Monographs (Scuola Normale Superiore)

Probabilistic and Statistical Aspects of Quantum Theory

Authors: Holevo, Alexander S.

  • Original approach to foundations of quantum mechanics via mathematical statistics, leading to substantial generalization of standard notion of quantum observable
  • Includes an introduction to the ‘non-commutative’ mathematical statistics, providing a methodological basis for quantitative study of quantum measurements
  • Systematic study of correspondence between classical and quantum observables based on the concepts of covariance and optimality
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About this book

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.

Table of contents (7 chapters)

Buy this book

eBook $29.99
price for USA (gross)
  • ISBN 978-88-7642-378-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $39.95
price for USA
  • ISBN 978-88-7642-375-8
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Probabilistic and Statistical Aspects of Quantum Theory
Authors
Series Title
Monographs (Scuola Normale Superiore)
Series Volume
1
Copyright
2011
Publisher
Edizioni della Normale
Copyright Holder
Springer Basel
eBook ISBN
978-88-7642-378-9
DOI
10.1007/978-88-7642-378-9
Softcover ISBN
978-88-7642-375-8
Edition Number
1
Number of Pages
334
Topics