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中文摘要：
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.
英文摘要：
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.
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