Phase space contraction and quantum operations

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.

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

References in corpus (3)

• Conditions for strictly purity-decreasing quantum Markovian dynamics
• Kraus representation of damped harmonic oscillator and its application
• Noise models for superoperators in the chord representation

Cited by in corpus (5)

• Normalization procedure for relaxation studies in NMR quantum information processing
• Stable classical structures in dissipative quantum chaotic systems
• Spectral behavior of contractive noise
• Weyl law for contractive maps
• Practical recipes for the model order reduction, dynamical simulation, and compressive sampling of large-scale open quantum systems