Entropy and Wigner functions

G. Manfredi and M. R. Feix
Phys. Rev. E 62, 4665 – Published 1 October 2000
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Abstract

The properties of an alternative definition of quantum entropy, based on Wigner functions, are discussed. Such a definition emerges naturally from the Wigner representation of quantum mechanics, and can easily quantify the amount of entanglement of a quantum state. It is shown that smoothing of the Wigner function induces an increase in entropy. This fact is used to derive some simple rules to construct positive-definite probability distributions which are also admissible Wigner functions.

  • Received 18 January 2000

DOI:https://doi.org/10.1103/PhysRevE.62.4665

©2000 American Physical Society

Authors & Affiliations

G. Manfredi1,* and M. R. Feix2

  • 1Laboratoire de Physique des Milieux Ionisés, Université Henri Poincaré, BP239, 54506 Vandoeuvre-les-Nancy, France
  • 2Subatech, Ecole des Mines de Nantes, Boîte Postale 20722, 44307 Nantes Cedex 3, France

  • *Electronic address: giovanni.manfredi@lpmi.uhp-nancy.fr

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Vol. 62, Iss. 4 — October 2000

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