论文标题
易耐故障的联合 - 找到解码
Fault-Tolerant Weighted Union-Find Decoding on the Toric Code
论文作者
论文摘要
量子误差校正需要既准确又有效的解码器。为此，Union-Find解码已成为表面代码上错误校正的有前途的候选人。在这项工作中，我们在电路级去极化噪声下基于复曲面代码上的联合获取解码器的加权变体。该变体保留了原始的几乎线性时间复杂性，同时显着提高了故障设置的性能。在此噪声模型中，加权联合捕点解码器将阈值从0.38％提高到0.62％，而加权匹配解码器时，阈值从0.65％增加到0.65％增加到0.72％。进一步假设量子非拆卸测量值，加权联合 - 结合解码的阈值为0.76％，而匹配时的阈值为0.90％。我们还提供定时和低错误率行为的比较。
Quantum error correction requires decoders that are both accurate and efficient. To this end, union-find decoding has emerged as a promising candidate for error correction on the surface code. In this work, we benchmark a weighted variant of the union-find decoder on the toric code under circuit-level depolarizing noise. This variant preserves the almost-linear time complexity of the original while significantly increasing the performance in the fault-tolerance setting. In this noise model, weighting the union-find decoder increases the threshold from 0.38% to 0.62%, compared to an increase from 0.65% to 0.72% when weighting a matching decoder. Further assuming quantum non-demolition measurements, weighted union-find decoding achieves a threshold of 0.76% compared to the 0.90% threshold when matching. We additionally provide comparisons of timing as well as low error rate behavior.
