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量子网格图顶点集的大小影响译码算法的效率,减少网格图的顶点数可以提高译码算法的效率.本文基于标准化的稳定子群校验矩阵,给出了构造面向网格图的稳定子群生成元的方法,据此可以构造顶点集最小的量子网格图.此外,本文通过分析差错算子与稳定子群生成元各个量子位的对易关系对两算子之间对易关系的影响,给出了一种快速生成量子稳定子码网格图的方法.现有构造方法对各顶点集分别独立计算,没有利用已有的计算结果,所以运算量大,这限制了译码的规模和速度.本文方法是在已有顶点集的基础上,利用迭代法构造新顶点集,该方法计算复杂性更小、算法效率更高,从而能适应规模更大和对时间要求更高的应用.
The size of the vertex set of the quantum mesh graph affects the efficiency of the decoding algorithm and reducing the number of vertices of the mesh graph can improve the efficiency of the decoding algorithm.Based on the standardized stable subgroup parity check matrix, Stable subgroup generation method, which can be constructed by the vertex set of the smallest quantum mesh map.In addition, this article by analyzing the error operator and stable subgroup generation of the qubit of the relationship between the two pairs of operators on the easy A new method to generate the grid map of quantum stable subcode is presented in this paper.At present, the construction method calculates each vertex set separately and does not use the existing calculation results, so the computational complexity is large, The size and speed of the code.The method in this paper is to construct a new set of vertices based on the existing set of vertices by using the iterative method to calculate the complexity and the efficiency of the algorithm so as to adapt to the larger scale and higher time requirements Applications.