退化量子码逻辑受控相位电路的低开销可分段容错构造
量子物理
2023-11-30 v8
摘要
我们设计了一种搜索算法，以寻找一般[[n,1,d]]退化量子码的逻辑受控相位门的非横向但容错构造。随后给出一个示例，针对一种称为裸[[7, 1, 3]]码的量子码说明我们的算法。该码是在特定搜索准则下获得的，并且在标准去极化误差模型下具有更简单的标志辅助容错综合征测量电路。由于需要更少辅助量子比特资源的综合征提取电路有助于实现大规模量子计算，例如为实现更低逻辑错误率而级联的高层初等逻辑门电路，我们遵循搜索方案，在该码上找到了一个3段可分段容错逻辑CZ电路。还进行了数值模拟以进一步分析我们电路的逻辑错误率。
引用
@article{arxiv.2105.07133,
title = {Low-overhead pieceable fault-tolerant construction of logical controlled-phase circuit for degenerate quantum code},
author = {Chen Lin and Guowu Yang},
journal= {arXiv preprint arXiv:2105.07133},
year = {2023}
}
备注
We have made significant changes to this work, and have also made many adjustments to the experimental design. This needs to be revised and uploaded later