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Catalogue Information
Field name	Details
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
Links to Related Works	Subject References: Convex and Discrete Geometry . Convex geometry . Discrete geometry . Functional Analysis . Mathematics . Probabilities . Probability theory and stochastic processes . Quantum Physics . Authors: Aubrun, Guillaume . Franz, Uwe . Skalski, Adam . Speicher, Roland . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 515.7 .

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Quantum Symmetries: Metabief, France 2014

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