Related papers: On quantum channels and operations preserving finiteness of the von Neumann entropy

On quantum channels and operations preserving finiteness of the von Neumann entropy

URL: http://arxiv.org/abs/2004.03582v1
Date: Tue, 7 Apr 2020 18:41:24 GMT
Title: On quantum channels and operations preserving finiteness of the von Neumann entropy
Authors: M.E. Shirokov, A.V. Bulinski
Abstract summary: We describe the class of quantum channels mapping states with finite entropy into states with finite entropy. We obtain universal continuity bounds for the output entropy of two types of quantum channels.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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.

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