Modulus of convexity for operator convex functions

DOI10.1063/1.4890292zbMath1295.81030arXiv1310.0746OpenAlexW3098583204MaRDI QIDQ3189928

Isaac H. Kim

Publication date: 12 September 2014

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

Full work available at URL: https://arxiv.org/abs/1310.0746

zbMATH Keywords

matrix Bregman divergence

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Channel models (including quantum) in information and communication theory (94A40) Coding theorems (Shannon theory) (94A24) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (6)

Bounds on the concavity of quantum entropy ⋮ Finite time blowup and global solutions of Euler type equations in matrix geometry ⋮ \(L^2\) norm preserving flow in matrix geometry ⋮ Global solutions and ground states of a nonlinear Schrödinger equation in matrix geometry ⋮ Entanglement measures induced by fidelity-based distances ⋮ Relative entropy convergence for depolarizing channels

Cites Work

• Faithful squashed entanglement
• Robustness of quantum Markov chains
• Jensen's inequality for operators and Loewner's theorem
• Structure of states which satisfy strong subadditivity of quantum entropy with equality
• Relative entropy and squashed entanglement
• Bregman divergence as relative operator entropy
• A continuity property of the entropy density for spin lattice systems
• A matrix convexity approach to some celebrated quantum inequalities
• QUANTUM f-DIVERGENCES AND ERROR CORRECTION
• SUFFICIENCY OF CHANNELS OVER VON NEUMANN ALGEBRAS

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