Geometry of quantum states : an introduction to quantum entanglement [E-Book] / Ingemar Bengtsson, Karol Życzkowski.
Bengtsson, Ingemar, (author)
Życzkowski, Karol, (author)
Second edition.
Cambridge : Cambridge University Press, 2017
1 online resource (xv, 619 pages)
englisch
9781107656147
9781139207010
9781107026254
Full Text
Table of Contents:
  • 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.