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arXiv 2201.05678quant-ph
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基于扭曲的网格手术的电路级协议和分析

A circuit-level protocol and analysis for twist-based lattice surgery

Christopher Chamberland, Earl T. Campbell

备注：
12 pages, 9 figures. Comments welcome!
发表信息：
Physical Review Research 4 (2), 023090 (2022)
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摘要：

晶格手术是一种基于测量的技术，用于在二维中执行容错量子计算。当使用表面码时，最一般的晶格外科手术操作需要称为扭曲缺陷的晶格不规则性。然而，实现基于扭曲的网格手术可能需要额外的资源，例如额外的设备连接，并且可能降低表面码的阈值和整体性能。在这里，我们提供了一个明确的扭曲为基础的晶格手术协议和必要的连接布局。我们还提供了新的稳定器测量电路，用于测量与我们选择的门调度兼容的扭曲缺陷。我们进行了第一次电路级的错误校正模拟在扭曲为基础的晶格手术使用偏置去极化噪声模型。我们的研究结果表明，与晶格手术协议相比，在批量中没有扭曲缺陷的类时逻辑故障的阈值略有下降。然而，舒适地低于阈值（即，CNOT不连续性低于$5 \times 10^{-3}$），性能降级是温和的，并且实际上优于所提出的替代无扭转方案。最后，我们提供了一个有效的计划测量$Y$运营商沿边界的表面码，绕过某些步骤，在以前的计划中所需的。

英文摘要：

Lattice surgery is a measurement-based technique for performing fault-tolerant quantum computation in two dimensions. When using the surface code, the most general lattice surgery operations require lattice irregularities called twist defects. However, implementing twist-based lattice surgery may require additional resources, such as extra device connectivity, and could lower the threshold and overall performance for the surface code. Here we provide an explicit twist-based lattice surgery protocol and its requisite connectivity layout. We also provide new stabilizer measurement circuits for measuring twist defects which are compatible with our chosen gate scheduling. We undertake the first circuit-level error correction simulations during twist-based lattice surgery using a biased depolarizing noise model. Our results indicate a slight decrease in the threshold for timelike logical failures compared to lattice surgery protocols with no twist defects in the bulk. However, comfortably below threshold (i.e. with CNOT infidelities below $5 \times 10^{-3}$), the performance degradation is mild and in fact preferable over proposed alternative twist-free schemes. Lastly, we provide an efficient scheme for measuring $Y$ operators along boundaries of surface codes which bypasses certain steps that were required in previous schemes.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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