Fixed points of commutative Lüders operations
Weihua Liu, Junde Wu · Journal of Physics A Mathematical and Theoretical · 2010
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 point set of the quantum operation is exactly the commutant of the operation elements.