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Entropy functionals of Kolmogorov-Sinai type and their limit theorems

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Abstract

Two functionals\(\tilde S\) and\(\tilde I\) are introduced forC *-dynamical systems with invariant states and stationary channels. It is shown that the Kolmogorov-Sinai-type theorems hold for these functionals\(\tilde S\) and\(\tilde I\). Our functionals\(\tilde S\) and\(\tilde I\) are set within the framework of quantum information theory and generalize a quantum KS entropy by CNT and the mutual entropy by Ohya.

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Authors and Affiliations

  1. Department of Applied Science, Yamaguchi University, Tokiwadai 2557, 755, Ube City, Yamaguchi, Japan

    Naohumi Muraki

  2. Department of Information Sciences, Science University of Tokyo, 278, Noda City, Chiba, Japan

    Masanori Ohya

Authors
  1. Naohumi Muraki
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  2. Masanori Ohya
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Muraki, N., Ohya, M. Entropy functionals of Kolmogorov-Sinai type and their limit theorems. Lett Math Phys 36, 327–335 (1996). https://doi.org/10.1007/BF00943285

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  • DOI: https://doi.org/10.1007/BF00943285

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