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An introduction to the formalism of quantum information with continuous variables
Title statement An introduction to the formalism of quantum information with continuous variables / Carlos Navarrete-Benlloch. [elektronický zdroj] Publication San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, [2015] Distribution Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2015] Phys.des. 1 online resource (various pagings) : illustrations (some color). ISBN 9781681744056 (online) 9781681744070 mobi Edition [IOP release 2] IOP concise physics, ISSN 2053-2571 Note "Version: 20151201"--Title page verso. "A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso. Internal Bibliographies/Indexes Note Includes bibliographical references. Contents Preface -- 1. Quantum-mechanical description of physical systems -- 1.1. Classical mechanics -- 1.2. The mathematical language of quantum mechanics -- 1.3. The quantum-mechanical framework Content note 2. Bipartite systems and entanglement -- 2.1. Entangled states -- 2.2. Characterizing and quantifying entanglement -- 2.3. Schmidt decomposition and purifications. 3. Quantum operations -- 3.1. Basic principles of quantum operations -- 3.2. Generalized measurements and positive operator-valued measures -- 3.3. Local operations and classical communication protocols -- 3.4. Majorization in quantum mechanics. 4. Quantum information with continuous variables -- 4.1. The classical harmonic oscillator -- 4.2. The quantum harmonic oscillator -- 4.3. The harmonic oscillator in phase space : the Wigner function -- 4.4. Gaussian continuous-variable systems -- 4.5. Measuring continuous-variable systems -- 4.6. Non-Gaussian scenarios : photon addition, subtraction, and majorization properties of two-mode squeezed states. Notes to Availability Přístup pouze pro oprávněné uživatele Audience Trade - History of science. Note Způsob přístupu: World Wide Web.. Požadavky na systém: Adobe Acrobat Reader. Another responsib. Morgan & Claypool Publishers, Institute of Physics (Great Britain), Subj. Headings Quantum computers. * SCIENCE / Physics / General. * Physics. Form, Genre elektronické knihy electronic books Country Kalifornie Language angličtina Document kind Electronic books URL Plný text pro studenty a zaměstnance UPOL 
book
Quantum information is an emerging field which has attracted a lot of attention in the last couple of decades. It is a broad subject which extends from the most applied questions (e.g. how to build quantum computers or secure cryptographic systems) to the most theoretical problems concerning the formalism and interpretation of quantum mechanics, its complexity, and its potential to go beyond classical physics. This book is an introduction to quantum information with special emphasis on continuous-variable systems (such as light) which can be described as collections of harmonic oscillators. It covers a selection of basic concepts, focusing on their physical meaning and mathematical treatment. It starts from the very first principles of quantum mechanics, and builds up the concepts and techniques following a logical progression. This is an excellent reference for students with a full semester of standard quantum mechanics and researchers in closely related fields.
Preface -- 1. Quantum-mechanical description of physical systems -- 1.1. Classical mechanics -- 1.2. The mathematical language of quantum mechanics -- 1.3. The quantum-mechanical framework2. Bipartite systems and entanglement -- 2.1. Entangled states -- 2.2. Characterizing and quantifying entanglement -- 2.3. Schmidt decomposition and purifications3. Quantum operations -- 3.1. Basic principles of quantum operations -- 3.2. Generalized measurements and positive operator-valued measures -- 3.3. Local operations and classical communication protocols -- 3.4. Majorization in quantum mechanics4. Quantum information with continuous variables -- 4.1. The classical harmonic oscillator -- 4.2. The quantum harmonic oscillator -- 4.3. The harmonic oscillator in phase space : the Wigner function -- 4.4. Gaussian continuous-variable systems -- 4.5. Measuring continuous-variable systems -- 4.6. Non-Gaussian scenarios : photon addition, subtraction, and majorization properties of two-mode squeezed states.
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