Geometry of Quantum States an Introduction to Quantum Entanglement

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Author(s): Ingemar Bengtsson, Karol Życzkowski
Edition: 2nd
Publisher: Cambridge University Press
Year: 2017

Language: English
Pages: 0
City: Cambridge
Tags: Quantum theory;Quantum entanglement;Quantum entanglement;Quantum theory

Preface
1. Convexity, colours, and statistics
2. Geometry of probability distributions
3. Much ado about spheres
4. Complex projective spaces
5. Outline of quantum mechanics
6. Coherent states and group actions
7. The stellar representation
8. The space of density matrices
9. Purification of mixed quantum states
10. Quantum operations
11. Duality: maps versus states
12. Discrete structures in Hilbert space
13. Density matrices and entropies
14. Distinguishability measures
15. Monotone metrics and measures
16. Quantum entanglement
17. Multipartite entanglement
Appendix 1. Basic notions of differential geometry
Appendix 2. Basic notions of group theory
Appendix 3. Geometry - do it yourself
Appendix 4. Hints and answers to the exercises
Bibliography
Index.