Buch, Englisch, Band 2189, 119 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 2117 g
Reihe: Lecture Notes in Mathematics
Metabief, France 2014
Buch, Englisch, Band 2189, 119 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 2117 g
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-319-63205-6
Verlag: Springer
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
- Mathematik | Informatik Mathematik Geometrie
- Mathematik | Informatik Mathematik Stochastik Stochastische Prozesse
- Naturwissenschaften Physik Quantenphysik
- Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
Weitere Infos & Material
1 Introduction.- 2 Free Probability and Non-Commutative Symmetries.- 3 Quantum Symmetry Groups and Related Topics.- 4 Quantum Entanglement in High Dimensions.- References.- Index.
