Introduction to topological quantum computation / Jiannis K. Pachos, University of Leeds, UK.

Format:

Book

Author/Creator:

Pachos, Jiannis K.

Language:

English

Subjects (All):

Quantum theory--Data processing.

Quantum theory.

Topology.

Physical Description:

x, 206 pages : illustrations ; 26 cm

Place of Publication:

Cambridge, UK ; New York : Cambridge University Press, 2012.

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"--Provided by publisher.

Contents:

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..

Notes:

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

ISBN:

1107005043

9781107005044

OCLC:

768072056

Publisher Number:

99949620482