用强化学习设计出更高效的量子纠错码,大幅降低实现成本。
Discovering highly efficient low-weight quantum error-correcting codes with reinforcement learning
- 用强化学习优化量子纠错码的测量权重,提升编码效率。
- 对重量为6的码,物理量子比特开销降低1到2个数量级。
- 成果适合近期实验验证,推动容错量子计算落地。
可扩展容错量子计算的实现依赖于量子纠错码。在追求更高效率的容错方案中,测量权重是关键参数:测量权重越高,实现成本越高且引入更多错误,因此需在编码设计中优化测量权重。这推动了低密度奇偶校验(qLDPC)码的研究,但现有研究主要集中在大码长极限下的渐近性质。本文提出一种基于强化学习(RL)的通用且高效的稳定子码权重压缩方法,生成的新码在实际相关参数范围内显著优于现有最优结果,显著拓展了此前仅限小距离码的探索范围。例如,对于重量为6的码,相比现有成果,物理量子比特开销减少1至2个数量级,并将开销降至近未来实验可行范围。我们还利用该RL框架研究了码参数间的相互作用,为实际可行编码策略的效率与能力提供了新见解。总体而言,本工作展示了强化学习在解决量子码发现这一关键且复杂问题上的有效性,加速容错量子技术的实际实现。
原文摘要 · Abstract (English)
The realization of scalable fault-tolerant quantum computing is expected to hinge on quantum error-correcting codes. In the quest for more efficient quantum fault tolerance, a critical code parameter is the weight of measurements that extract information about errors to enable error correction: as higher measurement weights require higher implementation costs and introduce more errors, it is important in code design to optimize measurement weight. This underlies the surging interest in quantum low-density parity-check (qLDPC) codes, the study of which has primarily focused on the asymptotic (large-code-limit) properties. In this work, we introduce a versatile and computationally efficient approach to stabilizer code weight reduction based on reinforcement learning (RL), which produces new low-weight codes that substantially outperform the state of the art in practically relevant parameter regimes, extending significantly beyond previously accessible small distances. For example, our approach demonstrates savings in physical qubit overhead compared to existing results by 1 to 2 orders of magnitude for weight 6 codes and brings the overhead into a feasible range for near-future experiments. We also investigate the interplay between code parameters using our RL framework, offering new insights into the potential efficiency and power of practically viable coding strategies. Overall, our results demonstrate how RL can effectively advance the crucial yet challenging problem of quantum code discovery and thereby facilitate a faster path to the practical implementation of fault-tolerant quantum technologies.
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