关于无偏基和无偏测量的一个注记  

A note about MUBs and MUMs

作　　者：孙海鹏[1] 陈峥立[1] 杨丽丽[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《纺织高校基础科学学报》2017年第2期177-182,共6页Basic Sciences Journal of Textile Universities

基　　金：国家自然科学基金资助项目(11571213;11371012)

摘　　要：首先给出量子系统中无偏基和无偏测量的存在性;其次利用算子代数和矩阵论方法研究C^2中无偏基和无偏测量的结构和性质;最后给出一种寻找无偏基的方法,并且通过Bloch球面得到两组测量无偏的充要条件.Firstly the existence of the mutually unbiased bases（MUBs）and mutually unbiased measurements（MUMs）are given in quantum system;Secondly some structure and properties of the MUBs and MUMs in C^2 are studied by using the operator algebra and matrix method;Finally some methods of finding MUBs were given and some structure of MUMs by Bloch sphere were obtained.

关 键 词：无偏基 无偏测量 Pauli矩阵 

分 类 号：O175.14[理学—数学]