Probabilistic and Statistical Aspects of Quantum Theory

Probabilistic and Statistical Aspects of Quantum Theory

by Holevo, Alexander

Type Book
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This book is devoted to aspects of the foundations of Quantum Mechanics in which probabilistic and statistical concepts play an essential role. The main part of the book concerns the quantitative statistical theory of quantum measurement, based on the notion of Positive Operator-valued Measures. During the past years there has been substantial progress in this direction, stimulated to a great extent by new applications such as Quantum Optics, Quantum Communication and high-precision experiments…

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Title Statements

  • Full title :Probabilistic and Statistical Aspects of Quantum Theory / by Alexander Holevo.

Summary

This book is devoted to aspects of the foundations of Quantum Mechanics in which probabilistic and statistical concepts play an essential role. The main part of the book concerns the quantitative statistical theory of quantum measurement, based on the notion of Positive Operator-valued Measures. During the past years there has been substantial progress in this direction, stimulated to a great extent by new applications such as Quantum Optics, Quantum Communication and high-precision experiments. The questions of statistical interpretation, quantum symmetries, theory of canonical commutation relations and Gaussian states, uncertainty relations, as well as new fundamental bounds concerning the accuracy of quantum measurements, are discussed in this book in an accessible yet rigorous way. Compared to the first edition, there is a new Supplement devoted to the hidden variable issue. Comments and the bibliography have also been extended and updated.

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Edition Statements

  • Publication Date:2011.

Publication Statements

Notes

Titre de l'écran-titre (visionné le 16 mai 2014).

NOTICE EN COURS DE TRAITEMENT.

The Physical Object

  • Description:1 ressource en ligne

Edition Identifiers

  • ISBN:9788876423789, 8876423788
  • oclc:ocn880936759
  • LC Classification:QA274-274.9
  • Dewey Decimal:519.2

Table of Contents

Foreword to 2nd English edition -- Foreword to 2nd Russian edition -- Preface -- Chapters: I. Statistical Models -- II. Mathematics of Quantum Theory -- III. Symmetry Groups in Quantum Mechanics -- IV. Covariant Measurements and Optimality -- V. Gaussian States -- VI Unbiased Measurements -- Supplement -- Statistical Structure of Quantum Theory and Hidden Variables -- References.

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Subjects

applied mathematics Distribution (Probability theory) distribution (statistics-related concep… Distribution (théorie des probabilités) e-books Livres électroniques Livres numériques mathematics Mathématiques

Writers

Holevo, Alexander

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