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arXiv · 0908.2475

Fixed points of commutative L\"uders operations

Liu Weihua·Wu Junde
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Abstract

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.

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BibTeXRIS

Liu Weihua, Wu Junde. 2009-08-18. Fixed points of commutative L\"uders operations. https://doi.org/10.1088/1751-8113/43/39/395206

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