(Ebook) Geometry of Quantum States: An Introduction to Quantum Entanglement by Ingemar Bengtsson, Karol Życzkowski ISBN 9781107026254, 9781107656147, 9781139207010, 1107026253, 1107656141, 1139207016

(Ebook) Geometry of Quantum States: An Introduction to Quantum Entanglement by Ingemar Bengtsson, Karol Życzkowski ISBN 9781107026254, 9781107656147, 9781139207010, 1107026253, 1107656141, 1139207016

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