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Information-theoretic characterization of quantum chaos

R. Schack·C. M. Caves
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Abstract

Hypersensitivity to perturbation is a criterion for chaos based on the question of how much information about a perturbing environment is needed to keep the entropy of a Hamiltonian system from increasing. We demonstrate numerically that hypersensitivity to perturbation is present in the following quantum maps: the quantum kicked top, the quantum baker's map, the quantum lazy baker's map, and the quantum sawtooth and cat maps.

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R. Schack, C. M. Caves. 1995-06-28. Information-theoretic characterization of quantum chaos. https://doi.org/10.1103/physreve.53.3257

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