性能优异的稳定子码的设计

Design for Stabilizer Codes with the Best Performance

根据量子纠错码的性能界限对[[8,3,3]]码的性能进行分析,指出其强大的编码能力及其优异的性能。运用群的理论及稳定子码的基本原理构造了该码的稳定子生成元,计算出了其全部的稳定子并构造出其逻辑算子。在此基础上设计了该编码的基本码字,即编码子空间的一组正交基。

In this paper, we first analyse the performance of [[8,3,3]] code based on capability bound of Quantum Error--Correcting Codes, and point out its powerful encoding capacity and excellent capability. Then the code stabilizer generator is constructed with the help of Group theory and the basic principle of stabilizer codes. After that all of the stabilizers and it＇s logical operator are also given. Finally, we design the basic code of this encoding, i. e. , a set of orthogonal basis of encoding subspace.