Quantum relative entropy: general convergence criterion and preservation of convergence under completely positive linear maps
Quantum Physics
2023-07-14 v3 Mathematical Physics
math.MP
Abstract
A criterion and necessary conditions for convergence (local continuity) of the quantum relative entropy are obtained. Some applications of these results are considered. In particular, the preservation of local continuity of the quantum relative entropy under completely positive linear maps is established.
Keywords
Cite
@article{arxiv.2205.10341,
title = {Quantum relative entropy: general convergence criterion and preservation of convergence under completely positive linear maps},
author = {M. E. Shirokov},
journal= {arXiv preprint arXiv:2205.10341},
year = {2023}
}
Comments
33 pages, any comments are welcome