Geometry of quantum states: an introduction to quantum entanglement by Ingemar Bengtsson and Karol Zyczkowski

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. Density matrices and entropies 13. Distinguishability measures 14. Monotone metrics and measures 15. Quantum entanglement Epilogue Appendices References Index.

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