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Quantum Computation with Topological Codes

From Qubit to Topological Fault-Tolerance

  • Keisuke¬†Fujii

Part of the SpringerBriefs in Mathematical Physics book series (BRIEFSMAPHY, volume 8)

Table of contents

  1. Front Matter
    Pages i-x
  2. Keisuke Fujii
    Pages 1-23
  3. Keisuke Fujii
    Pages 24-55
  4. Keisuke Fujii
    Pages 56-85
  5. Back Matter
    Pages 122-138

About this book

Introduction

This book presents a self-consistent review of quantum computation with topological quantum codes. The book covers everything required to understand topological fault-tolerant quantum computation, ranging from the definition of the surface code to topological quantum error correction and topological fault-tolerant operations. The underlying basic concepts and powerful tools, such as universal quantum computation, quantum algorithms, stabilizer formalism, and measurement-based quantum computation, are also introduced in a self-consistent way. The interdisciplinary fields between quantum information and other fields of physics such as condensed matter physics and statistical physics are also explored in terms of the topological quantum codes. This book thus provides the first comprehensive description of the whole picture of topological quantum codes and quantum computation with them.

Keywords

Quantum computation Quantum error correction Topological quantum codes Topological quantum computation Topologically protected fault-tolerant quantum computation

Authors and affiliations

  • Keisuke¬†Fujii
    • 1
  1. 1.Kyoto UniversityGraduate School of ScienceKyotoJapan

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-287-996-7
  • Copyright Information The Author(s) 2015
  • Publisher Name Springer, Singapore
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-981-287-995-0
  • Online ISBN 978-981-287-996-7
  • Series Print ISSN 2197-1757
  • Series Online ISSN 2197-1765
  • Buy this book on publisher's site