Quantum Computation with Topological Codes

From Qubit to Topological Fault-Tolerance

Keisuke Fujii (Autor)

Buch | Softcover

138 Seiten

2015 | 1st ed. 2015
Springer Verlag, Singapore
978-981-287-995-0 (ISBN)

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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.

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.

Erscheinungsdatum	19.01.2016
Reihe/Serie	SpringerBriefs in Mathematical Physics ; 8
Zusatzinfo	113 Illustrations, color; 18 Illustrations, black and white; X, 138 p. 131 illus., 113 illus. in color.
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
ISBN-10	981-287-995-1 / 9812879951
ISBN-13	978-981-287-995-0 / 9789812879950
Zustand	Neuware