关于广义Pauli矩阵的研究  

Research on Generalized Pauli Matrix

作　　者：任芳国[1] 申明 Ren Fangguo;Shen Ming(School of Mathematics and Statistics, Shaanxi Normal University, Xi’an 710119, China)

机构地区：[1]陕西师范大学数学与统计学院,陕西西安710119

出　　处：《宁夏大学学报（自然科学版）》2022年第2期146-151,156,共7页Journal of Ningxia University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11471200)。

摘　　要：根据矩阵理论的相关知识对广义Pauli矩阵的性质进行研究.首先,利用n次单位群讨论了两个酉矩阵的性质及其关系,随后研究了广义Pauli矩阵的性质,最后给出广义Pauli矩阵性质的应用,为广义Pauli矩阵在量子信息中的应用和深入研究提供了理论基础.The properties of generalized Pauli matrix are studied through the knowledge of matrix theory.Firstly,the properties of two unitary metrics and the relationship between them are discussed by using subunit group of degree n.Then,the properties of generalized Pauli matrix are deeply studied.Finally,the application of the properties of generalized Pauli matrix is given,which provides a theoretical basis for the use and further study of generalized Pauli matrix in quantum information.

关 键 词：循环群 矩阵空间 酉矩阵 广义Pauli矩阵 

分 类 号：O151.21[理学—数学] O236[理学—基础数学]