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arXiv · 1901.01900

Phase-space continuity equations for quantum decoherence, purity, von Neumann and R\'enyi entropies

Alex E. Bernardini·Orfeu Bertolami
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Abstract

Phase-space features of the Wigner flow are examined so to provide a set of continuity equations that describe the flux of quantum information in the phase-space. The reported results suggest that the non-classicality profile of anharmonic (periodic) quantum systems can be consistently obtained in terms of the fluxes of probability, purity and von Neumann entropy. Extensions of the such phase-space quantifiers are also investigated in the context of the so-called R\'enyi entropy.

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Alex E. Bernardini, Orfeu Bertolami. 2019-01-07. Phase-space continuity equations for quantum decoherence, purity, von Neumann and R\'enyi entropies. https://doi.org/10.1088/1742-6596/1275/1/012032

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