Phase-space continuity equations for quantum decoherence, purity, von Neumann and R\'enyi entropies
Quantum Physics
2019-09-24 v1 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.1901.01900,
title = {Phase-space continuity equations for quantum decoherence, purity, von Neumann and R\'enyi entropies},
author = {Alex E. Bernardini and Orfeu Bertolami},
journal= {arXiv preprint arXiv:1901.01900},
year = {2019}
}
Comments
7 pages. Based on a talk delivered by A.E.B. at DICE 2018 Spacetime - Matter - Quantum Mechanics ... "From discrete structures and dynamics to top-down causation", 17th - 21th September 2018, Castiglioncello, Italy