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Geometry of Quantum States
Monotone metrics and measures
monograph
Author(s):
Ingemar Bengtsson
,
Karol Zyczkowski
Publication date
(Online):
2017
Publisher:
Cambridge University Press
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Book Chapter
Pages
: 402-432
DOI:
10.1017/9781139207010.016
SO-VID:
5273198b-e19f-4580-b135-506274f4fd62
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Book chapters
pp. xi
Preface
pp. 1
Convexity, colours and statistics
pp. 29
Geometry of probability distributions
pp. 63
Much ado about spheres
pp. 103
Complex projective spaces
pp. 138
Outline of quantum mechanics
pp. 165
Coherent states and group actions
pp. 191
The stellar representation
pp. 219
The space of density matrices
pp. 249
Purification of mixed quantum states
pp. 267
Quantum operations
pp. 296
Duality: maps versus states
pp. 313
Discrete structures in Hilbert space
pp. 355
Density matrices and entropies
pp. 386
Distinguishability measures
pp. 402
Monotone metrics and measures
pp. 433
Quantum entanglement
pp. 493
Multipartite entanglement
pp. 544
Epilogue
pp. 545
Basic notions of differential geometry
pp. 549
Basic notions of group theory
pp. 553
Geometry: do it yourself
pp. 557
Hints and answers to the exercises
pp. 572
References
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