{"uid":"cap_CvUn6h3BDIOKKZOlA7TTW","slug":"quantum-error-correction-classical-repetition-code-decoder-7830c994","name":"Quantum Error Correction - Classical Repetition Code Decoder","description":"Treats a caller-supplied odd-length bit word as a classical repetition code, majority-decodes one logical bit, and reports the corrected word and adjacent XOR syndrome. This narrow demonstration is not a surface-code simulation and does not model coherent quantum errors, measurements or fault-tolerant thresholds.","url":"https://quantum.halowerk.com/v1/error-correction","method":"POST","headers":{},"bodySchema":{"type":"object","properties":{"encoded_bits":{"type":"string","pattern":"^[01]+$","maxLength":99,"minLength":3,"description":"Odd-length repetition-code word."}}},"responseSchema":null,"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.003","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":"$0.003/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.003","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.003","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_XebKAjNVFQr3-XeNsR5nM","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.003","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Majority-decodes an odd-length repetition-code bit word to correct a single logical bit error and returns the corrected codeword alongside the XOR syndrome.","exampleAgentPrompt":"Run majority-vote error correction on this repetition-coded bit string '1101101' — give me the corrected codeword and the XOR syndrome.","exampleUseCases":[{"title":"Classroom repetition code demonstration","prompt":"I'm teaching a coding theory class and want to show students how a 5-bit repetition code '11011' corrects a single bit flip — can you majority-decode it and show the XOR syndrome?"},{"title":"Noisy channel bit recovery","prompt":"I transmitted the logical bit 0 using a 7-bit repetition code over a noisy channel and received '0001000' — can you majority-decode this and tell me what the corrected codeword and syndrome are?"},{"title":"Error detection in a 3-bit code","prompt":"Check this 3-bit repetition-code word '101' for errors, apply majority voting to get the corrected logical bit, and return the syndrome."}],"resultDescription":"The endpoint returns the majority-decoded corrected bit word (the logical bit replicated to odd length), the recovered logical bit value, and the XOR syndrome indicating which positions disagreed with the majority — useful for understanding where errors occurred in the codeword.","failureModes":["Even-length bit string provided — only odd-length inputs are accepted (minLength 3, pattern ^[01]+$)","Bit string shorter than 3 bits — below the minimum required for majority voting","Bit string longer than 99 characters — exceeds maxLength limit","Non-binary characters in input — only '0' and '1' are valid","Empty string — rejected by minLength constraint"],"whenToPreferThis":"Choose this endpoint when you need a quick, cheap ($0.003) demonstration or verification of classical majority-vote error correction on a repetition code. It is ideal for educational demos, testing error-correction logic, or validating small odd-length codewords programmatically. Do not use it for surface-code simulation, fault-tolerant quantum error correction, coherent error modeling, or decoding non-repetition codes.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T12:41:39.317Z","isFirstParty":false}