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Entropy and wigner functions

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1
Laboratoire de Physique des Milieux Ionises, Universite Henri Poincare, BP239, 54506 Vandoeuvre-les-Nancy, France.

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.

PMID:
11089005
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