论文标题
使用误差均等的易校准量子误差校正
Fault-tolerant quantum error correction using error weight parities
论文作者
论文摘要
在使用不完美的原语的量子误差校正中，由于量子错误纠正代码可能无法纠正，因此由于一些故障引起的高重量错误是主要问题。幸运的是，不同权重的某些错误在逻辑上是等效的，并且相同的校正过程适用于所有等效错误，因此有时可能会纠正高重量错误。在这项工作中，我们介绍了一种称为“权重误差校正”（WPEC）的技术，该技术可以在某些稳定器代码中纠正任何重量的Pauli误差，前提是已知误差的重量的奇偶校验。我们表明，该技术适用于[[7,1,3]] Steane代码或[[23,1,7]] Golay代码构建的串联代码。我们还使用WPEC提供了易于故障的误差校正协议，用于[[49,1,9]]串联steane代码，该代码最多可以校正3个故障，只需要2个Ancillas。
In quantum error correction using imperfect primitives, errors of high weight arising from a few faults are major concerns since they might not be correctable by the quantum error correcting code. Fortunately, some errors of different weights are logically equivalent and the same correction procedure is applicable to all equivalent errors, thus correcting high-weight errors is sometimes possible. In this work, we introduce a technique called weight parity error correction (WPEC) which can correct Pauli error of any weight in some stabilizer codes provided that the parity of the weight of the error is known. We show that the technique is applicable to concatenated codes constructed from the [[7,1,3]] Steane code or the [[23,1,7]] Golay code. We also provide a fault-tolerant error correction protocol using WPEC for the [[49,1,9]] concatenated Steane code which can correct up to 3 faults and requires only 2 ancillas.
