Authors:
- This is a very active area of research especially because of its link to fundamental physics as well as to (quantum) computing and applied physics like (quantum) optics
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Physics Monographs (LNPMGR, volume 67)
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Table of contents (6 chapters)
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Front Matter
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Back Matter
About this book
Reviews
"The philosophy that guides the presentation is that though quantum theory does have a dynamical aspect, a predominant part of the theory is simply about a new kind of probabilistic model for expressing uncertainties of various kinds. [...] All the lectures in this book are presented in the author’s characteristic no-nonsense style, making it a gem of a reference work. The bibliography, in fact, is a rich source of material, indispensable for filling in how to actually derive all the advertised results. The clear-cut purpose of the monograph is not to go through the mechanics of each theorem, but to paint a picture in modern art. Throughout, there is an emphasis on how each and every quantum result differs from its analog in the classical probabilistic model. One does, however, fear that a central illuminating thread is somehow missing from the exposition, though the author cannot be blamed: It is a thread no one has yet seen. [...] In the mean time, though, an exposition like this is part of the necessary journey." (Quantum Information and Computation 3/2, 2003)
"The probabilistic structure of quantum theory has been investigated since the well-known monograph of J. von Neumann Mathematical Foundations of Quantum Mechanics [...]. The present book deals with the further development of the theory, namely with the modern consistent quantum statistical theory that was created in the 1970-80s as a logical extension of the statistical interpretation based on the mathematical foundation of modern functional analysis. [...] The book is written clearly and is self-contained. It will be useful for both mathematicians and physicists interested in the foundations of quantum mechanics." (Zentralblatt MATH, 999/24, 2002)
Authors and Affiliations
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Steklov Mathematical Institute, Moscow, GSP-1, Russian Federation
Alexander S. Holevo
Bibliographic Information
Book Title: Statistical Structure of Quantum Theory
Authors: Alexander S. Holevo
Series Title: Lecture Notes in Physics Monographs
DOI: https://doi.org/10.1007/3-540-44998-1
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2001
Hardcover ISBN: 978-3-540-42082-8Published: 20 June 2001
Softcover ISBN: 978-3-642-07562-9Published: 09 October 2011
eBook ISBN: 978-3-540-44998-0Published: 01 July 2003
Series ISSN: 0940-7677
Edition Number: 1
Number of Pages: IX, 166
Topics: Quantum Physics, Complex Systems, Probability Theory and Stochastic Processes, Statistical Physics and Dynamical Systems