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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. Distingguishability measures
15. Monotone metrics and measures
16. Quantum entanglement
17. Multipartite entanglement
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Ingemar Bengtsson is Professor of Physics at Stockholm University. After gaining a Ph.D. in Theoretical Physics from the University of G teborg (1984), she held post-doctoral positions at CERN, Geneva, and Imperial College, London. She returned to G teborg in 1988 as a research assistant at Chalmers University of Technnology, before taking up a position as Lecturer in Physics at Stockholm University in 1993. She was appointed Professor of Physics in 2000. Professor Bengtsson is a member of the Swedish Physical Society and a former board member of its Divisions for Particle Physics and for Grav
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