Mappings preserving quantum Renyi's entropies in von Neumann algebras
Operator Algebras
2023-02-07 v1 Mathematical Physics
Functional Analysis
math.MP
Quantum Algebra
Quantum Physics
Abstract
We investigate the situation when a normal positive linear unital map on a semifinite von Neumann algebra leaving the trace invariant does not change fixed quantum Renyi's entropy of the density of a normal state. It is also shown that such a map does not change the entropy of any density if and only if it is a Jordan *-isomorphism on the algebra.
Keywords
Cite
@article{arxiv.2302.02282,
title = {Mappings preserving quantum Renyi's entropies in von Neumann algebras},
author = {Andrzej Łuczak and Hanna Podsędkowska and Rafał Wieczorek},
journal= {arXiv preprint arXiv:2302.02282},
year = {2023}
}