arXiv:2510.11593quant-phcs.AI2025-10

用注意力机制提升量子纠错效率,逼近理论极限

Qubit-centric Transformer for Surface Code Decoding

  • 以量子比特为中心设计注意力机制,捕捉错误关联
  • 在表面码上实现18.1%纠错阈值,接近理论上限18.9%
  • 适合追求高可靠性的量子计算系统开发者

为实现可靠的大型量子计算,量子误差纠正(QEC)对分布在多个物理量子比特上的逻辑信息至关重要。借助深度学习进展,基于神经网络的解码器成为提升QEC可靠性的重要方向。本文提出一种基于Transformer架构的新型通用QEC解码器——量子比特中心Transformer(QCT),其通过专用嵌入策略将稳定子域输入的校验结果转换为量子比特中心的标记,并利用注意力层有效识别底层逻辑错误。此外,引入基于图结构的掩码方法,融入量子码的拓扑结构,强化对相关量子比特相互作用的关注。在多种距离的表面码下,QCT均达到当前最优解码性能,显著优于现有神经解码器及置信传播结合有序统计解码(BP+OSD)基线。值得注意的是,QCT在去极化噪声下实现18.1%的高阈值,接近理论极限18.9%,超越了BP+OSD与最小权重完美匹配(MWPM)的阈值。该量子比特中心方法为表面码解码提供了一个可扩展且鲁棒的框架,推动容错量子计算发展。

原文摘要 · Abstract (English)

For reliable large-scale quantum computation, quantum error correction (QEC) is essential to protect logical information distributed across multiple physical qubits. Taking advantage of recent advances in deep learning, neural network-based decoders have emerged as a promising approach to improve the reliability of QEC. We propose the qubit-centric transformer (QCT), a novel and universal QEC decoder based on a transformer architecture with a qubit-centric attention mechanism. Our decoder transforms input syndromes from the stabilizer domain into qubit-centric tokens via a specialized embedding strategy. These qubit-centric tokens are processed through attention layers to effectively identify the underlying logical error. Furthermore, we introduce a graph-based masking method that incorporates the topological structure of quantum codes, enforcing attention toward relevant qubit interactions. Across various code distances for surface codes, QCT achieves state-of-the-art decoding performance, significantly outperforming existing neural decoders and the belief propagation (BP) with ordered statistics decoding (OSD) baseline. Notably, QCT achieves a high threshold of 18.1% under depolarizing noise, which closely approaches the theoretical bound of 18.9% and surpasses both the BP+OSD and the minimum-weight perfect matching (MWPM) thresholds. This qubit-centric approach provides a scalable and robust framework for surface code decoding, advancing the path toward fault-tolerant quantum computing.

量子纠错Transformer表面码深度学习

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