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Linear Dynamical Quantum Systems

Analysis, Synthesis, and Control

  • Hendra I Nurdin
  • Naoki Yamamoto

Part of the Communications and Control Engineering book series (CCE)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Hendra I. Nurdin, Naoki Yamamoto
    Pages 1-33
  3. Hendra I. Nurdin, Naoki Yamamoto
    Pages 35-71
  4. Hendra I. Nurdin, Naoki Yamamoto
    Pages 73-122
  5. Hendra I. Nurdin, Naoki Yamamoto
    Pages 123-151
  6. Hendra I. Nurdin, Naoki Yamamoto
    Pages 153-202
  7. Hendra I. Nurdin, Naoki Yamamoto
    Pages 203-257
  8. Back Matter
    Pages 259-262

About this book

Introduction

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 for a treatment that emphasizes a system-theoretic point of view and the control-theoretic formulations of quantum versions of familiar problems from the classical (non-quantum) setting, including estimation and filtering, realization theory, and feedback control. Both measurement-based feedback control (i.e., feedback control by a classical system involving a continuous-time measurement process) and coherent feedback control (i.e., feedback control by another quantum system without the intervention of any measurements in the feedback loop) are treated.  

Researchers and graduates studying systems and control theory, quantum probability and stochastics or stochastic control whether from backgrounds in mechanical or electrical engineering or applied mathematics will find this book to be a valuable treatment of the control of an important class of quantum systems. The material presented here will also interest physicists working in optics, quantum optics, quantum information theory and other quantum-physical disciplines.

Keywords

Linear Quantum Dynamics Linear Quantum Systems Quantum Feedback Control Quantum Filtering Quantum Information Systems Quantum Metrology Quantum Network Synthesis Quantum Optical Systems Quantum Optimal Control Quantum Stochastic Systems

Authors and affiliations

  • Hendra I Nurdin
    • 1
  • Naoki Yamamoto
    • 2
  1. 1.School of Electrical Engineering and TelecommunicationsUNSW AustraliaSydneyAustralia
  2. 2.Department of Applied Physics and Physico-InformaticsKeio UniversityYokohamaJapan

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-55201-9
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-55199-9
  • Online ISBN 978-3-319-55201-9
  • Series Print ISSN 0178-5354
  • Series Online ISSN 2197-7119
  • Buy this book on publisher's site
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