Dewey Class |
515.7 |
Title |
Quantum Symmetries ([EBook]) : Metabief, France 2014 / / by Guillaume Aubrun, Adam Skalski, Roland Speicher ; edited by Uwe Franz. |
Author |
Aubrun, Guillaume |
Added Personal Name |
Skalski, Adam author. |
Speicher, Roland author. |
Franz, Uwe editor. |
Other name(s) |
SpringerLink (Online service) |
Publication |
Cham : : Springer International Publishing : : Imprint: Springer, , 2017. |
Physical Details |
IX, 119 p. 18 illus., 3 illus. in color. : online resource. |
Series |
Lecture Notes in Mathematics 0075-8434 ; ; 2189 |
ISBN |
9783319632063 |
Summary Note |
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.: |
Contents note |
1 Introduction -- 2 Free Probability and Non-Commutative Symmetries -- 3 Quantum Symmetry Groups and Related Topics -- 4 Quantum Entanglement in High Dimensions -- References -- Index. |
System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
Internet Site |
http://dx.doi.org/10.1007/978-3-319-63206-3 |
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