Geometry of Quantum States an Introduction to Quantum Entanglement
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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.
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