Geometry of quantum states an introduction to quantum entanglement

Convexity, colours and statistics -- Geometry of probability distributions -- Much ado about spheres -- Complex projective spaces -- Outline of quantum mechanics -- Coherent states and group actions -- The stellar representation -- The space of density matrices -- Purification of mixed quantum states -- Quantum operations -- Duality : maps versus states -- Discrete structures in hilbert space -- Density matrices and entropies -- Distinguishability measures -- Monotone metrics and measures -- Quantum entanglement -- Multipartite entanglement -- Appendix A : basic notions of differential geometry  Read more...