The dynamical entropy of the quantum Arnold cat map

DOI10.1007/BF00750844zbMath0842.58054OpenAlexW2014263469MaRDI QIDQ1903519

Robert Alicki, J. Andries, Mark Fannes, Pim Tuyls

Publication date: 4 August 1996

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

Full work available at URL: https://doi.org/10.1007/bf00750844

zbMATH Keywords

flowLyapunov exponentdynamical entropynoncommutative two-dimensional torusquantum Arnold cat map

Mathematics Subject Classification ID

Quantum measurement theory, state operations, state preparations (81P15) Entropy in general topology (54C70) Ergodic theory (37A99) Dynamical systems with hyperbolic behavior (37D99)

Related Items

Quantum dynamical entropy of spin systems, A CONTINUITY PROPERTY OF QUANTUM DYNAMICAL ENTROPY, Quantization: Non-commutative dynamical entropy, Ergodic properties of automorphisms on the rotation algebra

Cites Work

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• A non-commutative version of the Arnold cat map
• Dynamical entropy of C *-algebras and von Neumann algebras
• Non-Markovian quantum stochastic processes and their entropy
• Une nouvelle définition de l'entropie dynamique des systèmes non commutatifs. (A new definition of dynamical entropy of non-commutative systems)
• Defining quantum dynamical entropy
• Comparison of dynamical entropies for the noncommutative shifts
• Anosov actions on noncommutative algebras
• An Algebraic Approach to Quantum Field Theory