arXiv:2510.06257quant-phcs.IT2025-10被引 3

提出可量化不确定性的神经解码方法,显著降低量子纠错错误率。

Toward Uncertainty-Aware and Generalizable Neural Decoding for Quantum LDPC Codes

  • 基于贝叶斯图神经网络,融合注意力机制实现误差模式精准识别。
  • 在多种量子低密度奇偶校验码上,逻辑错误率降低一到两个数量级。
  • 支持未见过的代码解码,适合追求高可靠性的量子计算系统。

量子纠错(QEC)对可扩展量子计算至关重要,但传统算法解码误差导致精度有限且开销高,可通过基于推断的解码器缓解。现有机器学习解码器缺乏可靠不确定性量化和对未见代码的鲁棒泛化能力。为此,我们提出 extbf{QuBA},一种结合点积与多头注意力的贝叶斯图神经解码器,实现强表达力的误差模式识别与校准的不确定性估计。在此基础上,进一步构建 extbf{SAGU}(不确定性下的序列聚合泛化),一种多代码训练框架,增强跨域鲁棒性,支持训练集外代码解码。在双变量自行车码(BB码)及其互质变体上的实验表明:(i) QuBA 与 SAGU 均显著优于经典信念传播(BP),平均降低一个数量级逻辑错误率(LER),在互质 BB 码 $[[154, 6, 16]]$ 上甚至达两个数量级;(ii) QuBA 超越现有先进神经解码器,在更大规模的 BB 码 $[[756, 16, \leq34]]$ 上,即便采用保守决策边界仍保持约一个数量级优势;(iii) SAGU 的性能可媲美甚至超过针对特定领域训练的 QuBA 方法。

原文摘要 · Abstract (English)

Quantum error correction (QEC) is essential for scalable quantum computing, yet decoding errors via conventional algorithms result in limited accuracy (i.e., suppression of logical errors) and high overheads, both of which can be alleviated by inference-based decoders. To date, such machine-learning (ML) decoders lack two key properties crucial for practical fault tolerance: reliable uncertainty quantification and robust generalization to previously unseen codes. To address this gap, we propose \textbf{QuBA}, a Bayesian graph neural decoder that integrates attention to both dot-product and multi-head, enabling expressive error-pattern recognition alongside calibrated uncertainty estimates. Building on QuBA, we further develop \textbf{SAGU }\textbf{(Sequential Aggregate Generalization under Uncertainty)}, a multi-code training framework with enhanced cross-domain robustness enabling decoding beyond the training set. Experiments on bivariate bicycle (BB) codes and their coprime variants demonstrate that (i) both QuBA and SAGU consistently outperform the classical baseline belief propagation (BP), achieving a reduction of on average \emph{one order of magnitude} in logical error rate (LER), and up to \emph{two orders of magnitude} under confident-decision bounds on the coprime BB code $[[154, 6, 16]]$; (ii) QuBA also surpasses state-of-the-art neural decoders, providing an advantage of roughly \emph{one order of magnitude} (e.g., for the larger BB code $[[756, 16, \leq34]]$) even when considering conservative (safe) decision bounds; (iii) SAGU achieves decoding performance comparable to or even outperforming QuBA's domain-specific training approach.

量子纠错神经解码不确定性量化

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