Quantum Entropy and Its Use

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Overview

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.
This new softcover corrected reprint contains summaries of recent developments added to the ends of the chapters.
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Product Details

  • ISBN-13: 9780387548814
  • Publisher: Springer-Verlag New York, LLC
  • Publication date: 1/28/1993
  • Series: Texts and Monographs in Physics
  • Pages: 335
  • Product dimensions: 6.40 (w) x 9.51 (h) x 0.94 (d)

Table of Contents

Pt. I Entropies for finite quantum systems
1 Fundamental concepts 15
2 Postulates for entropy and relative entropy 39
3 Convex trace functions 49
Pt. II Entropies for general quantum systems
4 Modular theory and auxiliaries 69
5 Relative entropy of states of operator algebras 79
6 From relative entropy to entropy 101
7 Functionals of entropy type 113
Pt. III Channeling transformation and coarse graining
8 Channels and their transpose 137
9 Sufficient channels and measurements 153
10 Dynamical entropy 175
11 Stationary processes 197
Pt. IV Perturbation theory
12 Perturbation of states 215
13 Variational expression of perturbational limits 231
Pt. V Miscellanea
14 Central limit and quasi-free reduction 251
15 Thermodynamics of quantum spin systems 269
16 Entropic uncertainty relations 283
17 Temperley-Lieb algebras and index 295
18 Optical communication processes 307
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