论文标题
量子代码和纠缠辅助量子代码的扩展准环状结构
Extended quasi-cyclic constructions of quantum codes and entanglement-assisted quantum codes
论文作者
论文摘要
通过经典代码构建具有良好参数的量子代码和纠缠辅助量子代码是量子计算和量子信息的重要任务。在本文中，由一代一代准循环代码的家族提供了准循环扩展构造，以保留自动性以获得稳定器量子代码。至于计算结果，构建了一些具有良好参数的二进制和三元稳定器代码。此外，我们提出了通过准循环代码类别及其扩展代码的类别来构建最大范围纠缠量子辅助量子代码的方法。作为应用程序，获得了一些良好的最大键入纠缠量量子代码，并比较其参数。
Construction of quantum codes and entanglement-assisted quantum codes with good parameters via classical codes is an important task for quantum computing and quantum information. In this paper, by a family of one-generator quasi-cyclic codes, we provide quasi-cyclic extended constructions that preserve the self-orthogonality to obtain stabilizer quantum codes. As for the computational results, some binary and ternary stabilizer codes with good parameters are constructed. Moreover, we present methods to construct maximal-entanglement entanglement-assisted quantum codes by means of the class of quasi-cyclic codes and their extended codes. As an application, some good maximal-entanglement entanglement-assisted quantum codes are obtained and their parameters are compared.
