{"uid":"cap_I0G23ChvmTgF2nqUISkm6","slug":"rqm-two-qubit-local-equivalence-60d134b6","name":"RQM Two Qubit Local Equivalence","description":"Two Qubit Local Equivalence: Classify this supported two-qubit operation by its bounded local-equivalence class and p... Use when: Use when a bounded request matches rqm.studio.two-qubit-local-equivalence-request.v1 and the caller needs t... Returns: local-equivalence class, canonical coordinates, explicit phase treatment. Boundaries: Deterministic bounded local software evidence only; no QPU, provider acceptance, certification, formal-pr...","url":"https://jobs.rqmtechnologies.com/x402/buyer-jobs/two-qubit-local-equivalence-v1","method":"POST","headers":{},"bodySchema":{"type":"object","properties":{"request":{"type":"object","title":"LocalEquivalenceRequest","required":["operation","phase_context"],"properties":{"operation":{"type":"object","title":"TwoQubitOperation","required":["gate"],"properties":{"gate":{"enum":["identity","cx","cz","swap","iswap"],"type":"string","title":"Gate"},"phase_radians":{"type":"number","title":"Phase Radians","default":0,"maximum":6.283185307179586,"minimum":-6.283185307179586}},"additionalProperties":false},"phase_context":{"enum":["ignore_global_phase","exact"],"type":"string","title":"Phase Context"}},"additionalProperties":false},"schema_version":{"const":"rqm.jobs.bazaar-buyer-job-request.v1"},"idempotency_key":{"type":"string","pattern":"^[A-Za-z0-9][A-Za-z0-9._:-]*$","maxLength":128,"minLength":1},"max_total_price":{"type":"string","pattern":"^(?:0|[1-9]\\d{0,13})(?:\\.\\d{1,6})?$"}}},"responseSchema":null,"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.1","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.1/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_jXELD5MxmT71B8XusGX62","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.1","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Classifies a supported two-qubit quantum gate by its bounded local-equivalence class and phase context","exampleAgentPrompt":"Classify the local-equivalence class of a CX gate using exact phase context — I need to know which bounded equivalence class it falls into.","exampleUseCases":[{"title":"Classify SWAP gate equivalence class","prompt":"What local-equivalence class does a SWAP gate fall into when I ignore the global phase? Give me the full classification."},{"title":"Verify iSWAP phase-sensitive classification","prompt":"Classify the local equivalence class of an iSWAP gate with exact phase context — I need the precise bounded equivalence result including phase."},{"title":"Check CZ gate equivalence for circuit optimization","prompt":"I'm optimizing a quantum circuit — can you classify the CZ gate by its local-equivalence class with exact phase context so I can see what it's equivalent to?"}],"resultDescription":"Returns the bounded local-equivalence class and phase context classification for the specified two-qubit gate operation, indicating which equivalence class the gate belongs to and how phase is handled under the requested context (ignore_global_phase or exact).","failureModes":["Unsupported gate type (only identity, cx, cz, swap, iswap are valid) returns validation error","Phase radians outside the range [-2π, 2π] are rejected","Missing required fields (operation or phase_context) cause schema validation failure","Arbitrary or custom matrices are not accepted — only named gates from the enum are supported","Larger-than-two-qubit operations are not supported and will be rejected"],"whenToPreferThis":"Use this endpoint when you need to classify a specific named two-qubit gate (identity, CX, CZ, SWAP, or iSWAP) by its bounded local-equivalence class with a defined phase context. Prefer this over general matrix decomposition tools when you have a discrete gate and need a fast, typed equivalence classification with or without global phase. Do not use for arbitrary unitary matrices, operations on more than two qubits, or when a formal mathematical equivalence proof is required.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T00:39:16.919Z","isFirstParty":false}