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A deterministic fixed-point Relay-BP (normalized min-sum) decoder for quantum LDPC codes, each decode sealing a signed, joule-metered receipt carrying joules-per-decode — the metric no decoder reports and none signs. - quantum_qec.rs: GF(2) RREF + row-space membership (logical-triviality test); CSS code builders — toric + bivariate-bicycle [[72,12]] "gross" (verified n/k + CSS orthogonality); normalized min-sum BP in pure i64 (scale-invariant, no float/tanh); Relay-BP — disordered signed per-node memory + warm-start, which breaks the degeneracy that traps plain BP on quantum codes; Monte-Carlo benchmark (relay vs plain over identical samples). - quantum_ops.rs: DecodeReceipt binds (check-matrix hash, syndrome hash, decoder params) -> (correction hash, converged, work, joules); merkle + Ed25519, joule ceiling in verify(). logical_success is NOT a field — a real decoder can't know it (needs the true error); the receipt attests what it does know. - wai-web: ToricDemo / GrossDemo / BenchDemo wasm bindings. Honest boundary: simulated syndromes (no QPU); browser joules modeled from the exact message-pass count (a real decoder fills it from a hardware meter). 56 quantum tests green. Co-Authored-By: Claude Opus 4.8 <[email protected]> |
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