Quantum Error Correction and Fault Tolerant Quantum Computing

Frank Gaitan

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February 7, 2008 by CRC Press
Textbook - 312 Pages - 24 B/W Illustrations
ISBN 9780849371998 - CAT# 7199

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Features

  • Provides a careful explanation of quantum error correction and the accuracy threshold theorem
  • Demonstrates how to construct the most important class of codes: quantum stabilizer codes
  • Explains how fault-tolerant quantum operations can be implemented on encoded quantum information
  • Includes an explanation of how accuracy threshold theorem is proved for particular noise models

Summary

It was once widely believed that quantum computation would never become a reality. However, the discovery of quantum error correction and the proof of the accuracy threshold theorem nearly ten years ago gave rise to extensive development and research aimed at creating a working, scalable quantum computer. Over a decade has passed since this monumental accomplishment yet no book-length pedagogical presentation of this important theory exists.

Quantum Error Correction and Fault Tolerant Quantum Computing offers the first full-length exposition on the realization of a theory once thought impossible. It provides in-depth coverage on the most important class of codes discovered to date—quantum stabilizer codes. It brings together the central themes of quantum error correction and fault-tolerant procedures to prove the accuracy threshold theorem for a particular noise error model. The author also includes a derivation of well-known bounds on the parameters of quantum error correcting code.

Packed with over 40 real-world problems, 35 field exercises, and 17 worked-out examples, this book is the essential resource for any researcher interested in entering the quantum field as well as for those who want to understand how the unexpected realization of quantum computing is possible.

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