Fault-tolerant compass codes
Fault-tolerant compass codes
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DOI：
10.1103/physreva.101.042312
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发表时间：
2019-11
影响因子：
2.9
通讯作者：
Shilin Huang;K. Brown
中科院分区：
文献类型：
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作者：
Shilin Huang;K. Brown
我们研究了电路级Bacon-Shor码的一类规范固定，其中包括广义表面码的一个子族。我们表明，对于这些代码，容错可以通过直接测量的稳定器。通过模拟我们的容错方案下偏置噪声，我们展示了通过拉伸散装稳定器几何优化表面代码的性能的可能性。为了高效准确地解码伴随式，我们将联合查找解码器推广到有偏噪声模型。我们的解码器获得了一个$0.83\%$阈值的表面代码在二次时间复杂度。
We study a class of gauge fixings of the Bacon-Shor code at the circuit level, which includes a subfamily of generalized surface codes. We show that for these codes, fault tolerance can be achieved by direct measurements of the stabilizers. By simulating our fault-tolerant scheme under biased noise, we show the possibility of optimizing the performance of the surface code by stretching the bulk stabilizer geometry. To decode the syndrome efficiently and accurately, we generalize the union-find decoder to biased noise models. Our decoder obtains a $0.83\%$ threshold value for the surface code in quadratic time complexity.