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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