论文标题
用表面代码纠正非独立和非相同分布的错误
Correcting non-independent and non-identically distributed errors with surface codes
论文作者
论文摘要
研究量子误差校正代码的性能的一种常见方法是假设独立且分布相同的单量错误。但是，可用的实验数据表明，现代多Qubit设备中的现实错误通常在量子位上既不是独立的也不是相同的。在这项工作中，我们开发并研究了拓扑表面代码的特性，该拓扑表面代码适用于Clifford结合的已知噪声结构。我们表明，与标准表面代码相比，与可扩展的匹配解码器结合使用，与可扩展的匹配解码器结合使用的表面代码与可扩展的匹配解码器结合使用，与标准表面代码相比，误差阈值和指数抑制的增加。此外，我们研究了在局部两数分噪声下量身定制的表面代码的行为，并显示了代码退化在校正这种噪声中所起的作用。所提出的方法不需要在量子数或门的数量方面需要额外的开销，并且使用标准匹配解码器，因此与标准的表面代码误差校正相比，无需支付额外费用。
A common approach to studying the performance of quantum error correcting codes is to assume independent and identically distributed single-qubit errors. However, the available experimental data shows that realistic errors in modern multi-qubit devices are typically neither independent nor identical across qubits. In this work, we develop and investigate the properties of topological surface codes adapted to a known noise structure by Clifford conjugations. We show that the surface code locally tailored to non-uniform single-qubit noise in conjunction with a scalable matching decoder yields an increase in error thresholds and exponential suppression of sub-threshold failure rates when compared to the standard surface code. Furthermore, we study the behaviour of the tailored surface code under local two-qubit noise and show the role that code degeneracy plays in correcting such noise. The proposed methods do not require additional overhead in terms of the number of qubits or gates and use a standard matching decoder, hence come at no extra cost compared to the standard surface-code error correction.
