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Geometry of Quantum States
monograph
Author(s):
Ingemar Bengtsson
,
Karol Zyczkowski
Publication date
(Online):
2009
Publisher:
Cambridge University Press
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Book
ISBN (Electronic):
9780511535048
ISBN (Print):
9780521814515
ISBN (Print):
9780521891400
Publication date (Print):
2006
Publication date (Online):
2009
DOI:
10.1017/CBO9780511535048
SO-VID:
cea956ca-92cc-4759-9ff3-d13dc2d6436f
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Book chapters
pp. ix
Preface
pp. 1
Convexity, colours and statistics
pp. 28
Geometry of probability distributions
pp. 62
Much ado about spheres
pp. 102
Complex projective spaces
pp. 135
Outline of quantum mechanics
pp. 156
Coherent states and group actions
pp. 182
The stellar representation
pp. 209
The space of density matrices
pp. 233
Purification of mixed quantum states
pp. 251
Quantum operations
pp. 281
Duality: maps versus states
pp. 297
Density matrices and entropies
pp. 323
Distinguishability measures
pp. 339
Monotone metrics and measures
pp. 363
Quantum entanglement
pp. 415
Epilogue
pp. 417
Basic notions of differential geometry
pp. 421
Basic notions of group theory
pp. 424
Geometry: do it yourself
pp. 428
Hints and answers to the exercises
pp. 437
References
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