Fixed points of commutative L\"uders operations
Operator Algebras
2016-09-28 v6 Mathematical Physics
math.MP
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.0908.2475,
title = {Fixed points of commutative L\"uders operations},
author = {Liu Weihua and Wu Junde},
journal= {arXiv preprint arXiv:0908.2475},
year = {2016}
}