Introduction to topological quantum computation
type: Item
instance of: scholarly article
zbMATH Open document ID: 1247.81003
DOI: 10.1017/CBO9780511792908
publication date: 2012-05-15T00:00:00Z
Mathematics Subject Classification ID: 81-01
Mathematics Subject Classification ID: 81P68
Mathematics Subject Classification ID: 68Q05
Mathematics Subject Classification ID: 68Q12
zbMATH DE Number: 6035290
zbMATH Keywords: geometrical phase
zbMATH Keywords: anyon
zbMATH Keywords: quantum computation
zbMATH Keywords: Majorana fermion
zbMATH Keywords: braid group
zbMATH Keywords: Temperley-Lieb algebra
zbMATH Keywords: topological entropy
author: Jiannis K. Pachos
MaRDI profile type: Publication
full work available at URL: cbo9780511792908
OpenAlex ID: W110583329
title: Introduction to topological quantum computation
review text: Based on author's 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, forming an introduction to topological quantum computation. The makings of topological systems, their properties and their computational power are presented in a pedagogical way. Relevant calculations are explained, and numerous worked examples and exercises aid understanding. Special emphasis is given to the motivation and physical intuition behind mathematical concepts. The book is intended for graduate students and researchers from various disciplines who want to get into this new research field.NEWLINENEWLINEContents:NEWLINENEWLINEPart I Preliminaries (1 Introduction; 2 Geometrical and topological phases; 3 Quantum computation; 4 Computational power of anyons)NEWLINENEWLINEPart II Topological models (5 Quantum double model; 6 Kitaev's honeycomb lattice model; 7 Chern-Simons field theories)NEWLINENEWLINEPart III Quantum information perspectives (8 The Jones polynomial algorithm; 9 Topological entanglement entropy).
reviewed by: Alexander S. Holevo
description: scientific article; zbMATH DE number 6035290