Quantum Error Correction

doi:10.1017/CBO9781139034807

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Edited by Daniel A. Lidar, University of Southern California, Todd A. Brun, University of Southern California

Publisher:: Cambridge University Press
Online publication date:: September 2013
Print publication year:: 2013
Online ISBN:: 9781139034807
DOI:: https://doi.org/10.1017/CBO9781139034807

Subjects:: Communications and Signal Processing, Physics and Astronomy, Engineering, Quantum Physics, Quantum Information and Quantum Computation

101.00 (GBP)

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Quantum computation and information is one of the most exciting developments in science and technology of the last twenty years. To achieve large scale quantum computers and communication networks it is essential not only to overcome noise in stored quantum information, but also in general faulty quantum operations. Scalable quantum computers require a far-reaching theory of fault-tolerant quantum computation. This comprehensive text, written by leading experts in the field, focuses on quantum error correction and thoroughly covers the theory as well as experimental and practical issues. The book is not limited to a single approach, but reviews many different methods to control quantum errors, including topological codes, dynamical decoupling and decoherence-free subspaces. Basic subjects as well as advanced theory and a survey of topics from cutting-edge research make this book invaluable both as a pedagogical introduction at the graduate level and as a reference for experts in quantum information science.

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Quantum Error Correction

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

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Contents

Frontmatter
pp i-iv

Contents
pp v-x

List of contributors
pp xi-xiv

Prologue
pp xv-xviii

Preface and guide to the reader
pp xix-xx

Acknowledgements
pp xxi-xxii

Part I - Background
pp 1-2

1 - Introduction to decoherence and noise in open quantum systems
pp 3-45

2 - Introduction to quantum error correction
pp 46-77

3 - Introduction to decoherence-free subspaces and noiseless subsystems
pp 78-104

4 - Introduction to quantum dynamical decoupling
pp 105-125

5 - Introduction to quantum fault tolerance
pp 126-160

Part II - Generalized approaches to quantum error correction
pp 161-162

6 - Operator quantum error correction
pp 163-180

7 - Entanglement-assisted quantum error-correcting codes
pp 181-200

8 - Continuous-time quantum error correction
pp 201-228

Part III - Advanced quantum codes
pp 229-230

9 - Quantum convolutional codes
pp 231-260

10 - Nonadditive quantum codes
pp 261-278

11 - Iterative quantum coding systems
pp 279-306

12 - Algebraic quantum coding theory
pp 307-326

13 - Optimization-based quantum error correction
pp 327-348

Part IV - Advanced dynamical decoupling
pp 349-350

14 - High-order dynamical decoupling
pp 351-375

15 - Combinatorial approaches to dynamical decoupling
pp 376-394

Part V - Alternative quantum computation approaches
pp 395-396

16 - Holonomic quantum computation
pp 397-411

17 - Fault tolerance for holonomic quantum computation
pp 412-431

18 - Fault-tolerant measurement-based quantum computing
pp 432-452

Part VI - Topological methods
pp 453-454

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Quantum Error Correction

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