Entropy functionals of Kolmogorov-Sinai type and their limit theorems期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Entropy functionals of Kolmogorov-Sinai type and their limit theorems

Authors:	Naohumi Muraki Masanori Ohya

Institution:	(1) Department of Applied Science, Yamaguchi University, Tokiwadai 2557, 755 Ube City, Yamaguchi, Japan;(2) Department of Information Sciences, Science University of Tokyo, 278 Noda City, Chiba, Japan

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.

Keywords:	94A17
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