Dynamical entropy of generalized quantum Markov chains

DOI10.1007/BF00761124zbMath0814.46056MaRDI QIDQ1334980

Yong Moon Park

Publication date: 26 September 1994

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

zbMATH Keywords

mean entropyconditional density amplitudesdynamical entropy in the sense of Connes, Narnhofer, and Thirringshift automorphism of generalized quantum Markov chains

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Entropy and other invariants (28D20)

Related Items (14)

VARIATIONAL PRINCIPLE AND THE DYNAMICAL ENTROPY OF SPACE TRANSLATION ⋮ QUANTUM DYNAMICAL ENTROPY FOR COMPLETELY POSITIVE MAP ⋮ Entropy of quantum Markov states on Cayley trees ⋮ MARKOVIAN KMS-STATES FOR ONE-DIMENSIONAL SPIN CHAINS ⋮ Note on transmitted complexity for quantum dynamical systems ⋮ Dynamical entropy of generalized quantum Markov chains on gauge-invariant \(C^{*}\)-algebras ⋮ On entropy of quantum compound systems ⋮ Note on entropies for quantum dynamical systems ⋮ Note on entropies of quantum dynamical systems ⋮ Some Aspects of Complexities for Quantum Processes ⋮ On Complexity for Open System Dynamics ⋮ Dynamical entropy of generalized quantum Markov chains over infinite dimensional algebras ⋮ Quantum Markov chains associated with Open Quantum random walks ⋮ Quantum transmission processes and their entropies

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
• Entropy of some automorphisms of the \(II_ 1\)-factor of the free group in infinite number of generators
• Entropy for automorphisms of \(II_1\) von Neumann algebras
• Dynamical entropy of space translations of CAR and CCR algebras with respect to quasi-free states
• Shift Automorphisms of the Hyperfinite Factor
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