arXiv:2606.27119quant-phcs.AI2026-06被引 1

提出高效量子纠错解码框架,让大码距解码更快更准。

Efficient foundation decoders for fault-tolerant quantum computing

论文配图:Efficient foundation decoders for fault-tolerant quantum computing
图 1 · 摘自论文原文
  • 用代数结构统一不同码距的解码任务,实现小码距知识迁移。
  • 在361、625码距上优于传统方法,625码距首次突破标准匹配极限。
  • 适合追求可扩展量子纠错的科研与工程团队使用。

基础解码器是一类高容量神经解码器,是容错量子计算的有力候选者,能在大码距下实现精确高效的解码。然而其构建常面临严峻的缩放障碍,因码距增大导致校验生成和神经优化成本急剧上升。为此,本文提出神经迁移统一(NTU)框架,通过可扩展码族共有的代数结构,对齐不同码距的解码任务,使小码距学习的知识可加速大尺度解码器训练。我们以NTU-Transformer为例,一种专为平面表面码和双变量自行车码设计的Transformer解码器。在电路级噪声下,对于$[ ![361,1,19] !]$码,其性能超越相关性感知匹配;并进一步扩展至$[ ![625,1,25] !]$码,在该码距上通过迁移适应超过标准匹配。对于$[ ![72,12,6] !]$双变量自行车码,在低物理错误率下表现优于Relay-BP。结果表明,该方案为容错量子处理器中基础解码器的跨码距可摊销训练提供了可行路径。

原文摘要 · Abstract (English)

Foundation decoders, a class of high-capacity neural decoders, are leading candidates for fault-tolerant quantum computing, with accurate and efficient decoding at large code distances. However, their construction often faces a steep scaling barrier, as larger code distances rapidly amplify the cost of syndrome generation and neural optimization. To address this bottleneck, here we devise neural transfer unification (NTU), a unified framework for efficient foundation decoders. A central feature of NTU is its ability to align decoding tasks across code distances via algebraic structures shared by scalable code families, which enables knowledge learned on smaller codes to accelerate large-scale decoder training. We instantiate NTU as NTU-Transformer, a transformer-based neural decoder tailored for planar surface codes and bivariate bicycle codes. For planar surface codes under circuit-level noise, NTU-Transformer outperforms correlation-aware matching on the $[\![361,1,19]\!]$ code and further scales to the $[\![625,1,25]\!]$ code, where it exceeds standard matching through transfer adaptation. For the bivariate bicycle code with $[\![72,12,6]\!]$, it surpasses Relay-BP in the low-physical-error regime. These results establish our proposal as a scalable route to amortized cross-distance training of foundation decoders for fault-tolerant quantum processors.

量子纠错神经解码可扩展性编码理论

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