关于无偏基和无偏测量的一个注记

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C2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 C2 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.