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Mappings preserving quantum Renyi's entropies in von Neumann algebras
Published 5 Feb 2023 in math.OA, math-ph, math.FA, math.MP, math.QA, and quant-ph | (2302.02282v1)
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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