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03165aam a2200361 i 4500 001 82E8652CDDAE11EDB031D5162DECA4DB 003 SILO 005 20230418010100 008 230405s2020 enka b 001 0 eng d 020 $a 1107026253 020 $a 9781107026254 020 $a 1107656141 020 $a 9781107656147 035 $a (OCoLC)1374997481 040 $a NUI $b eng $e rda $c NUI $d SILO 050 4 $a QC174.12 $b .B453 2020 100 1 $a Bengtsson, Ingemar, $e author. 245 10 $a Geometry of quantum states : $b an introduction of quantum entanglement / $c Ingemar Bengtsson, Karol ZÌyczkowski. 250 $a Second edition, first paperback edition 2020. 264 1 $a Cambridge : $b Cambridge University Press, $c 2020. 300 $a xv, 619 pages : $b illustrations (black and white) ; $c 26 cm 530 $a Also issued online. 520 $a 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; in-depth 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' non-additivity theorem. This richly-illustrated 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. 504 $a Includes bibliographical references (pages 572-613) and index. 505 0 $a 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. -- Appendix B: Basic notions of group theory -- Appendix C: Geometry: do it yourself -- Appendix D: Hints and answers to the exercises. 650 0 $a Quantum theory. 650 0 $a Quantum entanglement. 650 7 $a Information theory. $2 fast $0 (OCoLC)fst00973149 650 7 $a Quantum theory. $2 fast $0 (OCoLC)fst01085128 700 1 $a ZÌyczkowski, Karol, $d 1960- $e author. 941 $a 1 952 $l OVUX522 $d 20231117024321.0 956 $a http://locator.silo.lib.ia.us/search.cgi?index_0=id&term_0=82E8652CDDAE11EDB031D5162DECA4DBInitiate Another SILO Locator Search