Entropy transmission in \(C^*\)-dynamical systems
type: Item
instance of: scholarly article
title: Entropy transmission in \(C^*\)-dynamical systems
zbMATH Open document ID: 0578.46059
DOI: 10.1016/0022-247X(84)90076-3
author: Masanori Ohya
published in: Journal of Mathematical Analysis and Applications
publication date: 1984-01-01T00:00:00Z
review text: The author studies the entropy transmission in quantum systems within \(C^*\)-algebraic framework. Three different entropies of a state in a \(C^*\)-dynamical system are introduced. The entropy (information) transmission through a channel between two dynamical systems is investigated. A condition is found under which the entropy becomes a dynamical invariant.
Mathematics Subject Classification ID: 46L55
Mathematics Subject Classification ID: 28D20
zbMATH DE Number: 3925597
zbMATH Keywords: entropy transmission in quantum systems
zbMATH Keywords: entropies of a state in a \(C^*\)-dynamical system
reviewed by: Dragan Milicic
MaRDI profile type: Publication
cites work: On the equivalence of the KMS condition and the variational principle for quantum lattice systems
cites work: Relative entropy of states of von Neumann algebras
cites work: Relative entropy for states of von Neumann algebras. II
cites work: Q3854185
cites work: Sufficiency, KMS condition and relative entropy in von Neumann algebras
cites work: Problems in the mathematical theory of quantum communication channels
cites work: Q4079481
cites work: Quantum information theory
cites work: Expectations and entropy inequalities for finite quantum systems
cites work: Completely positive maps and entropy inequalities
cites work: Quantum ergodic channels in operator algebras
cites work: On compound state and mutual information in quantum information theory (Corresp.)
cites work: Theory of operator algebras I.
cites work: Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory
cites work: Conditional expectation in an operator algebra. IV. Entropy and information
cites work: Representations and extremal properties of averaging operators and their applications to information shannels
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description: scientific article; zbMATH DE number 3925597