Non-Pauli Errors Can Be Efficiently Sampled in Qudit Surface Codes.
Non-Pauli Errors Can Be Efficiently Sampled in Qudit Surface Codes.
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DOI：
10.1103/physrevlett.131.200602
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发表时间：
2023-03
影响因子：
8.6
通讯作者：
Yue-Chi Ma;M. Hanks;M. S. Kim-M. S.-Kim-2254361768
中科院分区：
文献类型：
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作者：
Yue-Chi Ma;M. Hanks;M. S. Kim-M. S.-Kim-2254361768
表面码是容错量子计算最有前途的候选者。单QUDIT误差通常被建模为Pauli算子，通过随机化方法将一般误差转换为该算子。在这封信中，我们利用渗流理论，通过晶格上的环路，量化了具有非泡利误差的QUDIT 2D表面代码在伴随式测量后的剩余关联。在纠错阈值以下，剩余的相关性是稀疏的和局部约束的。因此，对于非Pauli错误，可以有效地对Qudit表面码的校正子进行采样，而与错误和解码器的确切形式无关。
Surface codes are the most promising candidates for fault-tolerant quantum computation. Single qudit errors are typically modeled as Pauli operators, to which general errors are converted via randomizing methods. In this Letter, we quantify remaining correlations after syndrome measurement for a qudit 2D surface code subject to non-Pauli errors via loops on the lattice, using percolation theory. Below the error correction threshold, remaining correlations are sparse and locally constrained. Syndromes for qudit surface codes are therefore efficiently samplable for non-Pauli errors, independent of the exact forms of the error and decoder.