Quantum Rényi relative entropies on density spaces of \(C^\ast\)-algebras: their symmetries and their essential difference
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Publication:2324749
DOI10.1016/j.jfa.2019.06.009zbMath1436.46050arXiv1906.10412OpenAlexW2962791451MaRDI QIDQ2324749
Publication date: 12 September 2019
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.10412
Automorphisms of selfadjoint operator algebras (46L40) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)
Related Items (14)
On functional representations of positive Hilbert space operators ⋮ On certain order properties of non Kubo-Ando means in operator algebras ⋮ Characterizations of Jordan \(^*\)-isomorphisms of \(C^*\)-algebras by weighted geometric mean related operations and quantities ⋮ On a parametric family of distance measures that includes the Hellinger and the Bures distances ⋮ \(\alpha\)-\(z\)-Rényi relative entropy related quantities and their preservers ⋮ Characterizations of Jordan \(*\)-isomorphisms of \(C^*\)-algebras by Schatten \(p\)-norm of Kubo-Ando means ⋮ Applications of the automatic additivity of positive homogeneous order isomorphisms between positive definite cones in \(C^*\)-algebras ⋮ Some new characterizations of central positive elements in \(C^\ast\)-algebras ⋮ Jordan isomorphisms as preservers ⋮ On preservers related to the spectral geometric mean ⋮ On the order determining property of the norm of a Kubo-Ando mean in operator algebras ⋮ Sandwiched Rényi relative entropy on density operators ⋮ Maps on positive cones in operator algebras preserving power means ⋮ Maps on positive definite cones of 𝐶*-algebras preserving the Wasserstein mean
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