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Lax-type equation unifying gradient systems in quantum and classical statistical models

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Czechoslovak Journal of Physics Aims and scope

Abstract

In a previous paper, Y. Uwanoet al.: nlin/SI:0512004, the author made a short remark on a similarity between gradient systems on a quantum information space and on a classical one: One is on the space of regular relative-configurations of multi-qubit states of ordered tuples and the other is on the space of multinomial distributions studied by Y. Nakamura: Japan J. Indust. Appl. Math.10 (1993) 179. This paper aims to report very briefly a Lax-type equation unifying the gradient systems on the information spaces with quantum and with classical features.

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Authors and Affiliations

  1. Department of Complex Systems, School of Systems Information Science Future University Hakodate, 116-2 Kamedanakano-cho, 041-8655, Hakodate, Japan

    Yoshio Uwano

Authors
  1. Yoshio Uwano
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Additional information

Presented at the 15th International Colloquium on “Integrable Systems and Quantum Symmetries”, Prague, 15–17 June 2006.

This work is partly supported by Grant-in-Aid Scientific Research No. 16560060 from JSPS and by Target Research Expenses No. A-3 from Future University Hakodate.

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Uwano, Y. Lax-type equation unifying gradient systems in quantum and classical statistical models. Czech J Phys 56, 1311–1316 (2006). https://doi.org/10.1007/s10582-006-0443-5

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  • DOI: https://doi.org/10.1007/s10582-006-0443-5

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