© 2015

Quantum Computation with Topological Codes

From Qubit to Topological Fault-Tolerance


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


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.


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

Authors and affiliations

  1. 1.Kyoto UniversityGraduate School of ScienceKyotoJapan

Bibliographic information


“The work provides a good reference for quantum computation and quantum information courses, allowing for students to become familiar with major points on the quantum information theoretical aspects of topological quantum computation and the advantages of topological quantum computation for quantum noise resistance. The book is also of interest to anyone doing research on quantum computation, quantum information and quantum error correction.” (Carlos Pedro Gonçalves, zbMATH 1339.81005, 2016)