Lecture Notes in Mathematics

Quantum Symmetries

Metabief, France 2014

Authors: Aubrun, Guillaume, Skalski, Adam, Speicher, Roland

Editors: Franz, Uwe (Ed.)

  • Gives an accessible introduction to current research
  • Provides a common point of view on several interconnected, but originally independently developed areas of mathematics
  • Open problems suggest directions for future research
  • Provides a survey of current research topics in functional analysis and its applications to quantum physics
  • Offers a unique blend of uses of quantum symmetries (in quantum groups, non-commutative probability and quantum physics)
  • Covers a variety of different facets of the modern concept of quantum symmetries
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eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-63206-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA
  • ISBN 978-3-319-63205-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Providing an introduction to current research topics in functional analysis and its applications to quantum physics, this book presents three lectures surveying recent progress and open problems.

 A special focus is given to the role of symmetry in non-commutative probability, in the theory of quantum groups, and in quantum physics. The first lecture presents the close connection between distributional symmetries and independence properties. The second introduces many structures (graphs, C*-algebras, discrete groups) whose quantum symmetries are much richer than their classical symmetry groups, and describes the associated quantum symmetry groups. The last lecture shows how functional analytic and geometric ideas can be used to detect and to quantify entanglement in high dimensions.


The book will allow graduate students and young researchers to gain a better understanding of free probability, the theory of compact quantum groups, and applications of the theory of Banach spaces to quantum information. The latter applications will also be of interest to theoretical and mathematical physicists working in quantum theory.

Table of contents (4 chapters)

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-63206-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA
  • ISBN 978-3-319-63205-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Quantum Symmetries
Book Subtitle
Metabief, France 2014
Authors
Editors
  • Uwe Franz
Series Title
Lecture Notes in Mathematics
Series Volume
2189
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-63206-3
DOI
10.1007/978-3-319-63206-3
Softcover ISBN
978-3-319-63205-6
Series ISSN
0075-8434
Edition Number
1
Number of Pages
IX, 119
Number of Illustrations and Tables
15 b/w illustrations, 3 illustrations in colour
Topics