Geometry Of Quantum States

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...