Geometry of Quantum States
An Introduction to Quantum Entanglement
2nd Edition
$89.99 (P)
 Authors:
 Ingemar Bengtsson, Stockholms Universitet
 Karol Życzkowski, Uniwersytet Jagiellonski, Poland
 Publication planned for: July 2017
 availability: Not yet published  available from July 2017
 format: Hardback
 isbn: 9781107026254
$
89.99
(P)
Hardback
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Quantum information theory is a branch of science at the frontier of physics, mathematics, and information science, and offers a variety of solutions that are impossible using classical theory. This book provides a detailed introduction to the key concepts used in processing quantum information and reveals that quantum mechanics is a generalisation of classical probability theory. The second edition contains new sections and entirely new chapters: the hot topic of multipartite entanglement; indepth discussion of the discrete structures in finite dimensional Hilbert space, including unitary operator bases, mutually unbiased bases, symmetric informationally complete generalized measurements, discrete Wigner function, and unitary designs; the Gleason and Kochen–Specker theorems; the proof of the Lieb conjecture; the measure concentration phenomenon; and the Hastings' nonadditivity theorem. This richlyillustrated book will be useful to a broad audience of graduates and researchers interested in quantum information theory. Exercises follow each chapter, with hints and answers supplied.
Read more A new edition, focusing on the geometry of quantum states
 Stresses the similarities and differences between classical and quantum theory
 Uses a nontechnical style and numerous figures to make the book accessible to nonspecialists in quantum information theory and mathematical literature
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×Product details
 Edition: 2nd Edition
 Publication planned for: July 2017
 format: Hardback
 isbn: 9781107026254
 dimensions: 247 x 174 mm
 contains: 139 b/w illus. 22 tables
 availability: Not yet published  available from July 2017
Table of Contents
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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