Capability-Gated Conformance Testing of Quantum Error-Correction Decoder Libraries

2026-09-07

AI Summary

研究提出了一种无需oracle的符合性测试方法，用于检测量子纠错解码库中的错误，通过验证返回的纠错是否解释了给定的综合症以及在不同表示下的表现来实现。

Abstract

A quantum error correction decoder is a library other people's results depend on, judged in one dominant way. Sample errors, decode, and count wrong logical observables. We ask what else can be checked there. Our conformance contract needs no oracle. One check asks that a returned correction explain the syndrome in the caller's index space. The other hands a decoder one instance under two presentations differing only in bookkeeping, where two feasible corrections of different weight prove the heavier is not minimum-weight. Verdicts are gated on what each library declares, so a firing contradicts a published guarantee. Nine configurations from five public libraries give three results. Documentation answers 4 of 54 capability questions. Bounded-distance correctness, the property callers most depend on, has a direct declaration yield of 0.0%, though its hypotheses hold in 62.1% of cases. Presentation sensitivity is real but shallow. One solver moved to a 26% heavier correction under a different numbering, which reaches the logical class at most once in twenty thousand shots. Established evaluation misses corruptions that preserve logical parity, while one summation over the caller's weights catches every one we injected. All 639 certificates ship as bundles a standalone verifier re-derives from first principles.

Problem

• quantum error correction
• decoder library
• conformance testing
• syndrome explanation
• minimum-weight correction

Innovation

• conformance testing
• quantum error correction
• decoder library
• syndrome explanation
• minimum-weight correction