Quantum Computation with Topological Codes: From Qubit to Topological Fault-Tolerance

✍ Scribed by Keisuke Fujii

• Publisher: Springer
• Year: 2015
• Tongue: English
• Leaves: 148
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-x
Introduction to Quantum Computation....Pages 1-23
Stabilizer Formalism and Its Applications....Pages 24-55
Topological Stabilizer Codes....Pages 56-85
Topological Quantum Computation with Surface Codes....Pages 86-106
Topologically Protected Measurement-Based Quantum Computation....Pages 107-121
Back Matter....Pages 122-138

✦ Subjects

Mathematical Physics; Quantum Computing; Quantum Information Technology, Spintronics