Quantum Symmetries

Metabief, France 2014

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Science, Physics, Quantum Theory
Cover of the book Quantum Symmetries by Guillaume Aubrun, Adam Skalski, Roland Speicher, Springer International Publishing
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Author: Guillaume Aubrun, Adam Skalski, Roland Speicher ISBN: 9783319632063
Publisher: Springer International Publishing Publication: October 11, 2017
Imprint: Springer Language: English
Author: Guillaume Aubrun, Adam Skalski, Roland Speicher
ISBN: 9783319632063
Publisher: Springer International Publishing
Publication: October 11, 2017
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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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