Geometry of quantum states : an introduction to quantum entanglement
AUTHOR : Bengtsson, Ingemar
CALL NO : QC174.12 B466g 2018
IMPRINT : Cambridge : Cambridge University Press, c2017
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.
- A new edition, focusing on the geometry of quantum states
- Stresses the similarities and differences between classical and quantum theory
- Uses a non-technical style and numerous figures to make the book accessible to non-specialists in quantum information theory and mathematical literature
