The second edition of a book that has become a standard reference for researchers working on geometric aspects of quantum entanglement and quantum theory of information. Its comprehensive style makes it suitable for students of physics, information science, and mathematics wishing to learn more about quantum mechanics and quantum entanglement.
The second edition of a book that has become a standard reference for researchers working on geometric aspects of quantum entanglement and quantum theory of information. Its comprehensive style makes it suitable for students of physics, information science, and mathematics wishing to learn more about quantum mechanics and quantum entanglement.
Ingemar Bengtsson is a professor of physics at Stockholms Universitet. After gaining a Ph.D. in Theoretical Physics from the Göteborgs universitet (1984), he held post-doctoral positions at CERN, Geneva, and the Imperial College of Science, Technology and Medicine, University of London. He returned to Göteborg in 1988 as a research assistant at Chalmers tekniska högskola, before taking up a position as Lecturer in Physics at Stockholms Universitet in 1993. He 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 Gravitation. His research interests are related to geometry, in the forms of classical general relativity and quantum theory.
Inhaltsangabe
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.
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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