论文标题
偏置量量量子LDPC代码
Bias-tailored quantum LDPC codes
论文作者
论文摘要
偏差量允许使用量子误差校正代码来利用量子噪声不对称。最近，结果表明，在有偏见的噪声下，表面代码的修改形式（XZZX代码）显示出大大提高的性能。在这项工作中，我们证明了量子低密度奇偶校验检查代码可能是类似的偏差。我们介绍了偏见的提起的产品代码构建，该构建提供了框架，以扩大偏见的方法，而不是2D拓扑代码的家族。我们介绍了基于经典的准环境代码的偏见降低了升起的产品代码的示例，并使用信念传播加上有序的统计解码器来数值评估其性能。我们在不对称噪声下进行的蒙特卡洛模拟表明，相对于去极化噪声而言，偏差量尺码的误差抑制作用有几个数量级改善。
Bias-tailoring allows quantum error correction codes to exploit qubit noise asymmetry. Recently, it was shown that a modified form of the surface code, the XZZX code, exhibits considerably improved performance under biased noise. In this work, we demonstrate that quantum low density parity check codes can be similarly bias-tailored. We introduce a bias-tailored lifted product code construction that provides the framework to expand bias-tailoring methods beyond the family of 2D topological codes. We present examples of bias-tailored lifted product codes based on classical quasi-cyclic codes and numerically assess their performance using a belief propagation plus ordered statistics decoder. Our Monte Carlo simulations, performed under asymmetric noise, show that bias-tailored codes achieve several orders of magnitude improvement in their error suppression relative to depolarising noise.
