Yet another proof of the joint convexity of relative entropy

DOI10.1007/s11005-022-01562-xOpenAlexW4294959357WikidataQ113900758 ScholiaQ113900758MaRDI QIDQ2674359

Mary Beth Ruskai

Publication date: 12 September 2022

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

Full work available at URL: https://arxiv.org/abs/2112.13763

Mathematics Subject Classification ID

Nonassociative rings and algebras (17-XX) Quantum theory (81-XX)

Cites Work

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• Quasi-entropies for finite quantum systems
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• \(\alpha\)-divergence of the non-commutative information geometry
• Monotone metrics on matrix spaces
• Some operator inequalities of the Schwarz type
• Another short and elementary proof of strong subadditivity of quantum entropy
• Convex trace functions and the Wigner-Yanase-Dyson conjecture
• Contraction coefficients for noisy quantum channels
• Operator extension of strong subadditivity of entropy
• A UNIFIED TREATMENT OF CONVEXITY OF RELATIVE ENTROPY AND RELATED TRACE FUNCTIONS, WITH CONDITIONS FOR EQUALITY
• A matrix convexity approach to some celebrated quantum inequalities
• Monotone Riemannian metrics and relative entropy on noncommutative probability spaces
• Inequalities for quantum entropy: A review with conditions for equality
• Loewner's Theorem on Monotone Matrix Functions
• INFORMATION CONTENTS OF DISTRIBUTIONS
• Remarks on Kim's strong subadditivity matrix inequality: Extensions and equality conditions
• Mean Entropy of States in Quantum-Statistical Mechanics
• Conditional expectation in an operator algebra. IV. Entropy and information
• LIEB'S SIMPLE PROOF OF CONCAVITY OF (A, B) ↦ Tr A^p K^† B^1-p K AND REMARKS ON RELATED INEQUALITIES

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