One of the main challenge for an efficient implementation of quantum information technologies is how to counteract quantum noise. Quantum error correcting codes are therefore of primary interest for the evolution towards quantum computing and quantum Internet. We here analyze the performance of surface codes, one of the most important class for practical implementations, on both symmetric and asymmetric quantum channels. We derive approximate expressions, confirmed by simulations, to evaluate the performance of surface codes and of XZZX codes, and provide a metric to assess the advantage of codes with respect to uncoded systems. Our findings allow to characterize the performance by means of analytical formulas of surface codes, like, for example, the [[13, 1, 3]], the [[23, 1, 3/5]], the [[33, 1, 3/7]], and the [[41, 1, 5]] surface codes.
翻译：高效实施量子信息技术的主要挑战之一是如何对抗量子噪音。因此,量子误差校正代码对于量子计算和量子互联网的演变具有首要意义。我们在此分析地表代码的性能,这是在对称和不对称量子信道上实际实施的最重要类别之一。我们通过模拟得到证实,得出了大致的表达方式,以评估表面代码和XZZX代码的性能,并提供衡量尺度,评估未编码系统代码的优势。我们的调查结果允许通过表层代码的分析公式,例如[[13,1,3]、[[23,1,3/5]]、[[33,1,3/7]]和[[41,1,5]]表面代码来描述其性能。</s>
相关内容
微信扫码咨询专知VIP会员