Quantum Error Correction

doi:10.1017/CBO9781139034807

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.

- Aa Reduce text
- Aa Enlarge text

View selected items
Save to my bookmarks
Export citations
Download PDF (zip)
Save to Kindle
Save to Dropbox
Save to Google Drive
Save content to
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to .

To save content items to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Please be advised that item(s) you selected are not available.
You are about to save
Your Kindle email address

Please provide your Kindle email.

@free.kindle.com @kindle.com (service fees apply)

By using this service, you agree that you will only keep content for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services

Page 1 of 2

First
« Prev
1
2
Next »
Last

Contents

Frontmatter
pp i-iv
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Contents
pp v-x
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

List of contributors
pp xi-xiv
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Prologue
pp xv-xviii
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Preface and guide to the reader
pp xix-xx
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Acknowledgements
pp xxi-xxii
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Part I - Background
pp 1-2
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

1 - Introduction to decoherence and noise in open quantum systems
pp 3-45
- By Daniel A. Lidar, University of Southern California, Todd A. Brun, University of Southern California
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

2 - Introduction to quantum error correction
pp 46-77
- By Dave Bacon, University of Washington
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

3 - Introduction to decoherence-free subspaces and noiseless subsystems
pp 78-104
- By Daniel A. Lidar, University of Southern California
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

4 - Introduction to quantum dynamical decoupling
pp 105-125
- By Lorenza Viola, Dartmouth College
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

5 - Introduction to quantum fault tolerance
pp 126-160
- By Panos Aliferis, 23 rue de l'Université
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Part II - Generalized approaches to quantum error correction
pp 161-162
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

6 - Operator quantum error correction
pp 163-180
- By David Kribs, University of Guelph, David Poulin, Université de Sherbrooke
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

7 - Entanglement-assisted quantum error-correcting codes
pp 181-200
- By Todd A. Brun, University of Southern California, Min-Hsiu Hsieh, University of Technology
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

8 - Continuous-time quantum error correction
pp 201-228
- By Ognyan Oreshkov, Université Libre de Bruxelles
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Part III - Advanced quantum codes
pp 229-230
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

9 - Quantum convolutional codes
pp 231-260
- By Mark Wilde, Louisiana State University
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

10 - Nonadditive quantum codes
pp 261-278
- By Markus Grassl, National University of Singapore, Martin Rötteler, NEC Laboratories America, Inc.
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

11 - Iterative quantum coding systems
pp 279-306
- By David Poulin, Université de Sherbrooke
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

12 - Algebraic quantum coding theory
pp 307-326
- By Andreas Klappenecker, Texas A&M University
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

13 - Optimization-based quantum error correction
pp 327-348
- By Andrew Fletcher, MIT Lincoln Laboratory
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Part IV - Advanced dynamical decoupling
pp 349-350
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

14 - High-order dynamical decoupling
pp 351-375
- By Zhen-Yu Wang, The Chinese University of Hong Kong, Ren-Bao Liu, The Chinese University of Hong Kong
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

15 - Combinatorial approaches to dynamical decoupling
pp 376-394
- By Martin Rötteler, NEC Laboratories America, Inc., Pawel Wocjan, University of Central Florida
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Part V - Alternative quantum computation approaches
pp 395-396
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

16 - Holonomic quantum computation
pp 397-411
- By Paolo Zanardi, University of Southern California
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

17 - Fault tolerance for holonomic quantum computation
pp 412-431
- By Ognyan Oreshkov, Université Libre de Bruxelles, Todd A. Brun, University of Southern California, Daniel A. Lidar, University of Southern California
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

18 - Fault-tolerant measurement-based quantum computing
pp 432-452
- By Debbie Leung, University of Waterloo
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Part VI - Topological methods
pp 453-454
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Page 1 of 2

First
« Prev
1
2
Next »
Last

Metrics

Altmetric attention score

Total number of HTML views: 0

Total number of PDF views: 0 *

Loading metrics...

Total views: 0 *

Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.

Why this information is here

This section outlines the accessibility features of this content - including support for screen readers, full keyboard navigation and high-contrast display options. This may not be relevant for you.

Accessibility Information

Accessibility compliance for the PDF of this book is currently unknown and may be updated in the future.

Quantum Error Correction

Book description

Refine List

Actions for selected content:

Save Search

Contents

Metrics

Altmetric attention score

Full text views

Book summary page views

Accessibility standard: Unknown

Why this information is here

Accessibility Information