Quantum dynamical entropies for classical stochastic systems

DOI10.1016/S0034-4877(03)90009-7zbMath1125.82320arXivmath-ph/0206037OpenAlexW3099289369MaRDI QIDQ1422468

Mark Fannes, Bart Haegeman

Publication date: 15 February 2004

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0206037

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Applications of selfadjoint operator algebras to physics (46L60) Quantum equilibrium statistical mechanics (general) (82B10) Quantum stochastic calculus (81S25) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Cites Work

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• Dynamical entropy of C *-algebras and von Neumann algebras
• Finitely correlated states on quantum spin chains
• Defining quantum dynamical entropy
• Optimal decompositions of quantum states with respect to entropy
• Dynamical entropy for Markov operators
• QUANTUM DYNAMICAL ENTROPY FOR COMPLETELY POSITIVE MAP
• AN ALGEBRAIC APPROACH TO THE KOLMOGOROV-SINAI ENTROPY
• Entropy of a subalgebra and quantum estimation

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