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arXiv · 2302.02282

Mappings preserving quantum Renyi's entropies in von Neumann algebras

Andrzej Łuczak·Hanna Podsędkowska·Rafał Wieczorek
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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.

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Andrzej Łuczak, Hanna Podsędkowska, Rafał Wieczorek. 2023-02-05. Mappings preserving quantum Renyi's entropies in von Neumann algebras. https://arxiv.org/abs/2302.02282

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