Characterizing Schwarz maps by tracial inequalities

DOI10.1007/s11005-023-01636-4OpenAlexW4319020177MaRDI QIDQ2687711

Alexander Müller-Hermes, Eric Anders Carlen

Publication date: 7 March 2023

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.03433

zbMATH Keywords

Schwarz maps2-positive mapsmonotonicity of quantum divergencestracial inequalities

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Operator theory (47-XX) Quantum entropies (81P17)

Related Items

Equality cases in monotonicity of quasi-entropies, Lieb’s concavity and Ando’s convexity ⋮ Some convexity and monotonicity results of trace functionals

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• Positive Linear Maps on C^*-Algebras
• More operator versions of the Schwarz inequality

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