UID:
almahu_9948233435102882
Umfang:
1 online resource (xv, 619 pages) :
,
digital, PDF file(s).
Ausgabe:
Second edition.
ISBN:
9781139207010 (ebook)
Inhalt:
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.
Anmerkung:
Title from publisher's bibliographic system (viewed on 30 Aug 2017).
,
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.
Weitere Ausg.:
Print version: ISBN 9781107026254
Sprache:
Englisch
URL:
https://doi.org/10.1017/9781139207010
