Approximate tensorization of the relative entropy for noncommuting conditional expectations

DOI10.1007/s00023-021-01088-3zbMath1484.81066arXiv2001.07981OpenAlexW3001038661MaRDI QIDQ2068368

Ivan Bardet, Cambyse Rouzé, Ángela Capel

Publication date: 19 January 2022

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.07981

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) General theory of (C^*)-algebras (46L05) Measures of information, entropy (94A17) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Coding theorems (Shannon theory) (94A24) Divisibility and factorizations in commutative rings (13A05) Orthogonal additivity and other conditional functional equations (39B55) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (3)

Quasi-factorization and multiplicative comparison of subalgebra-relative entropy ⋮ Complete entropic inequalities for quantum Markov chains ⋮ Entropy decay for Davies semigroups of a one dimensional quantum lattice

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