arXiv:2607.19563quant-phcs.LG2026-07被引 1

用机器学习从量子纠错的测量数据中筛选可靠结果,提升纠错可靠性。

Machine-learned syndrome post-selection for reliable quantum error correction

  • 直接从测量数据训练分类器,无需解码器信息或逻辑错误标签。
  • 在三种场景下降低条件逻辑错误率,实验数据表现优于传统方法。
  • 适合实际量子硬件,可扩展且不依赖具体编码细节。

量子纠错可通过剔除可能产生逻辑失败的运行来增强,但最准确的判断需昂贵的解码器级信息。本文提出一种实用的、与解码器无关的后筛选方法,直接从测量数据学习。该方法训练监督分类器以区分低噪声与高噪声下的测量模式,并将分类器输出作为新运行的终止评分,无需逻辑错误标签、纠错算子或编码特定似然计算。我们在三种互补场景中验证:格罗斯双变量自行车码的电路级仿真、表面码的码容量仿真,以及QuEra中性原子处理器上的实验逻辑魔法态提纯数据。在格罗斯码和表面码中,学习到的测量后筛选在固定接受率下降低了条件逻辑错误率,性能接近测量权重过滤。对于表面码,学习到的分类器揭示了与传统解码阈值不同的后筛选相变。在实验数据中,机器学习评分优于测量权重后筛选,结合逻辑间隙过滤后,输出保真度超越仅使用逻辑间隙的情况。结果表明,仅依赖测量数据的学习为提升量子纠错可靠性提供了可扩展且硬件兼容的路径。

原文摘要 · Abstract (English)

Quantum error correction can be enhanced by post-selecting out runs that are likely to produce a logical failure, but the most accurate measures for that require costly decoder-level information. We introduce a practical, decoder-agnostic post-selection method that learns directly from syndrome data. The method trains a supervised classifier to distinguish between syndromes from low- and high-noise regimes, and then uses the classifier's output as an abort score for new runs, without requiring logical-error labels, correction operators, or code-specific likelihood calculations. We validate the approach in three complementary settings: circuit-level simulations of the Gross bivariate-bicycle code, code-capacity simulations of the surface code, and experimental logical magic-state distillation data from the QuEra neutral-atom processor. In the Gross and surface codes, learned syndrome post-selection reduces the conditional logical error rate at a fixed acceptance rate, with performance comparable to syndrome-weight filtering. For the surface code, the learned classifier reveals a post-selection transition distinct from the conventional decoding threshold. In the experimental data, the machine-learning score outperforms syndrome-weight post-selection and, when combined with logical-gap filtering, improves the output fidelity beyond using the logical gap alone. These results show that syndrome-only learning provides a scalable and hardware-compatible route to improving the reliability of quantum error correction.

量子纠错机器学习后筛选实验验证

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