论文标题
拓扑耐受量子误差校正的串联方案
Concatenation Schemes for Topological Fault-tolerant Quantum Error Correction
论文作者
论文摘要
我们根据小误差检测或误差校正代码与三维群集状态的串联研究了一个容忍断层量子误差校正方案的家族。我们提出了容忍故障状态的准备和解码方案，这些方案有效地将每个电路级别的误差转换为擦除误差，从而利用群集状态在此类误差下的高阈值。我们发现了一组可以进行这种转换的代码，并针对标准电路级去极化模型研究其性能。我们最佳性能方案基于与经典代码的串联，将阈值提高了$ 16.5 \％$，并且与该方案相比，与该方案相比，该方案将时空的间接开销降低了$ 32 \％$，每个方案都以每种方案的限制，每种方案都以$ 10^{-3} $ $ 10^{ - 3} $的物理误差率为$ 10^{ - 3} $，并达到$ 10^^$ 10^^$ n-6}。
We investigate a family of fault-tolerant quantum error correction schemes based on the concatenation of small error detection or error correction codes with the three-dimensional cluster state. We propose fault-tolerant state preparation and decoding schemes that effectively convert every circuit-level error into an erasure error, leveraging the cluster state's high threshold against such errors. We find a set of codes for which such a conversion is possible, and study their performance against the standard circuit-level depolarizing model. Our best performing scheme, which is based on a concatenation with a classical code, improves the threshold by $16.5\%$ and decreases the spacetime overhead by $32\%$ compared to the scheme without concatenation, with each scheme subject to a physical error rate of $10^{-3}$ and achieving a logical error rate of $10^{-6}$.
