Quantum Computation with Topological Codes

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.

Provides a comprehensive introduction to topological quantum codes and fault-tolerant quantum computation with them Presents the most efficient way to update the progress made after NielsenChuang's textbook was published in 2000 Offers a pedagogical introduction of the interdisciplinary fields between quantum information and other fields of physics Includes supplementary material: sn.pub/extras

Inhalt
1 Introduction to quantum computation.- 2 Stabilizer formalism and its applications.- 3 Topological stabilizer codes.- 4 Topological quantum computation.- 5 Topologically protected MBQC.-A Fault-tolerant quantum computation.- B Decoding stabilizer codes.- Index.- References.