
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.
02.30.cj, 02.10.ab, Physics, QC1-999, 89.70.cf, logical entropy, partition, dynamical system, quantum logic
02.30.cj, 02.10.ab, Physics, QC1-999, 89.70.cf, logical entropy, partition, dynamical system, quantum logic
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