论文标题
通过去极化通道上的量子表面代码的修改MWPM解码算法
A Modified MWPM Decoding Algorithm for Quantum Surface Codes Over Depolarizing Channels
论文作者
论文摘要
量子表面代码是一种量子拓扑稳定器代码，其稳定器和Qubits在几何上相关。由于其特殊结构，表面代码具有引导人们进行大规模量子计算的巨大潜力。在最小重量的完美匹配（MWPM）中，表面代码的解码是为了简单性而被认为是独立的。但是，这两种错误可能在现实世界中相关。在本文中，我们建议对MWPM进行修改，以解码表面代码，以处理位于去极化通道中的噪声，其中比特翼误差和相位翼误差相关。通过这种修改，我们的表面代码分别获得了带有混合边界和带有孔的表面代码的17％和15.3％的阈值，
Quantum Surface codes are a kind of quantum topological stabilizer codes whose stabilizers and qubits are geometrically related. Due to their special structures, surface codes have great potential to lead people to large-scale quantum computation. In the minimum weight perfect matching (MWPM) decoding of surface codes, the bit-flip errors and phase-flip errors are assumed to be independent for simplicity. However, these two kinds of errors are likely to be correlated in the real world. In this paper, we propose a modification to MWPM decoding for surface codes to deal with the noises in depolarizing channels where bit-flip errors and phase-flip errors are correlated. With this modification, we obtain thresholds of 17% and 15.3% for the surface codes with mixed boundaries and the surface codes with a hole, respectively
