Quantum Research · 2026-11-13

Quantum CSS codes: Decoder-aware multiobjective design and bound-certified selection

arXiv:2611.14923v1 Announce Type: new Abstract: Quantum error-correcting codes trade decoding reliability against the resources needed to measure their checks. We formulate Calderbank-Shor-Steane (CSS) code design at fixed encoding resources as a decoder-aware multiobjective problem.

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arXiv:2611.14923v1 Announce Type: new Abstract: Quantum error-correcting codes trade decoding reliability against the resources needed to measure their checks. We formulate Calderbank-Shor-Steane (CSS) code design at fixed encoding resources as a decoder-aware multiobjective problem. The objectives are failure probability under sector-wise degenerate maximum-likelihood decoding and check weight, the minimum total weight of an independent pure-type generator basis. For independent bit- and phase-flip noise with perfect syndrome extraction, deterministic truncation bounds support selection under a failure-rate constraint.

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Original source: arXiv Quantum ↗

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