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Geometry of quantum states: an introduction to quantum entanglement

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...

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Detalles Bibliográficos
Autores principales: Bengtsson, Ingemar, Życzkowski, Karol
Lenguaje:eng
Publicado: Cambridge University Press 2017
Materias:
Acceso en línea:https://dx.doi.org/10.1017/9781139207010
http://cds.cern.ch/record/2267424
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author Bengtsson, Ingemar
Życzkowski, Karol
author_facet Bengtsson, Ingemar
Życzkowski, Karol
author_sort Bengtsson, Ingemar
collection CERN
description 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.
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spelling cern-22674242021-04-21T19:12:05Zdoi:10.1017/9781139207010http://cds.cern.ch/record/2267424engBengtsson, IngemarŻyczkowski, KarolGeometry of quantum states: an introduction to quantum entanglementGeneral Theoretical PhysicsQuantum 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.Cambridge University Pressoai:cds.cern.ch:22674242017-07-31
spellingShingle General Theoretical Physics
Bengtsson, Ingemar
Życzkowski, Karol
Geometry of quantum states: an introduction to quantum entanglement
title Geometry of quantum states: an introduction to quantum entanglement
title_full Geometry of quantum states: an introduction to quantum entanglement
title_fullStr Geometry of quantum states: an introduction to quantum entanglement
title_full_unstemmed Geometry of quantum states: an introduction to quantum entanglement
title_short Geometry of quantum states: an introduction to quantum entanglement
title_sort geometry of quantum states: an introduction to quantum entanglement
topic General Theoretical Physics
url https://dx.doi.org/10.1017/9781139207010
http://cds.cern.ch/record/2267424
work_keys_str_mv AT bengtssoningemar geometryofquantumstatesanintroductiontoquantumentanglement
AT zyczkowskikarol geometryofquantumstatesanintroductiontoquantumentanglement