书目名称 | Quantum Symmetries | 副标题 | Metabief, France 201 | 编辑 | Guillaume Aubrun,Adam Skalski,Roland Speicher,Uwe | 视频video | | 概述 | Gives an accessible introduction to current research.Provides a common point of view on several interconnected, but originally independently developed areas of mathematics.Open problems suggest direct | 丛书名称 | Lecture Notes in Mathematics | 图书封面 |  | 描述 | .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 ofBanach spaces to quantum information. The latter applications will also be of interest to theoretical and mathematical physicists working in quantum theory.. | 出版日期 | Book 2017 | 关键词 | Freeness; Compact Quantum Group; De Finetti Theorem; Quantum Symmetry Group; Quantum Isometry Group; Enta | 版次 | 1 | doi | https://doi.org/10.1007/978-3-319-63206-3 | isbn_softcover | 978-3-319-63205-6 | isbn_ebook | 978-3-319-63206-3Series ISSN 0075-8434 Series E-ISSN 1617-9692 | issn_series | 0075-8434 | copyright | Springer International Publishing AG 2017 |
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