On quantum channels and operations preserving finiteness of the von Neumann entropy
Quantum Physics
2021-09-28 v1 Mathematical Physics
math.MP
Abstract
We describe the class (semigroup) of quantum channels mapping states with finite entropy into states with finite entropy. We show, in particular, that this class is naturally decomposed into three convex subclasses, two of them are closed under concatenations and tensor products. We obtain asymptotically tight universal continuity bounds for the output entropy of two types of quantum channels: channels with finite output entropy and energy-constrained channels preserving finiteness of the entropy.
Keywords
Cite
@article{arxiv.2004.03582,
title = {On quantum channels and operations preserving finiteness of the von Neumann entropy},
author = {M. E. Shirokov and A. V. Bulinski},
journal= {arXiv preprint arXiv:2004.03582},
year = {2021}
}
Comments
21 pages, preliminary version, any comments are welcome. arXiv admin note: substantial text overlap with arXiv:1704.01905, arXiv:1907.02458