Authors: Carlos F Lardizabal
Publish Date: 2012/07/18
Volume: 12, Issue: 2, Pages: 1033-1051
Abstract
We describe ωlimit sets of completely positive CP maps over finitedimensional spaces In such sets and in its corresponding convex hulls CP maps present isometric behavior and the states contained in it commute with each other Motivated by these facts we describe a quantization procedure based on CP maps which are induced by Markov transfer operators Classical dynamics are described by an action over essentially bounded functions A nonexpansive linear map which depends on a choice of a probability measure is the centerpiece connecting phenomena over function and matrix spaces
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