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Transformations on density operators preserving generalised entropy of a convex combination. (English) Zbl 1393.15037
Summary: We aim to characterise those transformations on the set of density operators (which are the mathematical representatives of the states in quantum information theory) that preserve a so-called generalised entropy of one fixed convex combination of operators. The characterisation strengthens a recent result of M. Karder and T. Petek [Linear Algebra Appl. 532, 86–98 (2017; Zbl 1370.15028)] where the preservation of the same quantity was assumed for all convex combinations.
15A86 Linear preserver problems
15A60 Norms of matrices, numerical range, applications of functional analysis to matrix theory
Full Text: DOI
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