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arXiv 0908.2475math.OAmath-phmath.MPmath.QA
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交换Lüders算子的不动点

Fixed points of commutative Lüders operations

Liu Weihua, Wu Junde

摘要:

本文证明了两篇关于一类量子运算的不动点集的论文中提出的一个猜想。具体地说,证明了如果一个量子操作具有相互交换的操作元素,这些操作元素是形成恒等式分解的效应,则该量子操作的不动点集恰好是这些操作元素的交换子.

英文摘要:

This paper verifies a conjecture posed in a pair of papers on the fixed point sets for a class of quantum operations. Specifically, it is proved that if a quantum operation has mutually commuting operation elements that are effects forming a resolution of the identity, then the fixed points set of the quantum operation is exactly the commutant of the operation elements.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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