Mappings Preserving Quantum Rényi’s Entropies in Von Neumann Algebras
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 Rényi 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.
Authors
- Rafał Wieczorek (ORCID: https://orcid.org/0000-0001-7684-4486)
- Andrzej Łuczak (ORCID: https://orcid.org/0000-0002-3425-7133)
- Hanna Podsȩdkowska (ORCID: https://orcid.org/0000-0003-2652-8850)
Institutions
- University of Łódź (PL)
Publication Details
- Journal
- Publications of the Research Institute for Mathematical Sciences
- Published
- 2026-10-27
- DOI
- https://doi.org/10.4171/prims/62-4-4
- Primary Topic
- Advanced Operator Algebra Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00