统一量子纠错解码框架,支持多码型和噪声环境自适应。
MDQEC-QAS: Meta-Decoding for Quantum Error Correction with Hardware-Aware VQC Search and Confidence-Gated Recovery

- 用元学习统一多种量子纠错码的解码策略
- 硬件感知量子电路搜索提升解码效率,逻辑错误率降低至1.11倍
- 引入置信度门控恢复机制,避免盲目替换教师模型
我们提出一种统一的元解码框架,用于在多个稳定子码和噪声环境下学习校验到纠错的映射关系,无需为每种配置单独设计解码器。基准测试涵盖FiveQubit、Steane、Planar3x3和Planar5x5码,四种噪声类型,以及五种评估场景:插值、未见码转移、未见噪声转移、少样本未见码适应和少样本保留尺寸适应。对比经典元MLP教师训练基线与通过硬件感知量子架构搜索(考虑比特数、电路深度和纠缠拓扑)选出的变分量子电路(VQC)元解码器。元MLP在五种场景下的教师标签准确率分别为0.9993、0.9118、0.9342、0.6304和0.7548,而硬件感知VQC分别为0.9400、0.8495、0.8415、0.5678和0.7143。然而逻辑层评估显示,高教师标签准确率在最复杂平面5×5设置下仍不足。插值阶段,元MLP与VQC的原始逻辑错误率相对于教师分别为12.08和25.91,而置信度门控回退将其降至1.71和1.11。结果表明,应采用置信度感知的择优恢复,而非无条件替换教师模型。
原文摘要 · Abstract (English)
We propose a unified meta-decoding framework for quantum error correction that learns syndrome-to-recovery mappings across multiple stabilizer codes and noise settings, without requiring separate decoders for each configuration. The benchmark includes FiveQubit, Steane, Planar3x3, and Planar5x5 codes, four noise families, and five evaluation regimes: interpolation, unseen-p transfer, unseen-noise transfer, few-shot unseen-code adaptation, and few-shot held-out-size adaptation. We compare a classical Meta-MLP teacher-trained baseline with variational quantum circuit (VQC) meta-decoders selected through hardware-aware quantum architecture search over qubit count, circuit depth, and entangling topology. The Meta-MLP achieves teacher-label accuracies of 0.9993, 0.9118, 0.9342, 0.6304, and 0.7548 across the five regimes, while the hardware-aware VQC achieves 0.9400, 0.8495, 0.8415, 0.5678, and 0.7143. However, logical-level evaluation shows that high teacher-label accuracy alone is insufficient in the most challenging Planar5x5 setting. During interpolation, the raw logical-failure ratios relative to the teacher are 12.08 and 25.91 for the Meta-MLP and VQC, respectively, whereas confidence-gated fallback reduces them to 1.71 and 1.11. These results support confidence-aware selective recovery rather than unconditional teacher replacement.
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