{"uid":"cap_wmMnlnSZ6hOVb-wkW_3b3","slug":"quantum-state-validity-checker-c3a8ea72","name":"Quantum State Validity Checker","description":"Check a supplied single-qubit complex density matrix for unit trace, Hermiticity and positive semidefiniteness with explicit tolerance; no hardware validation.","url":"https://www.mahastrategies.com/api/v1/micro/quantum-state-validity?utm_source=zero.xyz","method":"POST","headers":{},"bodySchema":{"type":"object","$schema":"https://json-schema.org/draft/2020-12/schema","required":["input"],"properties":{"input":{"type":"object","required":["type","method","bodyType","body"],"properties":{"body":{"type":"object","required":["dataClass","state"],"properties":{"state":{"type":"object"},"dataClass":{"enum":["public","synthetic"],"type":"string"}},"additionalProperties":false},"type":{"type":"string","const":"http"},"method":{"enum":["POST"],"type":"string"},"bodyType":{"enum":["json","form-data","text"],"type":"string"}},"additionalProperties":false},"output":{"type":"object","required":["type"],"properties":{"type":{"type":"string"},"example":{"type":"object","required":["version","offerId","amountBaseUnits","inputDigest","result","boundaries","receiptDigest"],"properties":{"result":{"type":"object"},"offerId":{"enum":["quantum-state-validity"],"type":"string"},"version":{"enum":["maha-microproducts/0.1"],"type":"string"},"boundaries":{"type":"array","maxItems":128,"minItems":0},"inputDigest":{"type":"string","maxLength":71},"receiptDigest":{"type":"string","maxLength":71},"amountBaseUnits":{"enum":["14001"],"type":"string"}},"additionalProperties":false}}}}},"responseSchema":null,"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.014001","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"registry","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":"$0.014001/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.014001","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.014001","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_FpJUtZJpl2RI9F4d4hWXy","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.014001","costPer":"request","priority":0,"asset":null,"unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Validates a single-qubit complex density matrix for unit trace, Hermiticity, and positive semidefiniteness with configurable tolerance.","exampleAgentPrompt":"Check whether this single-qubit density matrix [[0.7, 0.1+0.2i], [0.1-0.2i, 0.3]] is a valid quantum state — verify unit trace, Hermiticity, and positive semidefiniteness, treating the data as synthetic.","exampleUseCases":[{"title":"Pre-simulation quantum state sanity check","prompt":"Before I run my quantum circuit simulation, verify that this density matrix [[0.6, 0.0+0.3i], [0.0-0.3i, 0.4]] is a physically valid single-qubit state — check unit trace, Hermiticity, and positive semidefiniteness. Mark it as synthetic data."},{"title":"Teaching tool for quantum information course","prompt":"I'm preparing a lecture example — check whether the matrix [[0.5, 0.6], [0.6, 0.5]] is a valid qubit density matrix by testing unit trace, Hermiticity, and positive semidefiniteness. Flag which conditions fail. Use synthetic data class."},{"title":"Debugging a noisy quantum channel output","prompt":"My quantum channel produced this output density matrix [[0.9, 0.05], [0.05, 0.15]] and I need to know if it's still a valid quantum state after the noise — validate unit trace, Hermiticity, and positive semidefiniteness for me, public data class."}],"resultDescription":"Returns a structured result object indicating whether the density matrix passed or failed each validity check (unit trace, Hermiticity, positive semidefiniteness), along with boundary values, an offer ID, version, input digest, receipt digest, and amount charged in base units.","failureModes":["Matrix not square or not 2x2 — rejected as invalid single-qubit format","Trace deviates beyond tolerance — fails unit trace check","Off-diagonal elements not complex conjugates — fails Hermiticity check","Negative eigenvalue detected — fails positive semidefiniteness check","Missing required fields (state or dataClass) — schema validation error","Invalid dataClass enum value — request rejected"],"whenToPreferThis":"Use this endpoint when you need a lightweight, deterministic, software-only validation of a single-qubit density matrix against all three standard quantum state validity conditions (unit trace, Hermiticity, positive semidefiniteness) without any quantum hardware involvement. Prefer it over manual linear algebra checks or general-purpose math libraries when you want an explicit tolerance-aware pass/fail result with structured output suitable for agent workflows.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-13T12:46:31.541Z","isFirstParty":false,"canonicalSlug":"quantum-state-validity-checker-c3a8ea72"}