A family of monotone quantum relative entropies

DOI10.1007/s11005-014-0689-yzbMath1304.47025arXiv1309.4046OpenAlexW3101502799MaRDI QIDQ2014735

Julien Sabin, Mathieu Lewin

Publication date: 16 June 2014

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

Full work available at URL: https://arxiv.org/abs/1309.4046

zbMATH Keywords

relative entropymatrix inequalitiesstrong subadditivityKlein inequality

Mathematics Subject Classification ID

Linear operator inequalities (47A63) General mathematical topics and methods in quantum theory (81Q99) Applications of functional analysis in quantum physics (46N50)

Related Items (13)

Entropy minimization for many-body quantum systems ⋮ Quantum \(f\)-divergence preserving maps on positive semidefinite operators acting on finite dimensional Hilbert spaces ⋮ Maps on quantum states preserving Bregman and Jensen divergences ⋮ Bose-Einstein condensation in a dilute, trapped gas at positive temperature ⋮ A lower bound for the BCS functional with boundary conditions at infinity ⋮ The quantum drift-diffusion model: existence and exponential convergence to the equilibrium ⋮ Derivation of nonlinear Gibbs measures from many-body quantum mechanics ⋮ The Hartree equation for infinitely many particles. I: Well-posedness theory ⋮ The quantum Liouville-BGK equation and the moment problem ⋮ Note on a family of monotone quantum relative entropies ⋮ The Hartree and Vlasov equations at positive density ⋮ Information divergence and distance measures for quantum states ⋮ On the joint convexity of the Bregman divergence of matrices

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