scientific article; zbMATH DE number 7010354

zbMath1413.47032MaRDI QIDQ4613487

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Publication date: 1 February 2019

Full work available at URL: http://www.spm.uem.br/bspm/pdf/vol37-1/11.pdf

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zbMATH Keywords

convex functiontrace inequalityquantum \(f\)-divergenceself-adjoint bounded linear operator

Mathematics Subject Classification ID

Linear operator inequalities (47A63) General theory of linear operators (47A99)

Cites Work

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• From \(f\)-divergence to quantum quasi-entropies and their use
• From quasi-entropy to various quantum information quantities
• Approximation of the integral mean divergence and \(f\)-divergence via mean results
• A refinement of Jensen's inequality with applications for \(f\)-divergence measures
• A matrix trace inequality for products of Hermitian matrices
• On matrix trace inequalities and related topics for products of Hermitian matrices
• New inequalities for Csiszár divergence and applications
• A new class of metric divergences on probability spaces and its applicability in statistics
• Some general divergence measures for probability distributions
• From quasi-entropy
• QUANTUM f-DIVERGENCES AND ERROR CORRECTION
• A matrix trace inequality
• A matrix trace inequality

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