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Introduction to topological quantum computation

by Pachos, Jiannis K.
Material type: materialTypeLabelBookPublisher: Cambridge: Cambridge University Press, 2012Description: x, 206 pages ; 26 cm.ISBN: 9781107005044 (Hb).Subject(s): Quantum theory -- Data processing | Topology | SCIENCE / Quantum TheoryDDC classification: 530.1201514 P11I Online resources: Cover image | Contributor biographical information | Publisher description | Table of contents only
Contents:
Machine generated contents note: Part I. Preliminaries: 1. Introduction; 2. Geometric and topological phases; 3. Quantum computation; 4. Computational power of anyons; Part II. Topological Models: 5. Quantum double models; 6. Kitaev's honeycomb lattice model; 7. Chern-Simons quantum field theories; Part III. Quantum Information Perspectives: 8. The Jones polynomial algorithm; 9. Topological entanglement entropy; 10. Outlook; Index.
Summary: "Combining physics, mathematics and computer science, topological quantum computation is a rapidly expanding research area focused on the exploration of quantum evolutions that are immune to errors. In this book, the author presents a variety of different topics developed together for the first time, forming an excellent introduction to topological quantum computation. The makings of anyonic systems, their properties and their computational power are presented in a pedagogical way. Relevant calculations are fully explained, and numerous worked examples and exercises support and aid understanding. Special emphasis is given to the motivation and physical intuition behind every mathematical concept. Demystifying difficult topics by using accessible language, this book has broad appeal and is ideal for graduate students and researchers from various disciplines who want to get into this new and exciting research field"--
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Reference Section
Reference 530.1201514 P11I (Browse shelf) Not For Loan Reserve 9149

Includes bibliographical references (pages 197-203) and index.

Machine generated contents note: Part I. Preliminaries: 1. Introduction; 2. Geometric and topological phases; 3. Quantum computation; 4. Computational power of anyons; Part II. Topological Models: 5. Quantum double models; 6. Kitaev's honeycomb lattice model; 7. Chern-Simons quantum field theories; Part III. Quantum Information Perspectives: 8. The Jones polynomial algorithm; 9. Topological entanglement entropy; 10. Outlook; Index.

"Combining physics, mathematics and computer science, topological quantum computation is a rapidly expanding research area focused on the exploration of quantum evolutions that are immune to errors. In this book, the author presents a variety of different topics developed together for the first time, forming an excellent introduction to topological quantum computation. The makings of anyonic systems, their properties and their computational power are presented in a pedagogical way. Relevant calculations are fully explained, and numerous worked examples and exercises support and aid understanding. Special emphasis is given to the motivation and physical intuition behind every mathematical concept. Demystifying difficult topics by using accessible language, this book has broad appeal and is ideal for graduate students and researchers from various disciplines who want to get into this new and exciting research field"--

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