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Quantum information theory is a branch of science at the frontiers 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 generalised measurements, discrete Wigner functions and unitary designs ; the Gleason and Kochen-Specker theorems ; the proof of the Lieb contecture ; 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.