Phase-space continuity equations for quantum decoherence, purity, von Neumann and Rényi entropies
arXiv:1901.01900 · doi:10.1088/1742-6596/1275/1/012032
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 Rényi entropy.
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