Dynamical entropy of generalized quantum Markov chains over infinite dimensional algebras

DOI10.1063/1.532213zbMath0901.46059OpenAlexW2092634499MaRDI QIDQ4384780

Hyun Hye Shin, Yong Moon Park

Publication date: 29 November 1998

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

Full work available at URL: https://doi.org/10.1063/1.532213

zbMATH Keywords

mean entropyautomorphisms of \(C^*\)-algebrasKolmogorov-Sinai dynamical entropygeneralized quantum Markov chain over infinite-dimensional algebras

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Applications of selfadjoint operator algebras to physics (46L60) Quantum equilibrium statistical mechanics (general) (82B10) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items (6)

Entropy of quantum Markov states on Cayley trees ⋮ Open Quantum Random Walks and Quantum Markov chains on Trees I: Phase transitions ⋮ Tree-homogeneous quantum Markov chains ⋮ Refinement of quantum Markov states on trees ⋮ Open quantum random walks, quantum Markov chains and recurrence ⋮ Quantum Markov chains associated with Open Quantum random walks

Cites Work

• Dynamical entropy of quasifree automorphisms
• Dynamical entropy of C *-algebras and von Neumann algebras
• Entropy of Bogoliubov automorphisms of the canonical anticommutation relations
• Dynamical entropy of quasi-local algebras in quantum statistical mechanics
• Une nouvelle définition de l'entropie dynamique des systèmes non commutatifs. (A new definition of dynamical entropy of non-commutative systems)
• Entropy of some automorphisms of the \(II_ 1\)-factor of the free group in infinite number of generators
• The noncommutative Markovian property
• Dynamical entropy of generalized quantum Markov chains
• Dynamical entropy of space translations of CAR and CCR algebras with respect to quasi-free states
• C*-dynamical systems for which the tensor product formula for entropy fails

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