Introduction to topological quantum computation
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).
scientific article; zbMATH DE number 6035290