Convexity of quasi-entropy type functions: Lieb's and Ando's convexity theorems revisited
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Publication:5402316
DOI10.1063/1.4810781zbMath1282.81050arXiv1209.0546OpenAlexW3103800047MaRDI QIDQ5402316
Publication date: 6 March 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1209.0546
Measures of information, entropy (94A17) Convexity of real functions of several variables, generalizations (26B25) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)
Related Items (6)
Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance ⋮ Non-Hermitian extensions of Heisenberg type and Schrödinger type uncertainty relations ⋮ Different quantum f-divergences and the reversibility of quantum operations ⋮ From quasi-entropy to various quantum information quantities ⋮ Contraction coefficients for noisy quantum channels ⋮ Non-commutative calculus, optimal transport and functional inequalities in dissipative quantum systems
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