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Information Theoretical Aspects of Quantum Mechanical Entropy

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Information Dynamics

Part of the book series: NATO ASI Series ((NSSB,volume 256))

Abstract

Properties of von Neumann’s entropy of a density matrix ρ, i.e., S(ρ) = -kTrρ ln ρ, are considered within the framework of quantum information theory. Although the von Neumann entropy shares many properties with the Boltzmann, Gibbs, Shannon, Baron-Jauch entropies, in some respects there exist considerable differences (i.e., the lack of monotonicity). Besides the von Neumann entropy one can also think of other measures (or concepts) of quantum information, some of them are discussed. The — rather tricky — problem of dynamical entropy for quantum systems is treated, too.

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Author information

Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Wien, A-1090, Wien, Austria

    Alfred Wehrl

Authors
  1. Alfred Wehrl
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Editor information

Editors and Affiliations

  1. Max-Planck-Institut für extraterrestrische Physik, Garching, Germany

    Harald Atmanspacher  & Herbert Scheingraber  & 

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© 1991 Springer Science+Business Media New York

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Wehrl, A. (1991). Information Theoretical Aspects of Quantum Mechanical Entropy. In: Atmanspacher, H., Scheingraber, H. (eds) Information Dynamics. NATO ASI Series, vol 256. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-2305-9_22

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  • DOI: https://doi.org/10.1007/978-1-4899-2305-9_22

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-2307-3

  • Online ISBN: 978-1-4899-2305-9

  • eBook Packages: Springer Book Archive

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