7 found
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  1.  64
    Quantum-Like Model for Decision Making Process in Two Players Game: A Non-Kolmogorovian Model.Masanari Asano, Masanori Ohya & Andrei Khrennikov - 2011 - Foundations of Physics 41 (3):538-548.
    In experiments of games, players frequently make choices which are regarded as irrational in game theory. In papers of Khrennikov (Information Dynamics in Cognitive, Psychological and Anomalous Phenomena. Fundamental Theories of Physics, Kluwer Academic, Norwell, 2004; Fuzzy Sets Syst. 155:4–17, 2005; Biosystems 84:225–241, 2006; Found. Phys. 35(10):1655–1693, 2005; in QP-PQ Quantum Probability and White Noise Analysis, vol. XXIV, pp. 105–117, 2009), it was pointed out that statistics collected in such the experiments have “quantum-like” properties, which can not be explained in (...)
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  2.  54
    Quantum Information Biology: From Information Interpretation of Quantum Mechanics to Applications in Molecular Biology and Cognitive Psychology.Masanari Asano, Irina Basieva, Andrei Khrennikov, Masanori Ohya, Yoshiharu Tanaka & Ichiro Yamato - 2015 - Foundations of Physics 45 (10):1362-1378.
    We discuss foundational issues of quantum information biology —one of the most successful applications of the quantum formalism outside of physics. QIB provides a multi-scale model of information processing in bio-systems: from proteins and cells to cognitive and social systems. This theory has to be sharply distinguished from “traditional quantum biophysics”. The latter is about quantum bio-physical processes, e.g., in cells or brains. QIB models the dynamics of information states of bio-systems. We argue that the information interpretation of quantum mechanics (...)
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  3. Non-Kolmogorovian Approach to the Context-Dependent Systems Breaking the Classical Probability Law.Masanari Asano, Irina Basieva, Andrei Khrennikov, Masanori Ohya & Ichiro Yamato - 2013 - Foundations of Physics 43 (7):895-911.
    There exist several phenomena breaking the classical probability laws. The systems related to such phenomena are context-dependent, so that they are adaptive to other systems. In this paper, we present a new mathematical formalism to compute the joint probability distribution for two event-systems by using concepts of the adaptive dynamics and quantum information theory, e.g., quantum channels and liftings. In physics the basic example of the context-dependent phenomena is the famous double-slit experiment. Recently similar examples have been found in biological (...)
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  4.  64
    Quantum Mutual Entropy Defined by Liftings.Satoshi Iriyama & Masanori Ohya - 2011 - Foundations of Physics 41 (3):406-413.
    A lifting is a map from the state of a system to that of a compound system, which was introduced in Accardi and Ohya (Appl. Math. Optim. 39:33–59, 1999). The lifting can be applied to various physical processes.In this paper, we defined a quantum mutual entropy by the lifting. The usual quantum mutual entropy satisfies the Shannon inequality (Ohya in IEEE Trans. Inf. Theory 29(5):770–774, 1983), but the mutual entropy defined through the lifting does not satisfy this inequality unless some (...)
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  5.  21
    Quantum Markov Model for Data From Shafir-Tversky Experiments in Cognitive Psychology.Luigi Accardi, Andrei Khrennikov & Masanori Ohya - 2009 - In Institute of Physics Krzysztof Stefanski (ed.), Open Systems and Information Dynamics. World Scientific Publishing Company. pp. 16--04.
  6.  24
    On a Combined Quantum Baker's Map and its Characterization by Entropic Chaos Degree.Kei Inoue, Masanori Ohya & Igor V. Volovich - 2009 - In Institute of Physics Krzysztof Stefanski (ed.), Open Systems and Information Dynamics. World Scientific Publishing Company. pp. 16--02.
  7.  10
    On Generalized Quantum Turing Machine and Its Applications.Satoshi Iriyama & Masanori Ohya - 2009 - In Institute of Physics Krzysztof Stefanski (ed.), Open Systems and Information Dynamics. World Scientific Publishing Company. pp. 16--02.
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