Entropy and Wigner functions
Giovanni Manfredi, Marc Roy Feix
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.
arXiv:quant-ph/0203102•Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics•Oct 1, 2000•117 citations