AI 中文总结
该研究针对量子纠错实验中综合征比特与解码器校正请求的接口问题，通过四分支研究，涵盖多种硬件电路和模型，采用特定实验设置，验证了综合征到解码器的接口，支持可审计接口而非阈值声明。
AI 中文摘要
量子纠错实验越来越需要测量的综合征比特与解码器原生校正请求之间经过验证的接口。我们报告了一项四分支综合征到解码器的研究，涵盖三个IBM门模型硬件电路和一个由PennyLane支持的数字化GKP模型。硬件分支实现了五数据量子比特重复码、距离为五的旋转表面码Z校验提取层以及作为紧凑CSS-LDPC基准的Steane CSS码的Z校验一半。GKP分支对有限压缩高斯-CV量子读出和注入的量子移位进行采样，然后将包裹的正交坐标装箱到相同的外表面码Z校验接口。所有情况均使用每个流4096次测量，包括干净和注入的流，采用LiDMaS+请求构建，以及MWPM/最小权重校正作为绘制基线，通过并查集和硬判决置信传播/最小和策略进行重放以进行接口验证。校正体积面板还报告了每个解码流的平均最小权重校正权重。重复码和CSS-LDPC硬件对于每个注入目标都保留了主要的预期综合征和校正。路由的56量子比特表面电路表现出广泛的硬件诱导综合征激活：精确定位降至0.003 - 0.108，但包含目标的定位仍为0.279 - 0.642。数字化GKP研究给出的精确量子移位定位为0.350 - 0.495，包含目标的定位为0.417 - 0.608。结果支持一个可审计的综合征到解码器接口，而不是阈值声明。
英文摘要
Quantum error-correction experiments increasingly require a verified interface between measured syndrome bits and decoder-native correction requests. We report a four-branch syndrome-to-decoder study spanning three IBM gate-model hardware circuits and one PennyLane-backed digitized-GKP model. The hardware branches implement a five-data-qubit repetition code, a distance-five rotated-surface-code Z-check extraction layer, and the Z-check half of the Steane CSS code as a compact CSS-LDPC benchmark. The GKP branch samples finite-squeezed Gaussian-CV q-readout and injected q-shifts, then bins wrapped quadrature coordinates into the same outer surface-code Z-check interface. All cases use 4096 shots per stream, clean and injected streams, LiDMaS+ request construction, and MWPM/minimum-weight correction as the plotted baseline, with union-find and hard-decision belief-propagation/min-sum policies replayed for interface validation. The correction-volume panels additionally report mean minimum-weight correction weight for each decoded stream. Repetition and CSS-LDPC hardware preserve the dominant expected syndrome and correction for every injected target. The routed 56-qubit surface circuit exhibits broad hardware-induced syndrome activation: exact localization drops to $0.003$--$0.108$, but target-containing localization remains $0.279$--$0.642$. The digitized-GKP study gives exact q-shift localization of $0.350$--$0.495$ and target-containing localization of $0.417$--$0.608$. The results support an auditable syndrome-to-decoder interface rather than a threshold claim.
