Phase space contraction and quantum operations

Details Phase space contraction and quantum operations Phase space contraction and quantum operations

2005-08-25

arxiv.org/abs/quant-ph/0508190v2

Phys. Rev. A 72, 062315 (2005)

Physics

Quantum Physics

8 pages, 6 figures. Changes added according to refferee sugestions. (To appear in PRA)

Scientific paper

10.1103/PhysRevA.72.062315

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.

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