论文标题
循环代码和一些新的纠缠辅助量子MDS代码
Cyclic codes and some new entanglement-assisted quantum MDS codes
论文作者
论文摘要
纠纷辅助量子误差校正代码（EAQECC）在保护量子信息免受折叠和量子噪声方面起着重要作用。最近，构建具有灵活参数的纠缠辅助量子最大距离（EAQMDS）代码已引起了很多关注。在这项工作中，介绍了四个具有更笼统的EAQMDS代码系列。选择定义集的方法与其他选择不同。与所有先前已知的结果相比，我们构建的EAQMDS代码具有较大的最小距离。所有这些EAQMDS代码都是新的，因为它们的参数不受文献中可用的量子代码的涵盖。
Entanglement-assisted quantum error correcting codes (EAQECCs) play a significant role in protecting quantum information from decoherence and quantum noise. Recently, constructing entanglement-assisted quantum maximum distance separable (EAQMDS) codes with flexible parameters has received much attention. In this work, four families of EAQMDS codes with a more general length are presented. And the method of selecting defining set is different from others. Compared with all the previously known results, the EAQMDS codes we constructed have larger minimum distance. All of these EAQMDS codes are new in the sense that their parameters are not covered by the quantum codes available in the literature.
