论文标题
蜂窝自动机解码器，用于具有嘈杂测量及以后的拓扑量子代码
Cellular automaton decoders for topological quantum codes with noisy measurements and beyond
论文作者
论文摘要
我们提出了一个基于细胞自动机的误差校正程序，即扫描规则，该规则适用于拓扑量子代码以外的广泛代码。但是，为简单起见，我们将重点放在具有边界的菱形十二面体晶格上的三维（3D）曲折代码上，并证明所得的本地解码器具有非零误差阈值。我们还使用各种噪声模型通过测量误差在数值上基准了解码器在设置中的性能。我们发现，此误差校正过程在测量误差方面非常强大，并且对晶格和噪声模型的细节根本不敏感。我们的工作构成了为广泛的量子低密度平价检查代码寻找简单和高性能解码策略的一步。
We propose an error correction procedure based on a cellular automaton, the sweep rule, which is applicable to a broad range of codes beyond topological quantum codes. For simplicity, however, we focus on the three-dimensional (3D) toric code on the rhombic dodecahedral lattice with boundaries and prove that the resulting local decoder has a non-zero error threshold. We also numerically benchmark the performance of the decoder in the setting with measurement errors using various noise models. We find that this error correction procedure is remarkably robust against measurement errors and is also essentially insensitive to the details of the lattice and noise model. Our work constitutes a step towards finding simple and high-performance decoding strategies for a wide range of quantum low-density parity-check codes.
