Quantum Dynamical Entropies in Discrete Classical Chaos

Abstract

We discuss certain analogies between quantization and discretization of classical systems on manifolds. In particular, we will apply the quantum dynamical entropy of Alicki and Fannes to numerically study the footprints of chaos in discretized versions of hyperbolic maps on the torus.

LaTeX, 37 pages, 12 figures; v2: Corrected typos

References in corpus (3)

• Predictability: a way to characterize Complexity
• Transition from regular to complex behaviour in a discrete deterministic asymmetric neural network model
• Coarse-Grained Probabilistic Automata Mimicking Chaotic Systems

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• Quantum dynamical entropies for discrete classical systems: a comparison
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