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Logical entropy of quantum dynamical systems

Ebrahimzadeh Abolfazl

Open Physics · 2016

doi:10.1515/phys-2015-0058 (opens in a new tab)

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Abstract

This paper introduces the concepts of logical entropy and conditional logical entropy of hnite partitions on a quantum logic. Some of their ergodic properties are presented. Also logical entropy of a quantum dynamical system is dehned and ergodic properties of dynamical systems on a quantum logic are investigated. Finally, the version of Kolmogorov-Sinai theorem is proved.

Abstract licence: CC BY-NC-ND

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