Bibliographic Information

Quantum entropy and its use

Masanori Ohya, Dénes Petz

(Texts and monographs in physics)

Springer-Verlag, c1993

  • : Berlin
  • : New York

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Note

Includes bibliographical references (p. [315]-331) and index

Description and Table of Contents

Description

This book provides an overview of quantum entropy theory from the early days of quantum mechanics to recent developments. The mathematical formalism is based on operator theory and functional analysis. The goal is a comprehensive account of the different entropy concepts, their interrelations and use. Examples from the ideas discussed are entropy of a quantum state, relative entropy, mutual entropy, entropy of a coarse graining and dynamical entropy. Numerous fundamental properties of quantum information measurement are developed, including the von Neumann entropy of a statistical operator and its limiting normalized version, the entropy rate. Use of quantum entropy quantities is made in perturbation theory, central limit theorems, thermodynamics of spin systems, entropic uncertainty relations, and optical communication.

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Details
  • NCID
    BA19811625
  • ISBN
    • 3540548815
    • 0387548815
  • LCCN
    92029580
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Berlin ; Tokyo
  • Pages/Volumes
    viii, 335 p.
  • Size
    25 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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