Phase space contraction and quantum operations
Quantum Physics
2010-03-31 v2 Chaotic Dynamics
Abstract
We give a criterion to differentiate between dissipative and diffusive quantum operations. It is based on the classical idea that dissipative processes contract volumes in phase space. We define a quantity that can be regarded as ``quantum phase space contraction rate'' and which is related to a fundamental property of quantum channels: non-unitality. We relate it to other properties of the channel and also show a simple example of dissipative noise composed with a chaotic map. The emergence of attaractor-like structures is displayed.
Cite
@article{arxiv.quant-ph/0508190,
title = {Phase space contraction and quantum operations},
author = {Ignacio Garcia-Mata and Marcos Saraceno and Maria Elena Spina and Gabriel Carlo},
journal= {arXiv preprint arXiv:quant-ph/0508190},
year = {2010}
}
Comments
8 pages, 6 figures. Changes added according to refferee sugestions. (To appear in PRA)