Linear Dynamical Quantum Systems Analysis, Synthesis, and Control
This monograph provides an in-depth treatment of the class of linear-dynamical quantum systems. The monograph presents a detailed account of the mathematical modeling of these systems using linear algebra and quantum stochastic calculus as the main tools
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Hendra I. Nurdin Naoki Yamamoto
Linear Dynamical Quantum Systems Analysis, Synthesis, and Control
Communications and Control Engineering Series editors Alberto Isidori, Roma, Italy Jan H. van Schuppen, Amsterdam, The Netherlands Eduardo D. Sontag, Piscataway, USA Miroslav Krstic, La Jolla, USA
More information about this series at http://www.springer.com/series/61
Hendra I. Nurdin Naoki Yamamoto •
Linear Dynamical Quantum Systems Analysis, Synthesis, and Control
123
Hendra I. Nurdin School of Electrical Engineering and Telecommunications UNSW Australia Sydney, NSW Australia
Naoki Yamamoto Department of Applied Physics and Physico-Informatics Keio University Yokohama Japan
ISSN 0178-5354 ISSN 2197-7119 (electronic) Communications and Control Engineering ISBN 978-3-319-55199-9 ISBN 978-3-319-55201-9 (eBook) DOI 10.1007/978-3-319-55201-9 Library of Congress Control Number: 2017934052 MATLAB® is a registered trademark of The MathWorks, Inc., 3 Apple Hill Drive, Natick, MA 01760-2098, USA, http://www.mathworks.com. © Springer International Publishing AG 2017 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface
The main theme of this research monograph is modeling and control of a special class of open quantum systems that shall be referred to as linear dynamical quantum systems. They are also referred to in the literature as linear quantum stochastic systems with the qualifier “stochastic” added because these systems are coupled to and driven by quantum stochastic processes (i.e., “quantum noise”). For brevity, we will often refer to them simply as linear quantum systems. Such systems are frequently encountered in fields such as linear
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