Relative entropy for von Neumann subalgebras
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Publication:5853649
DOI10.1142/S0129167X20500469zbMath1471.46063arXiv1909.01906MaRDI QIDQ5853649
Li Gao, Marius Junge, Nicholas Laracuente
Publication date: 11 March 2021
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.01906
Applications of selfadjoint operator algebras to physics (46L60) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Subfactors and their classification (46L37)
Related Items (10)
Quasi-factorization and multiplicative comparison of subalgebra-relative entropy ⋮ Complete entropic inequalities for quantum Markov chains ⋮ Eventually entanglement breaking Markovian dynamics: structure and characteristic times ⋮ Quantum teleportation in the commuting operator framework ⋮ Complete Logarithmic Sobolev inequality via Ricci curvature bounded below II ⋮ Entropy decay for Davies semigroups of a one dimensional quantum lattice ⋮ Curvature-dimension conditions for symmetric quantum Markov semigroups ⋮ Fisher information and logarithmic Sobolev inequality for matrix-valued functions ⋮ Complete logarithmic Sobolev inequalities via Ricci curvature bounded below ⋮ Approximate tensorization of the relative entropy for noncommuting conditional expectations
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