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Quantum symmetriesMetabief, France 2...

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Quantum symmetriesMetabief, France 2014 /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Quantum symmetriesby Guillaume Aubrun, Adam Skalski, Roland Speicher ; edited by Uwe Franz.
Reminder of title:	Metabief, France 2014 /
Author:	Aubrun, Guillaume.
other author:	Skalski, Adam.
Published:	Cham :Springer International Publishing :2017.
Description:	ix, 119 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Symmetry (Physics)
Online resource:	http://dx.doi.org/10.1007/978-3-319-63206-3
ISBN:	9783319632063$q(electronic bk.)

Quantum symmetriesMetabief, France 2014 /
Aubrun, Guillaume.

Quantum symmetriesMetabief, France 2014 /[electronic resource] :by Guillaume Aubrun, Adam Skalski, Roland Speicher ; edited by Uwe Franz. - Cham :Springer International Publishing :2017. - ix, 119 p. :ill. (some col.), digital ;24 cm. - Lecture notes in mathematics,21890075-8434 ;. - Lecture notes in mathematics ;2035..

1 Introduction -- 2 Free Probability and Non-Commutative Symmetries -- 3 Quantum Symmetry Groups and Related Topics -- 4 Quantum Entanglement in High Dimensions -- References -- Index.

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.

ISBN: 9783319632063$q(electronic bk.)

Standard No.: 10.1007/978-3-319-63206-3doiSubjects--Topical Terms:

202528
Symmetry (Physics)

LC Class. No.: QC174.17.S9

Dewey Class. No.: 539.725

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245 1 0 $a Quantum symmetries $h [electronic resource] : $b Metabief, France 2014 / $c by Guillaume Aubrun, Adam Skalski, Roland Speicher ; edited by Uwe Franz.
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300 $a ix, 119 p. : $b ill. (some col.), digital ; $c 24 cm.
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505 0 $a 1 Introduction -- 2 Free Probability and Non-Commutative Symmetries -- 3 Quantum Symmetry Groups and Related Topics -- 4 Quantum Entanglement in High Dimensions -- References -- Index.
520 $a 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.
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650 2 4 $a Probability Theory and Stochastic Processes. $3 274061
650 2 4 $a Convex and Discrete Geometry. $3 277230
700 1 $a Skalski, Adam. $3 795020
700 1 $a Speicher, Roland. $3 787665
700 1 $a Franz, Uwe. $3 198970
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