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Complexity in Dynamics and Computation

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Recent Developments in Infinite-Dimensional Analysis and Quantum Probability

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Abstract

A new description of chaos in both classical and quantum dynamical systems is discussed in the context of information dynamics, which is called the chaos degree. The algorithm computing this degree is shown. Quantum algorithm solving the SAT problem, on of the NP complete problems, is studied and it is discussed that the SAT problem can be solved in polynomial time when a certain mixture of two orthogonal vectors is physically detected.

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Author information

Authors and Affiliations

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

    Masanori Ohya

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  1. Masanori Ohya
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Editor information

Luigi Accardi Hui-Hsiung Kuo Nobuaki Obata Kimiaki Saito Si Si Ludwig Streit

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Dedicated to Professor T. Hida for his 70th birthday

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Ohya, M. (2001). Complexity in Dynamics and Computation. In: Accardi, L., Kuo, HH., Obata, N., Saito, K., Si, S., Streit, L. (eds) Recent Developments in Infinite-Dimensional Analysis and Quantum Probability. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0842-6_21

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  • DOI: https://doi.org/10.1007/978-94-010-0842-6_21

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-3842-3

  • Online ISBN: 978-94-010-0842-6

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