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Ivan B. Djordjevic - Quantum Information Processing, Quantum Computing, and Quantum Error Correction: An Engineering Approach

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The Second Edition of Quantum Information Processing, Quantum Computing, and Quantum Error Correction: An Engineering Approach presents a self-contained introduction to all aspects of the area, teaching the essentials such as state vectors, operators, density operators, measurements, and dynamics of a quantum system. In additional to the fundamental principles of quantum computation, basic quantum gates, basic quantum algorithms, and quantum information processing, this edition has been brought fully up to date, outlining the latest research trends. These include:

Key topics include:

  • Quantum error correction codes (QECCs), including stabilizer codes, Calderbank-Shor-Steane (CSS) codes, quantum low-density parity-check (LDPC) codes, entanglement-assisted QECCs, topological codes, and surface codes
  • Quantum information theory, and quantum key distribution (QKD)
  • Fault-tolerant information processing and fault-tolerant quantum error correction, together with a chapter on quantum machine learning. Both quantum circuits- and measurement-based quantum computational models are described
  • The next part of the book is spent investigating physical realizations of quantum computers, encoders and decoders; including photonic quantum realization, cavity quantum electrodynamics, and ion traps
  • In-depth analysis of the design and realization of a quantum information processing and quantum error correction circuits

This fully up-to-date new edition will be of use to engineers, computer scientists, optical engineers, physicists and mathematicians.

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Table of Contents
List of Figures
  1. Figures in Chapter 1
  2. Figures in Chapter 2
  3. Figures in Chapter 3
  4. Figures in Chapter 4
  5. Figures in Chapter 5
  6. Figures in Chapter 6
  7. Figures in Chapter 7
  8. Figures in Chapter 8
  9. Figures in Chapter 9
  10. Figures in Chapter 10
  11. Figures in Chapter 11
  12. Figures in Chapter 12
  13. Figures in Chapter 13
  14. Figures in Chapter 14
  15. Figures in Chapter 15
List of Tables
  1. Tables in Chapter 1
  2. Tables in Chapter 2
  3. Tables in Chapter 6
  4. Tables in Chapter 8
  5. Tables in Chapter 9
  6. Tables in Chapter 10
  7. Tables in Chapter 15
Landmarks
Quantum Information Processing Quantum Computing and Quantum Error Correction - photo 1
Quantum Information Processing, Quantum Computing, and Quantum Error Correction
An Engineering Approach
Second Edition
Ivan B. Djordjevic
Table of Contents Copyright Academic Press is an imprint of Elsevier 125 London - photo 2
Table of Contents
Copyright
Academic Press is an imprint of Elsevier
125 London Wall, London EC2Y 5AS, United Kingdom
525 B Street, Suite 1650, San Diego, CA 92101, United States
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Copyright 2021 Elsevier Inc. All rights reserved.
No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording, or any information storage and retrieval system, without permission in writing from the publisher. Details on how to seek permission, further information about the Publishers permissions policies and our arrangements with organizations such as the Copyright Clearance Center and the Copyright Licensing Agency, can be found at our website: www.elsevier.com/permissions.
This book and the individual contributions contained in it are protected under copyright by the Publisher (other than as may be noted herein).
Notices
Knowledge and best practice in this field are constantly changing. As new research and experience broaden our understanding, changes in research methods, professional practices, or medical treatment may become necessary.
Practitioners and researchers must always rely on their own experience and knowledge in evaluating and using any information, methods, compounds, or experiments described herein. In using such information or methods they should be mindful of their own safety and the safety of others, including parties for whom they have a professional responsibility.
To the fullest extent of the law, neither the Publisher nor the authors, contributors, or editors, assume any liability for any injury and/or damage to persons or property as a matter of products liability, negligence or otherwise, or from any use or operation of any methods, products, instructions, or ideas contained in the material herein.
Library of Congress Cataloging-in-Publication Data
A catalog record for this book is available from the Library of Congress
British Library Cataloguing-in-Publication Data
A catalogue record for this book is available from the British Library
ISBN: 978-0-12-821982-9
For information on all Academic Press publications visit our website at https://www.elsevier.com/books-and-journals
Publisher: Mara Conner
Acquisitions Editor: Tim Pitts
Editorial Project Manager: Rachel Pomery
Production Project Manager: Prem Kumar Kaliamoorthi
Cover Designer: Greg Harris
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Dedication To Milena Preface Quantum information is related to the use of - photo 3

Dedication

To Milena

Preface
Quantum information is related to the use of quantum mechanics concepts to perform information processing and transmission of information. Quantum information processing (QIP) is an exciting research area with numerous applications, including quantum key distribution (QKD), quantum teleportation, quantum computing, quantum lithography, and quantum memories. This area currently experiences rapid development, which can be judged from the number of published books on QIP and the number of conferences devoted solely to QIP concepts. Given the novelty of underlying QIP concepts, it is expected that this topic will be a subject of interest to a broad range of scientists, not just of those involved in QIP research. Moreover, based on Moore's law, which claims that the number of chips that can be etched on a single chip doubles every 18 months, leading to the doubling of both memory and computational speed, the ever-increasing demands in miniaturization of electronics will eventually lead us to the point where quantum effects become important. Given this fact, it seems that a much broader range of scientists will be forced to turn to the study of QIP much sooner than expected. Note that, on the other hand, as multicore architecture is becoming a prevailing high-performance chip design approach, improvement in computational speed can be achieved even without reducing the feature size through parallelization. Therefore thanks to multicore processor architectures, the need for QIP might be prolonged for a certain amount of time. Another point might be that, despite intensive development of quantum algorithms, the number of available quantum algorithms is still small compared to that of classical algorithms. Furthermore, current quantum gates can operate only on several tens of quantum bits (also known as qubits), which is too low for any meaningful quantum computation operation. Until recently, it was widely believed that quantum computation would never become a reality. However, recent advances in various quantum circuits implementations, as well as the proof of accuracy threshold theorem, have given rise to the optimism that quantum computers might soon become a reality.
Because of the interdisciplinary nature of the fields of QIP, quantum computing, and quantum error correction, this book aims to provide the right balance between quantum mechanics, quantum error correction, quantum computing, and quantum communication. This book has the following objectives:
  • 1. It describes the trends in QIP, quantum error correction, and quantum computing.
  • 2. It represents a self-contained introduction to QIP, quantum computing, and quantum error correction.
  • 3. It targets a very wide range of readers: electrical engineers, optical engineers, applied mathematicians, computer scientists, and physicists.
  • 5. It does not require any background knowledge, except for understanding the basic concepts of vector algebra at an undergraduate level. An appendix is provided with basic descriptions of abstract algebra at a level sufficient to follow the book easily.
  • 6. It offers in-depth exposition on the design and realization of QIP and quantum error correction circuits.
  • provides basic concepts and definitions from coding theory. Only the concepts from coding theory of importance in quantum error correction are covered in this chapter.
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