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Quantum symmetries = Metabief, Franc...

Aubrun, Guillaume.

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Quantum symmetries = Metabief, France 2014 /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Quantum symmetries/ by 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.
[NT 15003449]:	1 Introduction -- 2 Free Probability and Non-Commutative Symmetries -- 3 Quantum Symmetry Groups and Related Topics -- 4 Quantum Entanglement in High Dimensions -- References -- Index.
Contained By:	Springer eBooks
Subject:	Symmetry (Physics) - Congresses. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-63206-3
ISBN:	9783319632063

Quantum symmetries = Metabief, 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 ;2189..

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

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

661662
Symmetry (Physics)
--Congresses.

LC Class. No.: QC174.17.S9

Dewey Class. No.: 539.725

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100 1 $a Aubrun, Guillaume. $3 3264826
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.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a ix, 119 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 0075-8434 ; $v 2189
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.
650 0 $a Symmetry (Physics) $x Congresses. $3 661662
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650 1 4 $a Mathematics. $3 515831
650 2 4 $a Functional Analysis. $3 893943
650 2 4 $a Quantum Physics. $3 893952
650 2 4 $a Probability Theory and Stochastic Processes. $3 891080
650 2 4 $a Convex and Discrete Geometry. $3 893686
700 1 $a Skalski, Adam. $3 3264827
700 1 $a Speicher, Roland. $3 3264828
700 1 $a Franz, Uwe. $3 752619
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