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Information Theory for Quantum Systems

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Information Complexity and Control in Quantum Physics

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 294))

Abstract

Basic concepts and results of physical information theory are presented. The entropy defect and Shannon’s measure of information are introduced and the entropy defect principle is formulated for both quasiclassical and consistently quantum description of a physical system. Results related to ideal physical information channels are discussed. The entropy defect and the amount of information coincide in the quasiclassical case, but the latter quantity is, in general, smaller than the former in quantum case due to the quantum-mechanical irreversibility of measurement. The physical meaning of both quantities is analyzed in connection with Gibbs paradox and the maximum work obtainable from a non-equilibrium system. Indirect (generalized) vs. direct (von Neumann’s) quantum measurements are considered. It is shown that in any separable infinite-dimensional Hilbert space direct and indirect quantum measurements yield equal maximum information.

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Authors and Affiliations

  1. Boston University, Boston, USA

    Lev B. Levitin

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  1. Lev B. Levitin
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Editor information

A. Blaquiere S. Diner G. Lochak

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© 1987 Springer-Verlag Wien

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Levitin, L.B. (1987). Information Theory for Quantum Systems. In: Blaquiere, A., Diner, S., Lochak, G. (eds) Information Complexity and Control in Quantum Physics. International Centre for Mechanical Sciences, vol 294. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2971-5_2

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  • DOI: https://doi.org/10.1007/978-3-7091-2971-5_2

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-81992-0

  • Online ISBN: 978-3-7091-2971-5

  • eBook Packages: Springer Book Archive

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