_1184040",
      "statement": "relation_1184040: chooseOf plane rays = choose plane rays = 1184040 (21 bits, seed 9)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_3108105",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_3108105",
      "statement": "relation_3108105: chooseOf plane vertices = choose plane vertices = 3108105 (22 bits, seed 9)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_3365856",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_3365856",
      "statement": "relation_3365856: chooseOf bits rays = choose bits rays = 3365856 (22 bits, seed 9)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_10518300",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_10518300",
      "statement": "relation_10518300: chooseOf bits vertices = choose bits vertices = 10518300 (24 bits, seed 9)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_40116600",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_40116600",
      "statement": "relation_40116600: chooseOf plane faces = choose plane faces = 40116600 (26 bits, seed 9)",
      "status": "served",
      "tool": "clay"
    },
    {
      "id": "clay-relation_471435600",
      "source": "src/quantum/processing/unit/lean/Qpu/Clay.lean relation_471435600",
      "statement": "relation_471435600: chooseOf bits faces = choose bits faces = 471435600 (29 bits, seed 3)",
      "status": "served",
      "tool": "clay"
    }
  ],
  "counts": {
    "served": 256,
    "partial": 30,
    "blocked": 8,
    "out_of_scope": 112,
    "open": 2294
  },
  "total": 2700
}

quantum-error-correction · qec-bit-flip-0.1

The three-qubit repetition code on the density matrix at p = 0.1: logical error 3p² − 2p³ = 0.028, below the raw 0.1.

{"name":"quantum-error-correction","arguments":{"p":0.1}}

✓ as expected

quantum-error-correction · The three-qubit repetition code, simulated on the density matrix: a logical qubit encoded, a channel (bit_flip, phase_flip or depolarize) of probability p acting once on each data qubit, syndromes extracted and corrected by majority, and the logical error read from the simulated state against the raw error of an unencoded qubit, at the p given and over a sweep. The break-even p is bisected from the simulation; the textbook 3p² − 2p³ is reported beside it where it applies. The encoding, syndrome and correction gates are noiseless (the code-capacity model). The quantumlib QEC packages are listed as cited data.

Code

bit_flip

Channel

bit_flip

Logical state

|0⟩

Physical error at p

0.100000

Logical error at p

0.028000

Break-even p (bisected)

0.500000

p	Physical error	Logical error	Code helps
0.0100	0.010000	0.000298	yes
0.0200	0.020000	0.001184	yes
0.0500	0.050000	0.007250	yes
0.1000	0.100000	0.028000	yes
0.2000	0.200000	0.104000	yes
0.3000	0.300000	0.216000	yes
0.4000	0.400000	0.352000	yes
0.5000	0.500000	0.500000	no
0.6000	0.600000	0.648000	no

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "code": "bit_flip",
  "channel": "bit_flip",
  "logical": "0",
  "at": {
    "p": 0.1,
    "physicalError": 0.1,
    "logicalError": 0.028000000000000004,
    "textbook": 0.028000000000000004
  },
  "sweep": [
    {
      "p": 0.01,
      "physicalError": 0.010000000000000002,
      "logicalError": 0.0002980000000000001,
      "textbook": 0.000298
    },
    {
      "p": 0.02,
      "physicalError": 0.02,
      "logicalError": 0.0011840000000000002,
      "textbook": 0.001184
    },
    {
      "p": 0.05,
      "physicalError": 0.049999999999999996,
      "logicalError": 0.007249999999999999,
      "textbook": 0.007250000000000001
    },
    {
      "p": 0.1,
      "physicalError": 0.1,
      "logicalError": 0.028000000000000004,
      "textbook": 0.028000000000000004
    },
    {
      "p": 0.2,
      "physicalError": 0.19999999999999998,
      "logicalError": 0.10399999999999998,
      "textbook": 0.10400000000000002
    },
    {
      "p": 0.3,
      "physicalError": 0.29999999999999993,
      "logicalError": 0.21599999999999991,
      "textbook": 0.21599999999999997
    },
    {
      "p": 0.4,
      "physicalError": 0.4,
      "logicalError": 0.3520000000000001,
      "textbook": 0.3520000000000001
    },
    {
      "p": 0.5,
      "physicalError": 0.5000000000000001,
      "logicalError": 0.5000000000000001,
      "textbook": 0.5
    },
    {
      "p": 0.6,
      "physicalError": 0.6000000000000001,
      "logicalError": 0.6480000000000001,
      "textbook": 0.6479999999999999
    }
  ],
  "breakEven": 0.4999999999999998,
  "helpsAtP": true,
  "observed": "the code lowers the error below the unencoded qubit's for p below 0.500000, and raises it above; the crossing is bisected from simulated points",
  "textbook": {
    "formula": "3p² − 2p³ for a matched code and channel on a logical |0⟩ or |1⟩",
    "source": "Nielsen & Chuang, Quantum Computation and Quantum Information, §10.1.1",
    "maxDeviationOverSweep": 2.220446049250313e-16
  },
  "model": "code-capacity: the channel acts once on each data qubit; encoding, syndrome extraction, Toffoli correction and decoding are noiseless; every error is Tr of the simulated density matrix on the decoded qubit",
  "circuit": {
    "qubits": 5,
    "moments": 15,
    "operations": 18
  },
  "packages": [
    {
      "name": "Stim",
      "description": "A fast stabilizer circuit library.",
      "language": "C++",
      "url": "https://github.com/quantumlib/Stim",
      "source": "the quantumlib repository list, as it states them"
    },
    {
      "name": "chromobius",
      "description": "Open-source implementation of a Möbius decoder for color codes used in quantum error correction (QEC)",
      "language": "Python",
      "url": "https://github.com/quantumlib/chromobius",
      "source": "the quantumlib repository list, as it states them"
    },
    {
      "name": "tesseract-decoder",
      "description": "Search-based decoder for quantum error correction (QEC) written in C++ and Python.",
      "language": "C++",
      "url": "https://github.com/quantumlib/tesseract-decoder",
      "source": "the quantumlib repository list, as it states them"
    }
  ]
}

chemistry-simulation · chemistry-h2

H₂ in STO-3G at 0.7414 Å: the Hartree–Fock energy from the simulator is −1.1167 Ha and the variational minimum lies below it near −1.137 Ha.

{"name":"chemistry-simulation","arguments":{}}

✓ as expected

chemistry-simulation · Molecular hydrogen in STO-3G as a variational energy evaluation on the simulator: the integrals are computed here from the published basis constants and checked against the energies the OpenFermion tutorial prints at 0.7 and 0.8 Å; the two-electron Hamiltonian is a two-qubit Pauli-term operator; the ansatz exp(−iθ Y⊗X) on the Hartree-Fock state is swept over θ, every energy an expectation value of the simulated state, and the minimum found is returned with the full-CI energy the same integrals give. A bond length in ångström, or one θ to evaluate.

Bond length (Å)

0.7414

Hartree-Fock (Ha)

-1.116684

Full CI (Ha)

-1.137270

VQE minimum (Ha)

-1.137270

θ at the minimum

-0.113068

Term	Coefficient (Ha)
I	-0.33995362
Z1	-0.39398368
X0X1	0.18128881
Z0	-0.39398368
Z0Z1	0.01123659

θ	Energy (Ha)
-1.5708	0.459250
-1.5533	0.452443
-1.5359	0.444685
-1.5184	0.435984
-1.5010	0.426351
-1.4835	0.415799
-1.4661	0.404339
-1.4486	0.391987
-1.4312	0.378756
-1.4137	0.364663
-1.3963	0.349726
-1.3788	0.333962
-1.3614	0.317390
-1.3439	0.300032
-1.3265	0.281907
-1.3090	0.263038
-1.2915	0.243449
-1.2741	0.223162
-1.2566	0.202203
-1.2392	0.180597
-1.2217	0.158371
-1.2043	0.135551
-1.1868	0.112165
-1.1694	0.088243
-1.1519	0.063812
-1.1345	0.038903
-1.1170	0.013547
-1.0996	-0.012227
-1.0821	-0.038387
-1.0647	-0.064900
-1.0472	-0.091734
-1.0297	-0.118857
-1.0123	-0.146236
-0.9948	-0.173837
-0.9774	-0.201627
-0.9599	-0.229572
-0.9425	-0.257638
-0.9250	-0.285790
-0.9076	-0.313994
-0.8901	-0.342217
-0.8727	-0.370423
-0.8552	-0.398578
-0.8378	-0.426648
-0.8203	-0.454598
-0.8029	-0.482396
-0.7854	-0.510006
-0.7679	-0.537395
-0.7505	-0.564530
-0.7330	-0.591378
-0.7156	-0.617905
-0.6981	-0.644081
-0.6807	-0.669872
-0.6632	-0.695247
-0.6458	-0.720176
-0.6283	-0.744628
-0.6109	-0.768573
-0.5934	-0.791983
-0.5760	-0.814828
-0.5585	-0.837080
-0.5411	-0.858714
-0.5236	-0.879701
-0.5061	-0.900018
-0.4887	-0.919638
-0.4712	-0.938538
-0.4538	-0.956696
-0.4363	-0.974088
-0.4189	-0.990694
-0.4014	-1.006493
-0.3840	-1.021467
-0.3665	-1.035597
-0.3491	-1.048865
-0.3316	-1.061256
-0.3142	-1.072755
-0.2967	-1.083347
-0.2793	-1.093020
-0.2618	-1.101761
-0.2443	-1.109561
-0.2269	-1.116409
-0.2094	-1.122298
-0.1920	-1.127220
-0.1745	-1.131169
-0.1571	-1.134140
-0.1396	-1.136130
-0.1222	-1.137136
-0.1047	-1.137157
-0.0873	-1.136194
-0.0698	-1.134246
-0.0524	-1.131318
-0.0349	-1.127411
-0.0175	-1.122531
0.0000	-1.116684
0.0175	-1.109877
0.0349	-1.102119
0.0524	-1.093418
0.0698	-1.083785
0.0873	-1.073233
0.1047	-1.061773
0.1222	-1.049421
0.1396	-1.036190
0.1571	-1.022097
0.1745	-1.007160
0.1920	-0.991396
0.2094	-0.974824
0.2269	-0.957466
0.2443	-0.939341
0.2618	-0.920472
0.2793	-0.900883
0.2967	-0.880596
0.3142	-0.859637
0.3316	-0.838031
0.3491	-0.815805
0.3665	-0.792985
0.3840	-0.769600
0.4014	-0.745677
0.4189	-0.721246
0.4363	-0.696337
0.4538	-0.670981
0.4712	-0.645207
0.4887	-0.619048
0.5061	-0.592534
0.5236	-0.565700
0.5411	-0.538577
0.5585	-0.511198
0.5760	-0.483597
0.5934	-0.455807
0.6109	-0.427862
0.6283	-0.399796
0.6458	-0.371644
0.6632	-0.343440
0.6807	-0.315217
0.6981	-0.287012
0.7156	-0.258856
0.7330	-0.230786
0.7505	-0.202836
0.7679	-0.175038
0.7854	-0.147428
0.8029	-0.120039
0.8203	-0.092904
0.8378	-0.066056
0.8552	-0.039529
0.8727	-0.013353
0.8901	0.012438
0.9076	0.037813
0.9250	0.062742
0.9425	0.087194
0.9599	0.111139
0.9774	0.134549
0.9948	0.157394
1.0123	0.179646
1.0297	0.201280
1.0472	0.222267
1.0647	0.242584
1.0821	0.262204
1.0996	0.281104
1.1170	0.299262
1.1345	0.316654
1.1519	0.333260
1.1694	0.349059
1.1868	0.364033
1.2043	0.378163
1.2217	0.391431
1.2392	0.403822
1.2566	0.415321
1.2741	0.425913
1.2915	0.435586
1.3090	0.444327
1.3265	0.452127
1.3439	0.458975
1.3614	0.464864
1.3788	0.469786
1.3963	0.473735
1.4137	0.476706
1.4312	0.478696
1.4486	0.479702
1.4661	0.479723
1.4835	0.478760
1.5010	0.476812
1.5184	0.473884
1.5359	0.469977
1.5533	0.465097

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "molecule": {
    "bondLength": 0.7414,
    "nuclearRepulsion": 0.713753990544915,
    "overlapAB": 0.6589571181384022,
    "h": {
      "gg": -1.2524635715927763,
      "uu": -0.47594871726830945
    },
    "eri": {
      "gggg": 0.6744887657339033,
      "uuuu": 0.6973937668222836,
      "gguu": 0.6634680958564393,
      "gugu": 0.18128880839426134
    },
    "orbitalEnergies": [
      -0.5779748058588731,
      0.6696986660503078
    ],
    "hartreeFock": -1.1166843869067344,
    "mp2": -1.129855153453017,
    "fci": -1.1372701746253284
  },
  "basis": {
    "name": "STO-3G",
    "hydrogen": {
      "exponents": [
        3.42525091,
        0.62391373,
        0.1688554
      ],
      "coefficients": [
        0.15432897,
        0.53532814,
        0.44463454
      ],
      "source": "Hehre, Stewart, Pople, J. Chem. Phys. 51, 2657 (1969); STO-3G hydrogen as distributed"
    },
    "bohrAngstrom": 0.52917720859
  },
  "mapping": "two qubits: line:0 is the orbital of the spin-up electron (|0⟩ = g, |1⟩ = u), line:1 the spin-down electron's; the Hartree-Fock state is |00⟩; the nuclear repulsion is in the identity term",
  "terms": [
    {
      "coefficient": -0.3399536172489045,
      "paulis": {},
      "label": "I"
    },
    {
      "coefficient": -0.3939836774343285,
      "paulis": {
        "line:1": "Z"
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    },
    {
      "coefficient": 0.18128880839426134,
      "paulis": {
        "line:0": "X",
        "line:1": "X"
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      "label": "X0X1"
    },
    {
      "coefficient": -0.3939836774343285,
      "paulis": {
        "line:0": "Z"
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      "label": "Z0"
    },
    {
      "coefficient": 0.011236585210827127,
      "paulis": {
        "line:0": "Z",
        "line:1": "Z"
      },
      "label": "Z0Z1"
    }
  ],
  "ansatz": {
    "gate": "exp(−i·-0.11306813099032646·Y⊗X)",
    "state": "cos θ |00⟩ + sin θ |11⟩"
  },
  "hartreeFockFromSimulator": -1.1166843869067344,
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    "source": "quantumai.google/openfermion/tutorials/intro_to_openfermion, the printed energies of molecular hydrogen",
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  },
  "units": "hartree; bond length in ångström"
}

fault-tolerant-design · ftqc-all

Resource counts read from six circuits this tree builds; one Toffoli costs 7 T gates by the cited decomposition.

{"name":"fault-tolerant-design","arguments":{}}

✓ as expected

fault-tolerant-design · Resource counts read from the circuits this repository builds: the QFT on n qubits, Grover, teleportation, Shor for N up to 21, the QAOA instance and the repetition-code cycle. For each: gates by name, two-qubit gates, depth in moments, and the T-count of the gates whose Clifford+T cost is stated (Toffoli 7, T 1, controlled-S 3; Cliffordness computed from each unitary). Rotations and undecomposed gates are listed and left uncounted, and the count says whether it is complete. Qualtran is the cited library for the general case.

Circuit	Qubits	Depth	Operations	Two-qubit gates	T-count	Complete
qft on 3 qubits	3	6	7	4	6	no: rotations or undecomposed gates uncounted
grover	3	10	19	1	7	yes
teleportation	3	5	7	4	1	yes
shor N=15 a=7	12	26	58	32	21	no: rotations or undecomposed gates uncounted
qaoa on 12 nodes (alpha = 0.5, beta = 0.25)	12	12	40	15	12	no: rotations or undecomposed gates uncounted
repetition code cycle (bit flip, p = 0.1)	5	15	18	8	21	yes

qft on 3 qubits: gate	Count	Class
H	3	clifford
CZ**0.5	2	controlled_s
CZ**0.25	1	rotation
SWAP	1	clifford

grover: gate	Count	Class
H	7	clifford
X	9	clifford
TOFFOLI	1	toffoli
CZ	1	clifford

teleportation: gate	Count	Class
X**0.25	1	t
H	2	clifford
CNOT	3	clifford
CZ	1	clifford

shor N=15 a=7: gate	Count	Class
X	1	clifford
H	8	clifford
U7	1	undecomposed
U4	1	undecomposed
U1	6	undecomposed
SWAP†	4	clifford
H†	8	clifford
CZ**0.5†	7	controlled_s
CZ**0.25†	6	rotation
CZ**0.125†	5	rotation
CZ**0.0625†	4	rotation
CZ**0.03125†	3	rotation
CZ**0.015625†	2	rotation
CZ**0.0078125†	1	rotation

qaoa on 12 nodes (alpha = 0.5, beta = 0.25): gate	Count	Class
H	12	clifford
ZZ**2.045	1	rotation
ZZ**0.955	1	rotation
ZZ**0.4	1	rotation
ZZ**0.455	1	rotation
X**0.25	12	t
ZZ**1.685	1	rotation
ZZ**2.195	1	rotation
ZZ**1.345	1	rotation
ZZ**1.66	1	rotation
ZZ**1.69	1	rotation
ZZ**0.805	1	rotation
ZZ**0.355	1	rotation
ZZ**1.4	1	rotation
ZZ**0.545	1	rotation
ZZ**0.46	1	rotation
ZZ**0.88	1	rotation

repetition code cycle (bit flip, p = 0.1): gate	Count	Class
CNOT	8	clifford
X	4	clifford
TOFFOLI	3	toffoli

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "circuits": [
    {
      "name": "qft on 3 qubits",
      "count": {
        "qubits": 3,
        "depth": 6,
        "operations": 7,
        "measurements": 0,
        "channels": 0,
        "gates": [
          {
            "name": "H",
            "arity": 1,
            "count": 3,
            "class": "clifford"
          },
          {
            "name": "CZ**0.5",
            "arity": 2,
            "count": 2,
            "class": "controlled_s"
          },
          {
            "name": "CZ**0.25",
            "arity": 2,
            "count": 1,
            "class": "rotation"
          },
          {
            "name": "SWAP",
            "arity": 2,
            "count": 1,
            "class": "clifford"
          }
        ],
        "twoQubitGates": 4,
        "threeOrMoreQubitGates": 0,
        "clifford": 4,
        "tCount": 6,
        "tCountBy": {
          "t": 0,
          "controlled_s": 6,
          "toffoli": 0
        },
        "rotations": [
          {
            "name": "CZ**0.25",
            "angle": 0.7853981633974483,
            "count": 1
          }
        ],
        "undecomposed": [],
        "complete": false
      }
    },
    {
      "name": "grover",
      "count": {
        "qubits": 3,
        "depth": 10,
        "operations": 19,
        "measurements": 1,
        "channels": 0,
        "gates": [
          {
            "name": "H",
            "arity": 1,
            "count": 7,
            "class": "clifford"
          },
          {
            "name": "X",
            "arity": 1,
            "count": 9,
            "class": "clifford"
          },
          {
            "name": "TOFFOLI",
            "arity": 3,
            "count": 1,
            "class": "toffoli"
          },
          {
            "name": "CZ",
            "arity": 2,
            "count": 1,
            "class": "clifford"
          }
        ],
        "twoQubitGates": 1,
        "threeOrMoreQubitGates": 1,
        "clifford": 17,
        "tCount": 7,
        "tCountBy": {
          "t": 0,
          "controlled_s": 0,
          "toffoli": 7
        },
        "rotations": [],
        "undecomposed": [],
        "complete": true
      }
    },
    {
      "name": "teleportation",
      "count": {
        "qubits": 3,
        "depth": 5,
        "operations": 7,
        "measurements": 0,
        "channels": 0,
        "gates": [
          {
            "name": "X**0.25",
            "arity": 1,
            "count": 1,
            "class": "t"
          },
          {
            "name": "H",
            "arity": 1,
            "count": 2,
            "class": "clifford"
          },
          {
            "name": "CNOT",
            "arity": 2,
            "count": 3,
            "class": "clifford"
          },
          {
            "name": "CZ",
            "arity": 2,
            "count": 1,
            "class": "clifford"
          }
        ],
        "twoQubitGates": 4,
        "threeOrMoreQubitGates": 0,
        "clifford": 6,
        "tCount": 1,
        "tCountBy": {
          "t": 1,
          "controlled_s": 0,
          "toffoli": 0
        },
        "rotations": [],
        "undecomposed": [],
        "complete": true
      }
    },
    {
      "name": "shor N=15 a=7",
      "count": {
        "qubits": 12,
        "depth": 26,
        "operations": 58,
        "measurements": 1,
        "channels": 0,
        "gates": [
          {
            "name": "X",
            "arity": 1,
            "count": 1,
            "class": "clifford"
          },
          {
            "name": "H",
            "arity": 1,
            "count": 8,
            "class": "clifford"
          },
          {
            "name": "U7",
            "arity": 5,
            "count": 1,
            "class": "undecomposed"
          },
          {
            "name": "U4",
            "arity": 5,
            "count": 1,
            "class": "undecomposed"
          },
          {
            "name": "U1",
            "arity": 5,
            "count": 6,
            "class": "undecomposed"
          },
          {
            "name": "SWAP†",
            "arity": 2,
            "count": 4,
            "class": "clifford"
          },
          {
            "name": "H†",
            "arity": 1,
            "count": 8,
            "class": "clifford"
          },
          {
            "name": "CZ**0.5†",
            "arity": 2,
            "count": 7,
            "class": "controlled_s"
          },
          {
            "name": "CZ**0.25†",
            "arity": 2,
            "count": 6,
            "class": "rotation"
          },
          {
            "name": "CZ**0.125†",
            "arity": 2,
            "count": 5,
            "class": "rotation"
          },
          {
            "name": "CZ**0.0625†",
            "arity": 2,
            "count": 4,
            "class": "rotation"
          },
          {
            "name": "CZ**0.03125†",
            "arity": 2,
            "count": 3,
            "class": "rotation"
          },
          {
            "name": "CZ**0.015625†",
            "arity": 2,
            "count": 2,
            "class": "rotation"
          },
          {
            "name": "CZ**0.0078125†",
            "arity": 2,
            "count": 1,
            "class": "rotation"
          }
        ],
        "twoQubitGates": 32,
        "threeOrMoreQubitGates": 8,
        "clifford": 21,
        "tCount": 21,
        "tCountBy": {
          "t": 0,
          "controlled_s": 21,
          "toffoli": 0
        },
        "rotations": [
          {
            "name": "CZ**0.25†",
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            "count": 6
          },
          {
            "name": "CZ**0.125†",
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            "count": 5
          },
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            "name": "CZ**0.0625†",
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          },
          {
            "name": "CZ**0.03125†",
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            "count": 3
          },
          {
            "name": "CZ**0.015625†",
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          },
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        ],
        "undecomposed": [
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            "count": 1
          },
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            "count": 1
          },
          {
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            "count": 6
          }
        ],
        "complete": false
      }
    },
    {
      "name": "qaoa on 12 nodes (alpha = 0.5, beta = 0.25)",
      "count": {
        "qubits": 12,
        "depth": 12,
        "operations": 40,
        "measurements": 1,
        "channels": 0,
        "gates": [
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            "arity": 1,
            "count": 12,
            "class": "clifford"
          },
          {
            "name": "ZZ**2.045",
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          },
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          },
          {
            "name": "ZZ**0.455",
            "arity": 2,
            "count": 1,
            "class": "rotation"
          },
          {
            "name": "X**0.25",
            "arity": 1,
            "count": 12,
            "class": "t"
          },
          {
            "name": "ZZ**1.685",
            "arity": 2,
            "count": 1,
            "class": "rotation"
          },
          {
            "name": "ZZ**2.195",
            "arity": 2,
            "count": 1,
            "class": "rotation"
          },
          {
            "name": "ZZ**1.345",
            "arity": 2,
            "count": 1,
            "class": "rotation"
          },
          {
            "name": "ZZ**1.66",
            "arity": 2,
            "count": 1,
            "class": "rotation"
          },
          {
            "name": "ZZ**1.69",
            "arity": 2,
            "count": 1,
            "class": "rotation"
          },
          {
            "name": "ZZ**0.805",
            "arity": 2,
            "count": 1,
            "class": "rotation"
          },
          {
            "name": "ZZ**0.355",
            "arity": 2,
            "count": 1,
            "class": "rotation"
          },
          {
            "name": "ZZ**1.4",
            "arity": 2,
            "count": 1,
            "class": "rotation"
          },
          {
            "name": "ZZ**0.545",
            "arity": 2,
            "count": 1,
            "class": "rotation"
          },
          {
            "name": "ZZ**0.46",
            "arity": 2,
            "count": 1,
            "class": "rotation"
          },
          {
            "name": "ZZ**0.88",
            "arity": 2,
            "count": 1,
            "class": "rotation"
          }
        ],
        "twoQubitGates": 15,
        "threeOrMoreQubitGates": 0,
        "clifford": 12,
        "tCount": 12,
        "tCountBy": {
          "t": 12,
          "controlled_s": 0,
          "toffoli": 0
        },
        "rotations": [
          {
            "name": "ZZ**2.045",
            "angle": 6.424556976591127,
            "count": 1
          },
          {
            "name": "ZZ**0.955",
            "angle": 3.0002209841782523,
            "count": 1
          },
          {
            "name": "ZZ**0.4",
            "angle": 1.2566370614359172,
            "count": 1
          },
          {
            "name": "ZZ**0.455",
            "angle": 1.429424657383356,
            "count": 1
          },
          {
            "name": "ZZ**1.685",
            "angle": 5.293583621298802,
            "count": 1
          },
          {
            "name": "ZZ**2.195",
            "angle": 6.895795874629595,
            "count": 1
          },
          {
            "name": "ZZ**1.345",
            "angle": 4.225442119078272,
            "count": 1
          },
          {
            "name": "ZZ**1.66",
            "angle": 5.215043804959056,
            "count": 1
          },
          {
            "name": "ZZ**1.69",
            "angle": 5.3092915845667505,
            "count": 1
          },
          {
            "name": "ZZ**0.805",
            "angle": 2.528982086139784,
            "count": 1
          },
          {
            "name": "ZZ**0.355",
            "angle": 1.1152653920243765,
            "count": 1
          },
          {
            "name": "ZZ**1.4",
            "angle": 4.39822971502571,
            "count": 1
          },
          {
            "name": "ZZ**0.545",
            "angle": 1.7121679962064373,
            "count": 1
          },
          {
            "name": "ZZ**0.46",
            "angle": 1.4451326206513049,
            "count": 1
          },
          {
            "name": "ZZ**0.88",
            "angle": 2.764601535159018,
            "count": 1
          }
        ],
        "undecomposed": [],
        "complete": false
      }
    },
    {
      "name": "repetition code cycle (bit flip, p = 0.1)",
      "count": {
        "qubits": 5,
        "depth": 15,
        "operations": 18,
        "measurements": 0,
        "channels": 3,
        "gates": [
          {
            "name": "CNOT",
            "arity": 2,
            "count": 8,
            "class": "clifford"
          },
          {
            "name": "X",
            "arity": 1,
            "count": 4,
            "class": "clifford"
          },
          {
            "name": "TOFFOLI",
            "arity": 3,
            "count": 3,
            "class": "toffoli"
          }
        ],
        "twoQubitGates": 8,
        "threeOrMoreQubitGates": 3,
        "clifford": 12,
        "tCount": 21,
        "tCountBy": {
          "t": 0,
          "controlled_s": 0,
          "toffoli": 21
        },
        "rotations": [],
        "undecomposed": [],
        "complete": true
      }
    }
  ],
  "costs": {
    "toffoli": {
      "tCount": 7,
      "source": "Nielsen & Chuang, Quantum Computation and Quantum Information, figure 4.9; Amy, Maslov, Mosca, Roetteler, IEEE TCAD 32, 818 (2013)"
    },
    "t": {
      "tCount": 1,
      "source": "T = Z**0.25; X**0.25 = H·T·H"
    },
    "controlled_s": {
      "tCount": 3,
      "source": "CS = (T⊗T)·CNOT·(I⊗T†)·CNOT, verified as a matrix product in counting.test.ts"
    },
    "clifford": "computed from each unitary: it conjugates every Pauli string to a Pauli string, checked up to 3 qubits",
    "uncounted": "arbitrary-angle rotations (CZ**t at other t, ZZ**t, exp(−iθP)) and gates not decomposed here (Shor's modular multiplications) are listed, not costed; no synthesis figure is invented"
  },
  "library": {
    "name": "Qualtran",
    "description": "Qᴜᴀʟᴛʀᴀɴ is a Python library for expressing and analyzing Fault Tolerant Quantum algorithms.",
    "url": "https://github.com/quantumlib/Qualtran",
    "note": "the quantumlib library for resource estimation of fault-tolerant algorithms; not implemented here"
  }
}

quantumlib · quantumlib-cirq

What this tree implements of Cirq, as a cross-reference of its exports.

{"name":"quantumlib","arguments":{"repository":"Cirq"}}

✓ as expected

quantumlib · The fifteen repositories of the quantumlib GitHub organization, each with what this repository implements of it: the exports of cirq.ts that stand for Cirq's classes, and the parts of qsim, OpenFermion, Qualtran, Stim and ReCirq the other tools emulate, named from the code that runs here. A cross-reference computed at call time, not a catalogue.

Repositories

15

With an emulation here

6

Repository	Language	Implemented here	Tools	Note
Cirq	Python	Circuit, DensityMatrixSimulator, Device, Moment, QuantumVirtualMachine, Result, Simulator, GridQubit, LineQubit, NamedQubit, CNOT, CZ, H, SWAP, TOFFOLI, X, Y, Z, ZZ, adjointOf, applied, expectationOf, exponentialOf, keyOf, measure, noisy, pauliProduct, powerOf, randomOf	circuit, algorithm, echo	the exports of cirq.ts: 7 classes, 3 qubit constructors, 9 gates and 10 functions, each named after the Cirq class or function it stands for

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "organization": "quantumlib",
  "url": "https://github.com/quantumlib",
  "repositories": [
    {
      "name": "Cirq",
      "description": "Python framework for creating, editing, and running Noisy Intermediate-Scale Quantum (NISQ) circuits.",
      "language": "Python",
      "url": "https://github.com/quantumlib/Cirq",
      "implementedHere": [
        "Circuit",
        "DensityMatrixSimulator",
        "Device",
        "Moment",
        "QuantumVirtualMachine",
        "Result",
        "Simulator",
        "GridQubit",
        "LineQubit",
        "NamedQubit",
        "CNOT",
        "CZ",
        "H",
        "SWAP",
        "TOFFOLI",
        "X",
        "Y",
        "Z",
        "ZZ",
        "adjointOf",
        "applied",
        "expectationOf",
        "exponentialOf",
        "keyOf",
        "measure",
        "noisy",
        "pauliProduct",
        "powerOf",
        "randomOf"
      ],
      "tools": [
        "circuit",
        "algorithm",
        "echo"
      ],
      "note": "the exports of cirq.ts: 7 classes, 3 qubit constructors, 9 gates and 10 functions, each named after the Cirq class or function it stands for"
    }
  ],
  "total": 15,
  "emulated": 6
}

clay · clay-register

The 54 Clay relations recomputed in exact integer arithmetic: all hold, the widest value needs 33 bits (amplitudes = 2^32), three 16-bit limbs on an 8-bit machine.

{"name":"clay","arguments":{}}

✓ as expected

clay · The Clay register recomputed in exact integer arithmetic: the Lean definitions of Qpu/Clay.lean and its imports ported one for one, every relation_N statement parsed and evaluated, each side's value and the bit width it needs reported. What the Lean kernel accepted by rfl, redone with + − × ÷ on naturals only, so a small machine can redo the same sums and compare addresses. Nothing here is a proof of an open problem: the relations are identities between the unit's own constants.

Relations

54

Holding

54

Widest value

33 bits

Relation	Holds	Bits	Sides
relation_8	✓	4	vertices = 8 · hybridSpeed = 8 · mintOf n = 8
relation_15	✓	4	magicBlock = 15 · glProd hexbit seed = 15 · qftDepth vertices = 15
relation_16	✓	5	mintOf hexbit = 16 · powMod coins rays plane = 16 · powMod coins hexbit bits = 16
relation_32	✓	6	bits = 32 · chimera coins = 32 · qaoaZz vertices hexbit = 32
relation_128	✓	8	mintOf rays = 128 · chimera hexbit = 128 · isingFusion vertices = 128
relation_28	✓	5	plane = 28 · chooseOf vertices coins = 28 · choose vertices coins = 28
relation_256	✓	9	mintOf vertices = 256 · groverSize hexbit = 256 · qaoaZz vertices bits = 256
relation_10	✓	4	triangular hexbit = 10 · qftGates hexbit = 10
relation_14	✓	4	faces = 14 · coil = 14 · qaoaParams rays = 14
relation_21	✓	5	chooseOf rays coins = 21 · fibFusion vertices = 21 · powMod rays coins plane = 21
relation_25	✓	5	powMod n hexbit plane = 25 · powMod n faces bits = 25 · powMod n plane plane = 25
relation_64	✓	7	isingFusion rays = 64 · groverSize n = 64 · qaoaParams bits = 64
relation_16384	✓	15	mintOf faces = 16384 · groverSize rays = 16384 · qftStates faces = 16384
relation_13	✓	4	fibFusion rays = 13 · powMod n n faces = 13 · half n faces = 13
relation_24	✓	5	powMod faces n bits = 24 · cliffordOrder seed = 24 · factorial hexbit = 24
relation_35	✓	6	magicCubic = 35 · chooseOf rays n = 35 · chooseOf rays hexbit = 35
relation_105	✓	7	triangular faces = 105 · qftGates faces = 105
relation_268435456	✓	29	mintOf plane = 268435456 · groverSize faces = 268435456 · qftStates plane = 268435456
relation_4294967296	✓	33	amplitudes = 4294967296 · mintOf bits = 4294967296 · qftStates bits = 4294967296
relation_9	✓	4	powMod n coins bits = 9 · powMod n coins faces = 9 · powMod n coins plane = 9
relation_12	✓	4	groverIters hexbit = 12 · qaoaZz n hexbit = 12 · qaoaZz hexbit n = 12
relation_17	✓	5	powMod n hexbit bits = 17 · powMod n plane bits = 17 · powMod rays coins bits = 17
relation_56	✓	6	chooseOf vertices n = 56 · choose vertices n = 56 · qaoaParams plane = 56
relation_70	✓	7	chooseOf vertices hexbit = 70 · choose vertices hexbit = 70
relation_1024	✓	11	qaoaZz bits bits = 1024 · qaoaX bits bits = 1024 · paulis hexbit = 1024
relation_27	✓	5	powMod n n bits = 27 · powMod n n plane = 27 · half n plane = 27
relation_36	✓	6	triangular vertices = 36 · qftGates vertices = 36
relation_42	✓	6	glProd n coins = 42 · qaoaZz n faces = 42 · qaoaZz faces n = 42
relation_49	✓	6	qaoaZz rays rays = 49 · qaoaX rays rays = 49
relation_91	✓	7	chooseOf faces coins = 91 · choose faces coins = 91
relation_96	✓	7	qaoaZz n bits = 96 · qaoaZz bits n = 96 · qaoaX n bits = 96
relation_196	✓	8	qaoaZz rays plane = 196 · qaoaZz faces faces = 196 · qaoaZz plane rays = 196
relation_224	✓	8	qaoaZz rays bits = 224 · qaoaZz vertices plane = 224 · qaoaZz bits rays = 224
relation_364	✓	9	chooseOf faces n = 364 · choose faces n = 364
relation_378	✓	9	chooseOf plane coins = 378 · choose plane coins = 378
relation_392	✓	9	chimera rays = 392 · qaoaZz faces plane = 392 · qaoaZz plane faces = 392
relation_406	✓	9	triangular plane = 406 · qftGates plane = 406
relation_496	✓	9	chooseOf bits coins = 496 · choose bits coins = 496
relation_528	✓	10	triangular bits = 528 · qftGates bits = 528
relation_1001	✓	10	chooseOf faces hexbit = 1001 · choose faces hexbit = 1001
relation_3003	✓	12	chooseOf faces vertices = 3003 · choose faces vertices = 3003
relation_3276	✓	12	chooseOf plane n = 3276 · choose plane n = 3276
relation_3432	✓	12	chooseOf faces rays = 3432 · choose faces rays = 3432
relation_4960	✓	13	chooseOf bits n = 4960 · choose bits n = 4960
relation_8192	✓	14	chimera bits = 8192 · isingFusion faces = 8192
relation_20475	✓	15	chooseOf plane hexbit = 20475 · choose plane hexbit = 20475
relation_35960	✓	16	chooseOf bits hexbit = 35960 · chooseOf bits plane = 35960 · choose bits hexbit = 35960
relation_65536	✓	17	groverSize vertices = 65536 · paulis rays = 65536
relation_1184040	✓	21	chooseOf plane rays = 1184040 · choose plane rays = 1184040
relation_3108105	✓	22	chooseOf plane vertices = 3108105 · choose plane vertices = 3108105
relation_3365856	✓	22	chooseOf bits rays = 3365856 · choose bits rays = 3365856
relation_10518300	✓	24	chooseOf bits vertices = 10518300 · choose bits vertices = 10518300
relation_40116600	✓	26	chooseOf plane faces = 40116600 · choose plane faces = 40116600
relation_471435600	✓	29	chooseOf bits faces = 471435600 · choose bits faces = 471435600

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "relations": [
    {
      "name": "relation_8",
      "statement": "vertices = hybridSpeed ∧ vertices = mintOf n",
      "sides": [
        {
          "expression": "vertices",
          "value": 8
        },
        {
          "expression": "hybridSpeed",
          "value": 8
        },
        {
          "expression": "mintOf n",
          "value": 8
        }
      ],
      "holds": true,
      "bits": 4
    },
    {
      "name": "relation_15",
      "statement": "magicBlock = glProd hexbit seed ∧ magicBlock = qftDepth vertices",
      "sides": [
        {
          "expression": "magicBlock",
          "value": 15
        },
        {
          "expression": "glProd hexbit seed",
          "value": 15
        },
        {
          "expression": "qftDepth vertices",
          "value": 15
        }
      ],
      "holds": true,
      "bits": 4
    },
    {
      "name": "relation_16",
      "statement": "mintOf hexbit = powMod coins rays plane ∧ mintOf hexbit = powMod coins hexbit bits",
      "sides": [
        {
          "expression": "mintOf hexbit",
          "value": 16
        },
        {
          "expression": "powMod coins rays plane",
          "value": 16
        },
        {
          "expression": "powMod coins hexbit bits",
          "value": 16
        }
      ],
      "holds": true,
      "bits": 5
    },
    {
      "name": "relation_32",
      "statement": "bits = chimera coins ∧ bits = qaoaZz vertices hexbit",
      "sides": [
        {
          "expression": "bits",
          "value": 32
        },
        {
          "expression": "chimera coins",
          "value": 32
        },
        {
          "expression": "qaoaZz vertices hexbit",
          "value": 32
        }
      ],
      "holds": true,
      "bits": 6
    },
    {
      "name": "relation_128",
      "statement": "mintOf rays = chimera hexbit ∧ mintOf rays = isingFusion vertices",
      "sides": [
        {
          "expression": "mintOf rays",
          "value": 128
        },
        {
          "expression": "chimera hexbit",
          "value": 128
        },
        {
          "expression": "isingFusion vertices",
          "value": 128
        }
      ],
      "holds": true,
      "bits": 8
    },
    {
      "name": "relation_28",
      "statement": "plane = chooseOf vertices coins ∧ plane = choose vertices coins",
      "sides": [
        {
          "expression": "plane",
          "value": 28
        },
        {
          "expression": "chooseOf vertices coins",
          "value": 28
        },
        {
          "expression": "choose vertices coins",
          "value": 28
        }
      ],
      "holds": true,
      "bits": 5
    },
    {
      "name": "relation_256",
      "statement": "mintOf vertices = groverSize hexbit ∧ mintOf vertices = qaoaZz vertices bits",
      "sides": [
        {
          "expression": "mintOf vertices",
          "value": 256
        },
        {
          "expression": "groverSize hexbit",
          "value": 256
        },
        {
          "expression": "qaoaZz vertices bits",
          "value": 256
        }
      ],
      "holds": true,
      "bits": 9
    },
    {
      "name": "relation_10",
      "statement": "triangular hexbit = qftGates hexbit",
      "sides": [
        {
          "expression": "triangular hexbit",
          "value": 10
        },
        {
          "expression": "qftGates hexbit",
          "value": 10
        }
      ],
      "holds": true,
      "bits": 4
    },
    {
      "name": "relation_14",
      "statement": "faces = coil ∧ faces = qaoaParams rays",
      "sides": [
        {
          "expression": "faces",
          "value": 14
        },
        {
          "expression": "coil",
          "value": 14
        },
        {
          "expression": "qaoaParams rays",
          "value": 14
        }
      ],
      "holds": true,
      "bits": 4
    },
    {
      "name": "relation_21",
      "statement": "chooseOf rays coins = fibFusion vertices ∧ chooseOf rays coins = powMod rays coins plane",
      "sides": [
        {
          "expression": "chooseOf rays coins",
          "value": 21
        },
        {
          "expression": "fibFusion vertices",
          "value": 21
        },
        {
          "expression": "powMod rays coins plane",
          "value": 21
        }
      ],
      "holds": true,
      "bits": 5
    },
    {
      "name": "relation_25",
      "statement": "powMod n hexbit plane = powMod n faces bits ∧ powMod n hexbit plane = powMod n plane plane",
      "sides": [
        {
          "expression": "powMod n hexbit plane",
          "value": 25
        },
        {
          "expression": "powMod n faces bits",
          "value": 25
        },
        {
          "expression": "powMod n plane plane",
          "value": 25
        }
      ],
      "holds": true,
      "bits": 5
    },
    {
      "name": "relation_64",
      "statement": "isingFusion rays = groverSize n ∧ isingFusion rays = qaoaParams bits",
      "sides": [
        {
          "expression": "isingFusion rays",
          "value": 64
        },
        {
          "expression": "groverSize n",
          "value": 64
        },
        {
          "expression": "qaoaParams bits",
          "value": 64
        }
      ],
      "holds": true,
      "bits": 7
    },
    {
      "name": "relation_16384",
      "statement": "mintOf faces = groverSize rays ∧ mintOf faces = qftStates faces",
      "sides": [
        {
          "expression": "mintOf faces",
          "value": 16384
        },
        {
          "expression": "groverSize rays",
          "value": 16384
        },
        {
          "expression": "qftStates faces",
          "value": 16384
        }
      ],
      "holds": true,
      "bits": 15
    },
    {
      "name": "relation_13",
      "statement": "fibFusion rays = powMod n n faces ∧ fibFusion rays = half n faces",
      "sides": [
        {
          "expression": "fibFusion rays",
          "value": 13
        },
        {
          "expression": "powMod n n faces",
          "value": 13
        },
        {
          "expression": "half n faces",
          "value": 13
        }
      ],
      "holds": true,
      "bits": 4
    },
    {
      "name": "relation_24",
      "statement": "powMod faces n bits = cliffordOrder seed ∧ powMod faces n bits = factorial hexbit",
      "sides": [
        {
          "expression": "powMod faces n bits",
          "value": 24
        },
        {
          "expression": "cliffordOrder seed",
          "value": 24
        },
        {
          "expression": "factorial hexbit",
          "value": 24
        }
      ],
      "holds": true,
      "bits": 5
    },
    {
      "name": "relation_35",
      "statement": "magicCubic = chooseOf rays n ∧ magicCubic = chooseOf rays hexbit",
      "sides": [
        {
          "expression": "magicCubic",
          "value": 35
        },
        {
          "expression": "chooseOf rays n",
          "value": 35
        },
        {
          "expression": "chooseOf rays hexbit",
          "value": 35
        }
      ],
      "holds": true,
      "bits": 6
    },
    {
      "name": "relation_105",
      "statement": "triangular faces = qftGates faces",
      "sides": [
        {
          "expression": "triangular faces",
          "value": 105
        },
        {
          "expression": "qftGates faces",
          "value": 105
        }
      ],
      "holds": true,
      "bits": 7
    },
    {
      "name": "relation_268435456",
      "statement": "mintOf plane = groverSize faces ∧ mintOf plane = qftStates plane",
      "sides": [
        {
          "expression": "mintOf plane",
          "value": 268435456
        },
        {
          "expression": "groverSize faces",
          "value": 268435456
        },
        {
          "expression": "qftStates plane",
          "value": 268435456
        }
      ],
      "holds": true,
      "bits": 29
    },
    {
      "name": "relation_4294967296",
      "statement": "amplitudes = mintOf bits ∧ amplitudes = qftStates bits",
      "sides": [
        {
          "expression": "amplitudes",
          "value": 4294967296
        },
        {
          "expression": "mintOf bits",
          "value": 4294967296
        },
        {
          "expression": "qftStates bits",
          "value": 4294967296
        }
      ],
      "holds": true,
      "bits": 33
    },
    {
      "name": "relation_9",
      "statement": "powMod n coins bits = powMod n coins faces ∧ powMod n coins bits = powMod n coins plane",
      "sides": [
        {
          "expression": "powMod n coins bits",
          "value": 9
        },
        {
          "expression": "powMod n coins faces",
          "value": 9
        },
        {
          "expression": "powMod n coins plane",
          "value": 9
        }
      ],
      "holds": true,
      "bits": 4
    },
    {
      "name": "relation_12",
      "statement": "groverIters hexbit = qaoaZz n hexbit ∧ groverIters hexbit = qaoaZz hexbit n",
      "sides": [
        {
          "expression": "groverIters hexbit",
          "value": 12
        },
        {
          "expression": "qaoaZz n hexbit",
          "value": 12
        },
        {
          "expression": "qaoaZz hexbit n",
          "value": 12
        }
      ],
      "holds": true,
      "bits": 4
    },
    {
      "name": "relation_17",
      "statement": "powMod n hexbit bits = powMod n plane bits ∧ powMod n hexbit bits = powMod rays coins bits",
      "sides": [
        {
          "expression": "powMod n hexbit bits",
          "value": 17
        },
        {
          "expression": "powMod n plane bits",
          "value": 17
        },
        {
          "expression": "powMod rays coins bits",
          "value": 17
        }
      ],
      "holds": true,
      "bits": 5
    },
    {
      "name": "relation_56",
      "statement": "chooseOf vertices n = choose vertices n ∧ chooseOf vertices n = qaoaParams plane",
      "sides": [
        {
          "expression": "chooseOf vertices n",
          "value": 56
        },
        {
          "expression": "choose vertices n",
          "value": 56
        },
        {
          "expression": "qaoaParams plane",
          "value": 56
        }
      ],
      "holds": true,
      "bits": 6
    },
    {
      "name": "relation_70",
      "statement": "chooseOf vertices hexbit = choose vertices hexbit",
      "sides": [
        {
          "expression": "chooseOf vertices hexbit",
          "value": 70
        },
        {
          "expression": "choose vertices hexbit",
          "value": 70
        }
      ],
      "holds": true,
      "bits": 7
    },
    {
      "name": "relation_1024",
      "statement": "qaoaZz bits bits = qaoaX bits bits ∧ qaoaZz bits bits = paulis hexbit",
      "sides": [
        {
          "expression": "qaoaZz bits bits",
          "value": 1024
        },
        {
          "expression": "qaoaX bits bits",
          "value": 1024
        },
        {
          "expression": "paulis hexbit",
          "value": 1024
        }
      ],
      "holds": true,
      "bits": 11
    },
    {
      "name": "relation_27",
      "statement": "powMod n n bits = powMod n n plane ∧ powMod n n bits = half n plane",
      "sides": [
        {
          "expression": "powMod n n bits",
          "value": 27
        },
        {
          "expression": "powMod n n plane",
          "value": 27
        },
        {
          "expression": "half n plane",
          "value": 27
        }
      ],
      "holds": true,
      "bits": 5
    },
    {
      "name": "relation_36",
      "statement": "triangular vertices = qftGates vertices",
      "sides": [
        {
          "expression": "triangular vertices",
          "value": 36
        },
        {
          "expression": "qftGates vertices",
          "value": 36
        }
      ],
      "holds": true,
      "bits": 6
    },
    {
      "name": "relation_42",
      "statement": "glProd n coins = qaoaZz n faces ∧ glProd n coins = qaoaZz faces n",
      "sides": [
        {
          "expression": "glProd n coins",
          "value": 42
        },
        {
          "expression": "qaoaZz n faces",
          "value": 42
        },
        {
          "expression": "qaoaZz faces n",
          "value": 42
        }
      ],
      "holds": true,
      "bits": 6
    },
    {
      "name": "relation_49",
      "statement": "qaoaZz rays rays = qaoaX rays rays",
      "sides": [
        {
          "expression": "qaoaZz rays rays",
          "value": 49
        },
        {
          "expression": "qaoaX rays rays",
          "value": 49
        }
      ],
      "holds": true,
      "bits": 6
    },
    {
      "name": "relation_91",
      "statement": "chooseOf faces coins = choose faces coins",
      "sides": [
        {
          "expression": "chooseOf faces coins",
          "value": 91
        },
        {
          "expression": "choose faces coins",
          "value": 91
        }
      ],
      "holds": true,
      "bits": 7
    },
    {
      "name": "relation_96",
      "statement": "qaoaZz n bits = qaoaZz bits n ∧ qaoaZz n bits = qaoaX n bits",
      "sides": [
        {
          "expression": "qaoaZz n bits",
          "value": 96
        },
        {
          "expression": "qaoaZz bits n",
          "value": 96
        },
        {
          "expression": "qaoaX n bits",
          "value": 96
        }
      ],
      "holds": true,
      "bits": 7
    },
    {
      "name": "relation_196",
      "statement": "qaoaZz rays plane = qaoaZz faces faces ∧ qaoaZz rays plane = qaoaZz plane rays",
      "sides": [
        {
          "expression": "qaoaZz rays plane",
          "value": 196
        },
        {
          "expression": "qaoaZz faces faces",
          "value": 196
        },
        {
          "expression": "qaoaZz plane rays",
          "value": 196
        }
      ],
      "holds": true,
      "bits": 8
    },
    {
      "name": "relation_224",
      "statement": "qaoaZz rays bits = qaoaZz vertices plane ∧ qaoaZz rays bits = qaoaZz bits rays",
      "sides": [
        {
          "expression": "qaoaZz rays bits",
          "value": 224
        },
        {
          "expression": "qaoaZz vertices plane",
          "value": 224
        },
        {
          "expression": "qaoaZz bits rays",
          "value": 224
        }
      ],
      "holds": true,
      "bits": 8
    },
    {
      "name": "relation_364",
      "statement": "chooseOf faces n = choose faces n",
      "sides": [
        {
          "expression": "chooseOf faces n",
          "value": 364
        },
        {
          "expression": "choose faces n",
          "value": 364
        }
      ],
      "holds": true,
      "bits": 9
    },
    {
      "name": "relation_378",
      "statement": "chooseOf plane coins = choose plane coins",
      "sides": [
        {
          "expression": "chooseOf plane coins",
          "value": 378
        },
        {
          "expression": "choose plane coins",
          "value": 378
        }
      ],
      "holds": true,
      "bits": 9
    },
    {
      "name": "relation_392",
      "statement": "chimera rays = qaoaZz faces plane ∧ chimera rays = qaoaZz plane faces",
      "sides": [
        {
          "expression": "chimera rays",
          "value": 392
        },
        {
          "expression": "qaoaZz faces plane",
          "value": 392
        },
        {
          "expression": "qaoaZz plane faces",
          "value": 392
        }
      ],
      "holds": true,
      "bits": 9
    },
    {
      "name": "relation_406",
      "statement": "triangular plane = qftGates plane",
      "sides": [
        {
          "expression": "triangular plane",
          "value": 406
        },
        {
          "expression": "qftGates plane",
          "value": 406
        }
      ],
      "holds": true,
      "bits": 9
    },
    {
      "name": "relation_496",
      "statement": "chooseOf bits coins = choose bits coins",
      "sides": [
        {
          "expression": "chooseOf bits coins",
          "value": 496
        },
        {
          "expression": "choose bits coins",
          "value": 496
        }
      ],
      "holds": true,
      "bits": 9
    },
    {
      "name": "relation_528",
      "statement": "triangular bits = qftGates bits",
      "sides": [
        {
          "expression": "triangular bits",
          "value": 528
        },
        {
          "expression": "qftGates bits",
          "value": 528
        }
      ],
      "holds": true,
      "bits": 10
    },
    {
      "name": "relation_1001",
      "statement": "chooseOf faces hexbit = choose faces hexbit",
      "sides": [
        {
          "expression": "chooseOf faces hexbit",
          "value": 1001
        },
        {
          "expression": "choose faces hexbit",
          "value": 1001
        }
      ],
      "holds": true,
      "bits": 10
    },
    {
      "name": "relation_3003",
      "statement": "chooseOf faces vertices = choose faces vertices",
      "sides": [
        {
          "expression": "chooseOf faces vertices",
          "value": 3003
        },
        {
          "expression": "choose faces vertices",
          "value": 3003
        }
      ],
      "holds": true,
      "bits": 12
    },
    {
      "name": "relation_3276",
      "statement": "chooseOf plane n = choose plane n",
      "sides": [
        {
          "expression": "chooseOf plane n",
          "value": 3276
        },
        {
          "expression": "choose plane n",
          "value": 3276
        }
      ],
      "holds": true,
      "bits": 12
    },
    {
      "name": "relation_3432",
      "statement": "chooseOf faces rays = choose faces rays",
      "sides": [
        {
          "expression": "chooseOf faces rays",
          "value": 3432
        },
        {
          "expression": "choose faces rays",
          "value": 3432
        }
      ],
      "holds": true,
      "bits": 12
    },
    {
      "name": "relation_4960",
      "statement": "chooseOf bits n = choose bits n",
      "sides": [
        {
          "expression": "chooseOf bits n",
          "value": 4960
        },
        {
          "expression": "choose bits n",
          "value": 4960
        }
      ],
      "holds": true,
      "bits": 13
    },
    {
      "name": "relation_8192",
      "statement": "chimera bits = isingFusion faces",
      "sides": [
        {
          "expression": "chimera bits",
          "value": 8192
        },
        {
          "expression": "isingFusion faces",
          "value": 8192
        }
      ],
      "holds": true,
      "bits": 14
    },
    {
      "name": "relation_20475",
      "statement": "chooseOf plane hexbit = choose plane hexbit",
      "sides": [
        {
          "expression": "chooseOf plane hexbit",
          "value": 20475
        },
        {
          "expression": "choose plane hexbit",
          "value": 20475
        }
      ],
      "holds": true,
      "bits": 15
    },
    {
      "name": "relation_35960",
      "statement": "chooseOf bits hexbit = chooseOf bits plane ∧ chooseOf bits hexbit = choose bits hexbit",
      "sides": [
        {
          "expression": "chooseOf bits hexbit",
          "value": 35960
        },
        {
          "expression": "chooseOf bits plane",
          "value": 35960
        },
        {
          "expression": "choose bits hexbit",
          "value": 35960
        }
      ],
      "holds": true,
      "bits": 16
    },
    {
      "name": "relation_65536",
      "statement": "groverSize vertices = paulis rays",
      "sides": [
        {
          "expression": "groverSize vertices",
          "value": 65536
        },
        {
          "expression": "paulis rays",
          "value": 65536
        }
      ],
      "holds": true,
      "bits": 17
    },
    {
      "name": "relation_1184040",
      "statement": "chooseOf plane rays = choose plane rays",
      "sides": [
        {
          "expression": "chooseOf plane rays",
          "value": 1184040
        },
        {
          "expression": "choose plane rays",
          "value": 1184040
        }
      ],
      "holds": true,
      "bits": 21
    },
    {
      "name": "relation_3108105",
      "statement": "chooseOf plane vertices = choose plane vertices",
      "sides": [
        {
          "expression": "chooseOf plane vertices",
          "value": 3108105
        },
        {
          "expression": "choose plane vertices",
          "value": 3108105
        }
      ],
      "holds": true,
      "bits": 22
    },
    {
      "name": "relation_3365856",
      "statement": "chooseOf bits rays = choose bits rays",
      "sides": [
        {
          "expression": "chooseOf bits rays",
          "value": 3365856
        },
        {
          "expression": "choose bits rays",
          "value": 3365856
        }
      ],
      "holds": true,
      "bits": 22
    },
    {
      "name": "relation_10518300",
      "statement": "chooseOf bits vertices = choose bits vertices",
      "sides": [
        {
          "expression": "chooseOf bits vertices",
          "value": 10518300
        },
        {
          "expression": "choose bits vertices",
          "value": 10518300
        }
      ],
      "holds": true,
      "bits": 24
    },
    {
      "name": "relation_40116600",
      "statement": "chooseOf plane faces = choose plane faces",
      "sides": [
        {
          "expression": "chooseOf plane faces",
          "value": 40116600
        },
        {
          "expression": "choose plane faces",
          "value": 40116600
        }
      ],
      "holds": true,
      "bits": 26
    },
    {
      "name": "relation_471435600",
      "statement": "chooseOf bits faces = choose bits faces",
      "sides": [
        {
          "expression": "chooseOf bits faces",
          "value": 471435600
        },
        {
          "expression": "choose bits faces",
          "value": 471435600
        }
      ],
      "holds": true,
      "bits": 29
    }
  ],
  "total": 54,
  "holding": 54,
  "maxBits": 33,
  "maxLimbs16": 3,
  "ledger": "relation_8=8\nrelation_15=15\nrelation_16=16\nrelation_32=32\nrelation_128=128\nrelation_28=28\nrelation_256=256\nrelation_10=10\nrelation_14=14\nrelation_21=21\nrelation_25=25\nrelation_64=64\nrelation_16384=16384\nrelation_13=13\nrelation_24=24\nrelation_35=35\nrelation_105=105\nrelation_268435456=268435456\nrelation_4294967296=4294967296\nrelation_9=9\nrelation_12=12\nrelation_17=17\nrelation_56=56\nrelation_70=70\nrelation_1024=1024\nrelation_27=27\nrelation_36=36\nrelation_42=42\nrelation_49=49\nrelation_91=91\nrelation_96=96\nrelation_196=196\nrelation_224=224\nrelation_364=364\nrelation_378=378\nrelation_392=392\nrelation_406=406\nrelation_496=496\nrelation_528=528\nrelation_1001=1001\nrelation_3003=3003\nrelation_3276=3276\nrelation_3432=3432\nrelation_4960=4960\nrelation_8192=8192\nrelation_20475=20475\nrelation_35960=35960\nrelation_65536=65536\nrelation_1184040=1184040\nrelation_3108105=3108105\nrelation_3365856=3365856\nrelation_10518300=10518300\nrelation_40116600=40116600\nrelation_471435600=471435600"
}

clay · clay-reflection

The register read by the technique: every relation's value as a vortex seed with its σ_10 reflection and both trinities, the relations whose seeds reflect each other paired, the fixed ones (seed 5) and the ones in the key's trinity named, and the plan to ask the unit's sequence door every value.

{"name":"clay","arguments":{"technique":"reflection"}}

✓ as expected

clay · The Clay register recomputed in exact integer arithmetic: the Lean definitions of Qpu/Clay.lean and its imports ported one for one, every relation_N statement parsed and evaluated, each side's value and the bit width it needs reported. What the Lean kernel accepted by rfl, redone with + − × ÷ on naturals only, so a small machine can redo the same sums and compare addresses. Nothing here is a proof of an open problem: the relations are identities between the unit's own constants.

Relations

54

Holding

54

Widest value

33 bits

Relation	Holds	Bits	Sides
relation_8	✓	4	vertices = 8 · hybridSpeed = 8 · mintOf n = 8
relation_15	✓	4	magicBlock = 15 · glProd hexbit seed = 15 · qftDepth vertices = 15
relation_16	✓	5	mintOf hexbit = 16 · powMod coins rays plane = 16 · powMod coins hexbit bits = 16
relation_32	✓	6	bits = 32 · chimera coins = 32 · qaoaZz vertices hexbit = 32
relation_128	✓	8	mintOf rays = 128 · chimera hexbit = 128 · isingFusion vertices = 128
relation_28	✓	5	plane = 28 · chooseOf vertices coins = 28 · choose vertices coins = 28
relation_256	✓	9	mintOf vertices = 256 · groverSize hexbit = 256 · qaoaZz vertices bits = 256
relation_10	✓	4	triangular hexbit = 10 · qftGates hexbit = 10
relation_14	✓	4	faces = 14 · coil = 14 · qaoaParams rays = 14
relation_21	✓	5	chooseOf rays coins = 21 · fibFusion vertices = 21 · powMod rays coins plane = 21
relation_25	✓	5	powMod n hexbit plane = 25 · powMod n faces bits = 25 · powMod n plane plane = 25
relation_64	✓	7	isingFusion rays = 64 · groverSize n = 64 · qaoaParams bits = 64
relation_16384	✓	15	mintOf faces = 16384 · groverSize rays = 16384 · qftStates faces = 16384
relation_13	✓	4	fibFusion rays = 13 · powMod n n faces = 13 · half n faces = 13
relation_24	✓	5	powMod faces n bits = 24 · cliffordOrder seed = 24 · factorial hexbit = 24
relation_35	✓	6	magicCubic = 35 · chooseOf rays n = 35 · chooseOf rays hexbit = 35
relation_105	✓	7	triangular faces = 105 · qftGates faces = 105
relation_268435456	✓	29	mintOf plane = 268435456 · groverSize faces = 268435456 · qftStates plane = 268435456
relation_4294967296	✓	33	amplitudes = 4294967296 · mintOf bits = 4294967296 · qftStates bits = 4294967296
relation_9	✓	4	powMod n coins bits = 9 · powMod n coins faces = 9 · powMod n coins plane = 9
relation_12	✓	4	groverIters hexbit = 12 · qaoaZz n hexbit = 12 · qaoaZz hexbit n = 12
relation_17	✓	5	powMod n hexbit bits = 17 · powMod n plane bits = 17 · powMod rays coins bits = 17
relation_56	✓	6	chooseOf vertices n = 56 · choose vertices n = 56 · qaoaParams plane = 56
relation_70	✓	7	chooseOf vertices hexbit = 70 · choose vertices hexbit = 70
relation_1024	✓	11	qaoaZz bits bits = 1024 · qaoaX bits bits = 1024 · paulis hexbit = 1024
relation_27	✓	5	powMod n n bits = 27 · powMod n n plane = 27 · half n plane = 27
relation_36	✓	6	triangular vertices = 36 · qftGates vertices = 36
relation_42	✓	6	glProd n coins = 42 · qaoaZz n faces = 42 · qaoaZz faces n = 42
relation_49	✓	6	qaoaZz rays rays = 49 · qaoaX rays rays = 49
relation_91	✓	7	chooseOf faces coins = 91 · choose faces coins = 91
relation_96	✓	7	qaoaZz n bits = 96 · qaoaZz bits n = 96 · qaoaX n bits = 96
relation_196	✓	8	qaoaZz rays plane = 196 · qaoaZz faces faces = 196 · qaoaZz plane rays = 196
relation_224	✓	8	qaoaZz rays bits = 224 · qaoaZz vertices plane = 224 · qaoaZz bits rays = 224
relation_364	✓	9	chooseOf faces n = 364 · choose faces n = 364
relation_378	✓	9	chooseOf plane coins = 378 · choose plane coins = 378
relation_392	✓	9	chimera rays = 392 · qaoaZz faces plane = 392 · qaoaZz plane faces = 392
relation_406	✓	9	triangular plane = 406 · qftGates plane = 406
relation_496	✓	9	chooseOf bits coins = 496 · choose bits coins = 496
relation_528	✓	10	triangular bits = 528 · qftGates bits = 528
relation_1001	✓	10	chooseOf faces hexbit = 1001 · choose faces hexbit = 1001
relation_3003	✓	12	chooseOf faces vertices = 3003 · choose faces vertices = 3003
relation_3276	✓	12	chooseOf plane n = 3276 · choose plane n = 3276
relation_3432	✓	12	chooseOf faces rays = 3432 · choose faces rays = 3432
relation_4960	✓	13	chooseOf bits n = 4960 · choose bits n = 4960
relation_8192	✓	14	chimera bits = 8192 · isingFusion faces = 8192
relation_20475	✓	15	chooseOf plane hexbit = 20475 · choose plane hexbit = 20475
relation_35960	✓	16	chooseOf bits hexbit = 35960 · chooseOf bits plane = 35960 · choose bits hexbit = 35960
relation_65536	✓	17	groverSize vertices = 65536 · paulis rays = 65536
relation_1184040	✓	21	chooseOf plane rays = 1184040 · choose plane rays = 1184040
relation_3108105	✓	22	chooseOf plane vertices = 3108105 · choose plane vertices = 3108105
relation_3365856	✓	22	chooseOf bits rays = 3365856 · choose bits rays = 3365856
relation_10518300	✓	24	chooseOf bits vertices = 10518300 · choose bits vertices = 10518300
relation_40116600	✓	26	chooseOf plane faces = 40116600 · choose plane faces = 40116600
relation_471435600	✓	29	chooseOf bits faces = 471435600 · choose bits faces = 471435600

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "relations": [
    {
      "name": "relation_8",
      "statement": "vertices = hybridSpeed ∧ vertices = mintOf n",
      "sides": [
        {
          "expression": "vertices",
          "value": 8
        },
        {
          "expression": "hybridSpeed",
          "value": 8
        },
        {
          "expression": "mintOf n",
          "value": 8
        }
      ],
      "holds": true,
      "bits": 4
    },
    {
      "name": "relation_15",
      "statement": "magicBlock = glProd hexbit seed ∧ magicBlock = qftDepth vertices",
      "sides": [
        {
          "expression": "magicBlock",
          "value": 15
        },
        {
          "expression": "glProd hexbit seed",
          "value": 15
        },
        {
          "expression": "qftDepth vertices",
          "value": 15
        }
      ],
      "holds": true,
      "bits": 4
    },
    {
      "name": "relation_16",
      "statement": "mintOf hexbit = powMod coins rays plane ∧ mintOf hexbit = powMod coins hexbit bits",
      "sides": [
        {
          "expression": "mintOf hexbit",
          "value": 16
        },
        {
          "expression": "powMod coins rays plane",
          "value": 16
        },
        {
          "expression": "powMod coins hexbit bits",
          "value": 16
        }
      ],
      "holds": true,
      "bits": 5
    },
    {
      "name": "relation_32",
      "statement": "bits = chimera coins ∧ bits = qaoaZz vertices hexbit",
      "sides": [
        {
          "expression": "bits",
          "value": 32
        },
        {
          "expression": "chimera coins",
          "value": 32
        },
        {
          "expression": "qaoaZz vertices hexbit",
          "value": 32
        }
      ],
      "holds": true,
      "bits": 6
    },
    {
      "name": "relation_128",
      "statement": "mintOf rays = chimera hexbit ∧ mintOf rays = isingFusion vertices",
      "sides": [
        {
          "expression": "mintOf rays",
          "value": 128
        },
        {
          "expression": "chimera hexbit",
          "value": 128
        },
        {
          "expression": "isingFusion vertices",
          "value": 128
        }
      ],
      "holds": true,
      "bits": 8
    },
    {
      "name": "relation_28",
      "statement": "plane = chooseOf vertices coins ∧ plane = choose vertices coins",
      "sides": [
        {
          "expression": "plane",
          "value": 28
        },
        {
          "expression": "chooseOf vertices coins",
          "value": 28
        },
        {
          "expression": "choose vertices coins",
          "value": 28
        }
      ],
      "holds": true,
      "bits": 5
    },
    {
      "name": "relation_256",
      "statement": "mintOf vertices = groverSize hexbit ∧ mintOf vertices = qaoaZz vertices bits",
      "sides": [
        {
          "expression": "mintOf vertices",
          "value": 256
        },
        {
          "expression": "groverSize hexbit",
          "value": 256
        },
        {
          "expression": "qaoaZz vertices bits",
          "value": 256
        }
      ],
      "holds": true,
      "bits": 9
    },
    {
      "name": "relation_10",
      "statement": "triangular hexbit = qftGates hexbit",
      "sides": [
        {
          "expression": "triangular hexbit",
          "value": 10
        },
        {
          "expression": "qftGates hexbit",
          "value": 10
        }
      ],
      "holds": true,
      "bits": 4
    },
    {
      "name": "relation_14",
      "statement": "faces = coil ∧ faces = qaoaParams rays",
      "sides": [
        {
          "expression": "faces",
          "value": 14
        },
        {
          "expression": "coil",
          "value": 14
        },
        {
          "expression": "qaoaParams rays",
          "value": 14
        }
      ],
      "holds": true,
      "bits": 4
    },
    {
      "name": "relation_21",
      "statement": "chooseOf rays coins = fibFusion vertices ∧ chooseOf rays coins = powMod rays coins plane",
      "sides": [
        {
          "expression": "chooseOf rays coins",
          "value": 21
        },
        {
          "expression": "fibFusion vertices",
          "value": 21
        },
        {
          "expression": "powMod rays coins plane",
          "value": 21
        }
      ],
      "holds": true,
      "bits": 5
    },
    {
      "name": "relation_25",
      "statement": "powMod n hexbit plane = powMod n faces bits ∧ powMod n hexbit plane = powMod n plane plane",
      "sides": [
        {
          "expression": "powMod n hexbit plane",
          "value": 25
        },
        {
          "expression": "powMod n faces bits",
          "value": 25
        },
        {
          "expression": "powMod n plane plane",
          "value": 25
        }
      ],
      "holds": true,
      "bits": 5
    },
    {
      "name": "relation_64",
      "statement": "isingFusion rays = groverSize n ∧ isingFusion rays = qaoaParams bits",
      "sides": [
        {
          "expression": "isingFusion rays",
          "value": 64
        },
        {
          "expression": "groverSize n",
          "value": 64
        },
        {
          "expression": "qaoaParams bits",
          "value": 64
        }
      ],
      "holds": true,
      "bits": 7
    },
    {
      "name": "relation_16384",
      "statement": "mintOf faces = groverSize rays ∧ mintOf faces = qftStates faces",
      "sides": [
        {
          "expression": "mintOf faces",
          "value": 16384
        },
        {
          "expression": "groverSize rays",
          "value": 16384
        },
        {
          "expression": "qftStates faces",
          "value": 16384
        }
      ],
      "holds": true,
      "bits": 15
    },
    {
      "name": "relation_13",
      "statement": "fibFusion rays = powMod n n faces ∧ fibFusion rays = half n faces",
      "sides": [
        {
          "expression": "fibFusion rays",
          "value": 13
        },
        {
          "expression": "powMod n n faces",
          "value": 13
        },
        {
          "expression": "half n faces",
          "value": 13
        }
      ],
      "holds": true,
      "bits": 4
    },
    {
      "name": "relation_24",
      "statement": "powMod faces n bits = cliffordOrder seed ∧ powMod faces n bits = factorial hexbit",
      "sides": [
        {
          "expression": "powMod faces n bits",
          "value": 24
        },
        {
          "expression": "cliffordOrder seed",
          "value": 24
        },
        {
          "expression": "factorial hexbit",
          "value": 24
        }
      ],
      "holds": true,
      "bits": 5
    },
    {
      "name": "relation_35",
      "statement": "magicCubic = chooseOf rays n ∧ magicCubic = chooseOf rays hexbit",
      "sides": [
        {
          "expression": "magicCubic",
          "value": 35
        },
        {
          "expression": "chooseOf rays n",
          "value": 35
        },
        {
          "expression": "chooseOf rays hexbit",
          "value": 35
        }
      ],
      "holds": true,
      "bits": 6
    },
    {
      "name": "relation_105",
      "statement": "triangular faces = qftGates faces",
      "sides": [
        {
          "expression": "triangular faces",
          "value": 105
        },
        {
          "expression": "qftGates faces",
          "value": 105
        }
      ],
      "holds": true,
      "bits": 7
    },
    {
      "name": "relation_268435456",
      "statement": "mintOf plane = groverSize faces ∧ mintOf plane = qftStates plane",
      "sides": [
        {
          "expression": "mintOf plane",
          "value": 268435456
        },
        {
          "expression": "groverSize faces",
          "value": 268435456
        },
        {
          "expression": "qftStates plane",
          "value": 268435456
        }
      ],
      "holds": true,
      "bits": 29
    },
    {
      "name": "relation_4294967296",
      "statement": "amplitudes = mintOf bits ∧ amplitudes = qftStates bits",
      "sides": [
        {
          "expression": "amplitudes",
          "value": 4294967296
        },
        {
          "expression": "mintOf bits",
          "value": 4294967296
        },
        {
          "expression": "qftStates bits",
          "value": 4294967296
        }
      ],
      "holds": true,
      "bits": 33
    },
    {
      "name": "relation_9",
      "statement": "powMod n coins bits = powMod n coins faces ∧ powMod n coins bits = powMod n coins plane",
      "sides": [
        {
          "expression": "powMod n coins bits",
          "value": 9
        },
        {
          "expression": "powMod n coins faces",
          "value": 9
        },
        {
          "expression": "powMod n coins plane",
          "value": 9
        }
      ],
      "holds": true,
      "bits": 4
    },
    {
      "name": "relation_12",
      "statement": "groverIters hexbit = qaoaZz n hexbit ∧ groverIters hexbit = qaoaZz hexbit n",
      "sides": [
        {
          "expression": "groverIters hexbit",
          "value": 12
        },
        {
          "expression": "qaoaZz n hexbit",
          "value": 12
        },
        {
          "expression": "qaoaZz hexbit n",
          "value": 12
        }
      ],
      "holds": true,
      "bits": 4
    },
    {
      "name": "relation_17",
      "statement": "powMod n hexbit bits = powMod n plane bits ∧ powMod n hexbit bits = powMod rays coins bits",
      "sides": [
        {
          "expression": "powMod n hexbit bits",
          "value": 17
        },
        {
          "expression": "powMod n plane bits",
          "value": 17
        },
        {
          "expression": "powMod rays coins bits",
          "value": 17
        }
      ],
      "holds": true,
      "bits": 5
    },
    {
      "name": "relation_56",
      "statement": "chooseOf vertices n = choose vertices n ∧ chooseOf vertices n = qaoaParams plane",
      "sides": [
        {
          "expression": "chooseOf vertices n",
          "value": 56
        },
        {
          "expression": "choose vertices n",
          "value": 56
        },
        {
          "expression": "qaoaParams plane",
          "value": 56
        }
      ],
      "holds": true,
      "bits": 6
    },
    {
      "name": "relation_70",
      "statement": "chooseOf vertices hexbit = choose vertices hexbit",
      "sides": [
        {
          "expression": "chooseOf vertices hexbit",
          "value": 70
        },
        {
          "expression": "choose vertices hexbit",
          "value": 70
        }
      ],
      "holds": true,
      "bits": 7
    },
    {
      "name": "relation_1024",
      "statement": "qaoaZz bits bits = qaoaX bits bits ∧ qaoaZz bits bits = paulis hexbit",
      "sides": [
        {
          "expression": "qaoaZz bits bits",
          "value": 1024
        },
        {
          "expression": "qaoaX bits bits",
          "value": 1024
        },
        {
          "expression": "paulis hexbit",
          "value": 1024
        }
      ],
      "holds": true,
      "bits": 11
    },
    {
      "name": "relation_27",
      "statement": "powMod n n bits = powMod n n plane ∧ powMod n n bits = half n plane",
      "sides": [
        {
          "expression": "powMod n n bits",
          "value": 27
        },
        {
          "expression": "powMod n n plane",
          "value": 27
        },
        {
          "expression": "half n plane",
          "value": 27
        }
      ],
      "holds": true,
      "bits": 5
    },
    {
      "name": "relation_36",
      "statement": "triangular vertices = qftGates vertices",
      "sides": [
        {
          "expression": "triangular vertices",
          "value": 36
        },
        {
          "expression": "qftGates vertices",
          "value": 36
        }
      ],
      "holds": true,
      "bits": 6
    },
    {
      "name": "relation_42",
      "statement": "glProd n coins = qaoaZz n faces ∧ glProd n coins = qaoaZz faces n",
      "sides": [
        {
          "expression": "glProd n coins",
          "value": 42
        },
        {
          "expression": "qaoaZz n faces",
          "value": 42
        },
        {
          "expression": "qaoaZz faces n",
          "value": 42
        }
      ],
      "holds": true,
      "bits": 6
    },
    {
      "name": "relation_49",
      "statement": "qaoaZz rays rays = qaoaX rays rays",
      "sides": [
        {
          "expression": "qaoaZz rays rays",
          "value": 49
        },
        {
          "expression": "qaoaX rays rays",
          "value": 49
        }
      ],
      "holds": true,
      "bits": 6
    },
    {
      "name": "relation_91",
      "statement": "chooseOf faces coins = choose faces coins",
      "sides": [
        {
          "expression": "chooseOf faces coins",
          "value": 91
        },
        {
          "expression": "choose faces coins",
          "value": 91
        }
      ],
      "holds": true,
      "bits": 7
    },
    {
      "name": "relation_96",
      "statement": "qaoaZz n bits = qaoaZz bits n ∧ qaoaZz n bits = qaoaX n bits",
      "sides": [
        {
          "expression": "qaoaZz n bits",
          "value": 96
        },
        {
          "expression": "qaoaZz bits n",
          "value": 96
        },
        {
          "expression": "qaoaX n bits",
          "value": 96
        }
      ],
      "holds": true,
      "bits": 7
    },
    {
      "name": "relation_196",
      "statement": "qaoaZz rays plane = qaoaZz faces faces ∧ qaoaZz rays plane = qaoaZz plane rays",
      "sides": [
        {
          "expression": "qaoaZz rays plane",
          "value": 196
        },
        {
          "expression": "qaoaZz faces faces",
          "value": 196
        },
        {
          "expression": "qaoaZz plane rays",
          "value": 196
        }
      ],
      "holds": true,
      "bits": 8
    },
    {
      "name": "relation_224",
      "statement": "qaoaZz rays bits = qaoaZz vertices plane ∧ qaoaZz rays bits = qaoaZz bits rays",
      "sides": [
        {
          "expression": "qaoaZz rays bits",
          "value": 224
        },
        {
          "expression": "qaoaZz vertices plane",
          "value": 224
        },
        {
          "expression": "qaoaZz bits rays",
          "value": 224
        }
      ],
      "holds": true,
      "bits": 8
    },
    {
      "name": "relation_364",
      "statement": "chooseOf faces n = choose faces n",
      "sides": [
        {
          "expression": "chooseOf faces n",
          "value": 364
        },
        {
          "expression": "choose faces n",
          "value": 364
        }
      ],
      "holds": true,
      "bits": 9
    },
    {
      "name": "relation_378",
      "statement": "chooseOf plane coins = choose plane coins",
      "sides": [
        {
          "expression": "chooseOf plane coins",
          "value": 378
        },
        {
          "expression": "choose plane coins",
          "value": 378
        }
      ],
      "holds": true,
      "bits": 9
    },
    {
      "name": "relation_392",
      "statement": "chimera rays = qaoaZz faces plane ∧ chimera rays = qaoaZz plane faces",
      "sides": [
        {
          "expression": "chimera rays",
          "value": 392
        },
        {
          "expression": "qaoaZz faces plane",
          "value": 392
        },
        {
          "expression": "qaoaZz plane faces",
          "value": 392
        }
      ],
      "holds": true,
      "bits": 9
    },
    {
      "name": "relation_406",
      "statement": "triangular plane = qftGates plane",
      "sides": [
        {
          "expression": "triangular plane",
          "value": 406
        },
        {
          "expression": "qftGates plane",
          "value": 406
        }
      ],
      "holds": true,
      "bits": 9
    },
    {
      "name": "relation_496",
      "statement": "chooseOf bits coins = choose bits coins",
      "sides": [
        {
          "expression": "chooseOf bits coins",
          "value": 496
        },
        {
          "expression": "choose bits coins",
          "value": 496
        }
      ],
      "holds": true,
      "bits": 9
    },
    {
      "name": "relation_528",
      "statement": "triangular bits = qftGates bits",
      "sides": [
        {
          "expression": "triangular bits",
          "value": 528
        },
        {
          "expression": "qftGates bits",
          "value": 528
        }
      ],
      "holds": true,
      "bits": 10
    },
    {
      "name": "relation_1001",
      "statement": "chooseOf faces hexbit = choose faces hexbit",
      "sides": [
        {
          "expression": "chooseOf faces hexbit",
          "value": 1001
        },
        {
          "expression": "choose faces hexbit",
          "value": 1001
        }
      ],
      "holds": true,
      "bits": 10
    },
    {
      "name": "relation_3003",
      "statement": "chooseOf faces vertices = choose faces vertices",
      "sides": [
        {
          "expression": "chooseOf faces vertices",
          "value": 3003
        },
        {
          "expression": "choose faces vertices",
          "value": 3003
        }
      ],
      "holds": true,
      "bits": 12
    },
    {
      "name": "relation_3276",
      "statement": "chooseOf plane n = choose plane n",
      "sides": [
        {
          "expression": "chooseOf plane n",
          "value": 3276
        },
        {
          "expression": "choose plane n",
          "value": 3276
        }
      ],
      "holds": true,
      "bits": 12
    },
    {
      "name": "relation_3432",
      "statement": "chooseOf faces rays = choose faces rays",
      "sides": [
        {
          "expression": "chooseOf faces rays",
          "value": 3432
        },
        {
          "expression": "choose faces rays",
          "value": 3432
        }
      ],
      "holds": true,
      "bits": 12
    },
    {
      "name": "relation_4960",
      "statement": "chooseOf bits n = choose bits n",
      "sides": [
        {
          "expression": "chooseOf bits n",
          "value": 4960
        },
        {
          "expression": "choose bits n",
          "value": 4960
        }
      ],
      "holds": true,
      "bits": 13
    },
    {
      "name": "relation_8192",
      "statement": "chimera bits = isingFusion faces",
      "sides": [
        {
          "expression": "chimera bits",
          "value": 8192
        },
        {
          "expression": "isingFusion faces",
          "value": 8192
        }
      ],
      "holds": true,
      "bits": 14
    },
    {
      "name": "relation_20475",
      "statement": "chooseOf plane hexbit = choose plane hexbit",
      "sides": [
        {
          "expression": "chooseOf plane hexbit",
          "value": 20475
        },
        {
          "expression": "choose plane hexbit",
          "value": 20475
        }
      ],
      "holds": true,
      "bits": 15
    },
    {
      "name": "relation_35960",
      "statement": "chooseOf bits hexbit = chooseOf bits plane ∧ chooseOf bits hexbit = choose bits hexbit",
      "sides": [
        {
          "expression": "chooseOf bits hexbit",
          "value": 35960
        },
        {
          "expression": "chooseOf bits plane",
          "value": 35960
        },
        {
          "expression": "choose bits hexbit",
          "value": 35960
        }
      ],
      "holds": true,
      "bits": 16
    },
    {
      "name": "relation_65536",
      "statement": "groverSize vertices = paulis rays",
      "sides": [
        {
          "expression": "groverSize vertices",
          "value": 65536
        },
        {
          "expression": "paulis rays",
          "value": 65536
        }
      ],
      "holds": true,
      "bits": 17
    },
    {
      "name": "relation_1184040",
      "statement": "chooseOf plane rays = choose plane rays",
      "sides": [
        {
          "expression": "chooseOf plane rays",
          "value": 1184040
        },
        {
          "expression": "choose plane rays",
          "value": 1184040
        }
      ],
      "holds": true,
      "bits": 21
    },
    {
      "name": "relation_3108105",
      "statement": "chooseOf plane vertices = choose plane vertices",
      "sides": [
        {
          "expression": "chooseOf plane vertices",
          "value": 3108105
        },
        {
          "expression": "choose plane vertices",
          "value": 3108105
        }
      ],
      "holds": true,
      "bits": 22
    },
    {
      "name": "relation_3365856",
      "statement": "chooseOf bits rays = choose bits rays",
      "sides": [
        {
          "expression": "chooseOf bits rays",
          "value": 3365856
        },
        {
          "expression": "choose bits rays",
          "value": 3365856
        }
      ],
      "holds": true,
      "bits": 22
    },
    {
      "name": "relation_10518300",
      "statement": "chooseOf bits vertices = choose bits vertices",
      "sides": [
        {
          "expression": "chooseOf bits vertices",
          "value": 10518300
        },
        {
          "expression": "choose bits vertices",
          "value": 10518300
        }
      ],
      "holds": true,
      "bits": 24
    },
    {
      "name": "relation_40116600",
      "statement": "chooseOf plane faces = choose plane faces",
      "sides": [
        {
          "expression": "chooseOf plane faces",
          "value": 40116600
        },
        {
          "expression": "choose plane faces",
          "value": 40116600
        }
      ],
      "holds": true,
      "bits": 26
    },
    {
      "name": "relation_471435600",
      "statement": "chooseOf bits faces = choose bits faces",
      "sides": [
        {
          "expression": "chooseOf bits faces",
          "value": 471435600
        },
        {
          "expression": "choose bits faces",
          "value": 471435600
        }
      ],
      "holds": true,
      "bits": 29
    }
  ],
  "total": 54,
  "holding": 54,
  "maxBits": 33,
  "maxLimbs16": 3,
  "ledger": "relation_8=8\nrelation_15=15\nrelation_16=16\nrelation_32=32\nrelation_128=128\nrelation_28=28\nrelation_256=256\nrelation_10=10\nrelation_14=14\nrelation_21=21\nrelation_25=25\nrelation_64=64\nrelation_16384=16384\nrelation_13=13\nrelation_24=24\nrelation_35=35\nrelation_105=105\nrelation_268435456=268435456\nrelation_4294967296=4294967296\nrelation_9=9\nrelation_12=12\nrelation_17=17\nrelation_56=56\nrelation_70=70\nrelation_1024=1024\nrelation_27=27\nrelation_36=36\nrelation_42=42\nrelation_49=49\nrelation_91=91\nrelation_96=96\nrelation_196=196\nrelation_224=224\nrelation_364=364\nrelation_378=378\nrelation_392=392\nrelation_406=406\nrelation_496=496\nrelation_528=528\nrelation_1001=1001\nrelation_3003=3003\nrelation_3276=3276\nrelation_3432=3432\nrelation_4960=4960\nrelation_8192=8192\nrelation_20475=20475\nrelation_35960=35960\nrelation_65536=65536\nrelation_1184040=1184040\nrelation_3108105=3108105\nrelation_3365856=3365856\nrelation_10518300=10518300\nrelation_40116600=40116600\nrelation_471435600=471435600",
  "technique": "reflection",
  "pairsCount": 163,
  "fixedCount": 4,
  "tunedCount": 22,
  "seeds": 9,
  "unitAsked": 0,
  "unitAgree": 0,
  "unitDisagree": 0,
  "unitRefused": 0,
  "readings": [
    {
      "name": "relation_8",
      "value": 8,
      "seed": 8,
      "reflection": 2,
      "trinity": [
        2,
        5,
        8
      ],
      "reflected": [
        8,
        5,
        2
      ],
      "tuned": false,
      "fixed": false
    },
    {
      "name": "relation_15",
      "value": 15,
      "seed": 6,
      "reflection": 4,
      "trinity": [
        3,
        6,
        9
      ],
      "reflected": [
        7,
        4,
        1
      ],
      "tuned": true,
      "fixed": false
    },
    {
      "name": "relation_16",
      "value": 16,
      "seed": 7,
      "reflection": 3,
      "trinity": [
        7,
        4,
        1
      ],
      "reflected": [
        3,
        6,
        9
      ],
      "tuned": false,
      "fixed": false
    },
    {
      "name": "relation_32",
      "value": 32,
      "seed": 5,
      "reflection": 5,
      "trinity": [
        2,
        5,
        8
      ],
      "reflected": [
        8,
        5,
        2
      ],
      "tuned": false,
      "fixed": true
    },
    {
      "name": "relation_128",
      "value": 128,
      "seed": 2,
      "reflection": 8,
      "trinity": [
        2,
        5,
        8
      ],
      "reflected": [
        8,
        5,
        2
      ],
      "tuned": false,
      "fixed": false
    },
    {
      "name": "relation_28",
      "value": 28,
      "seed": 1,
      "reflection": 9,
      "trinity": [
        7,
        4,
        1
      ],
      "reflected": [
        3,
        6,
        9
      ],
      "tuned": false,
      "fixed": false
    },
    {
      "name": "relation_256",
      "value": 256,
      "seed": 4,
      "reflection": 6,
      "trinity": [
        7,
        4,
        1
      ],
      "reflected": [
        3,
        6,
        9
      ],
      "tuned": false,
      "fixed": false
    },
    {
      "name": "relation_10",
      "value": 10,
      "seed": 1,
      "reflection": 9,
      "trinity": [
        7,
        4,
        1
      ],
      "reflected": [
        3,
        6,
        9
      ],
      "tuned": false,
      "fixed": false
    },
    {
      "name": "relation_14",
      "value": 14,
      "seed": 5,
      "reflection": 5,
      "trinity": [
        2,
        5,
        8
      ],
      "reflected": [
        8,
        5,
        2
      ],
      "tuned": false,
      "fixed": true
    },
    {
      "name": "relation_21",
      "value": 21,
      "seed": 3,
      "reflection": 7,
      "trinity": [
        3,
        6,
        9
      ],
      "reflected": [
        7,
        4,
        1
      ],
      "tuned": true,
      "fixed": false
    },
    {
      "name": "relation_25",
      "value": 25,
      "seed": 7,
      "reflection": 3,
      "trinity": [
        7,
        4,
        1
      ],
      "reflected": [
        3,
        6,
        9
      ],
      "tuned": false,
      "fixed": false
    },
    {
      "name": "relation_64",
      "value": 64,
      "seed": 1,
      "reflection": 9,
      "trinity": [
        7,
        4,
        1
      ],
      "reflected": [
        3,
        6,
        9
      ],
      "tuned": false,
      "fixed": false
    },
    {
      "name": "relation_16384",
      "value": 16384,
      "seed": 4,
      "reflection": 6,
      "trinity": [
        7,
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      "name": "run_sequence",
      "arguments": {
        "input": 1184040
      }
    },
    {
      "name": "run_sequence",
      "arguments": {
        "input": 3108105
      }
    },
    {
      "name": "run_sequence",
      "arguments": {
        "input": 3365856
      }
    },
    {
      "name": "run_sequence",
      "arguments": {
        "input": 10518300
      }
    },
    {
      "name": "run_sequence",
      "arguments": {
        "input": 40116600
      }
    },
    {
      "name": "run_sequence",
      "arguments": {
        "input": 471435600
      }
    }
  ],
  "leads": []
}

clay · clay-relation-15

One relation: magicBlock = glProd hexbit seed = qftDepth vertices = 15.

{"name":"clay","arguments":{"name":"relation_15"}}

✓ as expected

clay · The Clay register recomputed in exact integer arithmetic: the Lean definitions of Qpu/Clay.lean and its imports ported one for one, every relation_N statement parsed and evaluated, each side's value and the bit width it needs reported. What the Lean kernel accepted by rfl, redone with + − × ÷ on naturals only, so a small machine can redo the same sums and compare addresses. Nothing here is a proof of an open problem: the relations are identities between the unit's own constants.

Relations

54

Holding

54

Widest value

33 bits

Relation	Holds	Bits	Sides
relation_15	✓	4	magicBlock = 15 · glProd hexbit seed = 15 · qftDepth vertices = 15

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "relations": [
    {
      "name": "relation_15",
      "statement": "magicBlock = glProd hexbit seed ∧ magicBlock = qftDepth vertices",
      "sides": [
        {
          "expression": "magicBlock",
          "value": 15
        },
        {
          "expression": "glProd hexbit seed",
          "value": 15
        },
        {
          "expression": "qftDepth vertices",
          "value": 15
        }
      ],
      "holds": true,
      "bits": 4
    }
  ],
  "total": 54,
  "holding": 54,
  "maxBits": 33,
  "maxLimbs16": 3,
  "ledger": "relation_8=8\nrelation_15=15\nrelation_16=16\nrelation_32=32\nrelation_128=128\nrelation_28=28\nrelation_256=256\nrelation_10=10\nrelation_14=14\nrelation_21=21\nrelation_25=25\nrelation_64=64\nrelation_16384=16384\nrelation_13=13\nrelation_24=24\nrelation_35=35\nrelation_105=105\nrelation_268435456=268435456\nrelation_4294967296=4294967296\nrelation_9=9\nrelation_12=12\nrelation_17=17\nrelation_56=56\nrelation_70=70\nrelation_1024=1024\nrelation_27=27\nrelation_36=36\nrelation_42=42\nrelation_49=49\nrelation_91=91\nrelation_96=96\nrelation_196=196\nrelation_224=224\nrelation_364=364\nrelation_378=378\nrelation_392=392\nrelation_406=406\nrelation_496=496\nrelation_528=528\nrelation_1001=1001\nrelation_3003=3003\nrelation_3276=3276\nrelation_3432=3432\nrelation_4960=4960\nrelation_8192=8192\nrelation_20475=20475\nrelation_35960=35960\nrelation_65536=65536\nrelation_1184040=1184040\nrelation_3108105=3108105\nrelation_3365856=3365856\nrelation_10518300=10518300\nrelation_40116600=40116600\nrelation_471435600=471435600"
}

verify · verify-seal-and-content

One UUID checked cheaply: its seal from its own 31 nibbles, and its content by one fold.

{"name":"verify","arguments":{"uuid":"70a13419-52d5-2702-a236-d17851bf2b4a","content":"qpu"}}

✓ as expected

verify · Cheap verification of one UUID: its seal (the version nibble the other 31 nibbles decide, one modular power, no content needed), its content (one fold), and its neighbours in a chain (the predecessor it names and the successor that names it). Each check is independent; a check without its input is not decided rather than passed.

UUID

70a13419-52d5-2702-a236-d17851bf2b4a

Valid

✓

Checks decided

2

Check	Result	Evidence
seal	✓	version 2 vs decided 2; variant in 8..b
content	✓	uuidOf(content) = 70a13419-52d5-2702-a236-d17851bf2b4a
prev	not decided	no predecessor given
next	not decided	no successor given

Cost
one modular power for the seal, one fold for the content, two string equalities for the neighbours

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "uuid": "70a13419-52d5-2702-a236-d17851bf2b4a",
  "channel": {
    "uuid": "70a13419-52d5-2702-a236-d17851bf2b4a",
    "handle": "70a13419",
    "middle": "52d52702a236",
    "tail": "d17851bf2b4a",
    "program": [
      5,
      2,
      13,
      5,
      7,
      0,
      2,
      2,
      3,
      6
    ],
    "version": "2",
    "variant": "a",
    "message": {
      "one48": 230314697763658,
      "two24": [
        13727825,
        12528458
      ],
      "three16": [
        53624,
        20927,
        11082
      ],
      "text6": null,
      "timestamp": null,
      "referrer": {
        "handle": "d17851bf",
        "flags": 11082
      },
      "colour": {
        "rgb": "#d17851",
        "key": 0.7467543331834277
      },
      "coordinate": {
        "lat": 57.283593,
        "lon": 88.83156
      },
      "vortex": {
        "seed": 7,
        "reflection": 3,
        "fixed": false,
        "polarity": "plus",
        "trinity": [
          7,
          4,
          1
        ],
        "reflected": [
          3,
          6,
          9
        ],
        "tuned": false,
        "key": 432
      }
    },
    "door": "qpu://70a13419",
    "words": "70a13419 · program 52135702236 · tail d17851bf2b4a"
  },
  "reflection": {
    "of": "70a13419-52d5-2702-a236-d17851bf2b4a",
    "mirror": "8f5ecbe6-ad2a-28fd-8dc9-2e87ae40d4b5",
    "handle": "8f5ecbe6",
    "program": [
      10,
      13,
      2,
      10,
      8,
      15,
      13,
      13,
      12,
      9
    ],
    "tail": "2e87ae40d4b5",
    "readings": {
      "one48": 51160278946997,
      "two24": [
        3049390,
        4248757
      ],
      "three16": [
        11911,
        44608,
        54453
      ],
      "text6": null,
      "timestamp": null,
      "referrer": {
        "handle": "2e87ae40",
        "flags": 54453
      },
      "colour": {
        "rgb": "#2e87ae",
        "key": 0.25324566681657235
      },
      "coordinate": {
        "lat": -57.283593,
        "lon": -88.83156
      },
      "vortex": {
        "seed": 2,
        "reflection": 8,
        "fixed": false,
        "polarity": "minus",
        "trinity": [
          2,
          5,
          8
        ],
        "reflected": [
          8,
          5,
          2
        ],
        "tuned": false,
        "key": 432
      }
    },
    "fixed": 0,
    "note": "σ_15 on nibbles has no fixed point; the pair is two states held at once"
  },
  "valid": true,
  "checks": [
    {
      "check": "seal",
      "passed": true,
      "evidence": "version 2 vs decided 2; variant in 8..b"
    },
    {
      "check": "content",
      "passed": true,
      "evidence": "uuidOf(content) = 70a13419-52d5-2702-a236-d17851bf2b4a"
    },
    {
      "check": "prev",
      "passed": null,
      "evidence": "no predecessor given"
    },
    {
      "check": "next",
      "passed": null,
      "evidence": "no successor given"
    }
  ],
  "decided": 2,
  "cost": "one modular power for the seal, one fold for the content, two string equalities for the neighbours",
  "bound": "the fold is tamper-evident and separates content; it is not collision-resistant against an adversary who searches for one. The docket and the receipts carry a SHA-256 beside it for that case."
}

verify · verify-tampered

A UUID with one nibble changed: the content-decided version no longer agrees, and no content was needed to see it.

{"name":"verify","arguments":{"uuid":"70a13419-52d5-2702-a236-d17851bf2b4b"}}

✓ as expected

verify · Cheap verification of one UUID: its seal (the version nibble the other 31 nibbles decide, one modular power, no content needed), its content (one fold), and its neighbours in a chain (the predecessor it names and the successor that names it). Each check is independent; a check without its input is not decided rather than passed.

UUID

70a13419-52d5-2702-a236-d17851bf2b4b

Valid

✗

Checks decided

1

Check	Result	Evidence
seal	✗	version 2 vs decided 6; variant in 8..b
content	not decided	no content given
prev	not decided	no predecessor given
next	not decided	no successor given

Cost
one modular power for the seal, one fold for the content, two string equalities for the neighbours

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "uuid": "70a13419-52d5-2702-a236-d17851bf2b4b",
  "channel": {
    "uuid": "70a13419-52d5-2702-a236-d17851bf2b4b",
    "handle": "70a13419",
    "middle": "52d52702a236",
    "tail": "d17851bf2b4b",
    "program": [
      5,
      2,
      13,
      5,
      7,
      0,
      2,
      2,
      3,
      6
    ],
    "version": "2",
    "variant": "a",
    "message": {
      "one48": 230314697763659,
      "two24": [
        13727825,
        12528459
      ],
      "three16": [
        53624,
        20927,
        11083
      ],
      "text6": null,
      "timestamp": null,
      "referrer": {
        "handle": "d17851bf",
        "flags": 11083
      },
      "colour": {
        "rgb": "#d17851",
        "key": 0.746754392788076
      },
      "coordinate": {
        "lat": 57.283593,
        "lon": 88.831581
      },
      "vortex": {
        "seed": 8,
        "reflection": 2,
        "fixed": false,
        "polarity": "plus",
        "trinity": [
          2,
          5,
          8
        ],
        "reflected": [
          8,
          5,
          2
        ],
        "tuned": false,
        "key": 432
      }
    },
    "door": "qpu://70a13419",
    "words": "70a13419 · program 52135702236 · tail d17851bf2b4b"
  },
  "reflection": {
    "of": "70a13419-52d5-2702-a236-d17851bf2b4b",
    "mirror": "8f5ecbe6-ad2a-18fd-8dc9-2e87ae40d4b4",
    "handle": "8f5ecbe6",
    "program": [
      10,
      13,
      2,
      10,
      8,
      15,
      13,
      13,
      12,
      9
    ],
    "tail": "2e87ae40d4b4",
    "readings": {
      "one48": 51160278946996,
      "two24": [
        3049390,
        4248756
      ],
      "three16": [
        11911,
        44608,
        54452
      ],
      "text6": null,
      "timestamp": null,
      "referrer": {
        "handle": "2e87ae40",
        "flags": 54452
      },
      "colour": {
        "rgb": "#2e87ae",
        "key": 0.253245607211924
      },
      "coordinate": {
        "lat": -57.283593,
        "lon": -88.831581
      },
      "vortex": {
        "seed": 1,
        "reflection": 9,
        "fixed": false,
        "polarity": "minus",
        "trinity": [
          7,
          4,
          1
        ],
        "reflected": [
          3,
          6,
          9
        ],
        "tuned": false,
        "key": 432
      }
    },
    "fixed": 0,
    "note": "σ_15 on nibbles has no fixed point; the pair is two states held at once"
  },
  "valid": false,
  "checks": [
    {
      "check": "seal",
      "passed": false,
      "evidence": "version 2 vs decided 6; variant in 8..b"
    },
    {
      "check": "content",
      "passed": null,
      "evidence": "no content given"
    },
    {
      "check": "prev",
      "passed": null,
      "evidence": "no predecessor given"
    },
    {
      "check": "next",
      "passed": null,
      "evidence": "no successor given"
    }
  ],
  "decided": 1,
  "cost": "one modular power for the seal, one fold for the content, two string equalities for the neighbours",
  "bound": "the fold is tamper-evident and separates content; it is not collision-resistant against an adversary who searches for one. The docket and the receipts carry a SHA-256 beside it for that case."
}

match · match-willow

Any statement, matched: this one is served by the processor tool.

{"name":"match","arguments":{"statement":"How many qubits does Willow have?"}}

✓ as expected

match · Any statement, matched against everything the surface can do. served: a call answers it and is returned. impossible: the surface proves it cannot, from a schema bound the statement exceeds, a lead whose reason says why, or the handler's own refusal; the cluster then names the served possibilities around it and verify names the live sources the client's MCP can check. unknown: nothing matches, and the statement comes back as a new lead to develop.

Statement

How many qubits does Willow have?

Verdict

served

Tool

processor

Lead

many-qubits-willow (served)

Evidence
example processor-willow: as documented

Served possibility	Kind	Score	Text
processor-willow	example	1.960518550623446	How many qubits Willow has, as its spec sheet states it: 105, with average connectivity 3.47.
echo-benchmark	example	0.9605185506234459	Quantum Echoes as Google states it: Willow, 105 qubits, the 13,000× figure (Google's, not this tree's).
mongo-find	example	0.7472479793097351	A Mongo filter over documents read from the docket: operators, array membership, sort; the match is computed here, the storage is the docket.
mongo-update	example	0.7472479793097351	An update computed as a new document and a new entry linked to the one it replaces: entries are immutable and content-addressed, so history is kept.
algorithm-grover	example	0.7132705713137109	Grover on two qubits finds the marked |00⟩ with certainty.
algorithm-qft-3	example	0.7132705713137109	The QFT of |5⟩ on three qubits: eight amplitudes of equal magnitude.
processor-sycamore	example	0.7132705713137109	Sycamore from its printed diagram: 54 qubits and 88 couplers, derived and stated.
processor	tool	0.46051855062344593	A Google Quantum AI processor as its spec sheet states it: qubits, the grid, the two chips, and the magic-state figures.
qubit-scaling-architecture	lead	0.46051855062344593	served by processor
willow-design-principles	lead	0.46051855062344593	served by processor
willow-spec	lead	0.46051855062344593	served by processor
aps-summit	lead	0.24724797930973505	served by statements
chip-fabrication-precision	lead	0.24724797930973505	served by statements
circuit	tool	0.24724797930973505	Compile a circuit from its operations, placed by an insert strategy, and simulate it. Without noise or observables: the final amplitudes, or sampled bitstrings and their histogram when there is a measurement. With noise channels (as Cirq names them) or Pauli observables: the density matrix, its basis probabilities, trace, purity and the expectation values. A device validates the circuit first.
early-access	lead	0.24724797930973505	served by statements
gate-development	lead	0.24724797930973505	served by processor
home	lead	0.24724797930973505	served by statements
qvm	lead	0.24724797930973505	served by circuit
statements	tool	0.24724797930973505	The statements quantumai.google, its PDFs and the quantumlib repositories make, each as the page states it: Cirq, the definition of quantum computing, progress, responsibility, the vision, the hardware and the full stack, the Willow Early Access Program, neutral atoms, the Sycamore gates, the Weber datasheet, the Quantum Echoes preprint, the campus, qsim, Qualtran, OpenFermion, the Cirq guide pages followed, the Resources, Research, journey, lab and Qubit Game pages, the QEC milestone, the APS summit pages and the sitemap. With a topic, only that one.
willow-blog	lead	0.24724797930973505	served by processor
willow-nature	lead	0.24724797930973505	served by processor
algorithm	tool	0.2132705713137109	The textbook algorithms of the Cirq page: qft and inverse_qft (on 1 to 6 qubits, from input x), phase_estimation (of θ with 1 to 8 bits), grover (two qubits, marked |00>), teleportation (the message state, sent and received), qaoa (depth 1 on the first 2 to 12 sorted qubits of the Sycamore device, the page's instance, with the expected cut), and shor (order finding for N from 3 to 21, the state-vector bound). Each returns its summary and a table.
cryogenic-engineering	lead	0.2132705713137109	served by statements
echo_benchmark	tool	0.2132705713137109	The Quantum Echoes result as Google states it: the processor, its qubits, the speedup, and the molecules.
fault-tolerant-design	tool	0.2132705713137109	Resource counts read from the circuits this repository builds: the QFT on n qubits, Grover, teleportation, Shor for N up to 21, the QAOA instance and the repetition-code cycle. For each: gates by name, two-qubit gates, depth in moments, and the T-count of the gates whose Clifford+T cost is stated (Toffoli 7, T 1, controlled-S 3; Cliffordness computed from each unitary). Rotations and undecomposed gates are listed and left uncounted, and the count says whether it is complete. Qualtran is the cited library for the general case.
page:reference/python/cirq/Circuit	lead	0.2132705713137109	served by circuit
page:reference/python/cirq/DensityMatrixSimulator	lead	0.2132705713137109	served by circuit
page:reference/python/cirq/GateOperation	lead	0.2132705713137109	served by circuit
page:reference/python/cirq/Moment	lead	0.2132705713137109	served by circuit
page:reference/python/cirq/Qid	lead	0.2132705713137109	served by circuit
page:reference/python/cirq/Simulator	lead	0.2132705713137109	served by circuit
qaoa	lead	0.2132705713137109	served by algorithm
qubit-game-interactive	lead	0.2132705713137109	served by statements
sycamore	lead	0.2132705713137109	served by processor
textbook-algorithms	lead	0.2132705713137109	served by algorithm
tunable-coupler-dynamics	lead	0.2132705713137109	served by statements
weber-datasheet	lead	0.2132705713137109	served by statements

Verify live via	URL	Check
source-page	https://quantumai.google/quantumcomputer	the page states: Qubit scaling and chip architecture: qubit quality improved while the count grows; Willow has 105 qubits per its spec sheet (the v1.1.0 lead said 70+, the 2023 chip's count)
oeis	https://oeis.org/search?fmt=json&q=105	the integer 105 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/105	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=70	the integer 70 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/70	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=2023	the integer 2023 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/2023	the summary agrees with the lead's statement
source-page	https://quantumai.google/quantumcomputer	the page states: Willow design: 105 qubits per the spec sheet (the v1.1.0 lead said 70, the 2023 chip's count), tunable qubits and couplers, the full-system approach to error correction
oeis	https://oeis.org/search?fmt=json&q=105	the integer 105 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/105	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=70	the integer 70 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/70	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=2023	the integer 2023 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/2023	the summary agrees with the lead's statement
source-page	https://quantumai.google/static/site-assets/downloads/willow-spec-sheet.pdf	the page states: Willow: 105 qubits, the grid, two chips with their figures
oeis	https://oeis.org/search?fmt=json&q=105	the integer 105 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/105	the summary agrees with the lead's statement
source-page	https://quantumai.google/apsglobalphysics	the page states: The APS Global Physics Summit event pages: sessions, booth, the Willow Early Access Program announcement
source-page	https://quantumai.google/quantumcomputer	the page states: Chip fabrication and calibration: Willow built in the Santa Barbara fabrication facility; error correction informs chip architecture, gate development, fabrication and calibration
source-page	https://github.com/quantumlib/Cirq	the page states: Cirq-Google: integration with Google Quantum AI hardware and the Willow processor
source-page	https://quantumai.google/willowearlyaccess	the page states: Willow Early Access Program, deadline May 15, 2026
oeis	https://oeis.org/search?fmt=json&q=15	the integer 15 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/15	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=2026	the integer 2026 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/2026	the summary agrees with the lead's statement
source-page	https://quantumai.google/quantumcomputer	the page states: Gate development and calibration: the single- and two-qubit gate errors the spec sheet states, applied as noise by the circuit tool
source-page	https://quantumai.google	the page states: The home page: Willow, Quantum Echoes, the Nature papers and the Early Access Program it links
source-page	https://quantumai.google/reference/python/cirq_google/ops/WILLOW	the page states: API reference of cirq_google.ops.WILLOW, not implemented here
source-page	https://quantumai.google/reference/python/cirq_google/ops/willow_gate	the page states: API reference of cirq_google.ops.willow_gate, not implemented here
source-page	https://quantumai.google/cirq/simulate/quantum_virtual_machine	the page states: Virtual processor: a device with noise. The Willow noise is completed from the spec sheet's published medians (single-qubit depolarizing at 1.5 × the gate error, two-qubit at 0.75 × per qubit), which reproduces the sheet's single-qubit error exactly; Google's per-qubit calibration, T1 and readout are not on any public page, so they are not applied
oeis	https://oeis.org/search?fmt=json&q=75	the integer 75 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/75	the summary agrees with the lead's statement
arxiv	https://export.arxiv.org/api/query?id_list=2408.13687	the entry's title and abstract match the statements tool's echoes_preprint topic
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/2408.13687	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=14	the integer 14 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/14	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=02	the integer 02 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/02	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=101	the integer 101 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/101	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=143	the integer 143 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/143	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=63	the integer 63 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/63	the summary agrees with the lead's statement
source-page	https://quantumai.google/quantumcomputer	the page states: Cryogenic engineering: superconducting qubits need specialized cryogenic environments and custom control electronics; the cryostats reach about 10 millikelvin
oeis	https://oeis.org/search?fmt=json&q=10	the integer 10 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/10	the summary agrees with the lead's statement
source-page	https://quantumai.google/cirq/build/qubits	the page states: the page cirq/build/qubits
source-page	https://quantumai.google/reference/python/cirq_google/devices/known_devices/populate_qubits_in_device_proto	the page states: API reference of cirq_google.devices.known_devices.populate_qubits_in_device_proto, not implemented here
source-page	https://quantumai.google/reference/python/cirq_pasqal/pasqal_qubits	the page states: API reference of cirq_pasqal.pasqal_qubits
source-page	https://quantumai.google/reference/python/cirq_pasqal/pasqal_qubits/sqrt	the page states: API reference of cirq_pasqal.pasqal_qubits.sqrt
source-page	https://quantumai.google/reference/python/cirq_pasqal/pasqal_qubits/ThreeDQubit	the page states: API reference of cirq_pasqal.pasqal_qubits.ThreeDQubit
source-page	https://quantumai.google/reference/python/cirq_pasqal/pasqal_qubits/TwoDQubit	the page states: API reference of cirq_pasqal.pasqal_qubits.TwoDQubit
source-page	https://quantumai.google/reference/python/cirq/Circuit	the page states: API reference of cirq.Circuit; implemented here as Circuit (moments, append with an insert strategy, qubits in key order)
source-page	https://quantumai.google/reference/python/cirq/contrib/quirk/linearize_circuit/linearize_circuit_qubits	the page states: API reference of cirq.contrib.quirk.linearize_circuit.linearize_circuit_qubits, not implemented here
source-page	https://quantumai.google/reference/python/cirq/decompose_once_with_qubits	the page states: API reference of cirq.decompose_once_with_qubits, not implemented here
source-page	https://quantumai.google/reference/python/cirq/DensityMatrixSimulator	the page states: API reference of cirq.DensityMatrixSimulator; implemented here as DensityMatrixSimulator (exact channels, up to 8 qubits)
source-page	https://quantumai.google/reference/python/cirq/GateOperation	the page states: API reference of cirq.GateOperation; implemented here as applied (gate.on(*qubits))
source-page	https://quantumai.google/reference/python/cirq/map_clean_and_borrowable_qubits	the page states: API reference of cirq.map_clean_and_borrowable_qubits, not implemented here
source-page	https://quantumai.google/reference/python/cirq/Moment	the page states: API reference of cirq.Moment; implemented here as Moment (operations on disjoint qubits)
source-page	https://quantumai.google/reference/python/cirq/num_qubits	the page states: API reference of cirq.num_qubits, not implemented here
source-page	https://quantumai.google/reference/python/cirq/Qid	the page states: API reference of cirq.Qid; implemented here as keyOf (the qubit key that orders and compares qubits)
source-page	https://quantumai.google/reference/python/cirq/Simulator	the page states: API reference of cirq.Simulator; implemented here as Simulator (simulate (the state vector) and run (sampled bitstrings), up to 20 qubits)
oeis	https://oeis.org/search?fmt=json&q=20	the integer 20 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/20	the summary agrees with the lead's statement
source-page	https://quantumai.google/reference/python/cirq/slice_for_qubits_equal_to	the page states: API reference of cirq.slice_for_qubits_equal_to, not implemented here
source-page	https://quantumai.google/reference/python/openfermion/transforms/opconversions/remove_symmetry_qubits	the page states: API reference of openfermion.transforms.opconversions.remove_symmetry_qubits, not implemented here
source-page	https://quantumai.google/reference/python/openfermion/transforms/opconversions/remove_symmetry_qubits/remove_indices	the page states: API reference of openfermion.transforms.opconversions.remove_symmetry_qubits.remove_indices, not implemented here
source-page	https://quantumai.google/reference/python/openfermion/transforms/taper_off_qubits	the page states: API reference of openfermion.transforms.taper_off_qubits, not implemented here
source-page	https://quantumai.google/reference/python/openfermion/utils/count_qubits	the page states: API reference of openfermion.utils.count_qubits, not implemented here
source-page	https://quantumai.google/cirq/experiments/qaoa/qaoa_maxcut	the page states: QAOA max-cut at p = 1 on Sycamore: the first twelve sorted qubits, their couplers in networkx order, numpy's seed-11 weights (reproduced exactly), the 5 by 5 sweep, and the estimate_cost objective sampled at 20,000 shots
oeis	https://oeis.org/search?fmt=json&q=11	the integer 11 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/11	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=20	the integer 20 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/20	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=000	the integer 000 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/000	the summary agrees with the lead's statement
source-page	https://quantumai.google/resources	the page states: Interactive learning: the Qubit Game, building a quantum computer one qubit at a time, from keeping qubits cool to blocking cosmic rays
source-page	https://quantumai.google/cirq/google/devices	the page states: Sycamore: 54 qubits and 88 couplers, its printed layout, its two-qubit gates
oeis	https://oeis.org/search?fmt=json&q=54	the integer 54 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/54	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=88	the integer 88 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/88	the summary agrees with the lead's statement
source-page	https://quantumai.google/cirq/experiments/textbook_algorithms	the page states: Teleportation, QFT and its inverse, phase estimation, Grover on two qubits
source-page	https://quantumai.google/quantumcomputer	the page states: Tunable qubits and couplers: dynamic performance adjustment and optimization for faster gates and operations
source-page	https://quantumai.google/hardware/datasheet/weber	the page states: The Weber processor datasheet (May 14, 2021): 53 qubits, gate durations, typical errors and T1
oeis	https://oeis.org/search?fmt=json&q=14	the integer 14 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/14	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=2021	the integer 2021 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/2021	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=53	the integer 53 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/53	the summary agrees with the lead's statement

Reflection: n	Hidden factors	By

Reflection: x	Bound	σ_d(x)	QFT angle

Mirror query
many qubit willow
many willow qubit
many willow processor

Lead to develop	Statement

Kind	Candidate	Score	Text
example	processor-willow	1.960518550623446	How many qubits Willow has, as its spec sheet states it: 105, with average connectivity 3.47.
example	echo-benchmark	0.9605185506234459	Quantum Echoes as Google states it: Willow, 105 qubits, the 13,000× figure (Google's, not this tree's).
example	mongo-find	0.7472479793097351	A Mongo filter over documents read from the docket: operators, array membership, sort; the match is computed here, the storage is the docket.
example	mongo-update	0.7472479793097351	An update computed as a new document and a new entry linked to the one it replaces: entries are immutable and content-addressed, so history is kept.
example	algorithm-grover	0.7132705713137109	Grover on two qubits finds the marked |00⟩ with certainty.
example	algorithm-qft-3	0.7132705713137109	The QFT of |5⟩ on three qubits: eight amplitudes of equal magnitude.
example	processor-sycamore	0.7132705713137109	Sycamore from its printed diagram: 54 qubits and 88 couplers, derived and stated.
tool	processor	0.46051855062344593	A Google Quantum AI processor as its spec sheet states it: qubits, the grid, the two chips, and the magic-state figures.
lead	qubit-scaling-architecture	0.46051855062344593	served by processor
lead	willow-design-principles	0.46051855062344593	served by processor
lead	willow-spec	0.46051855062344593	served by processor
lead	aps-summit	0.24724797930973505	served by statements
lead	chip-fabrication-precision	0.24724797930973505	served by statements
tool	circuit	0.24724797930973505	Compile a circuit from its operations, placed by an insert strategy, and simulate it. Without noise or observables: the final amplitudes, or sampled bitstrings and their histogram when there is a measurement. With noise channels (as Cirq names them) or Pauli observables: the density matrix, its basis probabilities, trace, purity and the expectation values. A device validates the circuit first.
lead	cirq-google-integration	0.24724797930973505	partial by circuit: the circuit tool validates circuits against the Willow, Sycamore and Sycamore23 devices and applies Willow's spec-sheet noise, as a virtual engine does; the engine client (programs, jobs, reservations) is described in the google_concepts statement and not implemented
lead	early-access	0.24724797930973505	served by statements
lead	gate-development	0.24724797930973505	served by processor
lead	home	0.24724797930973505	served by statements
lead	page:reference/python/cirq_google/ops/WILLOW	0.24724797930973505	open: in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet
lead	page:reference/python/cirq_google/ops/willow_gate	0.24724797930973505	open: in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet
lead	qvm	0.24724797930973505	served by circuit
tool	statements	0.24724797930973505	The statements quantumai.google, its PDFs and the quantumlib repositories make, each as the page states it: Cirq, the definition of quantum computing, progress, responsibility, the vision, the hardware and the full stack, the Willow Early Access Program, neutral atoms, the Sycamore gates, the Weber datasheet, the Quantum Echoes preprint, the campus, qsim, Qualtran, OpenFermion, the Cirq guide pages followed, the Resources, Research, journey, lab and Qubit Game pages, the QEC milestone, the APS summit pages and the sitemap. With a topic, only that one.
lead	willow-blog	0.24724797930973505	served by processor
lead	willow-nature	0.24724797930973505	served by processor
tool	algorithm	0.2132705713137109	The textbook algorithms of the Cirq page: qft and inverse_qft (on 1 to 6 qubits, from input x), phase_estimation (of θ with 1 to 8 bits), grover (two qubits, marked |00>), teleportation (the message state, sent and received), qaoa (depth 1 on the first 2 to 12 sorted qubits of the Sycamore device, the page's instance, with the expected cut), and shor (order finding for N from 3 to 21, the state-vector bound). Each returns its summary and a table.
lead	cryogenic-engineering	0.2132705713137109	served by statements
tool	echo_benchmark	0.2132705713137109	The Quantum Echoes result as Google states it: the processor, its qubits, the speedup, and the molecules.
tool	fault-tolerant-design	0.2132705713137109	Resource counts read from the circuits this repository builds: the QFT on n qubits, Grover, teleportation, Shor for N up to 21, the QAOA instance and the repetition-code cycle. For each: gates by name, two-qubit gates, depth in moments, and the T-count of the gates whose Clifford+T cost is stated (Toffoli 7, T 1, controlled-S 3; Cliffordness computed from each unitary). Rotations and undecomposed gates are listed and left uncounted, and the count says whether it is complete. Qualtran is the cited library for the general case.
lead	page:cirq/build/qubits	0.2132705713137109	open: in the sitemap (lastmod 2026-07-30); fetchable; no tool follows this page yet
lead	page:reference/python/cirq_google/devices/known_devices/populate_qubits_in_device_proto	0.2132705713137109	open: in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet
lead	page:reference/python/cirq_pasqal/pasqal_qubits	0.2132705713137109	out_of_scope: Pasqal's neutral-atom hardware integration in Cirq, not Google Quantum AI's layer
lead	page:reference/python/cirq_pasqal/pasqal_qubits/sqrt	0.2132705713137109	out_of_scope: Pasqal's neutral-atom hardware integration in Cirq, not Google Quantum AI's layer
lead	page:reference/python/cirq_pasqal/pasqal_qubits/ThreeDQubit	0.2132705713137109	out_of_scope: Pasqal's neutral-atom hardware integration in Cirq, not Google Quantum AI's layer
lead	page:reference/python/cirq_pasqal/pasqal_qubits/TwoDQubit	0.2132705713137109	out_of_scope: Pasqal's neutral-atom hardware integration in Cirq, not Google Quantum AI's layer
lead	page:reference/python/cirq/Circuit	0.2132705713137109	served by circuit
lead	page:reference/python/cirq/contrib/quirk/linearize_circuit/linearize_circuit_qubits	0.2132705713137109	open: in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet
lead	page:reference/python/cirq/decompose_once_with_qubits	0.2132705713137109	open: in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet
lead	page:reference/python/cirq/DensityMatrixSimulator	0.2132705713137109	served by circuit
lead	page:reference/python/cirq/GateOperation	0.2132705713137109	served by circuit
lead	page:reference/python/cirq/map_clean_and_borrowable_qubits	0.2132705713137109	open: in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet
lead	page:reference/python/cirq/Moment	0.2132705713137109	served by circuit
lead	page:reference/python/cirq/num_qubits	0.2132705713137109	open: in the sitemap (lastmod 2026-07-05); fetchable; no tool follows this page yet
lead	page:reference/python/cirq/Qid	0.2132705713137109	served by circuit
lead	page:reference/python/cirq/Simulator	0.2132705713137109	served by circuit
lead	page:reference/python/cirq/slice_for_qubits_equal_to	0.2132705713137109	open: in the sitemap (lastmod 2026-08-15); fetchable; no tool follows this page yet
lead	page:reference/python/openfermion/transforms/opconversions/remove_symmetry_qubits	0.2132705713137109	open: in the sitemap (lastmod 2026-07-17); fetchable; no tool follows this page yet
lead	page:reference/python/openfermion/transforms/opconversions/remove_symmetry_qubits/remove_indices	0.2132705713137109	open: in the sitemap (lastmod 2026-07-17); fetchable; no tool follows this page yet
lead	page:reference/python/openfermion/transforms/taper_off_qubits	0.2132705713137109	open: in the sitemap (lastmod 2026-07-17); fetchable; no tool follows this page yet
lead	page:reference/python/openfermion/utils/count_qubits	0.2132705713137109	open: in the sitemap (lastmod 2026-07-17); fetchable; no tool follows this page yet
lead	qaoa	0.2132705713137109	served by algorithm
lead	qubit-game-interactive	0.2132705713137109	served by statements
lead	sycamore	0.2132705713137109	served by processor
lead	textbook-algorithms	0.2132705713137109	served by algorithm
lead	tunable-coupler-dynamics	0.2132705713137109	served by statements
lead	weber-datasheet	0.2132705713137109	served by statements

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "statement": "How many qubits does Willow have?",
  "verdict": "served",
  "evidence": [
    "example processor-willow: as documented"
  ],
  "tool": "processor",
  "call": {
    "name": "processor",
    "arguments": {
      "name": "Willow"
    }
  },
  "result": {
    "name": "Willow",
    "technology": "superconducting",
    "qubits": 105,
    "statedAverageConnectivity": 3.47,
    "typicalConnectivity": 4,
    "chips": {
      "errorCorrection": {
        "singleQubitGateError": {
          "mean": 0.00035,
          "spread": 0.00029
        },
        "twoQubitGateError": {
          "gate": "CZ",
          "mean": 0.0033,
          "spread": 0.0018
        },
        "measurementError": {
          "mean": 0.0077,
          "spread": 0.0021,
          "scope": "repetitive, measure qubits"
        },
        "t1Microseconds": {
          "mean": 68,
          "spread": 13
        },
        "reset": [
          "multi-level reset (|1> and above)",
          "leakage removal (|2> only)"
        ],
        "errorCorrectionCyclesPerSecond": 909000,
        "surfaceCodeCycleMicroseconds": 1.1,
        "errorSuppression": {
          "distances": [
            3,
            5,
            7
          ],
          "mean": 2.14,
          "spread": 0.02
        }
      },
      "randomCircuitSampling": {
        "singleQubitGateError": {
          "mean": 0.00036,
          "spread": 0.00013
        },
        "twoQubitGateError": {
          "gate": "iSWAP-like",
          "mean": 0.0014,
          "spread": 0.00052
        },
        "measurementError": {
          "mean": 0.0067,
          "spread": 0.0051,
          "scope": "terminal, all qubits"
        },
        "t1Microseconds": {
          "mean": 98,
          "spread": 32
        },
        "reset": [
          "multi-level reset (|1> and above)",
          "leakage removal (|2> only)"
        ],
        "circuitRepetitionsPerSecond": 63000,
        "application": {
          "qubits": 103,
          "depth": 40,
          "xebFidelity": 0.001
        },
        "comparison": {
          "onWillow": "5 minutes",
          "onClassicalSupercomputer": "10^25 years"
        }
      }
    },
    "magicStateCultivation": {
      "errorReductionFactor": 40,
      "logicalFidelity": 0.9999,
      "colorCodeDistance": 3,
      "surfaceCodeDistance": 5
    },
    "errorCorrectionPreprint": {
      "distances": [
        5,
        7
      ],
      "lambda": {
        "mean": 2.14,
        "spread": 0.02
      },
      "logicalErrorPerCycle": {
        "mean": 0.00143,
        "spread": 0.00003
      },
      "qubitsInDistance7Code": 101,
      "repetitionCodeDistances": 29,
      "decoderLatencyMicroseconds": 63,
      "decoderLatencyDistance": 5,
      "cycleMicroseconds": 1.1,
      "beyondBreakEven": {
        "mean": 2.4,
        "spread": 0.3
      },
      "correlatedErrorCycles": 3000000000
    }
  },
  "candidates": [
    {
      "kind": "example",
      "id": "processor-willow",
      "score": 1.960518550623446,
      "hits": 4,
      "text": "How many qubits Willow has, as its spec sheet states it: 105, with average connectivity 3.47."
    },
    {
      "kind": "example",
      "id": "echo-benchmark",
      "score": 0.9605185506234459,
      "hits": 3,
      "text": "Quantum Echoes as Google states it: Willow, 105 qubits, the 13,000× figure (Google's, not this tree's)."
    },
    {
      "kind": "example",
      "id": "mongo-find",
      "score": 0.7472479793097351,
      "hits": 2,
      "text": "A Mongo filter over documents read from the docket: operators, array membership, sort; the match is computed here, the storage is the docket."
    },
    {
      "kind": "example",
      "id": "mongo-update",
      "score": 0.7472479793097351,
      "hits": 2,
      "text": "An update computed as a new document and a new entry linked to the one it replaces: entries are immutable and content-addressed, so history is kept."
    },
    {
      "kind": "example",
      "id": "algorithm-grover",
      "score": 0.7132705713137109,
      "hits": 2,
      "text": "Grover on two qubits finds the marked |00⟩ with certainty."
    },
    {
      "kind": "example",
      "id": "algorithm-qft-3",
      "score": 0.7132705713137109,
      "hits": 2,
      "text": "The QFT of |5⟩ on three qubits: eight amplitudes of equal magnitude."
    },
    {
      "kind": "example",
      "id": "processor-sycamore",
      "score": 0.7132705713137109,
      "hits": 2,
      "text": "Sycamore from its printed diagram: 54 qubits and 88 couplers, derived and stated."
    },
    {
      "kind": "tool",
      "id": "processor",
      "score": 0.46051855062344593,
      "hits": 2,
      "text": "A Google Quantum AI processor as its spec sheet states it: qubits, the grid, the two chips, and the magic-state figures."
    },
    {
      "kind": "lead",
      "id": "qubit-scaling-architecture",
      "score": 0.46051855062344593,
      "hits": 2,
      "text": "served by processor"
    },
    {
      "kind": "lead",
      "id": "willow-design-principles",
      "score": 0.46051855062344593,
      "hits": 2,
      "text": "served by processor"
    },
    {
      "kind": "lead",
      "id": "willow-spec",
      "score": 0.46051855062344593,
      "hits": 2,
      "text": "served by processor"
    },
    {
      "kind": "lead",
      "id": "aps-summit",
      "score": 0.24724797930973505,
      "hits": 1,
      "text": "served by statements"
    },
    {
      "kind": "lead",
      "id": "chip-fabrication-precision",
      "score": 0.24724797930973505,
      "hits": 1,
      "text": "served by statements"
    },
    {
      "kind": "tool",
      "id": "circuit",
      "score": 0.24724797930973505,
      "hits": 1,
      "text": "Compile a circuit from its operations, placed by an insert strategy, and simulate it. Without noise or observables: the final amplitudes, or sampled bitstrings and their histogram when there is a measurement. With noise channels (as Cirq names them) or Pauli observables: the density matrix, its basis probabilities, trace, purity and the expectation values. A device validates the circuit first."
    },
    {
      "kind": "lead",
      "id": "cirq-google-integration",
      "score": 0.24724797930973505,
      "hits": 1,
      "text": "partial by circuit: the circuit tool validates circuits against the Willow, Sycamore and Sycamore23 devices and applies Willow's spec-sheet noise, as a virtual engine does; the engine client (programs, jobs, reservations) is described in the google_concepts statement and not implemented"
    },
    {
      "kind": "lead",
      "id": "early-access",
      "score": 0.24724797930973505,
      "hits": 1,
      "text": "served by statements"
    },
    {
      "kind": "lead",
      "id": "gate-development",
      "score": 0.24724797930973505,
      "hits": 1,
      "text": "served by processor"
    },
    {
      "kind": "lead",
      "id": "home",
      "score": 0.24724797930973505,
      "hits": 1,
      "text": "served by statements"
    },
    {
      "kind": "lead",
      "id": "page:reference/python/cirq_google/ops/WILLOW",
      "score": 0.24724797930973505,
      "hits": 1,
      "text": "open: in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "kind": "lead",
      "id": "page:reference/python/cirq_google/ops/willow_gate",
      "score": 0.24724797930973505,
      "hits": 1,
      "text": "open: in the sitemap (lastmod 2026-07-01); fetchable; no tool follows this page yet"
    },
    {
      "kind": "lead",
      "id": "qvm",
      "score": 0.24724797930973505,
      "hits": 1,
      "text": "served by circuit"
    },
    {
      "kind": "tool",
      "id": "statements",
      "score": 0.24724797930973505,
      "hits": 1,
      "text": "The statements quantumai.google, its PDFs and the quantumlib repositories make, each as the page states it: Cirq, the definition of quantum computing, progress, responsibility, the vision, the hardware and the full stack, the Willow Early Access Program, neutral atoms, the Sycamore gates, the Weber datasheet, the Quantum Echoes preprint, the campus, qsim, Qualtran, OpenFermion, the Cirq guide pages followed, the Resources, Research, journey, lab and Qubit Game pages, the QEC milestone, the APS summit pages and the sitemap. With a topic, only that one."
    },
    {
      "kind": "lead",
      "id": "willow-blog",
      "score": 0.24724797930973505,
      "hits": 1,
      "text": "served by processor"
    },
    {
      "kind": "lead",
      "id": "willow-nature",
      "score": 0.24724797930973505,
      "hits": 1,
      "text": "served by processor"
    },
    {
      "kind": "tool",
      "id": "algorithm",
      "score": 0.2132705713137109,
      "hits": 1,
      "text": "The textbook algorithms of the Cirq page: qft and inverse_qft (on 1 to 6 qubits, from input x), phase_estimation (of θ with 1 to 8 bits), grover (two qubits, marked |00>), teleportation (the message state, sent and received), qaoa (depth 1 on the first 2 to 12 sorted qubits of the Sycamore device, the page's instance, with the expected cut), and shor (order finding for N from 3 to 21, the state-vector bound). Each returns its summary and a table."
    },
    {
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      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=15",
      "accept": "application/json",
      "check": "the integer 15 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/15",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=2026",
      "accept": "application/json",
      "check": "the integer 2026 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/2026",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/quantumcomputer",
      "accept": "text/html",
      "check": "the page states: Gate development and calibration: the single- and two-qubit gate errors the spec sheet states, applied as noise by the circuit tool",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google",
      "accept": "text/html",
      "check": "the page states: The home page: Willow, Quantum Echoes, the Nature papers and the Early Access Program it links",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/cirq_google/ops/WILLOW",
      "accept": "text/html",
      "check": "the page states: API reference of cirq_google.ops.WILLOW, not implemented here",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/cirq_google/ops/willow_gate",
      "accept": "text/html",
      "check": "the page states: API reference of cirq_google.ops.willow_gate, not implemented here",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/cirq/simulate/quantum_virtual_machine",
      "accept": "text/html",
      "check": "the page states: Virtual processor: a device with noise. The Willow noise is completed from the spec sheet's published medians (single-qubit depolarizing at 1.5 × the gate error, two-qubit at 0.75 × per qubit), which reproduces the sheet's single-qubit error exactly; Google's per-qubit calibration, T1 and readout are not on any public page, so they are not applied",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=75",
      "accept": "application/json",
      "check": "the integer 75 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/75",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "arxiv",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://export.arxiv.org/api/query?id_list=2408.13687",
      "accept": "application/atom+xml",
      "check": "the entry's title and abstract match the statements tool's echoes_preprint topic",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/2408.13687",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=14",
      "accept": "application/json",
      "check": "the integer 14 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/14",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=02",
      "accept": "application/json",
      "check": "the integer 02 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/02",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=101",
      "accept": "application/json",
      "check": "the integer 101 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/101",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=143",
      "accept": "application/json",
      "check": "the integer 143 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/143",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=63",
      "accept": "application/json",
      "check": "the integer 63 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/63",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/quantumcomputer",
      "accept": "text/html",
      "check": "the page states: Cryogenic engineering: superconducting qubits need specialized cryogenic environments and custom control electronics; the cryostats reach about 10 millikelvin",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=10",
      "accept": "application/json",
      "check": "the integer 10 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/10",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/cirq/build/qubits",
      "accept": "text/html",
      "check": "the page states: the page cirq/build/qubits",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/cirq_google/devices/known_devices/populate_qubits_in_device_proto",
      "accept": "text/html",
      "check": "the page states: API reference of cirq_google.devices.known_devices.populate_qubits_in_device_proto, not implemented here",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/cirq_pasqal/pasqal_qubits",
      "accept": "text/html",
      "check": "the page states: API reference of cirq_pasqal.pasqal_qubits",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/cirq_pasqal/pasqal_qubits/sqrt",
      "accept": "text/html",
      "check": "the page states: API reference of cirq_pasqal.pasqal_qubits.sqrt",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/cirq_pasqal/pasqal_qubits/ThreeDQubit",
      "accept": "text/html",
      "check": "the page states: API reference of cirq_pasqal.pasqal_qubits.ThreeDQubit",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/cirq_pasqal/pasqal_qubits/TwoDQubit",
      "accept": "text/html",
      "check": "the page states: API reference of cirq_pasqal.pasqal_qubits.TwoDQubit",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/cirq/Circuit",
      "accept": "text/html",
      "check": "the page states: API reference of cirq.Circuit; implemented here as Circuit (moments, append with an insert strategy, qubits in key order)",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/cirq/contrib/quirk/linearize_circuit/linearize_circuit_qubits",
      "accept": "text/html",
      "check": "the page states: API reference of cirq.contrib.quirk.linearize_circuit.linearize_circuit_qubits, not implemented here",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/cirq/decompose_once_with_qubits",
      "accept": "text/html",
      "check": "the page states: API reference of cirq.decompose_once_with_qubits, not implemented here",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/cirq/DensityMatrixSimulator",
      "accept": "text/html",
      "check": "the page states: API reference of cirq.DensityMatrixSimulator; implemented here as DensityMatrixSimulator (exact channels, up to 8 qubits)",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/cirq/GateOperation",
      "accept": "text/html",
      "check": "the page states: API reference of cirq.GateOperation; implemented here as applied (gate.on(*qubits))",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/cirq/map_clean_and_borrowable_qubits",
      "accept": "text/html",
      "check": "the page states: API reference of cirq.map_clean_and_borrowable_qubits, not implemented here",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/cirq/Moment",
      "accept": "text/html",
      "check": "the page states: API reference of cirq.Moment; implemented here as Moment (operations on disjoint qubits)",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/cirq/num_qubits",
      "accept": "text/html",
      "check": "the page states: API reference of cirq.num_qubits, not implemented here",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/cirq/Qid",
      "accept": "text/html",
      "check": "the page states: API reference of cirq.Qid; implemented here as keyOf (the qubit key that orders and compares qubits)",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/cirq/Simulator",
      "accept": "text/html",
      "check": "the page states: API reference of cirq.Simulator; implemented here as Simulator (simulate (the state vector) and run (sampled bitstrings), up to 20 qubits)",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=20",
      "accept": "application/json",
      "check": "the integer 20 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/20",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/cirq/slice_for_qubits_equal_to",
      "accept": "text/html",
      "check": "the page states: API reference of cirq.slice_for_qubits_equal_to, not implemented here",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/openfermion/transforms/opconversions/remove_symmetry_qubits",
      "accept": "text/html",
      "check": "the page states: API reference of openfermion.transforms.opconversions.remove_symmetry_qubits, not implemented here",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/openfermion/transforms/opconversions/remove_symmetry_qubits/remove_indices",
      "accept": "text/html",
      "check": "the page states: API reference of openfermion.transforms.opconversions.remove_symmetry_qubits.remove_indices, not implemented here",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/openfermion/transforms/taper_off_qubits",
      "accept": "text/html",
      "check": "the page states: API reference of openfermion.transforms.taper_off_qubits, not implemented here",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/openfermion/utils/count_qubits",
      "accept": "text/html",
      "check": "the page states: API reference of openfermion.utils.count_qubits, not implemented here",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/cirq/experiments/qaoa/qaoa_maxcut",
      "accept": "text/html",
      "check": "the page states: QAOA max-cut at p = 1 on Sycamore: the first twelve sorted qubits, their couplers in networkx order, numpy's seed-11 weights (reproduced exactly), the 5 by 5 sweep, and the estimate_cost objective sampled at 20,000 shots",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=11",
      "accept": "application/json",
      "check": "the integer 11 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/11",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=20",
      "accept": "application/json",
      "check": "the integer 20 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/20",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=000",
      "accept": "application/json",
      "check": "the integer 000 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/000",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/resources",
      "accept": "text/html",
      "check": "the page states: Interactive learning: the Qubit Game, building a quantum computer one qubit at a time, from keeping qubits cool to blocking cosmic rays",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/cirq/google/devices",
      "accept": "text/html",
      "check": "the page states: Sycamore: 54 qubits and 88 couplers, its printed layout, its two-qubit gates",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=54",
      "accept": "application/json",
      "check": "the integer 54 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/54",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=88",
      "accept": "application/json",
      "check": "the integer 88 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/88",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/cirq/experiments/textbook_algorithms",
      "accept": "text/html",
      "check": "the page states: Teleportation, QFT and its inverse, phase estimation, Grover on two qubits",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/quantumcomputer",
      "accept": "text/html",
      "check": "the page states: Tunable qubits and couplers: dynamic performance adjustment and optimization for faster gates and operations",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/hardware/datasheet/weber",
      "accept": "text/html",
      "check": "the page states: The Weber processor datasheet (May 14, 2021): 53 qubits, gate durations, typical errors and T1",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=14",
      "accept": "application/json",
      "check": "the integer 14 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/14",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=2021",
      "accept": "application/json",
      "check": "the integer 2021 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/2021",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=53",
      "accept": "application/json",
      "check": "the integer 53 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/53",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    }
  ],
  "reflection": {
    "factors": [],
    "angles": [],
    "queries": [
      "many qubit willow",
      "many willow qubit",
      "many willow processor"
    ],
    "found": [],
    "leads": []
  },
  "lead": {
    "id": "many-qubits-willow",
    "source": "statement",
    "statement": "How many qubits does Willow have?",
    "status": "served",
    "tool": "processor"
  }
}

match · match-glagolitic

A Glagolitic numeral read as the integer 15 before the match: served by the algorithm tool, factored 3 × 5 in the reflection.

{"name":"match","arguments":{"statement":"Factor Ⰺⰴ with Shor"}}

✓ as expected

match · Any statement, matched against everything the surface can do. served: a call answers it and is returned. impossible: the surface proves it cannot, from a schema bound the statement exceeds, a lead whose reason says why, or the handler's own refusal; the cluster then names the served possibilities around it and verify names the live sources the client's MCP can check. unknown: nothing matches, and the statement comes back as a new lead to develop.

Statement

Factor 15 with Shor

Verdict

served

Tool

algorithm

Lead

factor-15-shor (served)

Evidence
pattern shor: an integer factored by Shor within the bound; algorithm answered
example algorithm-shor-15: as documented

Served possibility	Kind	Score	Text
algorithm-shor-15	example	1.1003313971616047	Shor's circuit on the state-vector simulator: order 4 and factors 3 × 5 for N = 15, a = 7.
clay-relation-15	example	0.7608777310948791	One relation: magicBlock = glProd hexbit seed = qftDepth vertices = 15.
algorithm	tool	0.3394536660667255	The textbook algorithms of the Cirq page: qft and inverse_qft (on 1 to 6 qubits, from input x), phase_estimation (of θ with 1 to 8 bits), grover (two qubits, marked |00>), teleportation (the message state, sent and received), qaoa (depth 1 on the first 2 to 12 sorted qubits of the Sycamore device, the page's instance, with the expected cut), and shor (order finding for N from 3 to 21, the state-vector bound). Each returns its summary and a table.
fault-tolerant-design	tool	0.3394536660667255	Resource counts read from the circuits this repository builds: the QFT on n qubits, Grover, teleportation, Shor for N up to 21, the QAOA instance and the repetition-code cycle. For each: gates by name, two-qubit gates, depth in moments, and the T-count of the gates whose Clifford+T cost is stated (Toffoli 7, T 1, controlled-S 3; Cliffordness computed from each unitary). Rotations and undecomposed gates are listed and left uncounted, and the count says whether it is complete. Qualtran is the cited library for the general case.
perspective-factorer	lead	0.3394536660667255	served by algorithm
shor	lead	0.3394536660667255	served by algorithm
clay-relation_15	lead	0.26087773109487916	served by clay
clay-relation_16384	lead	0.26087773109487916	served by clay
clay-relation_20475	lead	0.26087773109487916	served by clay
early-access	lead	0.26087773109487916	served by statements
echoes-blog	lead	0.26087773109487916	served by echo_benchmark
legal-audit-sealed	lead	0.26087773109487916	served by legal: measured on 2026-10-25, three runs: 41 claims, 95 calls through 15 free doors; every answered claim UNVERIFIED at the unit (no decidable test for prose) and clean; no drift between the unit's rights and this tree's licence; licence computed non-commercial and free; due process sealed with 41 gaps (the unverified claims); audit_cloudflare clean; six security doors and the four claims that cite a sealed guarantee refused at the edge (the ledger does not fit the isolate; a cited claim answers HTTP 500 over raw HTTP, as sign_commit does); the first run's 43 violations were the call shape (claims without their addresses), the second's 5 were wording (a receipt presented where a theorem is expected, a label read as a citation, UUIDs presented as sealed), both corrected at the source; the audit is sealed by its content address and recomputes to itself

Verify live via	URL	Check
source-page	https://quantumai.google/reference/python/cirq/kron_factor_4x4_to_2x2s	the page states: API reference of cirq.kron_factor_4x4_to_2x2s, not implemented here
source-page	https://uuidna.com/mcp	the page states: Prime factors hide beyond the reflection, and the sequence reflected in double-torus combinations of trinities explains all at the Lean binary level: the factoring the simulator cannot reach within its bound would be read from the σ-reflection of periods arranged on the double torus of the triad.
oeis	https://oeis.org/search?fmt=json&q=204	the integer 204 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/204	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=205	the integer 205 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/205	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=256	the integer 256 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/256	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=256	the integer 256 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/256	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=128	the integer 128 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/128	the summary agrees with the lead's statement
source-page	https://quantumai.google/cirq/experiments/textbook_algorithms	the page states: Shor's order finding, the later use of phase estimation the page names
oeis	https://oeis.org/search?fmt=json&q=15	the integer 15 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/15	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=16384	the integer 16384 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/16384	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=15	the integer 15 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/15	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=20475	the integer 20475 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/20475	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=15	the integer 15 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/15	the summary agrees with the lead's statement
source-page	https://quantumai.google/willowearlyaccess	the page states: Willow Early Access Program, deadline May 15, 2026
oeis	https://oeis.org/search?fmt=json&q=15	the integer 15 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/15	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=2026	the integer 2026 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/2026	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=105	the integer 105 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/105	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=13	the integer 13 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/13	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=15	the integer 15 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/15	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=28	the integer 28 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/28	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=256	the integer 256 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/256	the summary agrees with the lead's statement
source-page	https://quantumai.google/cirq/build/custom_gates	the page states: the page cirq/build/custom_gates
source-page	https://quantumai.google/reference/python/cirq/slice_for_qubits_equal_to	the page states: API reference of cirq.slice_for_qubits_equal_to, not implemented here
source-page	https://quantumai.google/reference/python/cirq/symbolize_single_qubit_gates_by_indexed_tags	the page states: API reference of cirq.symbolize_single_qubit_gates_by_indexed_tags, not implemented here
source-page	https://quantumai.google/reference/python/fqe/sso_hamiltonian/SSOHamiltonian	the page states: API reference of fqe.sso_hamiltonian.SSOHamiltonian, not implemented here
source-page	https://quantumai.google/reference/python/openfermion/circuits/vpe_circuits_single_timestep	the page states: API reference of openfermion.circuits.vpe_circuits_single_timestep, not implemented here
source-page	https://quantumai.google/reference/python/openfermion/hamiltonians/dual_basis_potential	the page states: API reference of openfermion.hamiltonians.dual_basis_potential, not implemented here
source-page	https://quantumai.google/reference/python/openfermion/hamiltonians/majorana_operator	the page states: API reference of openfermion.hamiltonians.majorana_operator, not implemented here
source-page	https://quantumai.google/reference/python/openfermion/hamiltonians/s_minus_operator	the page states: API reference of openfermion.hamiltonians.s_minus_operator, not implemented here
oeis	https://oeis.org/search?fmt=json&q=15	the integer 15 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/15	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=15	the integer 15 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/15	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=9985	the integer 9985 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/9985	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=009425	the integer 009425 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/009425	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=15	the integer 15 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/15	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=487990	the integer 487990 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/487990	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=15	the integer 15 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/15	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=9985	the integer 9985 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/9985	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=009425	the integer 009425 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/009425	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=15	the integer 15 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/15	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=487990	the integer 487990 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/487990	the summary agrees with the lead's statement

Reflection: n	Hidden factors	By
15	3 × 5	the algorithm tool's Shor circuit on the state-vector simulator

Reflection: x	Bound	σ_d(x)	QFT angle
15	repetitions ≤ 10000	9985	0.0094
15	N ≤ 21	6	4.4880
15	repetitions ≤ 10000	9985	0.0094
15	N ≤ 21	6	4.4880

Mirror query
15 shor shor
15 shor order
15 shor period
15 shor semiprime
factor shor

Lead to develop	Statement
factors-15	15 = 3 × 5 (order 4) by the algorithm tool's Shor circuit on the state-vector simulator
angle-repetitions-15	σ_10000(15) = 9985 on repetitions; QFT angle 0.009425 rad
angle-N-15	σ_21(15) = 6 on N; QFT angle 4.487990 rad
angle-repetitions-15	σ_10000(15) = 9985 on repetitions; QFT angle 0.009425 rad
angle-N-15	σ_21(15) = 6 on N; QFT angle 4.487990 rad

Kind	Candidate	Score	Text
example	algorithm-shor-15	1.1003313971616047	Shor's circuit on the state-vector simulator: order 4 and factors 3 × 5 for N = 15, a = 7.
lead	page:reference/python/cirq/kron_factor_4x4_to_2x2s	1	open: in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet
example	clay-relation-15	0.7608777310948791	One relation: magicBlock = glProd hexbit seed = qftDepth vertices = 15.
tool	algorithm	0.3394536660667255	The textbook algorithms of the Cirq page: qft and inverse_qft (on 1 to 6 qubits, from input x), phase_estimation (of θ with 1 to 8 bits), grover (two qubits, marked |00>), teleportation (the message state, sent and received), qaoa (depth 1 on the first 2 to 12 sorted qubits of the Sycamore device, the page's instance, with the expected cut), and shor (order finding for N from 3 to 21, the state-vector bound). Each returns its summary and a table.
lead	double-torus-trinities	0.3394536660667255	open: recorded on 2026-10-25 as the author's idea, not a claim: measured today, the reflection factors only N ≤ 21 and says so for 91, 1001 and 2^32 + 1; the unit's triad door answers [3, 6, 9] and its double-torus door takes addresses (the tree's addresses are the next input); the kernel-accepted theorems shor, all_shor, shor_sigma and sigma_reflect relate a period, the coins and the σ-involution and are the binary level to build from; nothing beyond them is stated until the kernel accepts it
tool	fault-tolerant-design	0.3394536660667255	Resource counts read from the circuits this repository builds: the QFT on n qubits, Grover, teleportation, Shor for N up to 21, the QAOA instance and the repetition-code cycle. For each: gates by name, two-qubit gates, depth in moments, and the T-count of the gates whose Clifford+T cost is stated (Toffoli 7, T 1, controlled-S 3; Cliffordness computed from each unitary). Rotations and undecomposed gates are listed and left uncounted, and the count says whether it is complete. Qualtran is the cited library for the general case.
lead	perspective-factorer	0.3394536660667255	served by algorithm
lead	pqc-signature-over-folds	0.3394536660667255	open: a pure ML-DSA or SLH-DSA in this tree (no Node, no host) is a port of its own; until then the unit's sign_commit signs by citation and this tree seals by hash
lead	shor	0.3394536660667255	served by algorithm
lead	aspects-by-theorems	0.26087773109487916	open: one example names its theorem today (clay-relation-15 → relation_15) and the audit counts them; the invariants of the toolboxes are measured by their selftests; stating them in Lean over the ported definitions (hmac, entries, roles) is the lead; a theorem replaces its check the day the kernel accepts it
lead	clay-relation_15	0.26087773109487916	served by clay
lead	clay-relation_16384	0.26087773109487916	served by clay
lead	clay-relation_20475	0.26087773109487916	served by clay
lead	early-access	0.26087773109487916	served by statements
lead	echoes-blog	0.26087773109487916	served by echo_benchmark
lead	legal-audit-sealed	0.26087773109487916	served by legal: measured on 2026-10-25, three runs: 41 claims, 95 calls through 15 free doors; every answered claim UNVERIFIED at the unit (no decidable test for prose) and clean; no drift between the unit's rights and this tree's licence; licence computed non-commercial and free; due process sealed with 41 gaps (the unverified claims); audit_cloudflare clean; six security doors and the four claims that cite a sealed guarantee refused at the edge (the ledger does not fit the isolate; a cited claim answers HTTP 500 over raw HTTP, as sign_commit does); the first run's 43 violations were the call shape (claims without their addresses), the second's 5 were wording (a receipt presented where a theorem is expected, a label read as a citation, UUIDs presented as sealed), both corrected at the source; the audit is sealed by its content address and recomputes to itself
lead	page:cirq/build/custom_gates	0.26087773109487916	open: in the sitemap (lastmod 2026-08-15); fetchable; no tool follows this page yet
lead	page:reference/python/cirq/slice_for_qubits_equal_to	0.26087773109487916	open: in the sitemap (lastmod 2026-08-15); fetchable; no tool follows this page yet
lead	page:reference/python/cirq/symbolize_single_qubit_gates_by_indexed_tags	0.26087773109487916	open: in the sitemap (lastmod 2026-08-15); fetchable; no tool follows this page yet
lead	page:reference/python/fqe/sso_hamiltonian/SSOHamiltonian	0.26087773109487916	open: in the sitemap (lastmod 2026-02-15); fetchable; no tool follows this page yet
lead	page:reference/python/openfermion/circuits/vpe_circuits_single_timestep	0.26087773109487916	open: in the sitemap (lastmod 2026-08-15); fetchable; no tool follows this page yet
lead	page:reference/python/openfermion/hamiltonians/dual_basis_potential	0.26087773109487916	open: in the sitemap (lastmod 2026-08-15); fetchable; no tool follows this page yet
lead	page:reference/python/openfermion/hamiltonians/majorana_operator	0.26087773109487916	open: in the sitemap (lastmod 2026-08-15); fetchable; no tool follows this page yet
lead	page:reference/python/openfermion/hamiltonians/s_minus_operator	0.26087773109487916	open: in the sitemap (lastmod 2026-08-15); fetchable; no tool follows this page yet

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "statement": "Factor 15 with Shor",
  "verdict": "served",
  "evidence": [
    "pattern shor: an integer factored by Shor within the bound; algorithm answered",
    "example algorithm-shor-15: as documented"
  ],
  "tool": "algorithm",
  "call": {
    "name": "algorithm",
    "arguments": {
      "name": "shor",
      "N": 15
    }
  },
  "result": {
    "name": "shor",
    "summary": [
      [
        "N",
        "15"
      ],
      [
        "a",
        "7"
      ],
      [
        "Order of a mod N",
        "4"
      ],
      [
        "Factors",
        "3 × 5"
      ],
      [
        "Prime dust",
        "3 × 5 (verified: product = 15)"
      ]
    ],
    "header": [
      "Measured phase",
      "Count",
      "Share"
    ],
    "rows": [
      [
        "0.000000",
        "8",
        "40.0%"
      ],
      [
        "0.750000",
        "8",
        "40.0%"
      ],
      [
        "0.250000",
        "3",
        "15.0%"
      ],
      [
        "0.500000",
        "1",
        "5.0%"
      ]
    ]
  },
  "candidates": [
    {
      "kind": "example",
      "id": "algorithm-shor-15",
      "score": 1.1003313971616047,
      "hits": 3,
      "text": "Shor's circuit on the state-vector simulator: order 4 and factors 3 × 5 for N = 15, a = 7."
    },
    {
      "kind": "lead",
      "id": "page:reference/python/cirq/kron_factor_4x4_to_2x2s",
      "score": 1,
      "hits": 1,
      "text": "open: in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "kind": "example",
      "id": "clay-relation-15",
      "score": 0.7608777310948791,
      "hits": 2,
      "text": "One relation: magicBlock = glProd hexbit seed = qftDepth vertices = 15."
    },
    {
      "kind": "tool",
      "id": "algorithm",
      "score": 0.3394536660667255,
      "hits": 1,
      "text": "The textbook algorithms of the Cirq page: qft and inverse_qft (on 1 to 6 qubits, from input x), phase_estimation (of θ with 1 to 8 bits), grover (two qubits, marked |00>), teleportation (the message state, sent and received), qaoa (depth 1 on the first 2 to 12 sorted qubits of the Sycamore device, the page's instance, with the expected cut), and shor (order finding for N from 3 to 21, the state-vector bound). Each returns its summary and a table."
    },
    {
      "kind": "lead",
      "id": "double-torus-trinities",
      "score": 0.3394536660667255,
      "hits": 1,
      "text": "open: recorded on 2026-10-25 as the author's idea, not a claim: measured today, the reflection factors only N ≤ 21 and says so for 91, 1001 and 2^32 + 1; the unit's triad door answers [3, 6, 9] and its double-torus door takes addresses (the tree's addresses are the next input); the kernel-accepted theorems shor, all_shor, shor_sigma and sigma_reflect relate a period, the coins and the σ-involution and are the binary level to build from; nothing beyond them is stated until the kernel accepts it"
    },
    {
      "kind": "tool",
      "id": "fault-tolerant-design",
      "score": 0.3394536660667255,
      "hits": 1,
      "text": "Resource counts read from the circuits this repository builds: the QFT on n qubits, Grover, teleportation, Shor for N up to 21, the QAOA instance and the repetition-code cycle. For each: gates by name, two-qubit gates, depth in moments, and the T-count of the gates whose Clifford+T cost is stated (Toffoli 7, T 1, controlled-S 3; Cliffordness computed from each unitary). Rotations and undecomposed gates are listed and left uncounted, and the count says whether it is complete. Qualtran is the cited library for the general case."
    },
    {
      "kind": "lead",
      "id": "perspective-factorer",
      "score": 0.3394536660667255,
      "hits": 1,
      "text": "served by algorithm"
    },
    {
      "kind": "lead",
      "id": "pqc-signature-over-folds",
      "score": 0.3394536660667255,
      "hits": 1,
      "text": "open: a pure ML-DSA or SLH-DSA in this tree (no Node, no host) is a port of its own; until then the unit's sign_commit signs by citation and this tree seals by hash"
    },
    {
      "kind": "lead",
      "id": "shor",
      "score": 0.3394536660667255,
      "hits": 1,
      "text": "served by algorithm"
    },
    {
      "kind": "lead",
      "id": "aspects-by-theorems",
      "score": 0.26087773109487916,
      "hits": 1,
      "text": "open: one example names its theorem today (clay-relation-15 → relation_15) and the audit counts them; the invariants of the toolboxes are measured by their selftests; stating them in Lean over the ported definitions (hmac, entries, roles) is the lead; a theorem replaces its check the day the kernel accepts it"
    },
    {
      "kind": "lead",
      "id": "clay-relation_15",
      "score": 0.26087773109487916,
      "hits": 1,
      "text": "served by clay"
    },
    {
      "kind": "lead",
      "id": "clay-relation_16384",
      "score": 0.26087773109487916,
      "hits": 1,
      "text": "served by clay"
    },
    {
      "kind": "lead",
      "id": "clay-relation_20475",
      "score": 0.26087773109487916,
      "hits": 1,
      "text": "served by clay"
    },
    {
      "kind": "lead",
      "id": "early-access",
      "score": 0.26087773109487916,
      "hits": 1,
      "text": "served by statements"
    },
    {
      "kind": "lead",
      "id": "echoes-blog",
      "score": 0.26087773109487916,
      "hits": 1,
      "text": "served by echo_benchmark"
    },
    {
      "kind": "lead",
      "id": "legal-audit-sealed",
      "score": 0.26087773109487916,
      "hits": 1,
      "text": "served by legal: measured on 2026-10-25, three runs: 41 claims, 95 calls through 15 free doors; every answered claim UNVERIFIED at the unit (no decidable test for prose) and clean; no drift between the unit's rights and this tree's licence; licence computed non-commercial and free; due process sealed with 41 gaps (the unverified claims); audit_cloudflare clean; six security doors and the four claims that cite a sealed guarantee refused at the edge (the ledger does not fit the isolate; a cited claim answers HTTP 500 over raw HTTP, as sign_commit does); the first run's 43 violations were the call shape (claims without their addresses), the second's 5 were wording (a receipt presented where a theorem is expected, a label read as a citation, UUIDs presented as sealed), both corrected at the source; the audit is sealed by its content address and recomputes to itself"
    },
    {
      "kind": "lead",
      "id": "page:cirq/build/custom_gates",
      "score": 0.26087773109487916,
      "hits": 1,
      "text": "open: in the sitemap (lastmod 2026-08-15); fetchable; no tool follows this page yet"
    },
    {
      "kind": "lead",
      "id": "page:reference/python/cirq/slice_for_qubits_equal_to",
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      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/15",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=487990",
      "accept": "application/json",
      "check": "the integer 487990 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/487990",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=15",
      "accept": "application/json",
      "check": "the integer 15 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/15",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=9985",
      "accept": "application/json",
      "check": "the integer 9985 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/9985",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=009425",
      "accept": "application/json",
      "check": "the integer 009425 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/009425",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=15",
      "accept": "application/json",
      "check": "the integer 15 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/15",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=487990",
      "accept": "application/json",
      "check": "the integer 487990 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/487990",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    }
  ],
  "reflection": {
    "factors": [
      {
        "n": 15,
        "factors": "3 × 5",
        "order": "4",
        "by": "the algorithm tool's Shor circuit on the state-vector simulator"
      }
    ],
    "angles": [
      {
        "x": 15,
        "property": "repetitions",
        "d": 10000,
        "sigma": 9985,
        "angle": 0.00942477796076938
      },
      {
        "x": 15,
        "property": "N",
        "d": 21,
        "sigma": 6,
        "angle": 4.487989505128276
      },
      {
        "x": 15,
        "property": "repetitions",
        "d": 10000,
        "sigma": 9985,
        "angle": 0.00942477796076938
      },
      {
        "x": 15,
        "property": "N",
        "d": 21,
        "sigma": 6,
        "angle": 4.487989505128276
      }
    ],
    "queries": [
      "15 shor shor",
      "15 shor order",
      "15 shor period",
      "15 shor semiprime",
      "factor shor"
    ],
    "found": [],
    "leads": [
      {
        "id": "factors-15",
        "source": "reflection of: Factor 15 with Shor",
        "statement": "15 = 3 × 5 (order 4) by the algorithm tool's Shor circuit on the state-vector simulator",
        "status": "open",
        "tool": "algorithm",
        "reason": "a hidden factor found in the reflection; verify it across the integer adaptors"
      },
      {
        "id": "angle-repetitions-15",
        "source": "reflection of: Factor 15 with Shor",
        "statement": "σ_10000(15) = 9985 on repetitions; QFT angle 0.009425 rad",
        "status": "open",
        "reason": "an angle in the reflection; Qpu.Sigma proves σ_d(σ_d(x)) = x"
      },
      {
        "id": "angle-N-15",
        "source": "reflection of: Factor 15 with Shor",
        "statement": "σ_21(15) = 6 on N; QFT angle 4.487990 rad",
        "status": "open",
        "reason": "an angle in the reflection; Qpu.Sigma proves σ_d(σ_d(x)) = x"
      },
      {
        "id": "angle-repetitions-15",
        "source": "reflection of: Factor 15 with Shor",
        "statement": "σ_10000(15) = 9985 on repetitions; QFT angle 0.009425 rad",
        "status": "open",
        "reason": "an angle in the reflection; Qpu.Sigma proves σ_d(σ_d(x)) = x"
      },
      {
        "id": "angle-N-15",
        "source": "reflection of: Factor 15 with Shor",
        "statement": "σ_21(15) = 6 on N; QFT angle 4.487990 rad",
        "status": "open",
        "reason": "an angle in the reflection; Qpu.Sigma proves σ_d(σ_d(x)) = x"
      }
    ]
  },
  "lead": {
    "id": "factor-15-shor",
    "source": "statement",
    "statement": "Factor 15 with Shor",
    "status": "served",
    "tool": "algorithm"
  },
  "pattern": "shor",
  "read": {
    "given": "Factor Ⰺⰴ with Shor",
    "numerals": [
      {
        "glyphs": "Ⰺⰴ",
        "value": 15
      }
    ],
    "untranslated": []
  }
}

match · match-bulgarian

A statement in Bulgarian with a Glagolitic numeral, translated by vocabulary offline, matched, and answered with its verdict in Bulgarian.

{"name":"match","arguments":{"statement":"Разложи Ⰺⰴ с Shor","locale":"bg"}}

✓ as expected

match · Any statement, matched against everything the surface can do. served: a call answers it and is returned. impossible: the surface proves it cannot, from a schema bound the statement exceeds, a lead whose reason says why, or the handler's own refusal; the cluster then names the served possibilities around it and verify names the live sources the client's MCP can check. unknown: nothing matches, and the statement comes back as a new lead to develop.

Statement

Factor 15 with Shor

Verdict

served

Tool

algorithm

Lead

factor-15-shor (served)

Evidence
pattern shor: an integer factored by Shor within the bound; algorithm answered
example algorithm-shor-15: as documented

Served possibility	Kind	Score	Text
algorithm-shor-15	example	1.1003313971616047	Shor's circuit on the state-vector simulator: order 4 and factors 3 × 5 for N = 15, a = 7.
clay-relation-15	example	0.7608777310948791	One relation: magicBlock = glProd hexbit seed = qftDepth vertices = 15.
algorithm	tool	0.3394536660667255	The textbook algorithms of the Cirq page: qft and inverse_qft (on 1 to 6 qubits, from input x), phase_estimation (of θ with 1 to 8 bits), grover (two qubits, marked |00>), teleportation (the message state, sent and received), qaoa (depth 1 on the first 2 to 12 sorted qubits of the Sycamore device, the page's instance, with the expected cut), and shor (order finding for N from 3 to 21, the state-vector bound). Each returns its summary and a table.
fault-tolerant-design	tool	0.3394536660667255	Resource counts read from the circuits this repository builds: the QFT on n qubits, Grover, teleportation, Shor for N up to 21, the QAOA instance and the repetition-code cycle. For each: gates by name, two-qubit gates, depth in moments, and the T-count of the gates whose Clifford+T cost is stated (Toffoli 7, T 1, controlled-S 3; Cliffordness computed from each unitary). Rotations and undecomposed gates are listed and left uncounted, and the count says whether it is complete. Qualtran is the cited library for the general case.
perspective-factorer	lead	0.3394536660667255	served by algorithm
shor	lead	0.3394536660667255	served by algorithm
clay-relation_15	lead	0.26087773109487916	served by clay
clay-relation_16384	lead	0.26087773109487916	served by clay
clay-relation_20475	lead	0.26087773109487916	served by clay
early-access	lead	0.26087773109487916	served by statements
echoes-blog	lead	0.26087773109487916	served by echo_benchmark
legal-audit-sealed	lead	0.26087773109487916	served by legal: measured on 2026-10-25, three runs: 41 claims, 95 calls through 15 free doors; every answered claim UNVERIFIED at the unit (no decidable test for prose) and clean; no drift between the unit's rights and this tree's licence; licence computed non-commercial and free; due process sealed with 41 gaps (the unverified claims); audit_cloudflare clean; six security doors and the four claims that cite a sealed guarantee refused at the edge (the ledger does not fit the isolate; a cited claim answers HTTP 500 over raw HTTP, as sign_commit does); the first run's 43 violations were the call shape (claims without their addresses), the second's 5 were wording (a receipt presented where a theorem is expected, a label read as a citation, UUIDs presented as sealed), both corrected at the source; the audit is sealed by its content address and recomputes to itself

Verify live via	URL	Check
source-page	https://quantumai.google/reference/python/cirq/kron_factor_4x4_to_2x2s	the page states: API reference of cirq.kron_factor_4x4_to_2x2s, not implemented here
source-page	https://uuidna.com/mcp	the page states: Prime factors hide beyond the reflection, and the sequence reflected in double-torus combinations of trinities explains all at the Lean binary level: the factoring the simulator cannot reach within its bound would be read from the σ-reflection of periods arranged on the double torus of the triad.
oeis	https://oeis.org/search?fmt=json&q=204	the integer 204 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/204	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=205	the integer 205 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/205	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=256	the integer 256 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/256	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=256	the integer 256 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/256	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=128	the integer 128 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/128	the summary agrees with the lead's statement
source-page	https://quantumai.google/cirq/experiments/textbook_algorithms	the page states: Shor's order finding, the later use of phase estimation the page names
oeis	https://oeis.org/search?fmt=json&q=15	the integer 15 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/15	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=16384	the integer 16384 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/16384	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=15	the integer 15 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/15	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=20475	the integer 20475 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/20475	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=15	the integer 15 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/15	the summary agrees with the lead's statement
source-page	https://quantumai.google/willowearlyaccess	the page states: Willow Early Access Program, deadline May 15, 2026
oeis	https://oeis.org/search?fmt=json&q=15	the integer 15 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/15	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=2026	the integer 2026 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/2026	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=105	the integer 105 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/105	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=13	the integer 13 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/13	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=15	the integer 15 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/15	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=28	the integer 28 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/28	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=256	the integer 256 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/256	the summary agrees with the lead's statement
source-page	https://quantumai.google/cirq/build/custom_gates	the page states: the page cirq/build/custom_gates
source-page	https://quantumai.google/reference/python/cirq/slice_for_qubits_equal_to	the page states: API reference of cirq.slice_for_qubits_equal_to, not implemented here
source-page	https://quantumai.google/reference/python/cirq/symbolize_single_qubit_gates_by_indexed_tags	the page states: API reference of cirq.symbolize_single_qubit_gates_by_indexed_tags, not implemented here
source-page	https://quantumai.google/reference/python/fqe/sso_hamiltonian/SSOHamiltonian	the page states: API reference of fqe.sso_hamiltonian.SSOHamiltonian, not implemented here
source-page	https://quantumai.google/reference/python/openfermion/circuits/vpe_circuits_single_timestep	the page states: API reference of openfermion.circuits.vpe_circuits_single_timestep, not implemented here
source-page	https://quantumai.google/reference/python/openfermion/hamiltonians/dual_basis_potential	the page states: API reference of openfermion.hamiltonians.dual_basis_potential, not implemented here
source-page	https://quantumai.google/reference/python/openfermion/hamiltonians/majorana_operator	the page states: API reference of openfermion.hamiltonians.majorana_operator, not implemented here
source-page	https://quantumai.google/reference/python/openfermion/hamiltonians/s_minus_operator	the page states: API reference of openfermion.hamiltonians.s_minus_operator, not implemented here
oeis	https://oeis.org/search?fmt=json&q=15	the integer 15 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/15	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=15	the integer 15 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/15	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=9985	the integer 9985 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/9985	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=009425	the integer 009425 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/009425	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=15	the integer 15 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/15	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=487990	the integer 487990 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/487990	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=15	the integer 15 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/15	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=9985	the integer 9985 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/9985	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=009425	the integer 009425 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/009425	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=15	the integer 15 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/15	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=487990	the integer 487990 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/487990	the summary agrees with the lead's statement

Reflection: n	Hidden factors	By
15	3 × 5	the algorithm tool's Shor circuit on the state-vector simulator

Reflection: x	Bound	σ_d(x)	QFT angle
15	repetitions ≤ 10000	9985	0.0094
15	N ≤ 21	6	4.4880
15	repetitions ≤ 10000	9985	0.0094
15	N ≤ 21	6	4.4880

Mirror query
15 shor shor
15 shor order
15 shor period
15 shor semiprime
factor shor

Lead to develop	Statement
factors-15	15 = 3 × 5 (order 4) by the algorithm tool's Shor circuit on the state-vector simulator
angle-repetitions-15	σ_10000(15) = 9985 on repetitions; QFT angle 0.009425 rad
angle-N-15	σ_21(15) = 6 on N; QFT angle 4.487990 rad
angle-repetitions-15	σ_10000(15) = 9985 on repetitions; QFT angle 0.009425 rad
angle-N-15	σ_21(15) = 6 on N; QFT angle 4.487990 rad

Kind	Candidate	Score	Text
example	algorithm-shor-15	1.1003313971616047	Shor's circuit on the state-vector simulator: order 4 and factors 3 × 5 for N = 15, a = 7.
lead	page:reference/python/cirq/kron_factor_4x4_to_2x2s	1	open: in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet
example	clay-relation-15	0.7608777310948791	One relation: magicBlock = glProd hexbit seed = qftDepth vertices = 15.
tool	algorithm	0.3394536660667255	The textbook algorithms of the Cirq page: qft and inverse_qft (on 1 to 6 qubits, from input x), phase_estimation (of θ with 1 to 8 bits), grover (two qubits, marked |00>), teleportation (the message state, sent and received), qaoa (depth 1 on the first 2 to 12 sorted qubits of the Sycamore device, the page's instance, with the expected cut), and shor (order finding for N from 3 to 21, the state-vector bound). Each returns its summary and a table.
lead	double-torus-trinities	0.3394536660667255	open: recorded on 2026-10-25 as the author's idea, not a claim: measured today, the reflection factors only N ≤ 21 and says so for 91, 1001 and 2^32 + 1; the unit's triad door answers [3, 6, 9] and its double-torus door takes addresses (the tree's addresses are the next input); the kernel-accepted theorems shor, all_shor, shor_sigma and sigma_reflect relate a period, the coins and the σ-involution and are the binary level to build from; nothing beyond them is stated until the kernel accepts it
tool	fault-tolerant-design	0.3394536660667255	Resource counts read from the circuits this repository builds: the QFT on n qubits, Grover, teleportation, Shor for N up to 21, the QAOA instance and the repetition-code cycle. For each: gates by name, two-qubit gates, depth in moments, and the T-count of the gates whose Clifford+T cost is stated (Toffoli 7, T 1, controlled-S 3; Cliffordness computed from each unitary). Rotations and undecomposed gates are listed and left uncounted, and the count says whether it is complete. Qualtran is the cited library for the general case.
lead	perspective-factorer	0.3394536660667255	served by algorithm
lead	pqc-signature-over-folds	0.3394536660667255	open: a pure ML-DSA or SLH-DSA in this tree (no Node, no host) is a port of its own; until then the unit's sign_commit signs by citation and this tree seals by hash
lead	shor	0.3394536660667255	served by algorithm
lead	aspects-by-theorems	0.26087773109487916	open: one example names its theorem today (clay-relation-15 → relation_15) and the audit counts them; the invariants of the toolboxes are measured by their selftests; stating them in Lean over the ported definitions (hmac, entries, roles) is the lead; a theorem replaces its check the day the kernel accepts it
lead	clay-relation_15	0.26087773109487916	served by clay
lead	clay-relation_16384	0.26087773109487916	served by clay
lead	clay-relation_20475	0.26087773109487916	served by clay
lead	early-access	0.26087773109487916	served by statements
lead	echoes-blog	0.26087773109487916	served by echo_benchmark
lead	legal-audit-sealed	0.26087773109487916	served by legal: measured on 2026-10-25, three runs: 41 claims, 95 calls through 15 free doors; every answered claim UNVERIFIED at the unit (no decidable test for prose) and clean; no drift between the unit's rights and this tree's licence; licence computed non-commercial and free; due process sealed with 41 gaps (the unverified claims); audit_cloudflare clean; six security doors and the four claims that cite a sealed guarantee refused at the edge (the ledger does not fit the isolate; a cited claim answers HTTP 500 over raw HTTP, as sign_commit does); the first run's 43 violations were the call shape (claims without their addresses), the second's 5 were wording (a receipt presented where a theorem is expected, a label read as a citation, UUIDs presented as sealed), both corrected at the source; the audit is sealed by its content address and recomputes to itself
lead	page:cirq/build/custom_gates	0.26087773109487916	open: in the sitemap (lastmod 2026-08-15); fetchable; no tool follows this page yet
lead	page:reference/python/cirq/slice_for_qubits_equal_to	0.26087773109487916	open: in the sitemap (lastmod 2026-08-15); fetchable; no tool follows this page yet
lead	page:reference/python/cirq/symbolize_single_qubit_gates_by_indexed_tags	0.26087773109487916	open: in the sitemap (lastmod 2026-08-15); fetchable; no tool follows this page yet
lead	page:reference/python/fqe/sso_hamiltonian/SSOHamiltonian	0.26087773109487916	open: in the sitemap (lastmod 2026-02-15); fetchable; no tool follows this page yet
lead	page:reference/python/openfermion/circuits/vpe_circuits_single_timestep	0.26087773109487916	open: in the sitemap (lastmod 2026-08-15); fetchable; no tool follows this page yet
lead	page:reference/python/openfermion/hamiltonians/dual_basis_potential	0.26087773109487916	open: in the sitemap (lastmod 2026-08-15); fetchable; no tool follows this page yet
lead	page:reference/python/openfermion/hamiltonians/majorana_operator	0.26087773109487916	open: in the sitemap (lastmod 2026-08-15); fetchable; no tool follows this page yet
lead	page:reference/python/openfermion/hamiltonians/s_minus_operator	0.26087773109487916	open: in the sitemap (lastmod 2026-08-15); fetchable; no tool follows this page yet

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "statement": "Factor 15 with Shor",
  "verdict": "served",
  "evidence": [
    "pattern shor: an integer factored by Shor within the bound; algorithm answered",
    "example algorithm-shor-15: as documented"
  ],
  "tool": "algorithm",
  "call": {
    "name": "algorithm",
    "arguments": {
      "name": "shor",
      "N": 15
    }
  },
  "result": {
    "name": "shor",
    "summary": [
      [
        "N",
        "15"
      ],
      [
        "a",
        "7"
      ],
      [
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    {
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    {
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    {
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    {
      "verifier": "wikipedia",
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      "accept": "application/json",
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    {
      "verifier": "oeis",
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      "url": "https://oeis.org/search?fmt=json&q=15",
      "accept": "application/json",
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    {
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    {
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      "accept": "application/json",
      "check": "the integer 20475 appears in at least one sequence",
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    {
      "verifier": "wikipedia",
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      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/20475",
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      "url": "https://oeis.org/search?fmt=json&q=15",
      "accept": "application/json",
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    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/15",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
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    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/willowearlyaccess",
      "accept": "text/html",
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      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=15",
      "accept": "application/json",
      "check": "the integer 15 appears in at least one sequence",
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    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/15",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
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    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=2026",
      "accept": "application/json",
      "check": "the integer 2026 appears in at least one sequence",
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    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/2026",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
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    {
      "verifier": "oeis",
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      "url": "https://oeis.org/search?fmt=json&q=105",
      "accept": "application/json",
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    {
      "verifier": "wikipedia",
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      "accept": "application/json",
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    {
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    {
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      "accept": "application/json",
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      "accept": "application/json",
      "check": "the integer 256 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/256",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/cirq/build/custom_gates",
      "accept": "text/html",
      "check": "the page states: the page cirq/build/custom_gates",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/cirq/slice_for_qubits_equal_to",
      "accept": "text/html",
      "check": "the page states: API reference of cirq.slice_for_qubits_equal_to, not implemented here",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/cirq/symbolize_single_qubit_gates_by_indexed_tags",
      "accept": "text/html",
      "check": "the page states: API reference of cirq.symbolize_single_qubit_gates_by_indexed_tags, not implemented here",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/fqe/sso_hamiltonian/SSOHamiltonian",
      "accept": "text/html",
      "check": "the page states: API reference of fqe.sso_hamiltonian.SSOHamiltonian, not implemented here",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/openfermion/circuits/vpe_circuits_single_timestep",
      "accept": "text/html",
      "check": "the page states: API reference of openfermion.circuits.vpe_circuits_single_timestep, not implemented here",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/openfermion/hamiltonians/dual_basis_potential",
      "accept": "text/html",
      "check": "the page states: API reference of openfermion.hamiltonians.dual_basis_potential, not implemented here",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/openfermion/hamiltonians/majorana_operator",
      "accept": "text/html",
      "check": "the page states: API reference of openfermion.hamiltonians.majorana_operator, not implemented here",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/openfermion/hamiltonians/s_minus_operator",
      "accept": "text/html",
      "check": "the page states: API reference of openfermion.hamiltonians.s_minus_operator, not implemented here",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=15",
      "accept": "application/json",
      "check": "the integer 15 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/15",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=15",
      "accept": "application/json",
      "check": "the integer 15 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/15",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=9985",
      "accept": "application/json",
      "check": "the integer 9985 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/9985",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=009425",
      "accept": "application/json",
      "check": "the integer 009425 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/009425",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=15",
      "accept": "application/json",
      "check": "the integer 15 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/15",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=487990",
      "accept": "application/json",
      "check": "the integer 487990 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/487990",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=15",
      "accept": "application/json",
      "check": "the integer 15 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/15",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=9985",
      "accept": "application/json",
      "check": "the integer 9985 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/9985",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=009425",
      "accept": "application/json",
      "check": "the integer 009425 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/009425",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=15",
      "accept": "application/json",
      "check": "the integer 15 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/15",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=487990",
      "accept": "application/json",
      "check": "the integer 487990 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/487990",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    }
  ],
  "reflection": {
    "factors": [
      {
        "n": 15,
        "factors": "3 × 5",
        "order": "4",
        "by": "the algorithm tool's Shor circuit on the state-vector simulator"
      }
    ],
    "angles": [
      {
        "x": 15,
        "property": "repetitions",
        "d": 10000,
        "sigma": 9985,
        "angle": 0.00942477796076938
      },
      {
        "x": 15,
        "property": "N",
        "d": 21,
        "sigma": 6,
        "angle": 4.487989505128276
      },
      {
        "x": 15,
        "property": "repetitions",
        "d": 10000,
        "sigma": 9985,
        "angle": 0.00942477796076938
      },
      {
        "x": 15,
        "property": "N",
        "d": 21,
        "sigma": 6,
        "angle": 4.487989505128276
      }
    ],
    "queries": [
      "15 shor shor",
      "15 shor order",
      "15 shor period",
      "15 shor semiprime",
      "factor shor"
    ],
    "found": [],
    "leads": [
      {
        "id": "factors-15",
        "source": "reflection of: Factor 15 with Shor",
        "statement": "15 = 3 × 5 (order 4) by the algorithm tool's Shor circuit on the state-vector simulator",
        "status": "open",
        "tool": "algorithm",
        "reason": "a hidden factor found in the reflection; verify it across the integer adaptors"
      },
      {
        "id": "angle-repetitions-15",
        "source": "reflection of: Factor 15 with Shor",
        "statement": "σ_10000(15) = 9985 on repetitions; QFT angle 0.009425 rad",
        "status": "open",
        "reason": "an angle in the reflection; Qpu.Sigma proves σ_d(σ_d(x)) = x"
      },
      {
        "id": "angle-N-15",
        "source": "reflection of: Factor 15 with Shor",
        "statement": "σ_21(15) = 6 on N; QFT angle 4.487990 rad",
        "status": "open",
        "reason": "an angle in the reflection; Qpu.Sigma proves σ_d(σ_d(x)) = x"
      },
      {
        "id": "angle-repetitions-15",
        "source": "reflection of: Factor 15 with Shor",
        "statement": "σ_10000(15) = 9985 on repetitions; QFT angle 0.009425 rad",
        "status": "open",
        "reason": "an angle in the reflection; Qpu.Sigma proves σ_d(σ_d(x)) = x"
      },
      {
        "id": "angle-N-15",
        "source": "reflection of: Factor 15 with Shor",
        "statement": "σ_21(15) = 6 on N; QFT angle 4.487990 rad",
        "status": "open",
        "reason": "an angle in the reflection; Qpu.Sigma proves σ_d(σ_d(x)) = x"
      }
    ]
  },
  "lead": {
    "id": "factor-15-shor",
    "source": "statement",
    "statement": "Factor 15 with Shor",
    "status": "served",
    "tool": "algorithm"
  },
  "pattern": "shor",
  "read": {
    "given": "Разложи Ⰺⰴ с Shor",
    "numerals": [
      {
        "glyphs": "Ⰺⰴ",
        "value": 15
      }
    ],
    "locale": "bg",
    "untranslated": [
      "shor"
    ],
    "verdictIn": "обслужена"
  }
}

match · match-theorem-first

Solved first by the QPU textbook: the statement names a kernel-accepted theorem, so it is served by that theorem, proven, before any tool is called.

{"name":"match","arguments":{"statement":"mersenne 127"}}

✓ as expected

match · Any statement, matched against everything the surface can do. served: a call answers it and is returned. impossible: the surface proves it cannot, from a schema bound the statement exceeds, a lead whose reason says why, or the handler's own refusal; the cluster then names the served possibilities around it and verify names the live sources the client's MCP can check. unknown: nothing matches, and the statement comes back as a new lead to develop.

Statement

mersenne 127

Verdict

served

Tool

—

Lead

mersenne-127 (served)

Evidence
proven by the kernel: theorem mersenne_127: mintOf rays - seed = 127
next steps in the textbook: 12 theorem(s) of Qpu.Primes

Served possibility	Kind	Score	Text
mersenne_3	theorem	1	mintOf coins - seed = 3
mersenne_31	theorem	1	bits - seed = 31
mersenne_7	theorem	1	mintOf n - seed = 7
primes_all	theorem	1	coins = 2 ∧ n = 3 ∧ mintOf coins - seed = 3 ∧ mintOf n - seed = 7 ∧ bits - seed = 31 ∧ mintOf rays - seed = 127 ∧ rays * (faces - seed) = 91 ∧ rays * (faces - seed) = chooseOf faces coins ∧ faces - n = 11 ∧ faces - seed = 13 ∧ faces - seed - (faces - n) = coins ∧ coins * n * (n + coins) * rays = 210
prime_three	theorem	0	n = 3
prime_two	theorem	0	coins = 2
primorial_210	theorem	0	coins * n * (n + coins) * rays = 210
shor_factored	theorem	0	rays * (faces - seed) = 91
shor_modulus_binomial	theorem	0	rays * (faces - seed) = chooseOf faces coins
twin_gap	theorem	0	faces - seed - (faces - n) = coins
twin_lower	theorem	0	faces - n = 11
twin_upper	theorem	0	faces - seed = 13

Verify live via	URL	Check

Reflection: n	Hidden factors	By

Reflection: x	Bound	σ_d(x)	QFT angle

Mirror query

Lead to develop	Statement

Kind	Candidate	Score	Text
theorem	mersenne_127	4	mintOf rays - seed = 127

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "statement": "mersenne 127",
  "verdict": "served",
  "theorem": "mersenne_127",
  "evidence": [
    "proven by the kernel: theorem mersenne_127: mintOf rays - seed = 127",
    "next steps in the textbook: 12 theorem(s) of Qpu.Primes"
  ],
  "candidates": [
    {
      "kind": "theorem",
      "id": "mersenne_127",
      "score": 4,
      "hits": 4,
      "text": "mintOf rays - seed = 127"
    }
  ],
  "cluster": [
    {
      "kind": "theorem",
      "id": "mersenne_3",
      "score": 1,
      "hits": 1,
      "text": "mintOf coins - seed = 3"
    },
    {
      "kind": "theorem",
      "id": "mersenne_31",
      "score": 1,
      "hits": 1,
      "text": "bits - seed = 31"
    },
    {
      "kind": "theorem",
      "id": "mersenne_7",
      "score": 1,
      "hits": 1,
      "text": "mintOf n - seed = 7"
    },
    {
      "kind": "theorem",
      "id": "primes_all",
      "score": 1,
      "hits": 1,
      "text": "coins = 2 ∧   n = 3 ∧     mintOf coins - seed = 3 ∧       mintOf n - seed = 7 ∧         bits - seed = 31 ∧           mintOf rays - seed = 127 ∧             rays * (faces - seed) = 91 ∧               rays * (faces - seed) = chooseOf faces coins ∧                 faces - n = 11 ∧                   faces - seed = 13 ∧ faces - seed - (faces - n) = coins ∧ coins * n * (n + coins) * rays = 210"
    },
    {
      "kind": "theorem",
      "id": "prime_three",
      "score": 0,
      "hits": 0,
      "text": "n = 3"
    },
    {
      "kind": "theorem",
      "id": "prime_two",
      "score": 0,
      "hits": 0,
      "text": "coins = 2"
    },
    {
      "kind": "theorem",
      "id": "primorial_210",
      "score": 0,
      "hits": 0,
      "text": "coins * n * (n + coins) * rays = 210"
    },
    {
      "kind": "theorem",
      "id": "shor_factored",
      "score": 0,
      "hits": 0,
      "text": "rays * (faces - seed) = 91"
    },
    {
      "kind": "theorem",
      "id": "shor_modulus_binomial",
      "score": 0,
      "hits": 0,
      "text": "rays * (faces - seed) = chooseOf faces coins"
    },
    {
      "kind": "theorem",
      "id": "twin_gap",
      "score": 0,
      "hits": 0,
      "text": "faces - seed - (faces - n) = coins"
    },
    {
      "kind": "theorem",
      "id": "twin_lower",
      "score": 0,
      "hits": 0,
      "text": "faces - n = 11"
    },
    {
      "kind": "theorem",
      "id": "twin_upper",
      "score": 0,
      "hits": 0,
      "text": "faces - seed = 13"
    }
  ],
  "verify": [],
  "reflection": {
    "factors": [],
    "angles": [],
    "queries": [],
    "leads": [],
    "found": []
  },
  "lead": {
    "id": "mersenne-127",
    "source": "statement",
    "statement": "mersenne 127",
    "status": "served",
    "tool": "clay",
    "reason": "theorem mersenne_127"
  }
}

match · match-pattern-uuid

Pattern recognition: a UUID in the statement opens the verify door before any token match; the match names the pattern and carries the verification.

{"name":"match","arguments":{"statement":"what is 941ef62e-d97b-2438-bfc8-22ae9e5da781"}}

✓ as expected

match · Any statement, matched against everything the surface can do. served: a call answers it and is returned. impossible: the surface proves it cannot, from a schema bound the statement exceeds, a lead whose reason says why, or the handler's own refusal; the cluster then names the served possibilities around it and verify names the live sources the client's MCP can check. unknown: nothing matches, and the statement comes back as a new lead to develop.

Statement

what is 941ef62e-d97b-2438-bfc8-22ae9e5da781

Verdict

served

Tool

verify

Lead

941ef62e-d97b-2438-bfc8-22ae9e5da781 (served)

Evidence
pattern uuid: a UUID: its seal, channel, vortex and reflection; verify answered
no tool, example or lead matches the statement, nor its reflections; proposed as a new lead to develop

Served possibility	Kind	Score	Text

Verify live via	URL	Check
oeis	https://oeis.org/search?fmt=json&q=2438	the integer 2438 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/2438	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=7562	the integer 7562 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/7562	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=531841	the integer 531841 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/531841	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=2438	the integer 2438 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/2438	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=7562	the integer 7562 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/7562	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=531841	the integer 531841 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/531841	the summary agrees with the lead's statement

Reflection: n	Hidden factors	By
2438	—	beyond the simulator's bound N ≤ 21: not factored here

Reflection: x	Bound	σ_d(x)	QFT angle
2438	repetitions ≤ 10000	7562	1.5318
2438	repetitions ≤ 10000	7562	1.5318

Mirror query
d97b bfc8

Lead to develop	Statement
angle-repetitions-2438	σ_10000(2438) = 7562 on repetitions; QFT angle 1.531841 rad
angle-repetitions-2438	σ_10000(2438) = 7562 on repetitions; QFT angle 1.531841 rad

Kind	Candidate	Score	Text

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "statement": "what is 941ef62e-d97b-2438-bfc8-22ae9e5da781",
  "verdict": "served",
  "evidence": [
    "pattern uuid: a UUID: its seal, channel, vortex and reflection; verify answered",
    "no tool, example or lead matches the statement, nor its reflections; proposed as a new lead to develop"
  ],
  "candidates": [],
  "cluster": [],
  "verify": [
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=2438",
      "accept": "application/json",
      "check": "the integer 2438 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/2438",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=7562",
      "accept": "application/json",
      "check": "the integer 7562 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/7562",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=531841",
      "accept": "application/json",
      "check": "the integer 531841 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/531841",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=2438",
      "accept": "application/json",
      "check": "the integer 2438 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/2438",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=7562",
      "accept": "application/json",
      "check": "the integer 7562 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/7562",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=531841",
      "accept": "application/json",
      "check": "the integer 531841 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/531841",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    }
  ],
  "reflection": {
    "factors": [
      {
        "n": 2438,
        "by": "beyond the simulator's bound N ≤ 21: not factored here"
      }
    ],
    "angles": [
      {
        "x": 2438,
        "property": "repetitions",
        "d": 10000,
        "sigma": 7562,
        "angle": 1.531840577890383
      },
      {
        "x": 2438,
        "property": "repetitions",
        "d": 10000,
        "sigma": 7562,
        "angle": 1.531840577890383
      }
    ],
    "queries": [
      "d97b bfc8"
    ],
    "found": [],
    "leads": [
      {
        "id": "angle-repetitions-2438",
        "source": "reflection of: what is 941ef62e-d97b-2438-bfc8-22ae9e5da781",
        "statement": "σ_10000(2438) = 7562 on repetitions; QFT angle 1.531841 rad",
        "status": "open",
        "reason": "an angle in the reflection; Qpu.Sigma proves σ_d(σ_d(x)) = x"
      },
      {
        "id": "angle-repetitions-2438",
        "source": "reflection of: what is 941ef62e-d97b-2438-bfc8-22ae9e5da781",
        "statement": "σ_10000(2438) = 7562 on repetitions; QFT angle 1.531841 rad",
        "status": "open",
        "reason": "an angle in the reflection; Qpu.Sigma proves σ_d(σ_d(x)) = x"
      }
    ]
  },
  "lead": {
    "id": "941ef62e-d97b-2438-bfc8-22ae9e5da781",
    "source": "statement",
    "statement": "what is 941ef62e-d97b-2438-bfc8-22ae9e5da781",
    "status": "served",
    "reason": "no tool, example or lead matches the statement, nor its reflections; proposed as a new lead to develop",
    "tool": "verify"
  },
  "tool": "verify",
  "call": {
    "name": "verify",
    "arguments": {
      "uuid": "941ef62e-d97b-2438-bfc8-22ae9e5da781"
    }
  },
  "result": {
    "uuid": "941ef62e-d97b-2438-bfc8-22ae9e5da781",
    "channel": {
      "uuid": "941ef62e-d97b-2438-bfc8-22ae9e5da781",
      "handle": "941ef62e",
      "middle": "d97b2438bfc8",
      "tail": "22ae9e5da781",
      "program": [
        13,
        9,
        7,
        11,
        4,
        3,
        8,
        15,
        12,
        8
      ],
      "version": "2",
      "variant": "b",
      "message": {
        "one48": 38133376591745,
        "two24": [
          2272926,
          6137729
        ],
        "three16": [
          8878,
          40541,
          42881
        ],
        "text6": null,
        "timestamp": null,
        "referrer": {
          "handle": "22ae9e5d",
          "flags": 42881
        },
        "colour": {
          "rgb": "#22ae9e",
          "key": 0.3658371785782086
        },
        "coordinate": {
          "lat": -65.614148,
          "lon": -48.298616
        },
        "vortex": {
          "seed": 2,
          "reflection": 8,
          "fixed": false,
          "polarity": "minus",
          "trinity": [
            2,
            5,
            8
          ],
          "reflected": [
            8,
            5,
            2
          ],
          "tuned": false,
          "key": 432
        }
      },
      "door": "qpu://941ef62e",
      "words": "941ef62e · program 13971143815128 · tail 22ae9e5da781"
    },
    "reflection": {
      "of": "941ef62e-d97b-2438-bfc8-22ae9e5da781",
      "mirror": "6be109d1-2684-6bc7-8037-dd5161a2587e",
      "handle": "6be109d1",
      "program": [
        2,
        6,
        8,
        4,
        11,
        12,
        7,
        0,
        3,
        7
      ],
      "tail": "dd5161a2587e",
      "readings": {
        "one48": 243341600118910,
        "two24": [
          14504289,
          10639486
        ],
        "three16": [
          56657,
          24994,
          22654
        ],
        "text6": null,
        "timestamp": null,
        "referrer": {
          "handle": "dd5161a2",
          "flags": 22654
        },
        "colour": {
          "rgb": "#dd5161",
          "key": 0.6341628214217914
        },
        "coordinate": {
          "lat": 65.614148,
          "lon": 48.298616
        },
        "vortex": {
          "seed": 7,
          "reflection": 3,
          "fixed": false,
          "polarity": "plus",
          "trinity": [
            7,
            4,
            1
          ],
          "reflected": [
            3,
            6,
            9
          ],
          "tuned": false,
          "key": 432
        }
      },
      "fixed": 0,
      "note": "σ_15 on nibbles has no fixed point; the pair is two states held at once"
    },
    "valid": true,
    "checks": [
      {
        "check": "seal",
        "passed": true,
        "evidence": "version 2 vs decided 2; variant in 8..b"
      },
      {
        "check": "content",
        "passed": null,
        "evidence": "no content given"
      },
      {
        "check": "prev",
        "passed": null,
        "evidence": "no predecessor given"
      },
      {
        "check": "next",
        "passed": null,
        "evidence": "no successor given"
      }
    ],
    "decided": 1,
    "cost": "one modular power for the seal, one fold for the content, two string equalities for the neighbours",
    "bound": "the fold is tamper-evident and separates content; it is not collision-resistant against an adversary who searches for one. The docket and the receipts carry a SHA-256 beside it for that case."
  },
  "pattern": "uuid"
}

match · match-pattern-dashboard

Pattern recognition: "dashboard of <tool>" lays the tool out whole.

{"name":"match","arguments":{"statement":"show me the dashboard of algorithm"}}

✓ as expected

match · Any statement, matched against everything the surface can do. served: a call answers it and is returned. impossible: the surface proves it cannot, from a schema bound the statement exceeds, a lead whose reason says why, or the handler's own refusal; the cluster then names the served possibilities around it and verify names the live sources the client's MCP can check. unknown: nothing matches, and the statement comes back as a new lead to develop.

Statement

show me the dashboard of algorithm

Verdict

served

Tool

dashboard

Lead

dashboard-algorithm (served)

Evidence
pattern dashboard: a tool laid out whole; dashboard answered
example algorithm-shor-15: as documented

Served possibility	Kind	Score	Text
algorithm	tool	2.265069975453434	The textbook algorithms of the Cirq page: qft and inverse_qft (on 1 to 6 qubits, from input x), phase_estimation (of θ with 1 to 8 bits), grover (two qubits, marked |00>), teleportation (the message state, sent and received), qaoa (depth 1 on the first 2 to 12 sorted qubits of the Sycamore device, the page's instance, with the expected cut), and shor (order finding for N from 3 to 21, the state-vector bound). Each returns its summary and a table.
algorithm-grover	example	0.7650699754534338	Grover on two qubits finds the marked |00⟩ with certainty.
algorithm-phase-estimation	example	0.7650699754534338	Phase estimation reads θ = 0.25 exactly in three bits.
algorithm-qaoa	example	0.7650699754534338	QAOA on the Cirq page's instance, sampled from the state's probabilities.
algorithm-qft-3	example	0.7650699754534338	The QFT of |5⟩ on three qubits: eight amplitudes of equal magnitude.
algorithm-shor-15	example	0.7650699754534338	Shor's circuit on the state-vector simulator: order 4 and factors 3 × 5 for N = 15, a = 7.
algorithm-teleportation	example	0.7650699754534338	Teleportation: the received state matches the message on X, Y and Z.
hybrid-quantum-classical	lead	0.2650699754534338	served by algorithm
perspective-factorer	lead	0.2650699754534338	served by algorithm
qaoa	lead	0.2650699754534338	served by algorithm
repo-qualtran	lead	0.2650699754534338	served by repositories
shor	lead	0.2650699754534338	served by algorithm
textbook-algorithms	lead	0.2650699754534338	served by algorithm

Verify live via	URL	Check
source-page	https://quantumai.google/software	the page states: Hybrid quantum-classical algorithms: a classical outer loop over quantum expectation values, the QAOA sweep and the VQE sweep
source-page	https://quantumai.google/cirq/experiments/variational_algorithm	the page states: the page cirq/experiments/variational_algorithm
source-page	https://quantumai.google/reference/python/openfermion/circuits/trotter/trotter_algorithm	the page states: API reference of openfermion.circuits.trotter.trotter_algorithm, not implemented here
source-page	https://quantumai.google/reference/python/openfermion/circuits/trotter/trotter_algorithm/Hamiltonian	the page states: API reference of openfermion.circuits.trotter.trotter_algorithm.Hamiltonian, not implemented here
source-page	https://quantumai.google/cirq/experiments/qaoa/qaoa_maxcut	the page states: QAOA max-cut at p = 1 on Sycamore: the first twelve sorted qubits, their couplers in networkx order, numpy's seed-11 weights (reproduced exactly), the 5 by 5 sweep, and the estimate_cost objective sampled at 20,000 shots
oeis	https://oeis.org/search?fmt=json&q=11	the integer 11 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/11	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=20	the integer 20 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/20	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=000	the integer 000 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/000	the summary agrees with the lead's statement
github	https://api.github.com/repos/quantumlib/qualtran	description and language equal the repositories tool's entry for qualtran
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/qualtran	the summary agrees with the lead's statement
source-page	https://quantumai.google/cirq/experiments/textbook_algorithms	the page states: Shor's order finding, the later use of phase estimation the page names
source-page	https://quantumai.google/cirq/experiments/textbook_algorithms	the page states: Teleportation, QFT and its inverse, phase estimation, Grover on two qubits

Reflection: n	Hidden factors	By

Reflection: x	Bound	σ_d(x)	QFT angle

Mirror query

Lead to develop	Statement

Kind	Candidate	Score	Text
tool	algorithm	2.265069975453434	The textbook algorithms of the Cirq page: qft and inverse_qft (on 1 to 6 qubits, from input x), phase_estimation (of θ with 1 to 8 bits), grover (two qubits, marked |00>), teleportation (the message state, sent and received), qaoa (depth 1 on the first 2 to 12 sorted qubits of the Sycamore device, the page's instance, with the expected cut), and shor (order finding for N from 3 to 21, the state-vector bound). Each returns its summary and a table.
example	algorithm-grover	0.7650699754534338	Grover on two qubits finds the marked |00⟩ with certainty.
example	algorithm-phase-estimation	0.7650699754534338	Phase estimation reads θ = 0.25 exactly in three bits.
example	algorithm-qaoa	0.7650699754534338	QAOA on the Cirq page's instance, sampled from the state's probabilities.
example	algorithm-qft-3	0.7650699754534338	The QFT of |5⟩ on three qubits: eight amplitudes of equal magnitude.
example	algorithm-shor-15	0.7650699754534338	Shor's circuit on the state-vector simulator: order 4 and factors 3 × 5 for N = 15, a = 7.
example	algorithm-teleportation	0.7650699754534338	Teleportation: the received state matches the message on X, Y and Z.
lead	hybrid-quantum-classical	0.2650699754534338	served by algorithm
lead	page:cirq/experiments/variational_algorithm	0.2650699754534338	open: in the sitemap (lastmod 2026-07-30); fetchable; no tool follows this page yet
lead	page:reference/python/openfermion/circuits/trotter/trotter_algorithm	0.2650699754534338	open: in the sitemap (lastmod 2026-07-17); fetchable; no tool follows this page yet
lead	page:reference/python/openfermion/circuits/trotter/trotter_algorithm/Hamiltonian	0.2650699754534338	open: in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet
lead	perspective-factorer	0.2650699754534338	served by algorithm
lead	qaoa	0.2650699754534338	served by algorithm
lead	repo-qualtran	0.2650699754534338	served by repositories
lead	shor	0.2650699754534338	served by algorithm
lead	textbook-algorithms	0.2650699754534338	served by algorithm

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "statement": "show me the dashboard of algorithm",
  "verdict": "served",
  "evidence": [
    "pattern dashboard: a tool laid out whole; dashboard answered",
    "example algorithm-shor-15: as documented"
  ],
  "tool": "dashboard",
  "call": {
    "name": "dashboard",
    "arguments": {
      "tool": "algorithm"
    }
  },
  "result": {
    "tool": "algorithm",
    "facets": 13,
    "enumerable": 10,
    "fixed": 0,
    "combinations": 280896,
    "cells": 7,
    "final": 0,
    "space": "unbounded",
    "freeRequired": [],
    "facetList": [
      {
        "property": "name",
        "kind": "enum",
        "required": true,
        "values": [
          "qft",
          "inverse_qft",
          "phase_estimation",
          "grover",
          "teleportation",
          "qaoa",
          "shor"
        ],
        "domain": "one of 7",
        "space": 7
      },
      {
        "property": "N",
        "kind": "range",
        "required": false,
        "values": [
          3,
          4,
          5,
          6,
          7,
          8,
          9,
          10,
          11,
          12,
          13,
          14,
          15,
          16,
          17,
          18,
          19,
          20,
          21
        ],
        "domain": "integer in [3, 21]",
        "space": 19
      },
      {
        "property": "a",
        "kind": "textbook",
        "required": false,
        "values": [
          7
        ],
        "domain": "1 value(s) the textbook uses",
        "space": 1
      },
      {
        "property": "sweep",
        "kind": "boolean",
        "required": false,
        "values": [
          false,
          true
        ],
        "domain": "false or true",
        "space": 2
      },
      {
        "property": "qubits",
        "kind": "range",
        "required": false,
        "values": [
          1,
          2,
          3,
          4,
          5,
          6
        ],
        "domain": "integer in [1, 6]",
        "space": 6
      },
      {
        "property": "input",
        "kind": "textbook",
        "required": false,
        "values": [
          5
        ],
        "domain": "1 value(s) the textbook uses",
        "space": 1
      },
      {
        "property": "theta",
        "kind": "textbook",
        "required": false,
        "values": [
          0.25
        ],
        "domain": "1 value(s) the textbook uses",
        "space": 1
      },
      {
        "property": "bits",
        "kind": "range",
        "required": false,
        "values": [
          1,
          2,
          3,
          4,
          5,
          6,
          7,
          8
        ],
        "domain": "integer in [1, 8]",
        "space": 8
      },
      {
        "property": "repetitions",
        "kind": "range",
        "required": false,
        "values": [
          1,
          10000
        ],
        "domain": "integer in [1, 10000] (2 shown: the ends and the textbook's; any value in the range is yours to type)",
        "space": 10000
      },
      {
        "property": "nodes",
        "kind": "range",
        "required": false,
        "values": [
          2,
          3,
          4,
          5,
          6,
          7,
          8,
          9,
          10,
          11,
          12
        ],
        "domain": "integer in [2, 12]",
        "space": 11
      },
      {
        "property": "weights",
        "kind": "free",
        "required": false,
        "values": [],
        "domain": "array: free, no value enumerable",
        "space": null
      },
      {
        "property": "alpha",
        "kind": "free",
        "required": false,
        "values": [],
        "domain": "number: free, no value enumerable",
        "space": null
      },
      {
        "property": "beta",
        "kind": "free",
        "required": false,
        "values": [],
        "domain": "number: free, no value enumerable",
        "space": null
      }
    ],
    "cellList": [
      {
        "arguments": {
          "name": "qft"
        },
        "uuid": "466f2b7f-e8b9-7376-9840-01ba520f316d",
        "url": "/u/466f2b7f-e8b9-7376-9840-01ba520f316d",
        "final": false
      },
      {
        "arguments": {
          "name": "inverse_qft"
        },
        "uuid": "b02a028a-539a-1c87-8086-cbf5065b36c4",
        "url": "/u/b02a028a-539a-1c87-8086-cbf5065b36c4",
        "final": false
      },
      {
        "arguments": {
          "name": "phase_estimation"
        },
        "uuid": "42a3f4ca-22c2-83c8-9a78-40443cc11881",
        "url": "/u/42a3f4ca-22c2-83c8-9a78-40443cc11881",
        "final": false
      },
      {
        "arguments": {
          "name": "grover"
        },
        "uuid": "1d369cb2-77ba-5e36-97d0-924fddcd1a79",
        "url": "/u/1d369cb2-77ba-5e36-97d0-924fddcd1a79",
        "final": false
      },
      {
        "arguments": {
          "name": "teleportation"
        },
        "uuid": "38a7d8a6-08f7-5f0e-9a87-05aca9cbde22",
        "url": "/u/38a7d8a6-08f7-5f0e-9a87-05aca9cbde22",
        "final": false
      },
      {
        "arguments": {
          "name": "qaoa"
        },
        "uuid": "9d66d2d4-8c18-5592-aa65-4e7b0b90f9e6",
        "url": "/u/9d66d2d4-8c18-5592-aa65-4e7b0b90f9e6",
        "final": false
      },
      {
        "arguments": {
          "name": "shor"
        },
        "uuid": "1ade21c5-1024-3c26-a5c1-12b3a15de2be",
        "url": "/u/1ade21c5-1024-3c26-a5c1-12b3a15de2be",
        "final": false
      }
    ],
    "html": "<div style=\"display: grid; gap: var(--gap-md);\"><div role=\"heading\" aria-level=\"3\">algorithm: 280,896 combination(s) of 10 facet(s), 0 fixed, 7 cell(s) here</div><div data-facet=\"name\"><strong>name</strong> <small>one of 7, required</small><div><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">\"qft\"</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">\"inverse_qft\"</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">\"phase_estimation\"</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">\"grover\"</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">\"teleportation\"</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">\"qaoa\"</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">\"shor\"</span></div></div><div data-facet=\"N\"><strong>N</strong> <small>integer in [3, 21]</small><div><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">3</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">4</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">5</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">6</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">7</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">8</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">9</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">10</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">11</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">12</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">13</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">14</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">15</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">16</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">17</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">18</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">19</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">20</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">21</span></div></div><div data-facet=\"a\"><strong>a</strong> <small>1 value(s) the textbook uses</small><div><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">7</span></div></div><div data-facet=\"sweep\"><strong>sweep</strong> <small>false or true</small><div><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">false</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">true</span></div></div><div data-facet=\"qubits\"><strong>qubits</strong> <small>integer in [1, 6]</small><div><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">1</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">2</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">3</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">4</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">5</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">6</span></div></div><div data-facet=\"input\"><strong>input</strong> <small>1 value(s) the textbook uses</small><div><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">5</span></div></div><div data-facet=\"theta\"><strong>theta</strong> <small>1 value(s) the textbook uses</small><div><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">0.25</span></div></div><div data-facet=\"bits\"><strong>bits</strong> <small>integer in [1, 8]</small><div><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">1</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">2</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">3</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">4</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">5</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">6</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">7</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">8</span></div></div><div data-facet=\"repetitions\"><strong>repetitions</strong> <small>integer in [1, 10000] (2 shown: the ends and the textbook's; any value in the range is yours to type)</small><div><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">1</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">10000</span></div></div><div data-facet=\"nodes\"><strong>nodes</strong> <small>integer in [2, 12]</small><div><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">2</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">3</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">4</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">5</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">6</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">7</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">8</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">9</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">10</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">11</span><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">12</span></div></div><div data-facet=\"weights\"><strong>weights</strong> <small>array: free, no value enumerable</small><div><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">free</span></div></div><div data-facet=\"alpha\"><strong>alpha</strong> <small>number: free, no value enumerable</small><div><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">free</span></div></div><div data-facet=\"beta\"><strong>beta</strong> <small>number: free, no value enumerable</small><div><span style=\"display:inline-block; padding: 2px 8px; margin: 2px; border-radius: 999px; background: var(--surface-1); font-size: var(--font-size-footnote); \">free</span></div></div><div style=\"display: grid; grid-template-columns: repeat(auto-fill, minmax(140px, 1fr)); gap: var(--gap-sm, 6px);\"><a href=\"/u/466f2b7f-e8b9-7376-9840-01ba520f316d\" data-block=\"466f2b7f-e8b9-7376-9840-01ba520f316d\" style=\"--qpu-reflected-hue: 249; --qpu-drift: 138; --qpu-dust: 2 3 23; --qpu-drift-angle: 2.408554; --qpu-hue: 111; --qpu-c: 0.909; --qpu-m: 0.591; --qpu-y: 0.463; --qpu-k: 0.516; --qpu-accent: rgb(11 51 66); --qpu-tail: rgb(1 186 82); --qpu-angle: 37; --qpu-vortex: 1; --qpu-reflection: 9; --qpu-trinity: 7; --qpu-period: 432ms; --block-accent: rgb(11 51 66); display: block; border-left: 3px solid var(--qpu-accent); padding: 4px 8px; border-radius: var(--radius); background: var(--surface-1); color: var(--text-primary); text-decoration: none; font-size: var(--font-size-footnote);\" title=\"466f2b7f-e8b9-7376-9840-01ba520f316d\">▸ name=&quot;qft&quot;</a><a href=\"/u/b02a028a-539a-1c87-8086-cbf5065b36c4\" data-block=\"b02a028a-539a-1c87-8086-cbf5065b36c4\" style=\"--qpu-reflected-hue: 302; --qpu-drift: 244; --qpu-dust: 2 2 61; --qpu-drift-angle: 4.258603; --qpu-hue: 58; --qpu-c: 0.326; --qpu-m: 0.632; --qpu-y: 0.529; --qpu-k: 0.033; --qpu-accent: rgb(166 91 116); --qpu-tail: rgb(203 245 6); --qpu-angle: 180; --qpu-vortex: 9; --qpu-reflection: 1; --qpu-trinity: 3; --qpu-period: 3888ms; --block-accent: rgb(166 91 116); display: block; border-left: 3px solid var(--qpu-accent); padding: 4px 8px; border-radius: var(--radius); background: var(--surface-1); color: var(--text-primary); text-decoration: none; font-size: var(--font-size-footnote);\" title=\"b02a028a-539a-1c87-8086-cbf5065b36c4\">▸ name=&quot;inverse_qft&quot;</a><a href=\"/u/42a3f4ca-22c2-83c8-9a78-40443cc11881\" data-block=\"42a3f4ca-22c2-83c8-9a78-40443cc11881\" style=\"--qpu-reflected-hue: 270; --qpu-drift: 180; --qpu-dust: 2 2 3 3 5; --qpu-drift-angle: 3.141593; --qpu-hue: 90; --qpu-c: 0.136; --qpu-m: 0.157; --qpu-y: 0.784; --qpu-k: 0.654; --qpu-accent: rgb(76 74 19); --qpu-tail: rgb(64 68 60); --qpu-angle: 313; --qpu-vortex: 7; --qpu-reflection: 3; --qpu-trinity: 7; --qpu-period: 3024ms; --block-accent: rgb(76 74 19); display: block; border-left: 3px solid var(--qpu-accent); padding: 4px 8px; border-radius: var(--radius); background: var(--surface-1); color: var(--text-primary); text-decoration: none; font-size: var(--font-size-footnote);\" title=\"42a3f4ca-22c2-83c8-9a78-40443cc11881\">▸ name=&quot;phase_estimation&quot;</a><a href=\"/u/1d369cb2-77ba-5e36-97d0-924fddcd1a79\" data-block=\"1d369cb2-77ba-5e36-97d0-924fddcd1a79\" style=\"--qpu-reflected-hue: 78; --qpu-drift: 204; --qpu-dust: 2 2 3 17; --qpu-drift-angle: 3.560472; --qpu-hue: 282; --qpu-c: 0.468; --qpu-m: 0.648; --qpu-y: 0.213; --qpu-k: 0.488; --qpu-accent: rgb(69 46 103); --qpu-tail: rgb(146 79 221); --qpu-angle: 33; --qpu-vortex: 6; --qpu-reflection: 4; --qpu-trinity: 3; --qpu-period: 2592ms; --block-accent: rgb(69 46 103); display: block; border-left: 3px solid var(--qpu-accent); padding: 4px 8px; border-radius: var(--radius); background: var(--surface-1); color: var(--text-primary); text-decoration: none; font-size: var(--font-size-footnote);\" title=\"1d369cb2-77ba-5e36-97d0-924fddcd1a79\">▸ name=&quot;grover&quot;</a><a href=\"/u/38a7d8a6-08f7-5f0e-9a87-05aca9cbde22\" data-block=\"38a7d8a6-08f7-5f0e-9a87-05aca9cbde22\" style=\"--qpu-reflected-hue: 130; --qpu-drift: 100; --qpu-dust: 2 2 5 5; --qpu-drift-angle: 1.745329; --qpu-hue: 230; --qpu-c: 0.035; --qpu-m: 0.461; --qpu-y: 0.057; --qpu-k: 0.658; --qpu-accent: rgb(84 47 82); --qpu-tail: rgb(5 172 169); --qpu-angle: 130; --qpu-vortex: 4; --qpu-reflection: 6; --qpu-trinity: 7; --qpu-period: 1728ms; --block-accent: rgb(84 47 82); display: block; border-left: 3px solid var(--qpu-accent); padding: 4px 8px; border-radius: var(--radius); background: var(--surface-1); color: var(--text-primary); text-decoration: none; font-size: var(--font-size-footnote);\" title=\"38a7d8a6-08f7-5f0e-9a87-05aca9cbde22\">▸ name=&quot;teleportation&quot;</a><a href=\"/u/9d66d2d4-8c18-5592-aa65-4e7b0b90f9e6\" data-block=\"9d66d2d4-8c18-5592-aa65-4e7b0b90f9e6\" style=\"--qpu-reflected-hue: 84; --qpu-drift: 192; --qpu-dust: 2 2 2 2 2 2 3; --qpu-drift-angle: 3.351032; --qpu-hue: 276; --qpu-c: 0.547; --qpu-m: 0.521; --qpu-y: 0.573; --qpu-k: 0.650; --qpu-accent: rgb(40 43 38); --qpu-tail: rgb(78 123 11); --qpu-angle: 70; --qpu-vortex: 7; --qpu-reflection: 3; --qpu-trinity: 7; --qpu-period: 3024ms; --block-accent: rgb(40 43 38); display: block; border-left: 3px solid var(--qpu-accent); padding: 4px 8px; border-radius: var(--radius); background: var(--surface-1); color: var(--text-primary); text-decoration: none; font-size: var(--font-size-footnote);\" title=\"9d66d2d4-8c18-5592-aa65-4e7b0b90f9e6\">▸ name=&quot;qaoa&quot;</a><a href=\"/u/1ade21c5-1024-3c26-a5c1-12b3a15de2be\" data-block=\"1ade21c5-1024-3c26-a5c1-12b3a15de2be\" style=\"--qpu-reflected-hue: 107; --qpu-drift: 146; --qpu-dust: 2 73; --qpu-drift-angle: 2.548181; --qpu-hue: 253; --qpu-c: 0.063; --qpu-m: 0.265; --qpu-y: 0.151; --qpu-k: 0.360; --qpu-accent: rgb(153 120 139); --qpu-tail: rgb(18 179 161); --qpu-angle: 102; --qpu-vortex: 3; --qpu-reflection: 7; --qpu-trinity: 3; --qpu-period: 1296ms; --block-accent: rgb(153 120 139); display: block; border-left: 3px solid var(--qpu-accent); padding: 4px 8px; border-radius: var(--radius); background: var(--surface-1); color: var(--text-primary); text-decoration: none; font-size: var(--font-size-footnote);\" title=\"1ade21c5-1024-3c26-a5c1-12b3a15de2be\">▸ name=&quot;shor&quot;</a></div></div>"
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      "hits": 3,
      "text": "The textbook algorithms of the Cirq page: qft and inverse_qft (on 1 to 6 qubits, from input x), phase_estimation (of θ with 1 to 8 bits), grover (two qubits, marked |00>), teleportation (the message state, sent and received), qaoa (depth 1 on the first 2 to 12 sorted qubits of the Sycamore device, the page's instance, with the expected cut), and shor (order finding for N from 3 to 21, the state-vector bound). Each returns its summary and a table."
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    {
      "kind": "example",
      "id": "algorithm-grover",
      "score": 0.7650699754534338,
      "hits": 2,
      "text": "Grover on two qubits finds the marked |00⟩ with certainty."
    },
    {
      "kind": "example",
      "id": "algorithm-phase-estimation",
      "score": 0.7650699754534338,
      "hits": 2,
      "text": "Phase estimation reads θ = 0.25 exactly in three bits."
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      "kind": "example",
      "id": "algorithm-qaoa",
      "score": 0.7650699754534338,
      "hits": 2,
      "text": "QAOA on the Cirq page's instance, sampled from the state's probabilities."
    },
    {
      "kind": "example",
      "id": "algorithm-qft-3",
      "score": 0.7650699754534338,
      "hits": 2,
      "text": "The QFT of |5⟩ on three qubits: eight amplitudes of equal magnitude."
    },
    {
      "kind": "example",
      "id": "algorithm-shor-15",
      "score": 0.7650699754534338,
      "hits": 2,
      "text": "Shor's circuit on the state-vector simulator: order 4 and factors 3 × 5 for N = 15, a = 7."
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    {
      "kind": "example",
      "id": "algorithm-teleportation",
      "score": 0.7650699754534338,
      "hits": 2,
      "text": "Teleportation: the received state matches the message on X, Y and Z."
    },
    {
      "kind": "lead",
      "id": "hybrid-quantum-classical",
      "score": 0.2650699754534338,
      "hits": 1,
      "text": "served by algorithm"
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    {
      "kind": "lead",
      "id": "page:cirq/experiments/variational_algorithm",
      "score": 0.2650699754534338,
      "hits": 1,
      "text": "open: in the sitemap (lastmod 2026-07-30); fetchable; no tool follows this page yet"
    },
    {
      "kind": "lead",
      "id": "page:reference/python/openfermion/circuits/trotter/trotter_algorithm",
      "score": 0.2650699754534338,
      "hits": 1,
      "text": "open: in the sitemap (lastmod 2026-07-17); fetchable; no tool follows this page yet"
    },
    {
      "kind": "lead",
      "id": "page:reference/python/openfermion/circuits/trotter/trotter_algorithm/Hamiltonian",
      "score": 0.2650699754534338,
      "hits": 1,
      "text": "open: in the sitemap (lastmod 2025-07-24); fetchable; no tool follows this page yet"
    },
    {
      "kind": "lead",
      "id": "perspective-factorer",
      "score": 0.2650699754534338,
      "hits": 1,
      "text": "served by algorithm"
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      "kind": "lead",
      "id": "qaoa",
      "score": 0.2650699754534338,
      "hits": 1,
      "text": "served by algorithm"
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      "kind": "lead",
      "id": "repo-qualtran",
      "score": 0.2650699754534338,
      "hits": 1,
      "text": "served by repositories"
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    {
      "kind": "lead",
      "id": "shor",
      "score": 0.2650699754534338,
      "hits": 1,
      "text": "served by algorithm"
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      "kind": "lead",
      "id": "textbook-algorithms",
      "score": 0.2650699754534338,
      "hits": 1,
      "text": "served by algorithm"
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    {
      "kind": "tool",
      "id": "algorithm",
      "score": 2.265069975453434,
      "hits": 3,
      "text": "The textbook algorithms of the Cirq page: qft and inverse_qft (on 1 to 6 qubits, from input x), phase_estimation (of θ with 1 to 8 bits), grover (two qubits, marked |00>), teleportation (the message state, sent and received), qaoa (depth 1 on the first 2 to 12 sorted qubits of the Sycamore device, the page's instance, with the expected cut), and shor (order finding for N from 3 to 21, the state-vector bound). Each returns its summary and a table."
    },
    {
      "kind": "example",
      "id": "algorithm-grover",
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      "hits": 2,
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      "kind": "example",
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      "text": "Phase estimation reads θ = 0.25 exactly in three bits."
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      "hits": 2,
      "text": "The QFT of |5⟩ on three qubits: eight amplitudes of equal magnitude."
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    {
      "kind": "example",
      "id": "algorithm-shor-15",
      "score": 0.7650699754534338,
      "hits": 2,
      "text": "Shor's circuit on the state-vector simulator: order 4 and factors 3 × 5 for N = 15, a = 7."
    },
    {
      "kind": "example",
      "id": "algorithm-teleportation",
      "score": 0.7650699754534338,
      "hits": 2,
      "text": "Teleportation: the received state matches the message on X, Y and Z."
    },
    {
      "kind": "lead",
      "id": "hybrid-quantum-classical",
      "score": 0.2650699754534338,
      "hits": 1,
      "text": "served by algorithm"
    },
    {
      "kind": "lead",
      "id": "perspective-factorer",
      "score": 0.2650699754534338,
      "hits": 1,
      "text": "served by algorithm"
    },
    {
      "kind": "lead",
      "id": "qaoa",
      "score": 0.2650699754534338,
      "hits": 1,
      "text": "served by algorithm"
    },
    {
      "kind": "lead",
      "id": "repo-qualtran",
      "score": 0.2650699754534338,
      "hits": 1,
      "text": "served by repositories"
    },
    {
      "kind": "lead",
      "id": "shor",
      "score": 0.2650699754534338,
      "hits": 1,
      "text": "served by algorithm"
    },
    {
      "kind": "lead",
      "id": "textbook-algorithms",
      "score": 0.2650699754534338,
      "hits": 1,
      "text": "served by algorithm"
    }
  ],
  "verify": [
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/software",
      "accept": "text/html",
      "check": "the page states: Hybrid quantum-classical algorithms: a classical outer loop over quantum expectation values, the QAOA sweep and the VQE sweep",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/cirq/experiments/variational_algorithm",
      "accept": "text/html",
      "check": "the page states: the page cirq/experiments/variational_algorithm",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/openfermion/circuits/trotter/trotter_algorithm",
      "accept": "text/html",
      "check": "the page states: API reference of openfermion.circuits.trotter.trotter_algorithm, not implemented here",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/openfermion/circuits/trotter/trotter_algorithm/Hamiltonian",
      "accept": "text/html",
      "check": "the page states: API reference of openfermion.circuits.trotter.trotter_algorithm.Hamiltonian, not implemented here",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/cirq/experiments/qaoa/qaoa_maxcut",
      "accept": "text/html",
      "check": "the page states: QAOA max-cut at p = 1 on Sycamore: the first twelve sorted qubits, their couplers in networkx order, numpy's seed-11 weights (reproduced exactly), the 5 by 5 sweep, and the estimate_cost objective sampled at 20,000 shots",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=11",
      "accept": "application/json",
      "check": "the integer 11 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/11",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=20",
      "accept": "application/json",
      "check": "the integer 20 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/20",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=000",
      "accept": "application/json",
      "check": "the integer 000 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/000",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "github",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://api.github.com/repos/quantumlib/qualtran",
      "accept": "application/vnd.github+json",
      "check": "description and language equal the repositories tool's entry for qualtran",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/qualtran",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/cirq/experiments/textbook_algorithms",
      "accept": "text/html",
      "check": "the page states: Shor's order finding, the later use of phase estimation the page names",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/cirq/experiments/textbook_algorithms",
      "accept": "text/html",
      "check": "the page states: Teleportation, QFT and its inverse, phase estimation, Grover on two qubits",
      "method": "GET"
    }
  ],
  "reflection": {
    "factors": [],
    "angles": [],
    "queries": [],
    "found": [],
    "leads": []
  },
  "lead": {
    "id": "dashboard-algorithm",
    "source": "statement",
    "statement": "show me the dashboard of algorithm",
    "status": "served",
    "tool": "dashboard"
  },
  "pattern": "dashboard"
}

match · match-rsa-2048

Any statement, proved impossible from the schema: algorithm.N is bounded to 21; the cluster names what is served instead.

{"name":"match","arguments":{"statement":"Factor RSA-2048 with Shor"}}

✓ as expected

match · Any statement, matched against everything the surface can do. served: a call answers it and is returned. impossible: the surface proves it cannot, from a schema bound the statement exceeds, a lead whose reason says why, or the handler's own refusal; the cluster then names the served possibilities around it and verify names the live sources the client's MCP can check. unknown: nothing matches, and the statement comes back as a new lead to develop.

Statement

Factor RSA-2048 with Shor

Verdict

impossible

Tool

—

Lead

factor-rsa-2048-shor (blocked)

Evidence
algorithm.N is bounded to [3, 21] by its schema; the statement asks for rsa-2048
fault-tolerant-design.N is bounded to [3, 21] by its schema; the statement asks for rsa-2048 (shor: the modulus)

Served possibility	Kind	Score	Text
responsibility-pdf	lead	1	served by statements
algorithm-shor-15	example	0.8394536660667256	Shor's circuit on the state-vector simulator: order 4 and factors 3 × 5 for N = 15, a = 7.
algorithm	tool	0.3394536660667255	The textbook algorithms of the Cirq page: qft and inverse_qft (on 1 to 6 qubits, from input x), phase_estimation (of θ with 1 to 8 bits), grover (two qubits, marked |00>), teleportation (the message state, sent and received), qaoa (depth 1 on the first 2 to 12 sorted qubits of the Sycamore device, the page's instance, with the expected cut), and shor (order finding for N from 3 to 21, the state-vector bound). Each returns its summary and a table.
fault-tolerant-design	tool	0.3394536660667255	Resource counts read from the circuits this repository builds: the QFT on n qubits, Grover, teleportation, Shor for N up to 21, the QAOA instance and the repetition-code cycle. For each: gates by name, two-qubit gates, depth in moments, and the T-count of the gates whose Clifford+T cost is stated (Toffoli 7, T 1, controlled-S 3; Cliffordness computed from each unitary). Rotations and undecomposed gates are listed and left uncounted, and the count says whether it is complete. Qualtran is the cited library for the general case.
perspective-factorer	lead	0.3394536660667255	served by algorithm
shor	lead	0.3394536660667255	served by algorithm

Verify live via	URL	Check
source-page	https://quantumai.google/reference/python/cirq/kron_factor_4x4_to_2x2s	the page states: API reference of cirq.kron_factor_4x4_to_2x2s, not implemented here
source-page	https://uuidna.com/mcp	the page states: Prime factors hide beyond the reflection, and the sequence reflected in double-torus combinations of trinities explains all at the Lean binary level: the factoring the simulator cannot reach within its bound would be read from the σ-reflection of periods arranged on the double torus of the triad.
oeis	https://oeis.org/search?fmt=json&q=204	the integer 204 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/204	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=205	the integer 205 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/205	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=256	the integer 256 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/256	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=256	the integer 256 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/256	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=128	the integer 128 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/128	the summary agrees with the lead's statement
source-page	https://quantumai.google/cirq/experiments/textbook_algorithms	the page states: Shor's order finding, the later use of phase estimation the page names
oeis	https://oeis.org/search?fmt=json&q=2048	the integer 2048 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/2048	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=7952	the integer 7952 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/7952	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=286796	the integer 286796 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/286796	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=2048	the integer 2048 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/2048	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=7952	the integer 7952 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/7952	the summary agrees with the lead's statement
oeis	https://oeis.org/search?fmt=json&q=286796	the integer 286796 appears in at least one sequence
wikipedia	https://en.wikipedia.org/api/rest_v1/page/summary/286796	the summary agrees with the lead's statement

Reflection: n	Hidden factors	By
2048	—	beyond the simulator's bound N ≤ 21: not factored here

Reflection: x	Bound	σ_d(x)	QFT angle
2048	repetitions ≤ 10000	7952	1.2868
2048	repetitions ≤ 10000	7952	1.2868

Mirror query
rsa 2048 shor shor
rsa 2048 shor order
rsa 2048 shor period
rsa 2048 shor semiprime
factor rsa shor

Lead to develop	Statement
angle-repetitions-2048	σ_10000(2048) = 7952 on repetitions; QFT angle 1.286796 rad
angle-repetitions-2048	σ_10000(2048) = 7952 on repetitions; QFT angle 1.286796 rad

Kind	Candidate	Score	Text
lead	page:reference/python/cirq/kron_factor_4x4_to_2x2s	1	open: in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet
lead	responsibility-pdf	1	served by statements
example	algorithm-shor-15	0.8394536660667256	Shor's circuit on the state-vector simulator: order 4 and factors 3 × 5 for N = 15, a = 7.
tool	algorithm	0.3394536660667255	The textbook algorithms of the Cirq page: qft and inverse_qft (on 1 to 6 qubits, from input x), phase_estimation (of θ with 1 to 8 bits), grover (two qubits, marked |00>), teleportation (the message state, sent and received), qaoa (depth 1 on the first 2 to 12 sorted qubits of the Sycamore device, the page's instance, with the expected cut), and shor (order finding for N from 3 to 21, the state-vector bound). Each returns its summary and a table.
lead	double-torus-trinities	0.3394536660667255	open: recorded on 2026-10-25 as the author's idea, not a claim: measured today, the reflection factors only N ≤ 21 and says so for 91, 1001 and 2^32 + 1; the unit's triad door answers [3, 6, 9] and its double-torus door takes addresses (the tree's addresses are the next input); the kernel-accepted theorems shor, all_shor, shor_sigma and sigma_reflect relate a period, the coins and the σ-involution and are the binary level to build from; nothing beyond them is stated until the kernel accepts it
tool	fault-tolerant-design	0.3394536660667255	Resource counts read from the circuits this repository builds: the QFT on n qubits, Grover, teleportation, Shor for N up to 21, the QAOA instance and the repetition-code cycle. For each: gates by name, two-qubit gates, depth in moments, and the T-count of the gates whose Clifford+T cost is stated (Toffoli 7, T 1, controlled-S 3; Cliffordness computed from each unitary). Rotations and undecomposed gates are listed and left uncounted, and the count says whether it is complete. Qualtran is the cited library for the general case.
lead	perspective-factorer	0.3394536660667255	served by algorithm
lead	pqc-signature-over-folds	0.3394536660667255	open: a pure ML-DSA or SLH-DSA in this tree (no Node, no host) is a port of its own; until then the unit's sign_commit signs by citation and this tree seals by hash
lead	shor	0.3394536660667255	served by algorithm

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "statement": "Factor RSA-2048 with Shor",
  "verdict": "impossible",
  "evidence": [
    "algorithm.N is bounded to [3, 21] by its schema; the statement asks for rsa-2048",
    "fault-tolerant-design.N is bounded to [3, 21] by its schema; the statement asks for rsa-2048 (shor: the modulus)"
  ],
  "candidates": [
    {
      "kind": "lead",
      "id": "page:reference/python/cirq/kron_factor_4x4_to_2x2s",
      "score": 1,
      "hits": 1,
      "text": "open: in the sitemap (lastmod 2026-10-08); fetchable; no tool follows this page yet"
    },
    {
      "kind": "lead",
      "id": "responsibility-pdf",
      "score": 1,
      "hits": 1,
      "text": "served by statements"
    },
    {
      "kind": "example",
      "id": "algorithm-shor-15",
      "score": 0.8394536660667256,
      "hits": 2,
      "text": "Shor's circuit on the state-vector simulator: order 4 and factors 3 × 5 for N = 15, a = 7."
    },
    {
      "kind": "tool",
      "id": "algorithm",
      "score": 0.3394536660667255,
      "hits": 1,
      "text": "The textbook algorithms of the Cirq page: qft and inverse_qft (on 1 to 6 qubits, from input x), phase_estimation (of θ with 1 to 8 bits), grover (two qubits, marked |00>), teleportation (the message state, sent and received), qaoa (depth 1 on the first 2 to 12 sorted qubits of the Sycamore device, the page's instance, with the expected cut), and shor (order finding for N from 3 to 21, the state-vector bound). Each returns its summary and a table."
    },
    {
      "kind": "lead",
      "id": "double-torus-trinities",
      "score": 0.3394536660667255,
      "hits": 1,
      "text": "open: recorded on 2026-10-25 as the author's idea, not a claim: measured today, the reflection factors only N ≤ 21 and says so for 91, 1001 and 2^32 + 1; the unit's triad door answers [3, 6, 9] and its double-torus door takes addresses (the tree's addresses are the next input); the kernel-accepted theorems shor, all_shor, shor_sigma and sigma_reflect relate a period, the coins and the σ-involution and are the binary level to build from; nothing beyond them is stated until the kernel accepts it"
    },
    {
      "kind": "tool",
      "id": "fault-tolerant-design",
      "score": 0.3394536660667255,
      "hits": 1,
      "text": "Resource counts read from the circuits this repository builds: the QFT on n qubits, Grover, teleportation, Shor for N up to 21, the QAOA instance and the repetition-code cycle. For each: gates by name, two-qubit gates, depth in moments, and the T-count of the gates whose Clifford+T cost is stated (Toffoli 7, T 1, controlled-S 3; Cliffordness computed from each unitary). Rotations and undecomposed gates are listed and left uncounted, and the count says whether it is complete. Qualtran is the cited library for the general case."
    },
    {
      "kind": "lead",
      "id": "perspective-factorer",
      "score": 0.3394536660667255,
      "hits": 1,
      "text": "served by algorithm"
    },
    {
      "kind": "lead",
      "id": "pqc-signature-over-folds",
      "score": 0.3394536660667255,
      "hits": 1,
      "text": "open: a pure ML-DSA or SLH-DSA in this tree (no Node, no host) is a port of its own; until then the unit's sign_commit signs by citation and this tree seals by hash"
    },
    {
      "kind": "lead",
      "id": "shor",
      "score": 0.3394536660667255,
      "hits": 1,
      "text": "served by algorithm"
    }
  ],
  "cluster": [
    {
      "kind": "lead",
      "id": "responsibility-pdf",
      "score": 1,
      "hits": 1,
      "text": "served by statements"
    },
    {
      "kind": "example",
      "id": "algorithm-shor-15",
      "score": 0.8394536660667256,
      "hits": 2,
      "text": "Shor's circuit on the state-vector simulator: order 4 and factors 3 × 5 for N = 15, a = 7."
    },
    {
      "kind": "tool",
      "id": "algorithm",
      "score": 0.3394536660667255,
      "hits": 1,
      "text": "The textbook algorithms of the Cirq page: qft and inverse_qft (on 1 to 6 qubits, from input x), phase_estimation (of θ with 1 to 8 bits), grover (two qubits, marked |00>), teleportation (the message state, sent and received), qaoa (depth 1 on the first 2 to 12 sorted qubits of the Sycamore device, the page's instance, with the expected cut), and shor (order finding for N from 3 to 21, the state-vector bound). Each returns its summary and a table."
    },
    {
      "kind": "tool",
      "id": "fault-tolerant-design",
      "score": 0.3394536660667255,
      "hits": 1,
      "text": "Resource counts read from the circuits this repository builds: the QFT on n qubits, Grover, teleportation, Shor for N up to 21, the QAOA instance and the repetition-code cycle. For each: gates by name, two-qubit gates, depth in moments, and the T-count of the gates whose Clifford+T cost is stated (Toffoli 7, T 1, controlled-S 3; Cliffordness computed from each unitary). Rotations and undecomposed gates are listed and left uncounted, and the count says whether it is complete. Qualtran is the cited library for the general case."
    },
    {
      "kind": "lead",
      "id": "perspective-factorer",
      "score": 0.3394536660667255,
      "hits": 1,
      "text": "served by algorithm"
    },
    {
      "kind": "lead",
      "id": "shor",
      "score": 0.3394536660667255,
      "hits": 1,
      "text": "served by algorithm"
    }
  ],
  "verify": [
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/reference/python/cirq/kron_factor_4x4_to_2x2s",
      "accept": "text/html",
      "check": "the page states: API reference of cirq.kron_factor_4x4_to_2x2s, not implemented here",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://uuidna.com/mcp",
      "accept": "text/html",
      "check": "the page states: Prime factors hide beyond the reflection, and the sequence reflected in double-torus combinations of trinities explains all at the Lean binary level: the factoring the simulator cannot reach within its bound would be read from the σ-reflection of periods arranged on the double torus of the triad.",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=204",
      "accept": "application/json",
      "check": "the integer 204 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/204",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=205",
      "accept": "application/json",
      "check": "the integer 205 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/205",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=256",
      "accept": "application/json",
      "check": "the integer 256 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/256",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=256",
      "accept": "application/json",
      "check": "the integer 256 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/256",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=128",
      "accept": "application/json",
      "check": "the integer 128 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/128",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "source-page",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://quantumai.google/cirq/experiments/textbook_algorithms",
      "accept": "text/html",
      "check": "the page states: Shor's order finding, the later use of phase estimation the page names",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=2048",
      "accept": "application/json",
      "check": "the integer 2048 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/2048",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=7952",
      "accept": "application/json",
      "check": "the integer 7952 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/7952",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=286796",
      "accept": "application/json",
      "check": "the integer 286796 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/286796",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=2048",
      "accept": "application/json",
      "check": "the integer 2048 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/2048",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=7952",
      "accept": "application/json",
      "check": "the integer 7952 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/7952",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    },
    {
      "verifier": "oeis",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://oeis.org/search?fmt=json&q=286796",
      "accept": "application/json",
      "check": "the integer 286796 appears in at least one sequence",
      "method": "GET"
    },
    {
      "verifier": "wikipedia",
      "via": "the client's own MCP fetches it; this handler does no I/O",
      "url": "https://en.wikipedia.org/api/rest_v1/page/summary/286796",
      "accept": "application/json",
      "check": "the summary agrees with the lead's statement",
      "method": "GET"
    }
  ],
  "reflection": {
    "factors": [
      {
        "n": 2048,
        "by": "beyond the simulator's bound N ≤ 21: not factored here"
      }
    ],
    "angles": [
      {
        "x": 2048,
        "property": "repetitions",
        "d": 10000,
        "sigma": 7952,
        "angle": 1.2867963509103792
      },
      {
        "x": 2048,
        "property": "repetitions",
        "d": 10000,
        "sigma": 7952,
        "angle": 1.2867963509103792
      }
    ],
    "queries": [
      "rsa 2048 shor shor",
      "rsa 2048 shor order",
      "rsa 2048 shor period",
      "rsa 2048 shor semiprime",
      "factor rsa shor"
    ],
    "found": [],
    "leads": [
      {
        "id": "angle-repetitions-2048",
        "source": "reflection of: Factor RSA-2048 with Shor",
        "statement": "σ_10000(2048) = 7952 on repetitions; QFT angle 1.286796 rad",
        "status": "open",
        "reason": "an angle in the reflection; Qpu.Sigma proves σ_d(σ_d(x)) = x"
      },
      {
        "id": "angle-repetitions-2048",
        "source": "reflection of: Factor RSA-2048 with Shor",
        "statement": "σ_10000(2048) = 7952 on repetitions; QFT angle 1.286796 rad",
        "status": "open",
        "reason": "an angle in the reflection; Qpu.Sigma proves σ_d(σ_d(x)) = x"
      }
    ]
  },
  "lead": {
    "id": "factor-rsa-2048-shor",
    "source": "statement",
    "statement": "Factor RSA-2048 with Shor",
    "status": "blocked",
    "reason": "algorithm.N is bounded to [3, 21] by its schema; the statement asks for rsa-2048; fault-tolerant-design.N is bounded to [3, 21] by its schema; the statement asks for rsa-2048 (shor: the modulus)"
  }
}

audit · audit-self

The MCP surface audits itself: every check passes.

{"name":"audit","arguments":{}}

✓ as expected

audit · The surface audits itself through tools/call: every tool has a schema and an example, every documented example replays as documented, every served lead names a served tool, and the error paths answer as JSON-RPC requires. Each check carries its evidence; a failed check is a lead, not a ruling.

Checks

710

Passed

710

Failed

0

Tools

41

Examples

85

Leads

2700

Check	Result	Evidence
initialize	✓	{"name":"qpu","version":"1.4.0","license":"CC-BY-NC-ND-4.0","author":"Tsvetan Rouschev"}
license:initialize	✓	serverInfo.license and instructions carry the licence
tools/list	✓	41 tools
schema:processor	✓	1 properties, 1 required
covered:processor	✓	2 example(s)
schema:circuit	✓	8 properties, 1 required
covered:circuit	✓	3 example(s)
schema:echo	✓	2 properties, 1 required
covered:echo	✓	1 example(s)
schema:echo_benchmark	✓	0 properties, 0 required
covered:echo_benchmark	✓	1 example(s)
schema:roadmap	✓	1 properties, 0 required
covered:roadmap	✓	2 example(s)
schema:algorithm	✓	13 properties, 1 required
covered:algorithm	✓	6 example(s)
schema:software	✓	0 properties, 0 required
covered:software	✓	1 example(s)
schema:statements	✓	1 properties, 0 required
covered:statements	✓	1 example(s)
schema:repositories	✓	1 properties, 0 required
covered:repositories	✓	1 example(s)
schema:quantumlib	✓	1 properties, 0 required
covered:quantumlib	✓	1 example(s)
schema:quantum-error-correction	✓	5 properties, 0 required
covered:quantum-error-correction	✓	1 example(s)
schema:chemistry-simulation	✓	3 properties, 0 required
covered:chemistry-simulation	✓	1 example(s)
schema:fault-tolerant-design	✓	5 properties, 0 required
covered:fault-tolerant-design	✓	1 example(s)
schema:leads	✓	1 properties, 0 required
covered:leads	✓	1 example(s)
schema:audit	✓	0 properties, 0 required
covered:audit	✓	1 example(s)
schema:match	✓	2 properties, 1 required
covered:match	✓	7 example(s)
schema:clay	✓	3 properties, 0 required
covered:clay	✓	3 example(s)
schema:verify	✓	5 properties, 1 required
covered:verify	✓	3 example(s)
schema:metrics	✓	1 properties, 0 required
covered:metrics	✓	1 example(s)
schema:textbook	✓	5 properties, 0 required
covered:textbook	✓	2 example(s)
schema:css	✓	1 properties, 0 required
covered:css	✓	1 example(s)
schema:dashboard	✓	3 properties, 0 required
covered:dashboard	✓	3 example(s)
schema:clone	✓	2 properties, 0 required
covered:clone	✓	1 example(s)
schema:discover	✓	6 properties, 0 required
covered:discover	✓	2 example(s)
schema:wave	✓	4 properties, 0 required
covered:wave	✓	1 example(s)
schema:readiness	✓	8 properties, 0 required
covered:readiness	✓	1 example(s)
schema:imagine	✓	3 properties, 0 required
covered:imagine	✓	1 example(s)
schema:e2e	✓	4 properties, 0 required
covered:e2e	✓	1 example(s)
schema:translate	✓	4 properties, 0 required
covered:translate	✓	2 example(s)
schema:prose	✓	4 properties, 1 required
covered:prose	✓	1 example(s)
schema:mongo	✓	9 properties, 0 required
covered:mongo	✓	2 example(s)
schema:stripe	✓	16 properties, 0 required
covered:stripe	✓	3 example(s)
schema:legal	✓	7 properties, 0 required
covered:legal	✓	2 example(s)
schema:repository	✓	5 properties, 0 required
covered:repository	✓	1 example(s)
schema:jsonld	✓	12 properties, 0 required
covered:jsonld	✓	2 example(s)
schema:codes	✓	3 properties, 0 required
covered:codes	✓	1 example(s)
schema:payload	✓	13 properties, 0 required
covered:payload	✓	6 example(s)
schema:configure	✓	7 properties, 0 required
covered:configure	✓	8 example(s)
schema:extend	✓	6 properties, 0 required
covered:extend	✓	4 example(s)
schema:fold	✓	7 properties, 0 required
covered:fold	✓	1 example(s)
schema:seal	✓	3 properties, 1 required
covered:seal	✓	1 example(s)
example-tool:discover-lead-registry	✓	discover
license:discover-lead-registry	✓	result, widget and block carry the licence
css-vars:discover-lead-registry	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:discover-lead-registry	✓	images named, tables headed, links worded, a heading present
example:discover-lead-registry	✓	Leads first: a lead's distinctive words asked of the public MCP registry (registry.modelcontextprotocol.io) before any guess about which MCP serves it; the client fetches, and the answers name the related servers and the request that extends each through qpu.
example-tool:discover-requests	✓	discover
license:discover-requests	✓	result, widget and block carry the licence
css-vars:discover-requests	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:discover-requests	✓	images named, tables headed, links worded, a heading present
example:discover-requests	✓	Phase one of discovery: the requests a client makes for every contract — the unit's tools/list, its catalogue door, its well-known file, and the verifiers' contract documents.
example-tool:wave-requests	✓	wave
license:wave-requests	✓	result, widget and block carry the licence
css-vars:wave-requests	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:wave-requests	✓	images named, tables headed, links worded, a heading present
example:wave-requests	✓	Phase one of the wave: the requests two leads need, once per URL, each naming the leads it serves.
example-tool:readiness-plan	✓	readiness
license:readiness-plan	✓	result, widget and block carry the licence
css-vars:readiness-plan	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:readiness-plan	✓	images named, tables headed, links worded, a heading present
example:readiness-plan	✓	Phase one of readiness without measurements: every lead judged (served by its tool, refuted by declaration, or in trial), the sources for the unit, an empty border plan because nothing was discovered, and the unit plan.
example-tool:e2e-requests	✓	e2e
license:e2e-requests	✓	result, widget and block carry the licence
css-vars:e2e-requests	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:e2e-requests	✓	images named, tables headed, links worded, a heading present
example:e2e-requests	✓	Phase one of the end-to-end gate for three tools: every dashboard cell and every example of theirs as a tools/call request to one host, each carrying the hash of the tree's own answer; without tools, every tool's.
example-tool:imagine-two	✓	imagine
license:imagine-two	✓	result, widget and block carry the licence
css-vars:imagine-two	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:imagine-two	✓	images named, tables headed, links worded, a heading present
example:imagine-two	✓	Two leads imagined: one served by the processor tool, one blocked (a 404), plus the leads every schema and application family open.
example-tool:translate-bg	✓	translate
license:translate-bg	✓	result, widget and block carry the licence
css-vars:translate-bg	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:translate-bg	✓	images named, tables headed, links worded, a heading present
example:translate-bg	✓	English to Bulgarian by vocabulary: the labels and verdicts translate; a word with no entry stays and is reported.
example-tool:translate-coverage	✓	translate
license:translate-coverage	✓	result, widget and block carry the licence
css-vars:translate-coverage	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:translate-coverage	✓	images named, tables headed, links worded, a heading present
example:translate-coverage	✓	The vocabulary measured: for every locale, which surface terms have no entry — the leads of the tables, updated from measurement.
example-tool:prose-clay-bg	✓	prose
license:prose-clay-bg	✓	result, widget and block carry the licence
css-vars:prose-clay-bg	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:prose-clay-bg	✓	images named, tables headed, links worded, a heading present
example:prose-clay-bg	✓	Programmable prose in Bulgarian from the clay tool's answer and the tree toolbox's skill: the numbers are the tool's, the words the vocabulary's, the rest reported.
example-tool:mongo-find	✓	mongo
license:mongo-find	✓	result, widget and block carry the licence
css-vars:mongo-find	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:mongo-find	✓	images named, tables headed, links worded, a heading present
example:mongo-find	✓	A Mongo filter over documents read from the docket: operators, array membership, sort; the match is computed here, the storage is the docket.
example-tool:mongo-update	✓	mongo
license:mongo-update	✓	result, widget and block carry the licence
css-vars:mongo-update	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:mongo-update	✓	images named, tables headed, links worded, a heading present
example:mongo-update	✓	An update computed as a new document and a new entry linked to the one it replaces: entries are immutable and content-addressed, so history is kept.
example-tool:stripe-plan	✓	stripe
license:stripe-plan	✓	result, widget and block carry the licence
css-vars:stripe-plan	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:stripe-plan	✓	images named, tables headed, links worded, a heading present
example:stripe-plan	✓	A checkout plan for a yearly commercial licence of acme on two domains, bought at tenant psg: the form Stripe takes, the metadata the webhook brings back, the tenant secret the Worker alone holds.
example-tool:stripe-catalogue	✓	stripe
license:stripe-catalogue	✓	result, widget and block carry the licence
css-vars:stripe-catalogue	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:stripe-catalogue	✓	images named, tables headed, links worded, a heading present
example:stripe-catalogue	✓	The QPU as a product line for tenant uuidna: seven variants over five products, each a Stripe price form in two currencies, the a432 default at zero.
example-tool:stripe-webhook	✓	stripe
license:stripe-webhook	✓	result, widget and block carry the licence
css-vars:stripe-webhook	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:stripe-webhook	✓	images named, tables headed, links worded, a heading present
example:stripe-webhook	✓	A checkout completed at tenant psg, its signature verified with psg's webhook secret, read into one licence entry granting acme on both domains.
example-tool:legal-audit-offline	✓	legal
license:legal-audit-offline	✓	result, widget and block carry the licence
css-vars:legal-audit-offline	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:legal-audit-offline	✓	images named, tables headed, links worded, a heading present
example:legal-audit-offline	✓	Phase two with no answers (offline): the claims, the tree's security checks, and the audit's own content address over the SHA-256 of every input — change a source and the address changes.
example-tool:legal-plan	✓	legal
license:legal-plan	✓	result, widget and block carry the licence
css-vars:legal-plan	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:legal-plan	✓	images named, tables headed, links worded, a heading present
example:legal-plan	✓	Phase one on fixture texts and a three-door discovery: the claims gathered (licence, author, metadata, measured table, perspectives), the tree's security checks, and the plan — one forensics call per claim, the rights and security doors once, free by default.
example-tool:repository-watch	✓	repository
license:repository-watch	✓	result, widget and block carry the licence
css-vars:repository-watch	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:repository-watch	✓	images named, tables headed, links worded, a heading present
example:repository-watch	✓	Fixture facts against fixture answers: two local branches unpushed, one remote branch not here, a local tag not pushed, a remote tag not fetched, a moved tag, a release whose tag is gone, a version with a tag and no release, a Zenodo version without a release, a second workspace: ten leads.
example-tool:jsonld-block	✓	jsonld
license:jsonld-block	✓	result, widget and block carry the licence
css-vars:jsonld-block	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:jsonld-block	✓	images named, tables headed, links worded, a heading present
example:jsonld-block	✓	A block as schema.org JSON-LD: a CreativeWork of the SoftwareApplication, the author a Person with an ORCID, the licence a URL, the date ISO 8601.
example-tool:jsonld-catalogue	✓	jsonld
license:jsonld-catalogue	✓	result, widget and block carry the licence
css-vars:jsonld-catalogue	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:jsonld-catalogue	✓	images named, tables headed, links worded, a heading present
example:jsonld-catalogue	✓	The whole catalogue as an OfferCatalog of Offers priced in ISO 4217 EUR, each a UnitPriceSpecification by month or year where recurring.
example-tool:codes-plan	✓	codes
license:codes-plan	✓	result, widget and block carry the licence
css-vars:codes-plan	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:codes-plan	✓	images named, tables headed, links worded, a heading present
example:codes-plan	✓	What the codes tool would validate and where the CLDR lists are: eleven locales, three currencies, the tenants' countries.
example-tool:configure-versions	✓	configure
license:configure-versions	✓	result, widget and block carry the licence
css-vars:configure-versions	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:configure-versions	✓	images named, tables headed, links worded, a heading present
example:configure-versions	✓	Versions define development and development defines versions: the current version from its single source, the next number from what the catalogue changed since the last tag (tools added: the minor digit carries), kept to single digits with a build address, the open leads as the version's plan, Payload's versioning over the RAID (every version an entry, never overwritten, no cap).
example-tool:configure-migration	✓	configure
license:configure-migration	✓	result, widget and block carry the licence
css-vars:configure-migration	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:configure-migration	✓	images named, tables headed, links worded, a heading present
example:configure-migration	✓	A provider added or moved at 100 % uptime: deploy beside, mirror the docket by address, decode old and new as copies through the gate, route, and the rollback is the earlier version still answering.
example-tool:configure-api	✓	configure
license:configure-api	✓	result, widget and block carry the licence
css-vars:configure-api	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:configure-api	✓	images named, tables headed, links worded, a heading present
example:configure-api	✓	The QPU's API overview as data, the way platform.claude.com's overview is one for the Claude API: one MCP endpoint and every surface around it, the headers, the authorization (none for every pure tool), the content addressing and its involution, the tools by toolbox, the MCP connector for Claude and for any client, quick tests, limits and errors; docs/api.md is written from it.
example-tool:configure-fullstack	✓	configure
license:configure-fullstack	✓	result, widget and block carry the licence
css-vars:configure-fullstack	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:configure-fullstack	✓	images named, tables headed, links worded, a heading present
example:configure-fullstack	✓	QPU's full stack from the source of payloadcms.com (MIT): its twelve collections, thirty blocks, globals and fields kept, the qpu block added, search, multi-tenant and mcp added to its four plugins, the database the RAID, storage and deploy at Cloudflare; two source files and a README generated for the fork.
example-tool:configure-all	✓	configure
license:configure-all	✓	result, widget and block carry the licence
css-vars:configure-all	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:configure-all	✓	images named, tables headed, links worded, a heading present
example:configure-all	✓	Every configuration MCP computes, tested around the torus: Payload's plugins, the Worker, the tenants' variable names, the manifest, the registration, the versions, the migration, the full stack; each with its address, seed, reflection and trinity, every loop closed.
example-tool:configure-payload	✓	configure
license:configure-payload	✓	result, widget and block carry the licence
css-vars:configure-payload	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:configure-payload	✓	images named, tables headed, links worded, a heading present
example:configure-payload	✓	Payload configured by MCP: eight default plugins over the one pages collection, the lexical block qpu with its UUID logic fields, the tenants in multi-tenant, 256 combinations.
example-tool:configure-wrangler-drift	✓	configure
license:configure-wrangler-drift	✓	result, widget and block carry the licence
css-vars:configure-wrangler-drift	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:configure-wrangler-drift	✓	images named, tables headed, links worded, a heading present
example:configure-wrangler-drift	✓	The Worker configuration compared to a text a client holds: every differing path is a lead, nothing is rewritten by the tool.
example-tool:configure-tenant-missing	✓	configure
license:configure-tenant-missing	✓	result, widget and block carry the licence
css-vars:configure-tenant-missing	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:configure-tenant-missing	✓	images named, tables headed, links worded, a heading present
example:configure-tenant-missing	✓	Each tenant's variable names and which an environment lacks: Stripe keys and the Cloudflare MCP tokens are the operator's to set; values never travel.
example-tool:payload-theorems-plan	✓	payload
license:payload-theorems-plan	✓	result, widget and block carry the licence
css-vars:payload-theorems-plan	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:payload-theorems-plan	✓	images named, tables headed, links worded, a heading present
example:payload-theorems-plan	✓	The textbook's axioms replaced by theorems through the Payload MCP plugin, as a client: the endpoint, the authorization the tenant sends, the tools/list request, and the steps — the find and update doors picked by what they take, every qpu block without a theorem given the kernel-accepted key its example names.
example-tool:payload-theorems-update	✓	payload
license:payload-theorems-update	✓	result, widget and block carry the licence
css-vars:payload-theorems-update	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:payload-theorems-update	✓	images named, tables headed, links worded, a heading present
example:payload-theorems-update	✓	With the Payload MCP's answers: the find and update doors recognised by what they take, two pages read, one qpu block without a theorem given textbook_plugin_combinations (the example configure-payload), one already naming its theorem left as it is; one update request emitted.
example-tool:payload-website	✓	payload
license:payload-website	✓	result, widget and block carry the licence
css-vars:payload-website	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:payload-website	✓	images named, tables headed, links worded, a heading present
example:payload-website	✓	The source of payloadcms.com (github.com/payloadcms/website, MIT) read as a tree: twelve collections, thirty blocks, seven globals, ten fields, its own opsCounter plugin, and the four default plugins its config mounts; the live page's block types contentGrid and cta have their blocks in the source — the site is what Payload computes, verified.
example-tool:payload-skills	✓	payload
license:payload-skills	✓	result, widget and block carry the licence
css-vars:payload-skills	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:payload-skills	✓	images named, tables headed, links worded, a heading present
example:payload-skills	✓	Payload's skills for agents (github.com/payloadcms/skills) read as a tree: two skills, payload and cms-migration, their fourteen references, each mapped to the tool of this tree that enacts it; names and paths as facts, no text carried.
example-tool:payload-site	✓	payload
license:payload-site	✓	result, widget and block carry the licence
css-vars:payload-site	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:payload-site	✓	images named, tables headed, links worded, a heading present
example:payload-site	✓	The site as its own use cases, as payloadcms.com is built of what Payload computes: every toolbox a use case, every example a page document in Payload's pages shape (layout blocks, meta, breadcrumbs) at its live /u address.
example-tool:payload-doc	✓	payload
license:payload-doc	✓	result, widget and block carry the licence
css-vars:payload-doc	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:payload-doc	✓	images named, tables headed, links worded, a heading present
example:payload-doc	✓	The clay result as a Payload document: a lexical root with a heading, one qpu block of UUID logic and the licence paragraph; nested under its referer; the SEO fields from the block's Open Graph.
example-tool:extend-out	✓	extend
license:extend-out	✓	result, widget and block carry the licence
css-vars:extend-out	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:extend-out	✓	images named, tables headed, links worded, a heading present
example:extend-out	✓	This catalogue as the registration any MCP client mounts: every tool as tools/list serves it, grouped by toolbox, at this tree's own endpoint; and as the Claude API mounts it, through the Messages API's MCP connector (mcp_servers with the mcp_toolset, beta mcp-client-2025-11-20), the tenant's key in the request.
example-tool:extend-in-request	✓	extend
license:extend-in-request	✓	result, widget and block carry the licence
css-vars:extend-in-request	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:extend-in-request	✓	images named, tables headed, links worded, a heading present
example:extend-in-request	✓	Without the host's tools: the one tools/list request the client makes of Cloudflare's documentation server (no token needed there), and the integration matrix: every MCP this tree knows, its token name and what the tree does with it once open (GitHub → the repository watch through its doors; Cloudflare's eight → the verifier, the mirrors, the metrics, the wave, the audit, the prose, the tenants, the textbook; the Claude API → the operator agent, and outward the Messages API registration that mounts this catalogue).
example-tool:extend-in-docs	✓	extend
license:extend-in-docs	✓	result, widget and block carry the licence
css-vars:extend-in-docs	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:extend-in-docs	✓	images named, tables headed, links worded, a heading present
example:extend-in-docs	✓	Cloudflare's documentation server read into this catalogue: one door, docs.mcp.cloudflare.com:search_cloudflare_documentation, taking a query.
example-tool:extend-call-served	✓	extend
license:extend-call-served	✓	result, widget and block carry the licence
css-vars:extend-call-served	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:extend-call-served	✓	images named, tables headed, links worded, a heading present
example:extend-call-served	✓	A foreign door served and its event-stream answer read back into the text the host returned.
example-tool:fold-ledger	✓	fold
license:fold-ledger	✓	result, widget and block carry the licence
css-vars:fold-ledger	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:fold-ledger	✓	images named, tables headed, links worded, a heading present
example:fold-ledger	✓	A forty-row ledger folded under a bound of 600 bytes: the pieces, each with its address, SHA-256 and key range, the root over them, the mirror piece of each across the fold, and the one piece the key k27 sits in — decided by comparisons, the whole never read for it.
example-tool:seal-text	✓	seal
license:seal-text	✓	result, widget and block carry the licence
css-vars:seal-text	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:seal-text	✓	images named, tables headed, links worded, a heading present
example:seal-text	✓	SHA-256, the HMAC under a test key and the fold address of one text, the same at every host.
example-tool:textbook-categories	✓	textbook
license:textbook-categories	✓	result, widget and block carry the licence
css-vars:textbook-categories	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:textbook-categories	✓	images named, tables headed, links worded, a heading present
example:textbook-categories	✓	The textbook as an adapter: every example categorised for reuse by toolbox, tool, theorem and module; the categories are computed, never written.
example-tool:textbook-reuse	✓	textbook
license:textbook-reuse	✓	result, widget and block carry the licence
css-vars:textbook-reuse	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:textbook-reuse	✓	images named, tables headed, links worded, a heading present
example:textbook-reuse	✓	One example reused by id: replayed, its result returned, as documented.
example-tool:vortex-trinity	✓	verify
license:vortex-trinity	✓	result, widget and block carry the licence
css-vars:vortex-trinity	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:vortex-trinity	✓	images named, tables headed, links worded, a heading present
example:vortex-trinity	✓	The 9-vortex of a UUID read whole: the seed, its reflection under σ_10, the trinity it belongs to and the trinity it reflects into at the same time (3, 6, 9 ↔ 7, 4, 1; 2, 5, 8 into itself), and whether it sits in the key's trinity; stated by the kernel as triad_reflect.
example-tool:css-stylesheet	✓	css
license:css-stylesheet	✓	result, widget and block carry the licence
css-vars:css-stylesheet	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:css-stylesheet	✓	images named, tables headed, links worded, a heading present
example:css-stylesheet	✓	The UI as CSS: the stylesheet from the key 432 with the rules that draw every block from its own custom properties, and the thirteen variables one UUID sets on its block root, its vortex seed and the seed's reflection summing to 10; no script anywhere.
example-tool:dashboard-processor	✓	dashboard
license:dashboard-processor	✓	result, widget and block carry the licence
css-vars:dashboard-processor	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:dashboard-processor	✓	images named, tables headed, links worded, a heading present
example:dashboard-processor	✓	The processor tool laid out whole: its one facet (three devices) and the three combinations, each a final cell drawn by its own UUID with a link to its walk page, so the click is the decision.
example-tool:dashboard-algorithm-narrowed	✓	dashboard
license:dashboard-algorithm-narrowed	✓	result, widget and block carry the licence
css-vars:dashboard-algorithm-narrowed	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:dashboard-algorithm-narrowed	✓	images named, tables headed, links worded, a heading present
example:dashboard-algorithm-narrowed	✓	The algorithm tool with its name fixed to shor: the space of every combination counted whole, and the next facet open as cells that narrow it further, until one combination remains and its cell is the walk.
example-tool:dashboard-index	✓	dashboard
license:dashboard-index	✓	result, widget and block carry the licence
css-vars:dashboard-index	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:dashboard-index	✓	images named, tables headed, links worded, a heading present
example:dashboard-index	✓	Every tool with the size of its input space: how many combinations its enumerable facets admit, which properties stay free, and the address of its own dashboard.
example-tool:clone-language	✓	clone
license:clone-language	✓	result, widget and block carry the licence
css-vars:clone-language	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:clone-language	✓	images named, tables headed, links worded, a heading present
example:clone-language	✓	The language toolbox cloned whole under a new name: its two tools with their schemas, its instructions, directions and examples, its selftest run now; the quantum state is never cloned, its classical description is.
example-tool:metrics-live	✓	metrics
license:metrics-live	✓	result, widget and block carry the licence
css-vars:metrics-live	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:metrics-live	✓	images named, tables headed, links worded, a heading present
example:metrics-live	✓	The tree's metrics computed now: tools, toolboxes, examples and how many a theorem backs, the kernel's counts, leads by status, the audit, the balancer.
example-tool:processor-willow	✓	processor
license:processor-willow	✓	result, widget and block carry the licence
css-vars:processor-willow	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:processor-willow	✓	images named, tables headed, links worded, a heading present
example:processor-willow	✓	How many qubits Willow has, as its spec sheet states it: 105, with average connectivity 3.47.
example-tool:processor-sycamore	✓	processor
license:processor-sycamore	✓	result, widget and block carry the licence
css-vars:processor-sycamore	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:processor-sycamore	✓	images named, tables headed, links worded, a heading present
example:processor-sycamore	✓	Sycamore from its printed diagram: 54 qubits and 88 couplers, derived and stated.
example-tool:circuit-hadamard-amplitudes	✓	circuit
license:circuit-hadamard-amplitudes	✓	result, widget and block carry the licence
css-vars:circuit-hadamard-amplitudes	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:circuit-hadamard-amplitudes	✓	images named, tables headed, links worded, a heading present
example:circuit-hadamard-amplitudes	✓	A Hadamard gives two amplitudes of 1/√2.
example-tool:circuit-hadamard-sampled	✓	circuit
license:circuit-hadamard-sampled	✓	result, widget and block carry the licence
css-vars:circuit-hadamard-sampled	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:circuit-hadamard-sampled	✓	images named, tables headed, links worded, a heading present
example:circuit-hadamard-sampled	✓	The same circuit measured: 400 bitstrings, each 0 or 1, in a histogram.
example-tool:circuit-bit-flip-noise	✓	circuit
license:circuit-bit-flip-noise	✓	result, widget and block carry the licence
css-vars:circuit-bit-flip-noise	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:circuit-bit-flip-noise	✓	images named, tables headed, links worded, a heading present
example:circuit-bit-flip-noise	✓	An X gate under a bit-flip channel of p = 0.1 on the density matrix: probability 0.1 of reading 0, purity 0.1² + 0.9² = 0.82. Noise does not sample; it returns the mixed state.
example-tool:echo-returns	✓	echo
license:echo-returns	✓	result, widget and block carry the licence
css-vars:echo-returns	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:echo-returns	✓	images named, tables headed, links worded, a heading present
example:echo-returns	✓	H forward, Z, H back is X: the echo is destroyed, so the return probability is 0.
example-tool:echo-benchmark	✓	echo_benchmark
license:echo-benchmark	✓	result, widget and block carry the licence
css-vars:echo-benchmark	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:echo-benchmark	✓	images named, tables headed, links worded, a heading present
example:echo-benchmark	✓	Quantum Echoes as Google states it: Willow, 105 qubits, the 13,000× figure (Google's, not this tree's).
example-tool:roadmap-all	✓	roadmap
license:roadmap-all	✓	result, widget and block carry the licence
css-vars:roadmap-all	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:roadmap-all	✓	images named, tables headed, links worded, a heading present
example:roadmap-all	✓	The six roadmap milestones and the four application bands.
example-tool:roadmap-milestone-3	✓	roadmap
license:roadmap-milestone-3	✓	result, widget and block carry the licence
css-vars:roadmap-milestone-3	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:roadmap-milestone-3	✓	images named, tables headed, links worded, a heading present
example:roadmap-milestone-3	✓	One milestone by number.
example-tool:algorithm-shor-15	✓	algorithm
license:algorithm-shor-15	✓	result, widget and block carry the licence
css-vars:algorithm-shor-15	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:algorithm-shor-15	✓	images named, tables headed, links worded, a heading present
example:algorithm-shor-15	✓	Shor's circuit on the state-vector simulator: order 4 and factors 3 × 5 for N = 15, a = 7.
example-tool:algorithm-qft-3	✓	algorithm
license:algorithm-qft-3	✓	result, widget and block carry the licence
css-vars:algorithm-qft-3	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:algorithm-qft-3	✓	images named, tables headed, links worded, a heading present
example:algorithm-qft-3	✓	The QFT of |5⟩ on three qubits: eight amplitudes of equal magnitude.
example-tool:algorithm-grover	✓	algorithm
license:algorithm-grover	✓	result, widget and block carry the licence
css-vars:algorithm-grover	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:algorithm-grover	✓	images named, tables headed, links worded, a heading present
example:algorithm-grover	✓	Grover on two qubits finds the marked |00⟩ with certainty.
example-tool:algorithm-teleportation	✓	algorithm
license:algorithm-teleportation	✓	result, widget and block carry the licence
css-vars:algorithm-teleportation	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:algorithm-teleportation	✓	images named, tables headed, links worded, a heading present
example:algorithm-teleportation	✓	Teleportation: the received state matches the message on X, Y and Z.
example-tool:algorithm-phase-estimation	✓	algorithm
license:algorithm-phase-estimation	✓	result, widget and block carry the licence
css-vars:algorithm-phase-estimation	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:algorithm-phase-estimation	✓	images named, tables headed, links worded, a heading present
example:algorithm-phase-estimation	✓	Phase estimation reads θ = 0.25 exactly in three bits.
example-tool:algorithm-qaoa	✓	algorithm
license:algorithm-qaoa	✓	result, widget and block carry the licence
css-vars:algorithm-qaoa	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:algorithm-qaoa	✓	images named, tables headed, links worded, a heading present
example:algorithm-qaoa	✓	QAOA on the Cirq page's instance, sampled from the state's probabilities.
example-tool:software	✓	software
license:software	✓	result, widget and block carry the licence
css-vars:software	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:software	✓	images named, tables headed, links worded, a heading present
example:software	✓	The Software page tools; only Cirq is implemented here.
example-tool:statements-cirq	✓	statements
license:statements-cirq	✓	result, widget and block carry the licence
css-vars:statements-cirq	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:statements-cirq	✓	images named, tables headed, links worded, a heading present
example:statements-cirq	✓	One statement by topic.
example-tool:repositories	✓	repositories
license:repositories	✓	result, widget and block carry the licence
css-vars:repositories	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:repositories	✓	images named, tables headed, links worded, a heading present
example:repositories	✓	The fifteen quantumlib repositories.
example-tool:leads-all	✓	leads
license:leads-all	✓	result, widget and block carry the licence
css-vars:leads-all	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:leads-all	✓	images named, tables headed, links worded, a heading present
example:leads-all	✓	Every lead with its status; the counts add up to the total.
example-tool:qec-bit-flip-0.1	✓	quantum-error-correction
license:qec-bit-flip-0.1	✓	result, widget and block carry the licence
css-vars:qec-bit-flip-0.1	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:qec-bit-flip-0.1	✓	images named, tables headed, links worded, a heading present
example:qec-bit-flip-0.1	✓	The three-qubit repetition code on the density matrix at p = 0.1: logical error 3p² − 2p³ = 0.028, below the raw 0.1.
example-tool:chemistry-h2	✓	chemistry-simulation
license:chemistry-h2	✓	result, widget and block carry the licence
css-vars:chemistry-h2	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:chemistry-h2	✓	images named, tables headed, links worded, a heading present
example:chemistry-h2	✓	H₂ in STO-3G at 0.7414 Å: the Hartree–Fock energy from the simulator is −1.1167 Ha and the variational minimum lies below it near −1.137 Ha.
example-tool:ftqc-all	✓	fault-tolerant-design
license:ftqc-all	✓	result, widget and block carry the licence
css-vars:ftqc-all	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:ftqc-all	✓	images named, tables headed, links worded, a heading present
example:ftqc-all	✓	Resource counts read from six circuits this tree builds; one Toffoli costs 7 T gates by the cited decomposition.
example-tool:quantumlib-cirq	✓	quantumlib
license:quantumlib-cirq	✓	result, widget and block carry the licence
css-vars:quantumlib-cirq	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:quantumlib-cirq	✓	images named, tables headed, links worded, a heading present
example:quantumlib-cirq	✓	What this tree implements of Cirq, as a cross-reference of its exports.
example-tool:clay-register	✓	clay
license:clay-register	✓	result, widget and block carry the licence
css-vars:clay-register	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:clay-register	✓	images named, tables headed, links worded, a heading present
example:clay-register	✓	The 54 Clay relations recomputed in exact integer arithmetic: all hold, the widest value needs 33 bits (amplitudes = 2^32), three 16-bit limbs on an 8-bit machine.
example-tool:clay-reflection	✓	clay
license:clay-reflection	✓	result, widget and block carry the licence
css-vars:clay-reflection	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:clay-reflection	✓	images named, tables headed, links worded, a heading present
example:clay-reflection	✓	The register read by the technique: every relation's value as a vortex seed with its σ_10 reflection and both trinities, the relations whose seeds reflect each other paired, the fixed ones (seed 5) and the ones in the key's trinity named, and the plan to ask the unit's sequence door every value.
example-tool:clay-relation-15	✓	clay
license:clay-relation-15	✓	result, widget and block carry the licence
css-vars:clay-relation-15	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:clay-relation-15	✓	images named, tables headed, links worded, a heading present
example:clay-relation-15	✓	One relation: magicBlock = glProd hexbit seed = qftDepth vertices = 15.
example-tool:verify-seal-and-content	✓	verify
license:verify-seal-and-content	✓	result, widget and block carry the licence
css-vars:verify-seal-and-content	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:verify-seal-and-content	✓	images named, tables headed, links worded, a heading present
example:verify-seal-and-content	✓	One UUID checked cheaply: its seal from its own 31 nibbles, and its content by one fold.
example-tool:verify-tampered	✓	verify
license:verify-tampered	✓	result, widget and block carry the licence
css-vars:verify-tampered	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:verify-tampered	✓	images named, tables headed, links worded, a heading present
example:verify-tampered	✓	A UUID with one nibble changed: the content-decided version no longer agrees, and no content was needed to see it.
example-tool:match-willow	✓	match
license:match-willow	✓	result, widget and block carry the licence
css-vars:match-willow	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:match-willow	✓	images named, tables headed, links worded, a heading present
example:match-willow	✓	Any statement, matched: this one is served by the processor tool.
example-tool:match-glagolitic	✓	match
license:match-glagolitic	✓	result, widget and block carry the licence
css-vars:match-glagolitic	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:match-glagolitic	✓	images named, tables headed, links worded, a heading present
example:match-glagolitic	✓	A Glagolitic numeral read as the integer 15 before the match: served by the algorithm tool, factored 3 × 5 in the reflection.
example-tool:match-bulgarian	✓	match
license:match-bulgarian	✓	result, widget and block carry the licence
css-vars:match-bulgarian	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:match-bulgarian	✓	images named, tables headed, links worded, a heading present
example:match-bulgarian	✓	A statement in Bulgarian with a Glagolitic numeral, translated by vocabulary offline, matched, and answered with its verdict in Bulgarian.
example-tool:match-theorem-first	✓	match
license:match-theorem-first	✓	result, widget and block carry the licence
css-vars:match-theorem-first	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:match-theorem-first	✓	images named, tables headed, links worded, a heading present
example:match-theorem-first	✓	Solved first by the QPU textbook: the statement names a kernel-accepted theorem, so it is served by that theorem, proven, before any tool is called.
example-tool:match-pattern-uuid	✓	match
license:match-pattern-uuid	✓	result, widget and block carry the licence
css-vars:match-pattern-uuid	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:match-pattern-uuid	✓	images named, tables headed, links worded, a heading present
example:match-pattern-uuid	✓	Pattern recognition: a UUID in the statement opens the verify door before any token match; the match names the pattern and carries the verification.
example-tool:match-pattern-dashboard	✓	match
license:match-pattern-dashboard	✓	result, widget and block carry the licence
css-vars:match-pattern-dashboard	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:match-pattern-dashboard	✓	images named, tables headed, links worded, a heading present
example:match-pattern-dashboard	✓	Pattern recognition: "dashboard of <tool>" lays the tool out whole.
example-tool:match-rsa-2048	✓	match
license:match-rsa-2048	✓	result, widget and block carry the licence
css-vars:match-rsa-2048	✓	the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it
accessibility:match-rsa-2048	✓	images named, tables headed, links worded, a heading present
example:match-rsa-2048	✓	Any statement, proved impossible from the schema: algorithm.N is bounded to 21; the cluster names what is served instead.
example-tool:audit-self	✓	audit
toolbox:processor	✓	in google
toolbox:circuit	✓	in google
toolbox:echo	✓	in google
toolbox:echo_benchmark	✓	in google
toolbox:roadmap	✓	in google
toolbox:algorithm	✓	in google
toolbox:software	✓	in google
toolbox:statements	✓	in google
toolbox:repositories	✓	in google
toolbox:quantumlib	✓	in google
toolbox:quantum-error-correction	✓	in google
toolbox:chemistry-simulation	✓	in google
toolbox:fault-tolerant-design	✓	in google
toolbox:leads	✓	in tree
toolbox:audit	✓	in tree
toolbox:match	✓	in tree
toolbox:clay	✓	in tree
toolbox:verify	✓	in tree
toolbox:metrics	✓	in tree
toolbox:textbook	✓	in tree
toolbox:css	✓	in tree
toolbox:dashboard	✓	in tree
toolbox:clone	✓	in tree
toolbox:discover	✓	in flow
toolbox:wave	✓	in flow
toolbox:readiness	✓	in flow
toolbox:imagine	✓	in flow
toolbox:e2e	✓	in flow
toolbox:translate	✓	in language
toolbox:prose	✓	in language
toolbox:mongo	✓	in raid
toolbox:stripe	✓	in billing
toolbox:legal	✓	in legal
toolbox:repository	✓	in repository
toolbox:jsonld	✓	in standards
toolbox:codes	✓	in standards
toolbox:payload	✓	in payload
toolbox:configure	✓	in payload
toolbox:extend	✓	in extension
toolbox:fold	✓	in crypto
toolbox:seal	✓	in crypto
selftest:google:google:processor-willow	✓	How many qubits Willow has, as its spec sheet states it: 105, with average connectivity 3.47.
selftest:google:google:processor-sycamore	✓	Sycamore from its printed diagram: 54 qubits and 88 couplers, derived and stated.
selftest:google:google:circuit-hadamard-amplitudes	✓	A Hadamard gives two amplitudes of 1/√2.
selftest:google:google:circuit-hadamard-sampled	✓	The same circuit measured: 400 bitstrings, each 0 or 1, in a histogram.
selftest:google:google:circuit-bit-flip-noise	✓	An X gate under a bit-flip channel of p = 0.1 on the density matrix: probability 0.1 of reading 0, purity 0.1² + 0.9² = 0.82. Noise does not sample; it returns the mixed state.
selftest:google:google:echo-returns	✓	H forward, Z, H back is X: the echo is destroyed, so the return probability is 0.
selftest:google:google:echo-benchmark	✓	Quantum Echoes as Google states it: Willow, 105 qubits, the 13,000× figure (Google's, not this tree's).
selftest:google:google:roadmap-all	✓	The six roadmap milestones and the four application bands.
selftest:google:google:roadmap-milestone-3	✓	One milestone by number.
selftest:google:google:algorithm-shor-15	✓	Shor's circuit on the state-vector simulator: order 4 and factors 3 × 5 for N = 15, a = 7.
selftest:google:google:algorithm-qft-3	✓	The QFT of |5⟩ on three qubits: eight amplitudes of equal magnitude.
selftest:google:google:algorithm-grover	✓	Grover on two qubits finds the marked |00⟩ with certainty.
selftest:google:google:algorithm-teleportation	✓	Teleportation: the received state matches the message on X, Y and Z.
selftest:google:google:algorithm-phase-estimation	✓	Phase estimation reads θ = 0.25 exactly in three bits.
selftest:google:google:algorithm-qaoa	✓	QAOA on the Cirq page's instance, sampled from the state's probabilities.
selftest:google:google:software	✓	The Software page tools; only Cirq is implemented here.
selftest:google:google:statements-cirq	✓	One statement by topic.
selftest:google:google:repositories	✓	The fifteen quantumlib repositories.
selftest:google:google:qec-bit-flip-0.1	✓	The three-qubit repetition code on the density matrix at p = 0.1: logical error 3p² − 2p³ = 0.028, below the raw 0.1.
selftest:google:google:chemistry-h2	✓	H₂ in STO-3G at 0.7414 Å: the Hartree–Fock energy from the simulator is −1.1167 Ha and the variational minimum lies below it near −1.137 Ha.
selftest:google:google:ftqc-all	✓	Resource counts read from six circuits this tree builds; one Toffoli costs 7 T gates by the cited decomposition.
selftest:google:google:quantumlib-cirq	✓	What this tree implements of Cirq, as a cross-reference of its exports.
selftest:google	✓	22 of 22 checks pass
selftest:tree:tree:match-serves	✓	served via processor
selftest:tree	✓	1 of 1 checks pass
selftest:flow:discover:requests-answerable	✓	23 requests, every one answered by the client fixture
selftest:flow:discover:follow-ups	✓	follow-ups for verify_claim, sign_commit: the catalogue doors that answer a verdict and are not in tools/list
selftest:flow:discover:no-third-wave	✓	every follow-up answered, nothing left to ask
selftest:flow:discover:doors-read	✓	5 doors: list_tools, get_rights, verify_claim, get_css, sign_commit
selftest:flow:discover:capabilities	✓	{"statementVerdict":["verify_claim"],"signing":["sign_commit"],"readiness":[],"addressing":[],"rbac":[],"metaphysics":[]}
selftest:flow:discover:openapi-paths	✓	openapi 3.1.0: /repos/{owner}/{repo}, /orgs/{org}/repos
selftest:flow:discover:openapi-yaml	✓	yaml paths read
selftest:flow:discover:oai-and-html	✓	identify and html page detected
selftest:flow:discover:leads	✓	18 contract leads: the html page and the hosts with no machine contract named
selftest:flow:discover:page	✓	the page renders the hosts table
selftest:flow:wave:requests	✓	6 requests from 3 leads, each with verifier, url, check and leads
selftest:flow:wave:notes	✓	titles and GitHub descriptions read from the bodies
selftest:flow:wave:contracted	✓	yes inside the discovered contract, no outside it, unknown where no contract was discovered
selftest:flow:wave:summary	✓	{"github":{"requests":2,"ok":2,"contracted":1,"uncontracted":1},"source-page":{"requests":3,"ok":2,"contracted":0,"uncontracted":0}}
selftest:flow:wave:page	✓	the page renders the summary row
selftest:flow:readiness:judge	✓	{"served-one":"served","cleanup-gone":"refuted","cleanup-back":"trial","learn":"refuted","partial-one":"trial","willow-title":"served","page:cirq/build":"refuted","declared":"refuted","owed":"trial"}
selftest:flow:readiness:judge-evidence	✓	HTTP 404 at https://quantumai.google/learn on 2026-01-01 | the match tool serves the page's title "How many qubits does | measured not served: the surface covers 0% of the page's tit
selftest:flow:readiness:sources	✓	quantumai.google 1 open of 6; scripts 1 open of 2; uuidna.com 1 open of 1
selftest:flow:readiness:border-plan	✓	[{"door":"verify_claim","host":"unit.test","arguments":{"statement":"clay_sigma: 1 + 1 = 2"}}]
selftest:flow:readiness:border-read	✓	verify_claim:VERIFIED:true deposit_trial:the edge does not ho:false prove_verdict:UNVERIFIED:false
selftest:flow:readiness:page	✓	the page renders the border verdict
selftest:flow:imagine:subset	✓	willow-spec:impossible learn:impossible; 156 imagined
selftest:flow:discover:lead-asks-the-registry-first	✓	documentation, cloudflare, servers asked; 2 related, 2 remote(s) to extend
selftest:flow:e2e:corrected-by-majority	✓	c1: corrected, syndrome b c
selftest:flow:e2e:uncorrectable-without-majority	✓	c2: uncorrectable, logical error rate 0.5
selftest:flow:e2e:errors-are-uuid-blocks	✓	4 error blocks (the two suspects of an uncorrectable combination count), deterministic uuids, no bodies
selftest:flow:e2e:competition-fastest-correct-code-wins	✓	c1 won by tree-reference at 10 ms against majority at 20; c2 has 3 possibilities and no winner; 10 ms saved
selftest:flow:e2e:teleport-materialised-or-erased	✓	two 304s with the held hash materialise; a 304 echoing another hash is an erasure
selftest:flow:e2e:involution-proves-at-the-edge	✓	two 304 copies: agree, won by involution at 3 ms
selftest:flow:e2e:rates-against-textbook	✓	p=0.8, textbook 0.8960000000000001, 4 leads
selftest:flow	✓	30 of 30 checks pass
selftest:language:language:round-trip:bg	✓	77 terms return through bg
selftest:language:language:coverage-measured	✓	bg: 77 terms, 18 surface terms missing (refuted, trial, requests, results, discovery, plan)
selftest:language:language:prose-bg	✓	tree toolbox: tree knows itself. clay инструмент answered: total 54, holding 54, max bits 33. how to use it: call match
selftest:language:language:match-in-bg	✓	served → обслужена
selftest:language	✓	4 of 4 checks pass
selftest:raid:raid:find-ops	✓	or sorted by title (Quantum Echoes before Sycamore), dotted path, regex, in, nin, exists
selftest:raid:raid:find-skip-limit	✓	skip and limit only when asked; no cap otherwise
selftest:raid:raid:update-ops	✓	set, inc, push, unset; the source document untouched
selftest:raid:raid:entries-addressed	✓	same content, same address; a replacement links what it replaces
selftest:raid:raid:unported-refused	✓	an operator not ported throws, never guesses
selftest:raid	✓	5 of 5 checks pass
selftest:billing:billing:sha256-vector	✓	RFC 2104 / Wikipedia HMAC-SHA256 vector
selftest:billing:billing:signature-valid	✓	the tenant's own secret verifies
selftest:billing:billing:signature-other-tenant	✓	another tenant's secret does not: the scenario between tenants
selftest:billing:billing:signature-replay	✓	an old timestamp and an altered body are refused
selftest:billing:billing:idempotent	✓	the same event gives the same address
selftest:billing:billing:links	✓	a renewal links the grant, a refund links both, the domains carry over from the grant
selftest:billing:billing:state-across-domains	✓	a licence bought at psg is honoured at uuidna and not at a domain it does not name
selftest:billing:billing:state-scenarios	✓	renewed stays licensed; a refund at another tenant ends it; a dispute holds it; nothing is nothing
selftest:billing:billing:variants	✓	a subscription change keeps the licence and records the new variant and quantity, linked to the grants
selftest:billing:billing:catalogue	✓	per-tenant catalogue, metered variant, integer minor units
selftest:billing:billing:usage	✓	calls in the period summed from usage entries, rounded up to thousands
selftest:billing:billing:settlement	✓	net by currency, product and tenant from Stripe's own figures; the ledger content-addressed
selftest:billing:billing:plan	✓	the plan names the tenant secret, the domains and an idempotency key
selftest:billing	✓	13 of 13 checks pass
selftest:legal:legal:claims	✓	21 claims: licence-spdx, licence-address, author-orcid, representation, disclaimer, citation-cff, zenodo-json, package-json…
selftest:legal:legal:security-checks	✓	all pass on the fixture sources
selftest:legal:legal:security-catches	✓	a live key literal and a secret in the handler are caught
selftest:legal:legal:plan-free-by-default	✓	48 calls for 21 claims through 8 doors
selftest:legal:legal:plan-operator-override	✓	the operator's list is used as given; an absent door is named, not guessed
selftest:legal:legal:audit-read	✓	42 findings, drift imprint other-imprint vs 459a7ef3-7a8b-8d8e-893a-099292addcd5, refusals 1
selftest:legal:legal:page	✓	the page renders the drift
selftest:legal:legal:tamper-evident	✓	the same inputs give the same address; one changed line changes it
selftest:legal	✓	8 of 8 checks pass
selftest:repository:repository:requests	✓	4 requests, 3 inside GitHub's contract
selftest:repository:repository:no-remote	✓	no remote, no requests; an ssh remote parses
selftest:repository:repository:leads	✓	branch-only-local-rebuild-phase-1, branch-only-local-orphan-v1-1-1-audit, branch-only-remote-clean, tag-only-local-waves-complete, tag-only-remote-v1-0-1, tag-moved-v1-4-0, release-without-tag-v0-9-0, version-without-release-v1.4.0, zenodo-without-release-1-1-1, workspace-qpu-2
selftest:repository:repository:offline	✓	without answers only the local facts speak: the second workspace
selftest:repository:repository:refusal	✓	a refused request is recorded, never read as agreement
selftest:repository:repository:page	✓	the page renders the tags row
selftest:repository:repository:github-mcp-doors	✓	three doors (list_branches, list_tags, list_releases), their event-stream answers read into 2 branches, 1 tags, 1 release(s)
selftest:repository	✓	7 of 7 checks pass
selftest:standards:standards:block	✓	CreativeWork with ORCID author, ISO 8601 date, ISO 639-1 language
selftest:standards:standards:page	✓	WebPage with identifier and locale
selftest:standards:standards:offer	✓	Offer in ISO 4217 with a yearly UnitPriceSpecification
selftest:standards:standards:codes	✓	locales 11 valid, currencies 3 valid, territory XX unknown
selftest:standards:standards:unmeasured	✓	without the lists nothing is called unknown
selftest:standards:standards:detect	✓	the vocabulary and a CLDR list are told apart
selftest:standards	✓	6 of 6 checks pass
selftest:payload:payload:lexical-block	✓	one qpu block of UUID logic in a lexical root: handle 941ef62e, program 13971143815128
selftest:payload:payload:next-rotated	✓	the next uuid keeps the handle and the tail and rotates the program: 13971143815128 → 97114381512813
selftest:payload:payload:nested	✓	parent and breadcrumbs follow the chain
selftest:payload:payload:seo-and-ld	✓	SEO from Open Graph, JSON-LD and licence carried
selftest:payload:payload:small	✓	2748 bytes without html: computed once, a few kilobytes
selftest:payload:configure:torus-closed	✓	wrangler at 775bfca9-f529-5ca0-8248-8e39a0fe1bd4: seed 5, reflection 5, trinity 258
selftest:payload:configure:no-drift-with-itself	✓	a JSONC text of the configuration drifts nowhere; a changed name and routes drift exactly there
selftest:payload:configure:tenants-named-never-valued	✓	3 tenants, 11 secret names each, no value
selftest:payload:configure:payload-plugins	✓	the eight default plugins, 256 combinations, the tenants in multi-tenant
selftest:payload:payload:website-is-what-payload-computes	✓	12 collections, 30 blocks; two live block types in the source, a made-up one not; four plugins shared
selftest:payload:payload:skills-mapped	✓	2 skills and 12 references, every one enacted by a tool of this tree
selftest:payload:configure:development-defines-the-version	✓	a tool added: 1.5.0+e1.52f5656f; a tool gone: 2.0.0+e1.1b36032f; nothing changed: 1.4.0+e1.1ee0dda0 (the number stays; the build address moves)
selftest:payload:configure:single-digits-infinite-lifespan	✓	minor carries at 10: 2.0.0+e1.1ee0dda0; major past 9 returns to 1 with the epoch: 1.0.0+e2.1b36032f; the build address is a function of the catalogue
selftest:payload:configure:migration-at-whole-uptime	✓	five steps, no address moved
selftest:payload:configure:mcp-registration	✓	the registration of 41 tools, through the extension toolbox
selftest:payload	✓	15 of 15 checks pass
selftest:extension:extension:inward	✓	1 door, takes query
selftest:extension:extension:stream-list	✓	tools/list read from an event stream equals the array
selftest:extension:extension:outward	✓	41 tools in the registration, every one with a schema
selftest:extension:extension:claude-mounts-both-halves	✓	the server and its toolset under one name, the beta named, no key
selftest:extension:extension:identity	✓	QPU extended by its own registration is the identity on the catalogue
selftest:extension:extension:served	✓	an event-stream answer read back
selftest:extension:extension:refusal	✓	a host's error is the error, not a result
selftest:extension:extension:request-without-token	✓	the tool emits the request; the token is the client's
selftest:extension:extension:discover-defaults	✓	discovery asks every Cloudflare server by default
selftest:extension	✓	9 of 9 checks pass
selftest:crypto:crypto:pieces-under-the-bound	✓	4 pieces, the largest 590 bytes under 600
selftest:crypto:crypto:reflective-boundary	✓	σ_3(i) = 3 − i
selftest:crypto:crypto:key-names-its-piece	✓	k27 sits in piece 2 by its key range
selftest:crypto:crypto:unfold-agrees	✓	the pieces give back the whole and the root agrees
selftest:crypto:crypto:wrong-piece-named	✓	a changed piece is named and the root disagrees
selftest:crypto:crypto:whole-fits	✓	a payload under the bound is one piece, its own mirror
selftest:crypto:crypto:row-cut-at-characters	✓	a single row above the bound is cut at characters
selftest:crypto:crypto:seal	✓	SHA-256 and HMAC-SHA256 agree with the published vectors
selftest:crypto	✓	8 of 8 checks pass
theorem-exists:stripe-catalogue	✓	textbook_prices_are_variants_times_currencies is kernel-accepted (7 * 2 = 14)
theorem-exists:legal-audit-offline	✓	textbook_uuid_is_36 is kernel-accepted (32 + 4 = 36)
theorem-exists:configure-migration	✓	textbook_providers_are_tenants_plus_operator is kernel-accepted (2 + 1 = 3)
theorem-exists:configure-all	✓	textbook_reflection_sums_to_ten is kernel-accepted (∀ (s : Nat), s ≤ 10 → s + (10 - s) = 10)
theorem-exists:configure-payload	✓	textbook_plugin_combinations is kernel-accepted (2 ^ 8 = 256)
theorem-exists:payload-website	✓	textbook_website_plugins_partition is kernel-accepted (4 + 3 + 1 = 8)
theorem-exists:payload-skills	✓	textbook_skills_documents is kernel-accepted (2 + 12 = 14)
theorem-exists:payload-doc	✓	textbook_uuid_is_36 is kernel-accepted (32 + 4 = 36)
theorem-exists:extend-in-request	✓	textbook_integrations_are_ten is kernel-accepted (8 + 1 + 1 = 10)
theorem-exists:fold-ledger	✓	textbook_fold_mirror is kernel-accepted (∀ (n i : Nat), i ≤ n → i + (n - i) = n)
theorem-exists:vortex-trinity	✓	triad_reflect is kernel-accepted ((10 - 3 = 7 ∧ 10 - 6 = 4 ∧ 10 - 9 = 1) ∧ (10 - 7 = 3 ∧ 10 - 4 = 6 ∧ 10 - 1 = 9) )
theorem-exists:css-stylesheet	✓	textbook_reflection_sums_to_ten is kernel-accepted (∀ (s : Nat), s ≤ 10 → s + (10 - s) = 10)
theorem-exists:clone-language	✓	all_noclone is kernel-accepted (coins ≠ mintOf coins)
theorem-exists:clay-reflection	✓	triad_reflect is kernel-accepted ((10 - 3 = 7 ∧ 10 - 6 = 4 ∧ 10 - 9 = 1) ∧ (10 - 7 = 3 ∧ 10 - 4 = 6 ∧ 10 - 1 = 9) )
theorem-exists:clay-relation-15	✓	relation_15 is kernel-accepted (magicBlock = glProd hexbit seed ∧ magicBlock = qftDepth vertices)
theorem-exists:match-theorem-first	✓	mersenne_127 is kernel-accepted (mintOf rays - seed = 127)
examples-backed-by-theorems	✓	16 of 85 examples name the theorem that makes them true (stripe-catalogue→textbook_prices_are_variants_times_currencies, legal-audit-offline→textbook_uuid_is_36, configure-migration→textbook_providers_are_tenants_plus_operator, configure-all→textbook_reflection_sums_to_ten, configure-payload→textbook_plugin_combinations, payload-website→textbook_website_plugins_partition, payload-skills→textbook_skills_documents, payload-doc→textbook_uuid_is_36, extend-in-request→textbook_integrations_are_ten, fold-ledger→textbook_fold_mirror, vortex-trinity→triad_reflect, css-stylesheet→textbook_reflection_sums_to_ten, clone-language→all_noclone, clay-reflection→triad_reflect, clay-relation-15→relation_15, match-theorem-first→mersenne_127); the rest are the textbook, respected, each a lead for a theorem
example-ids-unique	✓	85 unique ids
leads:served-have-tools	✓	256 served leads name a served tool
leads:others-have-reasons	✓	2444 non-served leads carry a reason
error:unknown-tool	✓	{"code":-32601,"message":"no tool no-such-tool; the tools are processor, circuit
error:unknown-method	✓	{"code":-32601,"message":"method no/such is not served"}
error:invalid-params	✓	{"code":-32602,"message":"processor Mars is not described here"}

© Tsvetan Rouschev · CC-BY-NC-ND-4.0 · commercial use by licence (ceccec@psg.bg)

structured result

{
  "slowest": [
    "license:readiness-plan 2592 ms",
    "selftest:language:language:round-trip:bg 16 ms",
    "selftest:extension:extension:inward 11 ms",
    "license:imagine-two 10 ms",
    "selftest:flow:readiness:judge 8 ms",
    "selftest:flow:imagine:subset 8 ms",
    "license:leads-all 5 ms",
    "css-vars:leads-all 4 ms"
  ],
  "total": 710,
  "passed": 710,
  "failed": 0,
  "tools": 41,
  "examples": 85,
  "leads": 2700,
  "checks": [
    {
      "id": "initialize",
      "passed": true,
      "evidence": "{\"name\":\"qpu\",\"version\":\"1.4.0\",\"license\":\"CC-BY-NC-ND-4.0\",\"author\":\"Tsvetan Rouschev\"}",
      "ms": 0
    },
    {
      "id": "license:initialize",
      "passed": true,
      "evidence": "serverInfo.license and instructions carry the licence",
      "ms": 0
    },
    {
      "id": "tools/list",
      "passed": true,
      "evidence": "41 tools",
      "ms": 0
    },
    {
      "id": "schema:processor",
      "passed": true,
      "evidence": "1 properties, 1 required",
      "ms": 0
    },
    {
      "id": "covered:processor",
      "passed": true,
      "evidence": "2 example(s)",
      "ms": 0
    },
    {
      "id": "schema:circuit",
      "passed": true,
      "evidence": "8 properties, 1 required",
      "ms": 0
    },
    {
      "id": "covered:circuit",
      "passed": true,
      "evidence": "3 example(s)",
      "ms": 0
    },
    {
      "id": "schema:echo",
      "passed": true,
      "evidence": "2 properties, 1 required",
      "ms": 0
    },
    {
      "id": "covered:echo",
      "passed": true,
      "evidence": "1 example(s)",
      "ms": 0
    },
    {
      "id": "schema:echo_benchmark",
      "passed": true,
      "evidence": "0 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:echo_benchmark",
      "passed": true,
      "evidence": "1 example(s)",
      "ms": 0
    },
    {
      "id": "schema:roadmap",
      "passed": true,
      "evidence": "1 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:roadmap",
      "passed": true,
      "evidence": "2 example(s)",
      "ms": 0
    },
    {
      "id": "schema:algorithm",
      "passed": true,
      "evidence": "13 properties, 1 required",
      "ms": 0
    },
    {
      "id": "covered:algorithm",
      "passed": true,
      "evidence": "6 example(s)",
      "ms": 0
    },
    {
      "id": "schema:software",
      "passed": true,
      "evidence": "0 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:software",
      "passed": true,
      "evidence": "1 example(s)",
      "ms": 0
    },
    {
      "id": "schema:statements",
      "passed": true,
      "evidence": "1 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:statements",
      "passed": true,
      "evidence": "1 example(s)",
      "ms": 0
    },
    {
      "id": "schema:repositories",
      "passed": true,
      "evidence": "1 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:repositories",
      "passed": true,
      "evidence": "1 example(s)",
      "ms": 0
    },
    {
      "id": "schema:quantumlib",
      "passed": true,
      "evidence": "1 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:quantumlib",
      "passed": true,
      "evidence": "1 example(s)",
      "ms": 0
    },
    {
      "id": "schema:quantum-error-correction",
      "passed": true,
      "evidence": "5 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:quantum-error-correction",
      "passed": true,
      "evidence": "1 example(s)",
      "ms": 0
    },
    {
      "id": "schema:chemistry-simulation",
      "passed": true,
      "evidence": "3 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:chemistry-simulation",
      "passed": true,
      "evidence": "1 example(s)",
      "ms": 0
    },
    {
      "id": "schema:fault-tolerant-design",
      "passed": true,
      "evidence": "5 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:fault-tolerant-design",
      "passed": true,
      "evidence": "1 example(s)",
      "ms": 0
    },
    {
      "id": "schema:leads",
      "passed": true,
      "evidence": "1 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:leads",
      "passed": true,
      "evidence": "1 example(s)",
      "ms": 0
    },
    {
      "id": "schema:audit",
      "passed": true,
      "evidence": "0 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:audit",
      "passed": true,
      "evidence": "1 example(s)",
      "ms": 0
    },
    {
      "id": "schema:match",
      "passed": true,
      "evidence": "2 properties, 1 required",
      "ms": 0
    },
    {
      "id": "covered:match",
      "passed": true,
      "evidence": "7 example(s)",
      "ms": 0
    },
    {
      "id": "schema:clay",
      "passed": true,
      "evidence": "3 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:clay",
      "passed": true,
      "evidence": "3 example(s)",
      "ms": 0
    },
    {
      "id": "schema:verify",
      "passed": true,
      "evidence": "5 properties, 1 required",
      "ms": 0
    },
    {
      "id": "covered:verify",
      "passed": true,
      "evidence": "3 example(s)",
      "ms": 0
    },
    {
      "id": "schema:metrics",
      "passed": true,
      "evidence": "1 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:metrics",
      "passed": true,
      "evidence": "1 example(s)",
      "ms": 0
    },
    {
      "id": "schema:textbook",
      "passed": true,
      "evidence": "5 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:textbook",
      "passed": true,
      "evidence": "2 example(s)",
      "ms": 0
    },
    {
      "id": "schema:css",
      "passed": true,
      "evidence": "1 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:css",
      "passed": true,
      "evidence": "1 example(s)",
      "ms": 0
    },
    {
      "id": "schema:dashboard",
      "passed": true,
      "evidence": "3 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:dashboard",
      "passed": true,
      "evidence": "3 example(s)",
      "ms": 0
    },
    {
      "id": "schema:clone",
      "passed": true,
      "evidence": "2 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:clone",
      "passed": true,
      "evidence": "1 example(s)",
      "ms": 0
    },
    {
      "id": "schema:discover",
      "passed": true,
      "evidence": "6 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:discover",
      "passed": true,
      "evidence": "2 example(s)",
      "ms": 0
    },
    {
      "id": "schema:wave",
      "passed": true,
      "evidence": "4 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:wave",
      "passed": true,
      "evidence": "1 example(s)",
      "ms": 0
    },
    {
      "id": "schema:readiness",
      "passed": true,
      "evidence": "8 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:readiness",
      "passed": true,
      "evidence": "1 example(s)",
      "ms": 0
    },
    {
      "id": "schema:imagine",
      "passed": true,
      "evidence": "3 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:imagine",
      "passed": true,
      "evidence": "1 example(s)",
      "ms": 0
    },
    {
      "id": "schema:e2e",
      "passed": true,
      "evidence": "4 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:e2e",
      "passed": true,
      "evidence": "1 example(s)",
      "ms": 0
    },
    {
      "id": "schema:translate",
      "passed": true,
      "evidence": "4 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:translate",
      "passed": true,
      "evidence": "2 example(s)",
      "ms": 0
    },
    {
      "id": "schema:prose",
      "passed": true,
      "evidence": "4 properties, 1 required",
      "ms": 0
    },
    {
      "id": "covered:prose",
      "passed": true,
      "evidence": "1 example(s)",
      "ms": 0
    },
    {
      "id": "schema:mongo",
      "passed": true,
      "evidence": "9 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:mongo",
      "passed": true,
      "evidence": "2 example(s)",
      "ms": 0
    },
    {
      "id": "schema:stripe",
      "passed": true,
      "evidence": "16 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:stripe",
      "passed": true,
      "evidence": "3 example(s)",
      "ms": 0
    },
    {
      "id": "schema:legal",
      "passed": true,
      "evidence": "7 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:legal",
      "passed": true,
      "evidence": "2 example(s)",
      "ms": 0
    },
    {
      "id": "schema:repository",
      "passed": true,
      "evidence": "5 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:repository",
      "passed": true,
      "evidence": "1 example(s)",
      "ms": 0
    },
    {
      "id": "schema:jsonld",
      "passed": true,
      "evidence": "12 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:jsonld",
      "passed": true,
      "evidence": "2 example(s)",
      "ms": 0
    },
    {
      "id": "schema:codes",
      "passed": true,
      "evidence": "3 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:codes",
      "passed": true,
      "evidence": "1 example(s)",
      "ms": 0
    },
    {
      "id": "schema:payload",
      "passed": true,
      "evidence": "13 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:payload",
      "passed": true,
      "evidence": "6 example(s)",
      "ms": 0
    },
    {
      "id": "schema:configure",
      "passed": true,
      "evidence": "7 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:configure",
      "passed": true,
      "evidence": "8 example(s)",
      "ms": 0
    },
    {
      "id": "schema:extend",
      "passed": true,
      "evidence": "6 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:extend",
      "passed": true,
      "evidence": "4 example(s)",
      "ms": 0
    },
    {
      "id": "schema:fold",
      "passed": true,
      "evidence": "7 properties, 0 required",
      "ms": 0
    },
    {
      "id": "covered:fold",
      "passed": true,
      "evidence": "1 example(s)",
      "ms": 0
    },
    {
      "id": "schema:seal",
      "passed": true,
      "evidence": "3 properties, 1 required",
      "ms": 0
    },
    {
      "id": "covered:seal",
      "passed": true,
      "evidence": "1 example(s)",
      "ms": 0
    },
    {
      "id": "example-tool:discover-lead-registry",
      "passed": true,
      "evidence": "discover",
      "ms": 0
    },
    {
      "id": "license:discover-lead-registry",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 1
    },
    {
      "id": "css-vars:discover-lead-registry",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:discover-lead-registry",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:discover-lead-registry",
      "passed": true,
      "evidence": "Leads first: a lead's distinctive words asked of the public MCP registry (registry.modelcontextprotocol.io) before any guess about which MCP serves it; the client fetches, and the answers name the related servers and the request that extends each through qpu.",
      "ms": 0
    },
    {
      "id": "example-tool:discover-requests",
      "passed": true,
      "evidence": "discover",
      "ms": 0
    },
    {
      "id": "license:discover-requests",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 1
    },
    {
      "id": "css-vars:discover-requests",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:discover-requests",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:discover-requests",
      "passed": true,
      "evidence": "Phase one of discovery: the requests a client makes for every contract — the unit's tools/list, its catalogue door, its well-known file, and the verifiers' contract documents.",
      "ms": 0
    },
    {
      "id": "example-tool:wave-requests",
      "passed": true,
      "evidence": "wave",
      "ms": 0
    },
    {
      "id": "license:wave-requests",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:wave-requests",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:wave-requests",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:wave-requests",
      "passed": true,
      "evidence": "Phase one of the wave: the requests two leads need, once per URL, each naming the leads it serves.",
      "ms": 1
    },
    {
      "id": "example-tool:readiness-plan",
      "passed": true,
      "evidence": "readiness",
      "ms": 0
    },
    {
      "id": "license:readiness-plan",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 2592
    },
    {
      "id": "css-vars:readiness-plan",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:readiness-plan",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:readiness-plan",
      "passed": true,
      "evidence": "Phase one of readiness without measurements: every lead judged (served by its tool, refuted by declaration, or in trial), the sources for the unit, an empty border plan because nothing was discovered, and the unit plan.",
      "ms": 0
    },
    {
      "id": "example-tool:e2e-requests",
      "passed": true,
      "evidence": "e2e",
      "ms": 0
    },
    {
      "id": "license:e2e-requests",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 1
    },
    {
      "id": "css-vars:e2e-requests",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:e2e-requests",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:e2e-requests",
      "passed": true,
      "evidence": "Phase one of the end-to-end gate for three tools: every dashboard cell and every example of theirs as a tools/call request to one host, each carrying the hash of the tree's own answer; without tools, every tool's.",
      "ms": 0
    },
    {
      "id": "example-tool:imagine-two",
      "passed": true,
      "evidence": "imagine",
      "ms": 0
    },
    {
      "id": "license:imagine-two",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 10
    },
    {
      "id": "css-vars:imagine-two",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:imagine-two",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:imagine-two",
      "passed": true,
      "evidence": "Two leads imagined: one served by the processor tool, one blocked (a 404), plus the leads every schema and application family open.",
      "ms": 0
    },
    {
      "id": "example-tool:translate-bg",
      "passed": true,
      "evidence": "translate",
      "ms": 0
    },
    {
      "id": "license:translate-bg",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:translate-bg",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:translate-bg",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:translate-bg",
      "passed": true,
      "evidence": "English to Bulgarian by vocabulary: the labels and verdicts translate; a word with no entry stays and is reported.",
      "ms": 0
    },
    {
      "id": "example-tool:translate-coverage",
      "passed": true,
      "evidence": "translate",
      "ms": 0
    },
    {
      "id": "license:translate-coverage",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:translate-coverage",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:translate-coverage",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:translate-coverage",
      "passed": true,
      "evidence": "The vocabulary measured: for every locale, which surface terms have no entry — the leads of the tables, updated from measurement.",
      "ms": 0
    },
    {
      "id": "example-tool:prose-clay-bg",
      "passed": true,
      "evidence": "prose",
      "ms": 0
    },
    {
      "id": "license:prose-clay-bg",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:prose-clay-bg",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:prose-clay-bg",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:prose-clay-bg",
      "passed": true,
      "evidence": "Programmable prose in Bulgarian from the clay tool's answer and the tree toolbox's skill: the numbers are the tool's, the words the vocabulary's, the rest reported.",
      "ms": 0
    },
    {
      "id": "example-tool:mongo-find",
      "passed": true,
      "evidence": "mongo",
      "ms": 0
    },
    {
      "id": "license:mongo-find",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:mongo-find",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:mongo-find",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:mongo-find",
      "passed": true,
      "evidence": "A Mongo filter over documents read from the docket: operators, array membership, sort; the match is computed here, the storage is the docket.",
      "ms": 0
    },
    {
      "id": "example-tool:mongo-update",
      "passed": true,
      "evidence": "mongo",
      "ms": 0
    },
    {
      "id": "license:mongo-update",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:mongo-update",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:mongo-update",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:mongo-update",
      "passed": true,
      "evidence": "An update computed as a new document and a new entry linked to the one it replaces: entries are immutable and content-addressed, so history is kept.",
      "ms": 0
    },
    {
      "id": "example-tool:stripe-plan",
      "passed": true,
      "evidence": "stripe",
      "ms": 0
    },
    {
      "id": "license:stripe-plan",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:stripe-plan",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:stripe-plan",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:stripe-plan",
      "passed": true,
      "evidence": "A checkout plan for a yearly commercial licence of acme on two domains, bought at tenant psg: the form Stripe takes, the metadata the webhook brings back, the tenant secret the Worker alone holds.",
      "ms": 0
    },
    {
      "id": "example-tool:stripe-catalogue",
      "passed": true,
      "evidence": "stripe",
      "ms": 0
    },
    {
      "id": "license:stripe-catalogue",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:stripe-catalogue",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:stripe-catalogue",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:stripe-catalogue",
      "passed": true,
      "evidence": "The QPU as a product line for tenant uuidna: seven variants over five products, each a Stripe price form in two currencies, the a432 default at zero.",
      "ms": 0
    },
    {
      "id": "example-tool:stripe-webhook",
      "passed": true,
      "evidence": "stripe",
      "ms": 0
    },
    {
      "id": "license:stripe-webhook",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 1
    },
    {
      "id": "css-vars:stripe-webhook",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:stripe-webhook",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:stripe-webhook",
      "passed": true,
      "evidence": "A checkout completed at tenant psg, its signature verified with psg's webhook secret, read into one licence entry granting acme on both domains.",
      "ms": 0
    },
    {
      "id": "example-tool:legal-audit-offline",
      "passed": true,
      "evidence": "legal",
      "ms": 0
    },
    {
      "id": "license:legal-audit-offline",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:legal-audit-offline",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:legal-audit-offline",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:legal-audit-offline",
      "passed": true,
      "evidence": "Phase two with no answers (offline): the claims, the tree's security checks, and the audit's own content address over the SHA-256 of every input — change a source and the address changes.",
      "ms": 0
    },
    {
      "id": "example-tool:legal-plan",
      "passed": true,
      "evidence": "legal",
      "ms": 0
    },
    {
      "id": "license:legal-plan",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:legal-plan",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:legal-plan",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:legal-plan",
      "passed": true,
      "evidence": "Phase one on fixture texts and a three-door discovery: the claims gathered (licence, author, metadata, measured table, perspectives), the tree's security checks, and the plan — one forensics call per claim, the rights and security doors once, free by default.",
      "ms": 0
    },
    {
      "id": "example-tool:repository-watch",
      "passed": true,
      "evidence": "repository",
      "ms": 0
    },
    {
      "id": "license:repository-watch",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:repository-watch",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:repository-watch",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:repository-watch",
      "passed": true,
      "evidence": "Fixture facts against fixture answers: two local branches unpushed, one remote branch not here, a local tag not pushed, a remote tag not fetched, a moved tag, a release whose tag is gone, a version with a tag and no release, a Zenodo version without a release, a second workspace: ten leads.",
      "ms": 0
    },
    {
      "id": "example-tool:jsonld-block",
      "passed": true,
      "evidence": "jsonld",
      "ms": 0
    },
    {
      "id": "license:jsonld-block",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:jsonld-block",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:jsonld-block",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:jsonld-block",
      "passed": true,
      "evidence": "A block as schema.org JSON-LD: a CreativeWork of the SoftwareApplication, the author a Person with an ORCID, the licence a URL, the date ISO 8601.",
      "ms": 0
    },
    {
      "id": "example-tool:jsonld-catalogue",
      "passed": true,
      "evidence": "jsonld",
      "ms": 0
    },
    {
      "id": "license:jsonld-catalogue",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 1
    },
    {
      "id": "css-vars:jsonld-catalogue",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:jsonld-catalogue",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:jsonld-catalogue",
      "passed": true,
      "evidence": "The whole catalogue as an OfferCatalog of Offers priced in ISO 4217 EUR, each a UnitPriceSpecification by month or year where recurring.",
      "ms": 0
    },
    {
      "id": "example-tool:codes-plan",
      "passed": true,
      "evidence": "codes",
      "ms": 0
    },
    {
      "id": "license:codes-plan",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:codes-plan",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:codes-plan",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:codes-plan",
      "passed": true,
      "evidence": "What the codes tool would validate and where the CLDR lists are: eleven locales, three currencies, the tenants' countries.",
      "ms": 0
    },
    {
      "id": "example-tool:configure-versions",
      "passed": true,
      "evidence": "configure",
      "ms": 0
    },
    {
      "id": "license:configure-versions",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:configure-versions",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:configure-versions",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:configure-versions",
      "passed": true,
      "evidence": "Versions define development and development defines versions: the current version from its single source, the next number from what the catalogue changed since the last tag (tools added: the minor digit carries), kept to single digits with a build address, the open leads as the version's plan, Payload's versioning over the RAID (every version an entry, never overwritten, no cap).",
      "ms": 0
    },
    {
      "id": "example-tool:configure-migration",
      "passed": true,
      "evidence": "configure",
      "ms": 0
    },
    {
      "id": "license:configure-migration",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:configure-migration",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:configure-migration",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:configure-migration",
      "passed": true,
      "evidence": "A provider added or moved at 100 % uptime: deploy beside, mirror the docket by address, decode old and new as copies through the gate, route, and the rollback is the earlier version still answering.",
      "ms": 0
    },
    {
      "id": "example-tool:configure-api",
      "passed": true,
      "evidence": "configure",
      "ms": 0
    },
    {
      "id": "license:configure-api",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:configure-api",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:configure-api",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:configure-api",
      "passed": true,
      "evidence": "The QPU's API overview as data, the way platform.claude.com's overview is one for the Claude API: one MCP endpoint and every surface around it, the headers, the authorization (none for every pure tool), the content addressing and its involution, the tools by toolbox, the MCP connector for Claude and for any client, quick tests, limits and errors; docs/api.md is written from it.",
      "ms": 0
    },
    {
      "id": "example-tool:configure-fullstack",
      "passed": true,
      "evidence": "configure",
      "ms": 0
    },
    {
      "id": "license:configure-fullstack",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:configure-fullstack",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:configure-fullstack",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:configure-fullstack",
      "passed": true,
      "evidence": "QPU's full stack from the source of payloadcms.com (MIT): its twelve collections, thirty blocks, globals and fields kept, the qpu block added, search, multi-tenant and mcp added to its four plugins, the database the RAID, storage and deploy at Cloudflare; two source files and a README generated for the fork.",
      "ms": 0
    },
    {
      "id": "example-tool:configure-all",
      "passed": true,
      "evidence": "configure",
      "ms": 0
    },
    {
      "id": "license:configure-all",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 1
    },
    {
      "id": "css-vars:configure-all",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:configure-all",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:configure-all",
      "passed": true,
      "evidence": "Every configuration MCP computes, tested around the torus: Payload's plugins, the Worker, the tenants' variable names, the manifest, the registration, the versions, the migration, the full stack; each with its address, seed, reflection and trinity, every loop closed.",
      "ms": 0
    },
    {
      "id": "example-tool:configure-payload",
      "passed": true,
      "evidence": "configure",
      "ms": 0
    },
    {
      "id": "license:configure-payload",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:configure-payload",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:configure-payload",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:configure-payload",
      "passed": true,
      "evidence": "Payload configured by MCP: eight default plugins over the one pages collection, the lexical block qpu with its UUID logic fields, the tenants in multi-tenant, 256 combinations.",
      "ms": 0
    },
    {
      "id": "example-tool:configure-wrangler-drift",
      "passed": true,
      "evidence": "configure",
      "ms": 0
    },
    {
      "id": "license:configure-wrangler-drift",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:configure-wrangler-drift",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:configure-wrangler-drift",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:configure-wrangler-drift",
      "passed": true,
      "evidence": "The Worker configuration compared to a text a client holds: every differing path is a lead, nothing is rewritten by the tool.",
      "ms": 0
    },
    {
      "id": "example-tool:configure-tenant-missing",
      "passed": true,
      "evidence": "configure",
      "ms": 0
    },
    {
      "id": "license:configure-tenant-missing",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:configure-tenant-missing",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:configure-tenant-missing",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:configure-tenant-missing",
      "passed": true,
      "evidence": "Each tenant's variable names and which an environment lacks: Stripe keys and the Cloudflare MCP tokens are the operator's to set; values never travel.",
      "ms": 0
    },
    {
      "id": "example-tool:payload-theorems-plan",
      "passed": true,
      "evidence": "payload",
      "ms": 0
    },
    {
      "id": "license:payload-theorems-plan",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:payload-theorems-plan",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:payload-theorems-plan",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:payload-theorems-plan",
      "passed": true,
      "evidence": "The textbook's axioms replaced by theorems through the Payload MCP plugin, as a client: the endpoint, the authorization the tenant sends, the tools/list request, and the steps — the find and update doors picked by what they take, every qpu block without a theorem given the kernel-accepted key its example names.",
      "ms": 0
    },
    {
      "id": "example-tool:payload-theorems-update",
      "passed": true,
      "evidence": "payload",
      "ms": 0
    },
    {
      "id": "license:payload-theorems-update",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 1
    },
    {
      "id": "css-vars:payload-theorems-update",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:payload-theorems-update",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:payload-theorems-update",
      "passed": true,
      "evidence": "With the Payload MCP's answers: the find and update doors recognised by what they take, two pages read, one qpu block without a theorem given textbook_plugin_combinations (the example configure-payload), one already naming its theorem left as it is; one update request emitted.",
      "ms": 0
    },
    {
      "id": "example-tool:payload-website",
      "passed": true,
      "evidence": "payload",
      "ms": 0
    },
    {
      "id": "license:payload-website",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:payload-website",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:payload-website",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:payload-website",
      "passed": true,
      "evidence": "The source of payloadcms.com (github.com/payloadcms/website, MIT) read as a tree: twelve collections, thirty blocks, seven globals, ten fields, its own opsCounter plugin, and the four default plugins its config mounts; the live page's block types contentGrid and cta have their blocks in the source — the site is what Payload computes, verified.",
      "ms": 0
    },
    {
      "id": "example-tool:payload-skills",
      "passed": true,
      "evidence": "payload",
      "ms": 0
    },
    {
      "id": "license:payload-skills",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:payload-skills",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:payload-skills",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:payload-skills",
      "passed": true,
      "evidence": "Payload's skills for agents (github.com/payloadcms/skills) read as a tree: two skills, payload and cms-migration, their fourteen references, each mapped to the tool of this tree that enacts it; names and paths as facts, no text carried.",
      "ms": 0
    },
    {
      "id": "example-tool:payload-site",
      "passed": true,
      "evidence": "payload",
      "ms": 0
    },
    {
      "id": "license:payload-site",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 1
    },
    {
      "id": "css-vars:payload-site",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:payload-site",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:payload-site",
      "passed": true,
      "evidence": "The site as its own use cases, as payloadcms.com is built of what Payload computes: every toolbox a use case, every example a page document in Payload's pages shape (layout blocks, meta, breadcrumbs) at its live /u address.",
      "ms": 0
    },
    {
      "id": "example-tool:payload-doc",
      "passed": true,
      "evidence": "payload",
      "ms": 0
    },
    {
      "id": "license:payload-doc",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:payload-doc",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:payload-doc",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:payload-doc",
      "passed": true,
      "evidence": "The clay result as a Payload document: a lexical root with a heading, one qpu block of UUID logic and the licence paragraph; nested under its referer; the SEO fields from the block's Open Graph.",
      "ms": 0
    },
    {
      "id": "example-tool:extend-out",
      "passed": true,
      "evidence": "extend",
      "ms": 0
    },
    {
      "id": "license:extend-out",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:extend-out",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:extend-out",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:extend-out",
      "passed": true,
      "evidence": "This catalogue as the registration any MCP client mounts: every tool as tools/list serves it, grouped by toolbox, at this tree's own endpoint; and as the Claude API mounts it, through the Messages API's MCP connector (mcp_servers with the mcp_toolset, beta mcp-client-2025-11-20), the tenant's key in the request.",
      "ms": 0
    },
    {
      "id": "example-tool:extend-in-request",
      "passed": true,
      "evidence": "extend",
      "ms": 0
    },
    {
      "id": "license:extend-in-request",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:extend-in-request",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:extend-in-request",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:extend-in-request",
      "passed": true,
      "evidence": "Without the host's tools: the one tools/list request the client makes of Cloudflare's documentation server (no token needed there), and the integration matrix: every MCP this tree knows, its token name and what the tree does with it once open (GitHub → the repository watch through its doors; Cloudflare's eight → the verifier, the mirrors, the metrics, the wave, the audit, the prose, the tenants, the textbook; the Claude API → the operator agent, and outward the Messages API registration that mounts this catalogue).",
      "ms": 0
    },
    {
      "id": "example-tool:extend-in-docs",
      "passed": true,
      "evidence": "extend",
      "ms": 0
    },
    {
      "id": "license:extend-in-docs",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:extend-in-docs",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:extend-in-docs",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:extend-in-docs",
      "passed": true,
      "evidence": "Cloudflare's documentation server read into this catalogue: one door, docs.mcp.cloudflare.com:search_cloudflare_documentation, taking a query.",
      "ms": 0
    },
    {
      "id": "example-tool:extend-call-served",
      "passed": true,
      "evidence": "extend",
      "ms": 0
    },
    {
      "id": "license:extend-call-served",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:extend-call-served",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:extend-call-served",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:extend-call-served",
      "passed": true,
      "evidence": "A foreign door served and its event-stream answer read back into the text the host returned.",
      "ms": 0
    },
    {
      "id": "example-tool:fold-ledger",
      "passed": true,
      "evidence": "fold",
      "ms": 0
    },
    {
      "id": "license:fold-ledger",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 1
    },
    {
      "id": "css-vars:fold-ledger",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:fold-ledger",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:fold-ledger",
      "passed": true,
      "evidence": "A forty-row ledger folded under a bound of 600 bytes: the pieces, each with its address, SHA-256 and key range, the root over them, the mirror piece of each across the fold, and the one piece the key k27 sits in — decided by comparisons, the whole never read for it.",
      "ms": 0
    },
    {
      "id": "example-tool:seal-text",
      "passed": true,
      "evidence": "seal",
      "ms": 0
    },
    {
      "id": "license:seal-text",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:seal-text",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:seal-text",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:seal-text",
      "passed": true,
      "evidence": "SHA-256, the HMAC under a test key and the fold address of one text, the same at every host.",
      "ms": 0
    },
    {
      "id": "example-tool:textbook-categories",
      "passed": true,
      "evidence": "textbook",
      "ms": 0
    },
    {
      "id": "license:textbook-categories",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:textbook-categories",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:textbook-categories",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:textbook-categories",
      "passed": true,
      "evidence": "The textbook as an adapter: every example categorised for reuse by toolbox, tool, theorem and module; the categories are computed, never written.",
      "ms": 0
    },
    {
      "id": "example-tool:textbook-reuse",
      "passed": true,
      "evidence": "textbook",
      "ms": 0
    },
    {
      "id": "license:textbook-reuse",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:textbook-reuse",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:textbook-reuse",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:textbook-reuse",
      "passed": true,
      "evidence": "One example reused by id: replayed, its result returned, as documented.",
      "ms": 0
    },
    {
      "id": "example-tool:vortex-trinity",
      "passed": true,
      "evidence": "verify",
      "ms": 0
    },
    {
      "id": "license:vortex-trinity",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:vortex-trinity",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:vortex-trinity",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:vortex-trinity",
      "passed": true,
      "evidence": "The 9-vortex of a UUID read whole: the seed, its reflection under σ_10, the trinity it belongs to and the trinity it reflects into at the same time (3, 6, 9 ↔ 7, 4, 1; 2, 5, 8 into itself), and whether it sits in the key's trinity; stated by the kernel as triad_reflect.",
      "ms": 0
    },
    {
      "id": "example-tool:css-stylesheet",
      "passed": true,
      "evidence": "css",
      "ms": 0
    },
    {
      "id": "license:css-stylesheet",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:css-stylesheet",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:css-stylesheet",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:css-stylesheet",
      "passed": true,
      "evidence": "The UI as CSS: the stylesheet from the key 432 with the rules that draw every block from its own custom properties, and the thirteen variables one UUID sets on its block root, its vortex seed and the seed's reflection summing to 10; no script anywhere.",
      "ms": 0
    },
    {
      "id": "example-tool:dashboard-processor",
      "passed": true,
      "evidence": "dashboard",
      "ms": 0
    },
    {
      "id": "license:dashboard-processor",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:dashboard-processor",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:dashboard-processor",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:dashboard-processor",
      "passed": true,
      "evidence": "The processor tool laid out whole: its one facet (three devices) and the three combinations, each a final cell drawn by its own UUID with a link to its walk page, so the click is the decision.",
      "ms": 0
    },
    {
      "id": "example-tool:dashboard-algorithm-narrowed",
      "passed": true,
      "evidence": "dashboard",
      "ms": 0
    },
    {
      "id": "license:dashboard-algorithm-narrowed",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 1
    },
    {
      "id": "css-vars:dashboard-algorithm-narrowed",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:dashboard-algorithm-narrowed",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:dashboard-algorithm-narrowed",
      "passed": true,
      "evidence": "The algorithm tool with its name fixed to shor: the space of every combination counted whole, and the next facet open as cells that narrow it further, until one combination remains and its cell is the walk.",
      "ms": 0
    },
    {
      "id": "example-tool:dashboard-index",
      "passed": true,
      "evidence": "dashboard",
      "ms": 0
    },
    {
      "id": "license:dashboard-index",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:dashboard-index",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:dashboard-index",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:dashboard-index",
      "passed": true,
      "evidence": "Every tool with the size of its input space: how many combinations its enumerable facets admit, which properties stay free, and the address of its own dashboard.",
      "ms": 0
    },
    {
      "id": "example-tool:clone-language",
      "passed": true,
      "evidence": "clone",
      "ms": 0
    },
    {
      "id": "license:clone-language",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:clone-language",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:clone-language",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:clone-language",
      "passed": true,
      "evidence": "The language toolbox cloned whole under a new name: its two tools with their schemas, its instructions, directions and examples, its selftest run now; the quantum state is never cloned, its classical description is.",
      "ms": 0
    },
    {
      "id": "example-tool:metrics-live",
      "passed": true,
      "evidence": "metrics",
      "ms": 0
    },
    {
      "id": "license:metrics-live",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:metrics-live",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:metrics-live",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:metrics-live",
      "passed": true,
      "evidence": "The tree's metrics computed now: tools, toolboxes, examples and how many a theorem backs, the kernel's counts, leads by status, the audit, the balancer.",
      "ms": 0
    },
    {
      "id": "example-tool:processor-willow",
      "passed": true,
      "evidence": "processor",
      "ms": 0
    },
    {
      "id": "license:processor-willow",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:processor-willow",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:processor-willow",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:processor-willow",
      "passed": true,
      "evidence": "How many qubits Willow has, as its spec sheet states it: 105, with average connectivity 3.47.",
      "ms": 0
    },
    {
      "id": "example-tool:processor-sycamore",
      "passed": true,
      "evidence": "processor",
      "ms": 0
    },
    {
      "id": "license:processor-sycamore",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:processor-sycamore",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:processor-sycamore",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 1
    },
    {
      "id": "example:processor-sycamore",
      "passed": true,
      "evidence": "Sycamore from its printed diagram: 54 qubits and 88 couplers, derived and stated.",
      "ms": 0
    },
    {
      "id": "example-tool:circuit-hadamard-amplitudes",
      "passed": true,
      "evidence": "circuit",
      "ms": 0
    },
    {
      "id": "license:circuit-hadamard-amplitudes",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:circuit-hadamard-amplitudes",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:circuit-hadamard-amplitudes",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:circuit-hadamard-amplitudes",
      "passed": true,
      "evidence": "A Hadamard gives two amplitudes of 1/√2.",
      "ms": 0
    },
    {
      "id": "example-tool:circuit-hadamard-sampled",
      "passed": true,
      "evidence": "circuit",
      "ms": 0
    },
    {
      "id": "license:circuit-hadamard-sampled",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:circuit-hadamard-sampled",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:circuit-hadamard-sampled",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:circuit-hadamard-sampled",
      "passed": true,
      "evidence": "The same circuit measured: 400 bitstrings, each 0 or 1, in a histogram.",
      "ms": 0
    },
    {
      "id": "example-tool:circuit-bit-flip-noise",
      "passed": true,
      "evidence": "circuit",
      "ms": 0
    },
    {
      "id": "license:circuit-bit-flip-noise",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:circuit-bit-flip-noise",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:circuit-bit-flip-noise",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:circuit-bit-flip-noise",
      "passed": true,
      "evidence": "An X gate under a bit-flip channel of p = 0.1 on the density matrix: probability 0.1 of reading 0, purity 0.1² + 0.9² = 0.82. Noise does not sample; it returns the mixed state.",
      "ms": 0
    },
    {
      "id": "example-tool:echo-returns",
      "passed": true,
      "evidence": "echo",
      "ms": 0
    },
    {
      "id": "license:echo-returns",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:echo-returns",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:echo-returns",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:echo-returns",
      "passed": true,
      "evidence": "H forward, Z, H back is X: the echo is destroyed, so the return probability is 0.",
      "ms": 0
    },
    {
      "id": "example-tool:echo-benchmark",
      "passed": true,
      "evidence": "echo_benchmark",
      "ms": 0
    },
    {
      "id": "license:echo-benchmark",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:echo-benchmark",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:echo-benchmark",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:echo-benchmark",
      "passed": true,
      "evidence": "Quantum Echoes as Google states it: Willow, 105 qubits, the 13,000× figure (Google's, not this tree's).",
      "ms": 0
    },
    {
      "id": "example-tool:roadmap-all",
      "passed": true,
      "evidence": "roadmap",
      "ms": 0
    },
    {
      "id": "license:roadmap-all",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:roadmap-all",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:roadmap-all",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:roadmap-all",
      "passed": true,
      "evidence": "The six roadmap milestones and the four application bands.",
      "ms": 0
    },
    {
      "id": "example-tool:roadmap-milestone-3",
      "passed": true,
      "evidence": "roadmap",
      "ms": 0
    },
    {
      "id": "license:roadmap-milestone-3",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:roadmap-milestone-3",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:roadmap-milestone-3",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:roadmap-milestone-3",
      "passed": true,
      "evidence": "One milestone by number.",
      "ms": 0
    },
    {
      "id": "example-tool:algorithm-shor-15",
      "passed": true,
      "evidence": "algorithm",
      "ms": 0
    },
    {
      "id": "license:algorithm-shor-15",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:algorithm-shor-15",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:algorithm-shor-15",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:algorithm-shor-15",
      "passed": true,
      "evidence": "Shor's circuit on the state-vector simulator: order 4 and factors 3 × 5 for N = 15, a = 7.",
      "ms": 0
    },
    {
      "id": "example-tool:algorithm-qft-3",
      "passed": true,
      "evidence": "algorithm",
      "ms": 0
    },
    {
      "id": "license:algorithm-qft-3",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:algorithm-qft-3",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:algorithm-qft-3",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:algorithm-qft-3",
      "passed": true,
      "evidence": "The QFT of |5⟩ on three qubits: eight amplitudes of equal magnitude.",
      "ms": 0
    },
    {
      "id": "example-tool:algorithm-grover",
      "passed": true,
      "evidence": "algorithm",
      "ms": 0
    },
    {
      "id": "license:algorithm-grover",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:algorithm-grover",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:algorithm-grover",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:algorithm-grover",
      "passed": true,
      "evidence": "Grover on two qubits finds the marked |00⟩ with certainty.",
      "ms": 0
    },
    {
      "id": "example-tool:algorithm-teleportation",
      "passed": true,
      "evidence": "algorithm",
      "ms": 0
    },
    {
      "id": "license:algorithm-teleportation",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:algorithm-teleportation",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:algorithm-teleportation",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:algorithm-teleportation",
      "passed": true,
      "evidence": "Teleportation: the received state matches the message on X, Y and Z.",
      "ms": 0
    },
    {
      "id": "example-tool:algorithm-phase-estimation",
      "passed": true,
      "evidence": "algorithm",
      "ms": 0
    },
    {
      "id": "license:algorithm-phase-estimation",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:algorithm-phase-estimation",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:algorithm-phase-estimation",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:algorithm-phase-estimation",
      "passed": true,
      "evidence": "Phase estimation reads θ = 0.25 exactly in three bits.",
      "ms": 0
    },
    {
      "id": "example-tool:algorithm-qaoa",
      "passed": true,
      "evidence": "algorithm",
      "ms": 0
    },
    {
      "id": "license:algorithm-qaoa",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:algorithm-qaoa",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 1
    },
    {
      "id": "accessibility:algorithm-qaoa",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:algorithm-qaoa",
      "passed": true,
      "evidence": "QAOA on the Cirq page's instance, sampled from the state's probabilities.",
      "ms": 0
    },
    {
      "id": "example-tool:software",
      "passed": true,
      "evidence": "software",
      "ms": 0
    },
    {
      "id": "license:software",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:software",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:software",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:software",
      "passed": true,
      "evidence": "The Software page tools; only Cirq is implemented here.",
      "ms": 0
    },
    {
      "id": "example-tool:statements-cirq",
      "passed": true,
      "evidence": "statements",
      "ms": 0
    },
    {
      "id": "license:statements-cirq",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:statements-cirq",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:statements-cirq",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:statements-cirq",
      "passed": true,
      "evidence": "One statement by topic.",
      "ms": 0
    },
    {
      "id": "example-tool:repositories",
      "passed": true,
      "evidence": "repositories",
      "ms": 0
    },
    {
      "id": "license:repositories",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:repositories",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:repositories",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:repositories",
      "passed": true,
      "evidence": "The fifteen quantumlib repositories.",
      "ms": 0
    },
    {
      "id": "example-tool:leads-all",
      "passed": true,
      "evidence": "leads",
      "ms": 0
    },
    {
      "id": "license:leads-all",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 5
    },
    {
      "id": "css-vars:leads-all",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 4
    },
    {
      "id": "accessibility:leads-all",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 1
    },
    {
      "id": "example:leads-all",
      "passed": true,
      "evidence": "Every lead with its status; the counts add up to the total.",
      "ms": 0
    },
    {
      "id": "example-tool:qec-bit-flip-0.1",
      "passed": true,
      "evidence": "quantum-error-correction",
      "ms": 0
    },
    {
      "id": "license:qec-bit-flip-0.1",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:qec-bit-flip-0.1",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:qec-bit-flip-0.1",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:qec-bit-flip-0.1",
      "passed": true,
      "evidence": "The three-qubit repetition code on the density matrix at p = 0.1: logical error 3p² − 2p³ = 0.028, below the raw 0.1.",
      "ms": 0
    },
    {
      "id": "example-tool:chemistry-h2",
      "passed": true,
      "evidence": "chemistry-simulation",
      "ms": 0
    },
    {
      "id": "license:chemistry-h2",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 1
    },
    {
      "id": "css-vars:chemistry-h2",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:chemistry-h2",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:chemistry-h2",
      "passed": true,
      "evidence": "H₂ in STO-3G at 0.7414 Å: the Hartree–Fock energy from the simulator is −1.1167 Ha and the variational minimum lies below it near −1.137 Ha.",
      "ms": 0
    },
    {
      "id": "example-tool:ftqc-all",
      "passed": true,
      "evidence": "fault-tolerant-design",
      "ms": 0
    },
    {
      "id": "license:ftqc-all",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:ftqc-all",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:ftqc-all",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:ftqc-all",
      "passed": true,
      "evidence": "Resource counts read from six circuits this tree builds; one Toffoli costs 7 T gates by the cited decomposition.",
      "ms": 0
    },
    {
      "id": "example-tool:quantumlib-cirq",
      "passed": true,
      "evidence": "quantumlib",
      "ms": 0
    },
    {
      "id": "license:quantumlib-cirq",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:quantumlib-cirq",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:quantumlib-cirq",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:quantumlib-cirq",
      "passed": true,
      "evidence": "What this tree implements of Cirq, as a cross-reference of its exports.",
      "ms": 0
    },
    {
      "id": "example-tool:clay-register",
      "passed": true,
      "evidence": "clay",
      "ms": 0
    },
    {
      "id": "license:clay-register",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:clay-register",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:clay-register",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:clay-register",
      "passed": true,
      "evidence": "The 54 Clay relations recomputed in exact integer arithmetic: all hold, the widest value needs 33 bits (amplitudes = 2^32), three 16-bit limbs on an 8-bit machine.",
      "ms": 0
    },
    {
      "id": "example-tool:clay-reflection",
      "passed": true,
      "evidence": "clay",
      "ms": 0
    },
    {
      "id": "license:clay-reflection",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 1
    },
    {
      "id": "css-vars:clay-reflection",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:clay-reflection",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:clay-reflection",
      "passed": true,
      "evidence": "The register read by the technique: every relation's value as a vortex seed with its σ_10 reflection and both trinities, the relations whose seeds reflect each other paired, the fixed ones (seed 5) and the ones in the key's trinity named, and the plan to ask the unit's sequence door every value.",
      "ms": 0
    },
    {
      "id": "example-tool:clay-relation-15",
      "passed": true,
      "evidence": "clay",
      "ms": 0
    },
    {
      "id": "license:clay-relation-15",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:clay-relation-15",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:clay-relation-15",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:clay-relation-15",
      "passed": true,
      "evidence": "One relation: magicBlock = glProd hexbit seed = qftDepth vertices = 15.",
      "ms": 0
    },
    {
      "id": "example-tool:verify-seal-and-content",
      "passed": true,
      "evidence": "verify",
      "ms": 0
    },
    {
      "id": "license:verify-seal-and-content",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:verify-seal-and-content",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:verify-seal-and-content",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:verify-seal-and-content",
      "passed": true,
      "evidence": "One UUID checked cheaply: its seal from its own 31 nibbles, and its content by one fold.",
      "ms": 0
    },
    {
      "id": "example-tool:verify-tampered",
      "passed": true,
      "evidence": "verify",
      "ms": 0
    },
    {
      "id": "license:verify-tampered",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:verify-tampered",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:verify-tampered",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:verify-tampered",
      "passed": true,
      "evidence": "A UUID with one nibble changed: the content-decided version no longer agrees, and no content was needed to see it.",
      "ms": 0
    },
    {
      "id": "example-tool:match-willow",
      "passed": true,
      "evidence": "match",
      "ms": 0
    },
    {
      "id": "license:match-willow",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:match-willow",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 1
    },
    {
      "id": "accessibility:match-willow",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:match-willow",
      "passed": true,
      "evidence": "Any statement, matched: this one is served by the processor tool.",
      "ms": 0
    },
    {
      "id": "example-tool:match-glagolitic",
      "passed": true,
      "evidence": "match",
      "ms": 0
    },
    {
      "id": "license:match-glagolitic",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:match-glagolitic",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:match-glagolitic",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:match-glagolitic",
      "passed": true,
      "evidence": "A Glagolitic numeral read as the integer 15 before the match: served by the algorithm tool, factored 3 × 5 in the reflection.",
      "ms": 0
    },
    {
      "id": "example-tool:match-bulgarian",
      "passed": true,
      "evidence": "match",
      "ms": 0
    },
    {
      "id": "license:match-bulgarian",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:match-bulgarian",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 1
    },
    {
      "id": "accessibility:match-bulgarian",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:match-bulgarian",
      "passed": true,
      "evidence": "A statement in Bulgarian with a Glagolitic numeral, translated by vocabulary offline, matched, and answered with its verdict in Bulgarian.",
      "ms": 0
    },
    {
      "id": "example-tool:match-theorem-first",
      "passed": true,
      "evidence": "match",
      "ms": 0
    },
    {
      "id": "license:match-theorem-first",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:match-theorem-first",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:match-theorem-first",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:match-theorem-first",
      "passed": true,
      "evidence": "Solved first by the QPU textbook: the statement names a kernel-accepted theorem, so it is served by that theorem, proven, before any tool is called.",
      "ms": 0
    },
    {
      "id": "example-tool:match-pattern-uuid",
      "passed": true,
      "evidence": "match",
      "ms": 0
    },
    {
      "id": "license:match-pattern-uuid",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:match-pattern-uuid",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:match-pattern-uuid",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:match-pattern-uuid",
      "passed": true,
      "evidence": "Pattern recognition: a UUID in the statement opens the verify door before any token match; the match names the pattern and carries the verification.",
      "ms": 0
    },
    {
      "id": "example-tool:match-pattern-dashboard",
      "passed": true,
      "evidence": "match",
      "ms": 0
    },
    {
      "id": "license:match-pattern-dashboard",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:match-pattern-dashboard",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:match-pattern-dashboard",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:match-pattern-dashboard",
      "passed": true,
      "evidence": "Pattern recognition: \"dashboard of <tool>\" lays the tool out whole.",
      "ms": 0
    },
    {
      "id": "example-tool:match-rsa-2048",
      "passed": true,
      "evidence": "match",
      "ms": 0
    },
    {
      "id": "license:match-rsa-2048",
      "passed": true,
      "evidence": "result, widget and block carry the licence",
      "ms": 0
    },
    {
      "id": "css-vars:match-rsa-2048",
      "passed": true,
      "evidence": "the block root carries its UUID's custom properties and no hex colour; the stylesheet draws it",
      "ms": 0
    },
    {
      "id": "accessibility:match-rsa-2048",
      "passed": true,
      "evidence": "images named, tables headed, links worded, a heading present",
      "ms": 0
    },
    {
      "id": "example:match-rsa-2048",
      "passed": true,
      "evidence": "Any statement, proved impossible from the schema: algorithm.N is bounded to 21; the cluster names what is served instead.",
      "ms": 0
    },
    {
      "id": "example-tool:audit-self",
      "passed": true,
      "evidence": "audit",
      "ms": 0
    },
    {
      "id": "toolbox:processor",
      "passed": true,
      "evidence": "in google",
      "ms": 0
    },
    {
      "id": "toolbox:circuit",
      "passed": true,
      "evidence": "in google",
      "ms": 0
    },
    {
      "id": "toolbox:echo",
      "passed": true,
      "evidence": "in google",
      "ms": 0
    },
    {
      "id": "toolbox:echo_benchmark",
      "passed": true,
      "evidence": "in google",
      "ms": 0
    },
    {
      "id": "toolbox:roadmap",
      "passed": true,
      "evidence": "in google",
      "ms": 0
    },
    {
      "id": "toolbox:algorithm",
      "passed": true,
      "evidence": "in google",
      "ms": 0
    },
    {
      "id": "toolbox:software",
      "passed": true,
      "evidence": "in google",
      "ms": 0
    },
    {
      "id": "toolbox:statements",
      "passed": true,
      "evidence": "in google",
      "ms": 0
    },
    {
      "id": "toolbox:repositories",
      "passed": true,
      "evidence": "in google",
      "ms": 0
    },
    {
      "id": "toolbox:quantumlib",
      "passed": true,
      "evidence": "in google",
      "ms": 0
    },
    {
      "id": "toolbox:quantum-error-correction",
      "passed": true,
      "evidence": "in google",
      "ms": 0
    },
    {
      "id": "toolbox:chemistry-simulation",
      "passed": true,
      "evidence": "in google",
      "ms": 0
    },
    {
      "id": "toolbox:fault-tolerant-design",
      "passed": true,
      "evidence": "in google",
      "ms": 0
    },
    {
      "id": "toolbox:leads",
      "passed": true,
      "evidence": "in tree",
      "ms": 0
    },
    {
      "id": "toolbox:audit",
      "passed": true,
      "evidence": "in tree",
      "ms": 0
    },
    {
      "id": "toolbox:match",
      "passed": true,
      "evidence": "in tree",
      "ms": 0
    },
    {
      "id": "toolbox:clay",
      "passed": true,
      "evidence": "in tree",
      "ms": 0
    },
    {
      "id": "toolbox:verify",
      "passed": true,
      "evidence": "in tree",
      "ms": 0
    },
    {
      "id": "toolbox:metrics",
      "passed": true,
      "evidence": "in tree",
      "ms": 0
    },
    {
      "id": "toolbox:textbook",
      "passed": true,
      "evidence": "in tree",
      "ms": 0
    },
    {
      "id": "toolbox:css",
      "passed": true,
      "evidence": "in tree",
      "ms": 0
    },
    {
      "id": "toolbox:dashboard",
      "passed": true,
      "evidence": "in tree",
      "ms": 0
    },
    {
      "id": "toolbox:clone",
      "passed": true,
      "evidence": "in tree",
      "ms": 0
    },
    {
      "id": "toolbox:discover",
      "passed": true,
      "evidence": "in flow",
      "ms": 0
    },
    {
      "id": "toolbox:wave",
      "passed": true,
      "evidence": "in flow",
      "ms": 0
    },
    {
      "id": "toolbox:readiness",
      "passed": true,
      "evidence": "in flow",
      "ms": 0
    },
    {
      "id": "toolbox:imagine",
      "passed": true,
      "evidence": "in flow",
      "ms": 0
    },
    {
      "id": "toolbox:e2e",
      "passed": true,
      "evidence": "in flow",
      "ms": 0
    },
    {
      "id": "toolbox:translate",
      "passed": true,
      "evidence": "in language",
      "ms": 0
    },
    {
      "id": "toolbox:prose",
      "passed": true,
      "evidence": "in language",
      "ms": 0
    },
    {
      "id": "toolbox:mongo",
      "passed": true,
      "evidence": "in raid",
      "ms": 0
    },
    {
      "id": "toolbox:stripe",
      "passed": true,
      "evidence": "in billing",
      "ms": 0
    },
    {
      "id": "toolbox:legal",
      "passed": true,
      "evidence": "in legal",
      "ms": 0
    },
    {
      "id": "toolbox:repository",
      "passed": true,
      "evidence": "in repository",
      "ms": 0
    },
    {
      "id": "toolbox:jsonld",
      "passed": true,
      "evidence": "in standards",
      "ms": 0
    },
    {
      "id": "toolbox:codes",
      "passed": true,
      "evidence": "in standards",
      "ms": 0
    },
    {
      "id": "toolbox:payload",
      "passed": true,
      "evidence": "in payload",
      "ms": 0
    },
    {
      "id": "toolbox:configure",
      "passed": true,
      "evidence": "in payload",
      "ms": 0
    },
    {
      "id": "toolbox:extend",
      "passed": true,
      "evidence": "in extension",
      "ms": 0
    },
    {
      "id": "toolbox:fold",
      "passed": true,
      "evidence": "in crypto",
      "ms": 0
    },
    {
      "id": "toolbox:seal",
      "passed": true,
      "evidence": "in crypto",
      "ms": 0
    },
    {
      "id": "selftest:google:google:processor-willow",
      "passed": true,
      "evidence": "How many qubits Willow has, as its spec sheet states it: 105, with average connectivity 3.47.",
      "ms": 1
    },
    {
      "id": "selftest:google:google:processor-sycamore",
      "passed": true,
      "evidence": "Sycamore from its printed diagram: 54 qubits and 88 couplers, derived and stated.",
      "ms": 0
    },
    {
      "id": "selftest:google:google:circuit-hadamard-amplitudes",
      "passed": true,
      "evidence": "A Hadamard gives two amplitudes of 1/√2.",
      "ms": 0
    },
    {
      "id": "selftest:google:google:circuit-hadamard-sampled",
      "passed": true,
      "evidence": "The same circuit measured: 400 bitstrings, each 0 or 1, in a histogram.",
      "ms": 0
    },
    {
      "id": "selftest:google:google:circuit-bit-flip-noise",
      "passed": true,
      "evidence": "An X gate under a bit-flip channel of p = 0.1 on the density matrix: probability 0.1 of reading 0, purity 0.1² + 0.9² = 0.82. Noise does not sample; it returns the mixed state.",
      "ms": 0
    },
    {
      "id": "selftest:google:google:echo-returns",
      "passed": true,
      "evidence": "H forward, Z, H back is X: the echo is destroyed, so the return probability is 0.",
      "ms": 0
    },
    {
      "id": "selftest:google:google:echo-benchmark",
      "passed": true,
      "evidence": "Quantum Echoes as Google states it: Willow, 105 qubits, the 13,000× figure (Google's, not this tree's).",
      "ms": 0
    },
    {
      "id": "selftest:google:google:roadmap-all",
      "passed": true,
      "evidence": "The six roadmap milestones and the four application bands.",
      "ms": 0
    },
    {
      "id": "selftest:google:google:roadmap-milestone-3",
      "passed": true,
      "evidence": "One milestone by number.",
      "ms": 0
    },
    {
      "id": "selftest:google:google:algorithm-shor-15",
      "passed": true,
      "evidence": "Shor's circuit on the state-vector simulator: order 4 and factors 3 × 5 for N = 15, a = 7.",
      "ms": 0
    },
    {
      "id": "selftest:google:google:algorithm-qft-3",
      "passed": true,
      "evidence": "The QFT of |5⟩ on three qubits: eight amplitudes of equal magnitude.",
      "ms": 0
    },
    {
      "id": "selftest:google:google:algorithm-grover",
      "passed": true,
      "evidence": "Grover on two qubits finds the marked |00⟩ with certainty.",
      "ms": 0
    },
    {
      "id": "selftest:google:google:algorithm-teleportation",
      "passed": true,
      "evidence": "Teleportation: the received state matches the message on X, Y and Z.",
      "ms": 0
    },
    {
      "id": "selftest:google:google:algorithm-phase-estimation",
      "passed": true,
      "evidence": "Phase estimation reads θ = 0.25 exactly in three bits.",
      "ms": 0
    },
    {
      "id": "selftest:google:google:algorithm-qaoa",
      "passed": true,
      "evidence": "QAOA on the Cirq page's instance, sampled from the state's probabilities.",
      "ms": 0
    },
    {
      "id": "selftest:google:google:software",
      "passed": true,
      "evidence": "The Software page tools; only Cirq is implemented here.",
      "ms": 0
    },
    {
      "id": "selftest:google:google:statements-cirq",
      "passed": true,
      "evidence": "One statement by topic.",
      "ms": 0
    },
    {
      "id": "selftest:google:google:repositories",
      "passed": true,
      "evidence": "The fifteen quantumlib repositories.",
      "ms": 0
    },
    {
      "id": "selftest:google:google:qec-bit-flip-0.1",
      "passed": true,
      "evidence": "The three-qubit repetition code on the density matrix at p = 0.1: logical error 3p² − 2p³ = 0.028, below the raw 0.1.",
      "ms": 0
    },
    {
      "id": "selftest:google:google:chemistry-h2",
      "passed": true,
      "evidence": "H₂ in STO-3G at 0.7414 Å: the Hartree–Fock energy from the simulator is −1.1167 Ha and the variational minimum lies below it near −1.137 Ha.",
      "ms": 0
    },
    {
      "id": "selftest:google:google:ftqc-all",
      "passed": true,
      "evidence": "Resource counts read from six circuits this tree builds; one Toffoli costs 7 T gates by the cited decomposition.",
      "ms": 0
    },
    {
      "id": "selftest:google:google:quantumlib-cirq",
      "passed": true,
      "evidence": "What this tree implements of Cirq, as a cross-reference of its exports.",
      "ms": 0
    },
    {
      "id": "selftest:google",
      "passed": true,
      "evidence": "22 of 22 checks pass",
      "ms": 0
    },
    {
      "id": "selftest:tree:tree:match-serves",
      "passed": true,
      "evidence": "served via processor",
      "ms": 4
    },
    {
      "id": "selftest:tree",
      "passed": true,
      "evidence": "1 of 1 checks pass",
      "ms": 0
    },
    {
      "id": "selftest:flow:discover:requests-answerable",
      "passed": true,
      "evidence": "23 requests, every one answered by the client fixture",
      "ms": 1
    },
    {
      "id": "selftest:flow:discover:follow-ups",
      "passed": true,
      "evidence": "follow-ups for verify_claim, sign_commit: the catalogue doors that answer a verdict and are not in tools/list",
      "ms": 0
    },
    {
      "id": "selftest:flow:discover:no-third-wave",
      "passed": true,
      "evidence": "every follow-up answered, nothing left to ask",
      "ms": 0
    },
    {
      "id": "selftest:flow:discover:doors-read",
      "passed": true,
      "evidence": "5 doors: list_tools, get_rights, verify_claim, get_css, sign_commit",
      "ms": 1
    },
    {
      "id": "selftest:flow:discover:capabilities",
      "passed": true,
      "evidence": "{\"statementVerdict\":[\"verify_claim\"],\"signing\":[\"sign_commit\"],\"readiness\":[],\"addressing\":[],\"rbac\":[],\"metaphysics\":[]}",
      "ms": 0
    },
    {
      "id": "selftest:flow:discover:openapi-paths",
      "passed": true,
      "evidence": "openapi 3.1.0: /repos/{owner}/{repo}, /orgs/{org}/repos",
      "ms": 0
    },
    {
      "id": "selftest:flow:discover:openapi-yaml",
      "passed": true,
      "evidence": "yaml paths read",
      "ms": 0
    },
    {
      "id": "selftest:flow:discover:oai-and-html",
      "passed": true,
      "evidence": "identify and html page detected",
      "ms": 0
    },
    {
      "id": "selftest:flow:discover:leads",
      "passed": true,
      "evidence": "18 contract leads: the html page and the hosts with no machine contract named",
      "ms": 0
    },
    {
      "id": "selftest:flow:discover:page",
      "passed": true,
      "evidence": "the page renders the hosts table",
      "ms": 0
    },
    {
      "id": "selftest:flow:wave:requests",
      "passed": true,
      "evidence": "6 requests from 3 leads, each with verifier, url, check and leads",
      "ms": 1
    },
    {
      "id": "selftest:flow:wave:notes",
      "passed": true,
      "evidence": "titles and GitHub descriptions read from the bodies",
      "ms": 0
    },
    {
      "id": "selftest:flow:wave:contracted",
      "passed": true,
      "evidence": "yes inside the discovered contract, no outside it, unknown where no contract was discovered",
      "ms": 0
    },
    {
      "id": "selftest:flow:wave:summary",
      "passed": true,
      "evidence": "{\"github\":{\"requests\":2,\"ok\":2,\"contracted\":1,\"uncontracted\":1},\"source-page\":{\"requests\":3,\"ok\":2,\"contracted\":0,\"uncontracted\":0}}",
      "ms": 0
    },
    {
      "id": "selftest:flow:wave:page",
      "passed": true,
      "evidence": "the page renders the summary row",
      "ms": 0
    },
    {
      "id": "selftest:flow:readiness:judge",
      "passed": true,
      "evidence": "{\"served-one\":\"served\",\"cleanup-gone\":\"refuted\",\"cleanup-back\":\"trial\",\"learn\":\"refuted\",\"partial-one\":\"trial\",\"willow-title\":\"served\",\"page:cirq/build\":\"refuted\",\"declared\":\"refuted\",\"owed\":\"trial\"}",
      "ms": 8
    },
    {
      "id": "selftest:flow:readiness:judge-evidence",
      "passed": true,
      "evidence": "HTTP 404 at https://quantumai.google/learn on 2026-01-01 | the match tool serves the page's title \"How many qubits does | measured not served: the surface covers 0% of the page's tit",
      "ms": 0
    },
    {
      "id": "selftest:flow:readiness:sources",
      "passed": true,
      "evidence": "quantumai.google 1 open of 6; scripts 1 open of 2; uuidna.com 1 open of 1",
      "ms": 0
    },
    {
      "id": "selftest:flow:readiness:border-plan",
      "passed": true,
      "evidence": "[{\"door\":\"verify_claim\",\"host\":\"unit.test\",\"arguments\":{\"statement\":\"clay_sigma: 1 + 1 = 2\"}}]",
      "ms": 0
    },
    {
      "id": "selftest:flow:readiness:border-read",
      "passed": true,
      "evidence": "verify_claim:VERIFIED:true deposit_trial:the edge does not ho:false prove_verdict:UNVERIFIED:false",
      "ms": 0
    },
    {
      "id": "selftest:flow:readiness:page",
      "passed": true,
      "evidence": "the page renders the border verdict",
      "ms": 0
    },
    {
      "id": "selftest:flow:imagine:subset",
      "passed": true,
      "evidence": "willow-spec:impossible learn:impossible; 156 imagined",
      "ms": 8
    },
    {
      "id": "selftest:flow:discover:lead-asks-the-registry-first",
      "passed": true,
      "evidence": "documentation, cloudflare, servers asked; 2 related, 2 remote(s) to extend",
      "ms": 0
    },
    {
      "id": "selftest:flow:e2e:corrected-by-majority",
      "passed": true,
      "evidence": "c1: corrected, syndrome b c",
      "ms": 1
    },
    {
      "id": "selftest:flow:e2e:uncorrectable-without-majority",
      "passed": true,
      "evidence": "c2: uncorrectable, logical error rate 0.5",
      "ms": 0
    },
    {
      "id": "selftest:flow:e2e:errors-are-uuid-blocks",
      "passed": true,
      "evidence": "4 error blocks (the two suspects of an uncorrectable combination count), deterministic uuids, no bodies",
      "ms": 0
    },
    {
      "id": "selftest:flow:e2e:competition-fastest-correct-code-wins",
      "passed": true,
      "evidence": "c1 won by tree-reference at 10 ms against majority at 20; c2 has 3 possibilities and no winner; 10 ms saved",
      "ms": 0
    },
    {
      "id": "selftest:flow:e2e:teleport-materialised-or-erased",
      "passed": true,
      "evidence": "two 304s with the held hash materialise; a 304 echoing another hash is an erasure",
      "ms": 0
    },
    {
      "id": "selftest:flow:e2e:involution-proves-at-the-edge",
      "passed": true,
      "evidence": "two 304 copies: agree, won by involution at 3 ms",
      "ms": 0
    },
    {
      "id": "selftest:flow:e2e:rates-against-textbook",
      "passed": true,
      "evidence": "p=0.8, textbook 0.8960000000000001, 4 leads",
      "ms": 0
    },
    {
      "id": "selftest:flow",
      "passed": true,
      "evidence": "30 of 30 checks pass",
      "ms": 0
    },
    {
      "id": "selftest:language:language:round-trip:bg",
      "passed": true,
      "evidence": "77 terms return through bg",
      "ms": 16
    },
    {
      "id": "selftest:language:language:coverage-measured",
      "passed": true,
      "evidence": "bg: 77 terms, 18 surface terms missing (refuted, trial, requests, results, discovery, plan)",
      "ms": 0
    },
    {
      "id": "selftest:language:language:prose-bg",
      "passed": true,
      "evidence": "tree toolbox: tree knows itself. clay инструмент answered: total 54, holding 54, max bits 33. how to use it: call match",
      "ms": 0
    },
    {
      "id": "selftest:language:language:match-in-bg",
      "passed": true,
      "evidence": "served → обслужена",
      "ms": 0
    },
    {
      "id": "selftest:language",
      "passed": true,
      "evidence": "4 of 4 checks pass",
      "ms": 0
    },
    {
      "id": "selftest:raid:raid:find-ops",
      "passed": true,
      "evidence": "or sorted by title (Quantum Echoes before Sycamore), dotted path, regex, in, nin, exists",
      "ms": 1
    },
    {
      "id": "selftest:raid:raid:find-skip-limit",
      "passed": true,
      "evidence": "skip and limit only when asked; no cap otherwise",
      "ms": 0
    },
    {
      "id": "selftest:raid:raid:update-ops",
      "passed": true,
      "evidence": "set, inc, push, unset; the source document untouched",
      "ms": 0
    },
    {
      "id": "selftest:raid:raid:entries-addressed",
      "passed": true,
      "evidence": "same content, same address; a replacement links what it replaces",
      "ms": 0
    },
    {
      "id": "selftest:raid:raid:unported-refused",
      "passed": true,
      "evidence": "an operator not ported throws, never guesses",
      "ms": 0
    },
    {
      "id": "selftest:raid",
      "passed": true,
      "evidence": "5 of 5 checks pass",
      "ms": 0
    },
    {
      "id": "selftest:billing:billing:sha256-vector",
      "passed": true,
      "evidence": "RFC 2104 / Wikipedia HMAC-SHA256 vector",
      "ms": 1
    },
    {
      "id": "selftest:billing:billing:signature-valid",
      "passed": true,
      "evidence": "the tenant's own secret verifies",
      "ms": 0
    },
    {
      "id": "selftest:billing:billing:signature-other-tenant",
      "passed": true,
      "evidence": "another tenant's secret does not: the scenario between tenants",
      "ms": 0
    },
    {
      "id": "selftest:billing:billing:signature-replay",
      "passed": true,
      "evidence": "an old timestamp and an altered body are refused",
      "ms": 0
    },
    {
      "id": "selftest:billing:billing:idempotent",
      "passed": true,
      "evidence": "the same event gives the same address",
      "ms": 0
    },
    {
      "id": "selftest:billing:billing:links",
      "passed": true,
      "evidence": "a renewal links the grant, a refund links both, the domains carry over from the grant",
      "ms": 0
    },
    {
      "id": "selftest:billing:billing:state-across-domains",
      "passed": true,
      "evidence": "a licence bought at psg is honoured at uuidna and not at a domain it does not name",
      "ms": 0
    },
    {
      "id": "selftest:billing:billing:state-scenarios",
      "passed": true,
      "evidence": "renewed stays licensed; a refund at another tenant ends it; a dispute holds it; nothing is nothing",
      "ms": 0
    },
    {
      "id": "selftest:billing:billing:variants",
      "passed": true,
      "evidence": "a subscription change keeps the licence and records the new variant and quantity, linked to the grants",
      "ms": 0
    },
    {
      "id": "selftest:billing:billing:catalogue",
      "passed": true,
      "evidence": "per-tenant catalogue, metered variant, integer minor units",
      "ms": 0
    },
    {
      "id": "selftest:billing:billing:usage",
      "passed": true,
      "evidence": "calls in the period summed from usage entries, rounded up to thousands",
      "ms": 0
    },
    {
      "id": "selftest:billing:billing:settlement",
      "passed": true,
      "evidence": "net by currency, product and tenant from Stripe's own figures; the ledger content-addressed",
      "ms": 0
    },
    {
      "id": "selftest:billing:billing:plan",
      "passed": true,
      "evidence": "the plan names the tenant secret, the domains and an idempotency key",
      "ms": 0
    },
    {
      "id": "selftest:billing",
      "passed": true,
      "evidence": "13 of 13 checks pass",
      "ms": 0
    },
    {
      "id": "selftest:legal:legal:claims",
      "passed": true,
      "evidence": "21 claims: licence-spdx, licence-address, author-orcid, representation, disclaimer, citation-cff, zenodo-json, package-json…",
      "ms": 2
    },
    {
      "id": "selftest:legal:legal:security-checks",
      "passed": true,
      "evidence": "all pass on the fixture sources",
      "ms": 0
    },
    {
      "id": "selftest:legal:legal:security-catches",
      "passed": true,
      "evidence": "a live key literal and a secret in the handler are caught",
      "ms": 0
    },
    {
      "id": "selftest:legal:legal:plan-free-by-default",
      "passed": true,
      "evidence": "48 calls for 21 claims through 8 doors",
      "ms": 0
    },
    {
      "id": "selftest:legal:legal:plan-operator-override",
      "passed": true,
      "evidence": "the operator's list is used as given; an absent door is named, not guessed",
      "ms": 0
    },
    {
      "id": "selftest:legal:legal:audit-read",
      "passed": true,
      "evidence": "42 findings, drift imprint other-imprint vs 459a7ef3-7a8b-8d8e-893a-099292addcd5, refusals 1",
      "ms": 0
    },
    {
      "id": "selftest:legal:legal:page",
      "passed": true,
      "evidence": "the page renders the drift",
      "ms": 0
    },
    {
      "id": "selftest:legal:legal:tamper-evident",
      "passed": true,
      "evidence": "the same inputs give the same address; one changed line changes it",
      "ms": 0
    },
    {
      "id": "selftest:legal",
      "passed": true,
      "evidence": "8 of 8 checks pass",
      "ms": 0
    },
    {
      "id": "selftest:repository:repository:requests",
      "passed": true,
      "evidence": "4 requests, 3 inside GitHub's contract",
      "ms": 0
    },
    {
      "id": "selftest:repository:repository:no-remote",
      "passed": true,
      "evidence": "no remote, no requests; an ssh remote parses",
      "ms": 0
    },
    {
      "id": "selftest:repository:repository:leads",
      "passed": true,
      "evidence": "branch-only-local-rebuild-phase-1, branch-only-local-orphan-v1-1-1-audit, branch-only-remote-clean, tag-only-local-waves-complete, tag-only-remote-v1-0-1, tag-moved-v1-4-0, release-without-tag-v0-9-0, version-without-release-v1.4.0, zenodo-without-release-1-1-1, workspace-qpu-2",
      "ms": 0
    },
    {
      "id": "selftest:repository:repository:offline",
      "passed": true,
      "evidence": "without answers only the local facts speak: the second workspace",
      "ms": 0
    },
    {
      "id": "selftest:repository:repository:refusal",
      "passed": true,
      "evidence": "a refused request is recorded, never read as agreement",
      "ms": 0
    },
    {
      "id": "selftest:repository:repository:page",
      "passed": true,
      "evidence": "the page renders the tags row",
      "ms": 0
    },
    {
      "id": "selftest:repository:repository:github-mcp-doors",
      "passed": true,
      "evidence": "three doors (list_branches, list_tags, list_releases), their event-stream answers read into 2 branches, 1 tags, 1 release(s)",
      "ms": 0
    },
    {
      "id": "selftest:repository",
      "passed": true,
      "evidence": "7 of 7 checks pass",
      "ms": 0
    },
    {
      "id": "selftest:standards:standards:block",
      "passed": true,
      "evidence": "CreativeWork with ORCID author, ISO 8601 date, ISO 639-1 language",
      "ms": 1
    },
    {
      "id": "selftest:standards:standards:page",
      "passed": true,
      "evidence": "WebPage with identifier and locale",
      "ms": 0
    },
    {
      "id": "selftest:standards:standards:offer",
      "passed": true,
      "evidence": "Offer in ISO 4217 with a yearly UnitPriceSpecification",
      "ms": 0
    },
    {
      "id": "selftest:standards:standards:codes",
      "passed": true,
      "evidence": "locales 11 valid, currencies 3 valid, territory XX unknown",
      "ms": 0
    },
    {
      "id": "selftest:standards:standards:unmeasured",
      "passed": true,
      "evidence": "without the lists nothing is called unknown",
      "ms": 0
    },
    {
      "id": "selftest:standards:standards:detect",
      "passed": true,
      "evidence": "the vocabulary and a CLDR list are told apart",
      "ms": 0
    },
    {
      "id": "selftest:standards",
      "passed": true,
      "evidence": "6 of 6 checks pass",
      "ms": 0
    },
    {
      "id": "selftest:payload:payload:lexical-block",
      "passed": true,
      "evidence": "one qpu block of UUID logic in a lexical root: handle 941ef62e, program 13971143815128",
      "ms": 1
    },
    {
      "id": "selftest:payload:payload:next-rotated",
      "passed": true,
      "evidence": "the next uuid keeps the handle and the tail and rotates the program: 13971143815128 → 97114381512813",
      "ms": 0
    },
    {
      "id": "selftest:payload:payload:nested",
      "passed": true,
      "evidence": "parent and breadcrumbs follow the chain",
      "ms": 0
    },
    {
      "id": "selftest:payload:payload:seo-and-ld",
      "passed": true,
      "evidence": "SEO from Open Graph, JSON-LD and licence carried",
      "ms": 0
    },
    {
      "id": "selftest:payload:payload:small",
      "passed": true,
      "evidence": "2748 bytes without html: computed once, a few kilobytes",
      "ms": 0
    },
    {
      "id": "selftest:payload:configure:torus-closed",
      "passed": true,
      "evidence": "wrangler at 775bfca9-f529-5ca0-8248-8e39a0fe1bd4: seed 5, reflection 5, trinity 258",
      "ms": 0
    },
    {
      "id": "selftest:payload:configure:no-drift-with-itself",
      "passed": true,
      "evidence": "a JSONC text of the configuration drifts nowhere; a changed name and routes drift exactly there",
      "ms": 0
    },
    {
      "id": "selftest:payload:configure:tenants-named-never-valued",
      "passed": true,
      "evidence": "3 tenants, 11 secret names each, no value",
      "ms": 0
    },
    {
      "id": "selftest:payload:configure:payload-plugins",
      "passed": true,
      "evidence": "the eight default plugins, 256 combinations, the tenants in multi-tenant",
      "ms": 0
    },
    {
      "id": "selftest:payload:payload:website-is-what-payload-computes",
      "passed": true,
      "evidence": "12 collections, 30 blocks; two live block types in the source, a made-up one not; four plugins shared",
      "ms": 0
    },
    {
      "id": "selftest:payload:payload:skills-mapped",
      "passed": true,
      "evidence": "2 skills and 12 references, every one enacted by a tool of this tree",
      "ms": 0
    },
    {
      "id": "selftest:payload:configure:development-defines-the-version",
      "passed": true,
      "evidence": "a tool added: 1.5.0+e1.52f5656f; a tool gone: 2.0.0+e1.1b36032f; nothing changed: 1.4.0+e1.1ee0dda0 (the number stays; the build address moves)",
      "ms": 0
    },
    {
      "id": "selftest:payload:configure:single-digits-infinite-lifespan",
      "passed": true,
      "evidence": "minor carries at 10: 2.0.0+e1.1ee0dda0; major past 9 returns to 1 with the epoch: 1.0.0+e2.1b36032f; the build address is a function of the catalogue",
      "ms": 0
    },
    {
      "id": "selftest:payload:configure:migration-at-whole-uptime",
      "passed": true,
      "evidence": "five steps, no address moved",
      "ms": 0
    },
    {
      "id": "selftest:payload:configure:mcp-registration",
      "passed": true,
      "evidence": "the registration of 41 tools, through the extension toolbox",
      "ms": 0
    },
    {
      "id": "selftest:payload",
      "passed": true,
      "evidence": "15 of 15 checks pass",
      "ms": 0
    },
    {
      "id": "selftest:extension:extension:inward",
      "passed": true,
      "evidence": "1 door, takes query",
      "ms": 11
    },
    {
      "id": "selftest:extension:extension:stream-list",
      "passed": true,
      "evidence": "tools/list read from an event stream equals the array",
      "ms": 0
    },
    {
      "id": "selftest:extension:extension:outward",
      "passed": true,
      "evidence": "41 tools in the registration, every one with a schema",
      "ms": 0
    },
    {
      "id": "selftest:extension:extension:claude-mounts-both-halves",
      "passed": true,
      "evidence": "the server and its toolset under one name, the beta named, no key",
      "ms": 0
    },
    {
      "id": "selftest:extension:extension:identity",
      "passed": true,
      "evidence": "QPU extended by its own registration is the identity on the catalogue",
      "ms": 0
    },
    {
      "id": "selftest:extension:extension:served",
      "passed": true,
      "evidence": "an event-stream answer read back",
      "ms": 0
    },
    {
      "id": "selftest:extension:extension:refusal",
      "passed": true,
      "evidence": "a host's error is the error, not a result",
      "ms": 0
    },
    {
      "id": "selftest:extension:extension:request-without-token",
      "passed": true,
      "evidence": "the tool emits the request; the token is the client's",
      "ms": 0
    },
    {
      "id": "selftest:extension:extension:discover-defaults",
      "passed": true,
      "evidence": "discovery asks every Cloudflare server by default",
      "ms": 0
    },
    {
      "id": "selftest:extension",
      "passed": true,
      "evidence": "9 of 9 checks pass",
      "ms": 0
    },
    {
      "id": "selftest:crypto:crypto:pieces-under-the-bound",
      "passed": true,
      "evidence": "4 pieces, the largest 590 bytes under 600",
      "ms": 2
    },
    {
      "id": "selftest:crypto:crypto:reflective-boundary",
      "passed": true,
      "evidence": "σ_3(i) = 3 − i",
      "ms": 0
    },
    {
      "id": "selftest:crypto:crypto:key-names-its-piece",
      "passed": true,
      "evidence": "k27 sits in piece 2 by its key range",
      "ms": 0
    },
    {
      "id": "selftest:crypto:crypto:unfold-agrees",
      "passed": true,
      "evidence": "the pieces give back the whole and the root agrees",
      "ms": 0
    },
    {
      "id": "selftest:crypto:crypto:wrong-piece-named",
      "passed": true,
      "evidence": "a changed piece is named and the root disagrees",
      "ms": 0
    },
    {
      "id": "selftest:crypto:crypto:whole-fits",
      "passed": true,
      "evidence": "a payload under the bound is one piece, its own mirror",
      "ms": 0
    },
    {
      "id": "selftest:crypto:crypto:row-cut-at-characters",
      "passed": true,
      "evidence": "a single row above the bound is cut at characters",
      "ms": 0
    },
    {
      "id": "selftest:crypto:crypto:seal",
      "passed": true,
      "evidence": "SHA-256 and HMAC-SHA256 agree with the published vectors",
      "ms": 0
    },
    {
      "id": "selftest:crypto",
      "passed": true,
      "evidence": "8 of 8 checks pass",
      "ms": 0
    },
    {
      "id": "theorem-exists:stripe-catalogue",
      "passed": true,
      "evidence": "textbook_prices_are_variants_times_currencies is kernel-accepted (7 * 2 = 14)",
      "ms": 0
    },
    {
      "id": "theorem-exists:legal-audit-offline",
      "passed": true,
      "evidence": "textbook_uuid_is_36 is kernel-accepted (32 + 4 = 36)",
      "ms": 0
    },
    {
      "id": "theorem-exists:configure-migration",
      "passed": true,
      "evidence": "textbook_providers_are_tenants_plus_operator is kernel-accepted (2 + 1 = 3)",
      "ms": 0
    },
    {
      "id": "theorem-exists:configure-all",
      "passed": true,
      "evidence": "textbook_reflection_sums_to_ten is kernel-accepted (∀ (s : Nat), s ≤ 10 → s + (10 - s) = 10)",
      "ms": 0
    },
    {
      "id": "theorem-exists:configure-payload",
      "passed": true,
      "evidence": "textbook_plugin_combinations is kernel-accepted (2 ^ 8 = 256)",
      "ms": 0
    },
    {
      "id": "theorem-exists:payload-website",
      "passed": true,
      "evidence": "textbook_website_plugins_partition is kernel-accepted (4 + 3 + 1 = 8)",
      "ms": 0
    },
    {
      "id": "theorem-exists:payload-skills",
      "passed": true,
      "evidence": "textbook_skills_documents is kernel-accepted (2 + 12 = 14)",
      "ms": 0
    },
    {
      "id": "theorem-exists:payload-doc",
      "passed": true,
      "evidence": "textbook_uuid_is_36 is kernel-accepted (32 + 4 = 36)",
      "ms": 0
    },
    {
      "id": "theorem-exists:extend-in-request",
      "passed": true,
      "evidence": "textbook_integrations_are_ten is kernel-accepted (8 + 1 + 1 = 10)",
      "ms": 0
    },
    {
      "id": "theorem-exists:fold-ledger",
      "passed": true,
      "evidence": "textbook_fold_mirror is kernel-accepted (∀ (n i : Nat), i ≤ n → i + (n - i) = n)",
      "ms": 0
    },
    {
      "id": "theorem-exists:vortex-trinity",
      "passed": true,
      "evidence": "triad_reflect is kernel-accepted ((10 - 3 = 7 ∧ 10 - 6 = 4 ∧ 10 - 9 = 1) ∧ (10 - 7 = 3 ∧ 10 - 4 = 6 ∧ 10 - 1 = 9) )",
      "ms": 0
    },
    {
      "id": "theorem-exists:css-stylesheet",
      "passed": true,
      "evidence": "textbook_reflection_sums_to_ten is kernel-accepted (∀ (s : Nat), s ≤ 10 → s + (10 - s) = 10)",
      "ms": 0
    },
    {
      "id": "theorem-exists:clone-language",
      "passed": true,
      "evidence": "all_noclone is kernel-accepted (coins ≠ mintOf coins)",
      "ms": 0
    },
    {
      "id": "theorem-exists:clay-reflection",
      "passed": true,
      "evidence": "triad_reflect is kernel-accepted ((10 - 3 = 7 ∧ 10 - 6 = 4 ∧ 10 - 9 = 1) ∧ (10 - 7 = 3 ∧ 10 - 4 = 6 ∧ 10 - 1 = 9) )",
      "ms": 0
    },
    {
      "id": "theorem-exists:clay-relation-15",
      "passed": true,
      "evidence": "relation_15 is kernel-accepted (magicBlock = glProd hexbit seed ∧ magicBlock = qftDepth vertices)",
      "ms": 0
    },
    {
      "id": "theorem-exists:match-theorem-first",
      "passed": true,
      "evidence": "mersenne_127 is kernel-accepted (mintOf rays - seed = 127)",
      "ms": 0
    },
    {
      "id": "examples-backed-by-theorems",
      "passed": true,
      "evidence": "16 of 85 examples name the theorem that makes them true (stripe-catalogue→textbook_prices_are_variants_times_currencies, legal-audit-offline→textbook_uuid_is_36, configure-migration→textbook_providers_are_tenants_plus_operator, configure-all→textbook_reflection_sums_to_ten, configure-payload→textbook_plugin_combinations, payload-website→textbook_website_plugins_partition, payload-skills→textbook_skills_documents, payload-doc→textbook_uuid_is_36, extend-in-request→textbook_integrations_are_ten, fold-ledger→textbook_fold_mirror, vortex-trinity→triad_reflect, css-stylesheet→textbook_reflection_sums_to_ten, clone-language→all_noclone, clay-reflection→triad_reflect, clay-relation-15→relation_15, match-theorem-first→mersenne_127); the rest are the textbook, respected, each a lead for a theorem",
      "ms": 0
    },
    {
      "id": "example-ids-unique",
      "passed": true,
      "evidence": "85 unique ids",
      "ms": 0
    },
    {
      "id": "leads:served-have-tools",
      "passed": true,
      "evidence": "256 served leads name a served tool",
      "ms": 0
    },
    {
      "id": "leads:others-have-reasons",
      "passed": true,
      "evidence": "2444 non-served leads carry a reason",
      "ms": 0
    },
    {
      "id": "error:unknown-tool",
      "passed": true,
      "evidence": "{\"code\":-32601,\"message\":\"no tool no-such-tool; the tools are processor, circuit",
      "ms": 0
    },
    {
      "id": "error:unknown-method",
      "passed": true,
      "evidence": "{\"code\":-32601,\"message\":\"method no/such is not served\"}",
      "ms": 0
    },
    {
      "id": "error:invalid-params",
      "passed": true,
      "evidence": "{\"code\":-32602,\"message\":\"processor Mars is not described here\"}",
      "ms": 0
    }
  ]
}