English

Entropy and Wigner Functions

Quantum Physics 2009-11-07 v1

Abstract

The properties of an alternative definition of quantum entropy, based on Wigner functions, are discussed. Such 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

Keywords

Cite

@article{arxiv.quant-ph/0203102,
  title  = {Entropy and Wigner Functions},
  author = {G. Manfredi and M. R. Feix},
  journal= {arXiv preprint arXiv:quant-ph/0203102},
  year   = {2009}
}

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18 pages