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Quantum Science and Technology

Quantum Error Correction

Symmetric, Asymmetric, Synchronizable, and Convolutional Codes

Authors: La Guardia, Giuliano Gadioli

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  • Offers clear, accessible explanations and a range of engaging exercises
  • Equips students to undertake novel work in the field, while honing their capacity for abstract thinking
  • Incorporates recent contributions to the field, balancing pedagogical elements with cutting-edge techniques
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About this Textbook

This text presents an algebraic approach to the construction of several important families of quantum codes derived from classical codes by applying the well-known Calderbank-Shor-Steane (CSS), Hermitian, and Steane enlargement constructions to certain classes of classical codes. In addition, the book presents families of asymmetric quantum codes with good parameters and provides a detailed description of the procedures adopted to construct families of asymmetric quantum convolutional codes.

Featuring accessible language and clear explanations, the book is suitable for use in advanced undergraduate and graduate courses as well as for self-guided study and reference. It provides an expert introduction to algebraic techniques of code construction and, because all of the constructions are performed algebraically, it enables the reader to construct families of codes, rather than only codes with specific parameters. The text offers an abundance of worked examples, exercises, and open-ended problems to motivate the reader to further investigate this rich area of inquiry. End-of-chapter summaries and a glossary of key terms allow for easy review and reference.

About the authors

Giuliano G. La Guardia received a Master's degree in pure mathematics in 1998 and a PhD in electrical engineering in 2008, both from the State University of Campinas (UNICAMP), São Paulo, Brazil. Since 1999 he has been with the Department of Mathematics and Statistics at the State University of Ponta Grossa, where he is an Associate Professor. His research areas include quantum and classical coding theory, matroid theory, category theory and dynamical systems theory.

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $69.99
price for USA in USD (gross)
  • ISBN 978-3-030-48551-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.99
price for USA in USD
  • ISBN 978-3-030-48550-4
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Quantum Error Correction
Book Subtitle
Symmetric, Asymmetric, Synchronizable, and Convolutional Codes
Authors
Series Title
Quantum Science and Technology
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-48551-1
DOI
10.1007/978-3-030-48551-1
Hardcover ISBN
978-3-030-48550-4
Series ISSN
2364-9054
Edition Number
1
Number of Pages
XIII, 227
Topics

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