Unitary R-matrices for topological quantum computing
type: Item
instance of: scholarly article
title: Unitary R-matrices for topological quantum computing
zbMATH Open document ID: 1110.81038
DOI: 10.1016/S0034-4877(06)80010-8
author: N. E. Zubov
published in: Reports on Mathematical Physics
publication date: 2007-03-27T00:00:00Z
Mathematics Subject Classification ID: 81P68
Mathematics Subject Classification ID: 16W30
Mathematics Subject Classification ID: 57M99
Mathematics Subject Classification ID: 57R58
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 81R50
Mathematics Subject Classification ID: 81R10
zbMATH DE Number: 5137541
zbMATH Keywords: topological quantum computer
zbMATH Keywords: quasi-triangular Hopf algebra
zbMATH Keywords: \(R\)-matrix
zbMATH Keywords: braid group
zbMATH Keywords: unitary representation
zbMATH Keywords: knot theory
zbMATH Keywords: Jones polynomial
MaRDI profile type: Publication
cites work: Quantum double finite group algebras and link polynomials
cites work: Reliable quantum computers
cites work: Topological quantum computation
cites work: Fault-tolerant quantum computation by anyons
cites work: A quantum groups primer
cites work: Quantum Groups in Two-Dimensional Physics
cites work: Q4000283
cites work: Unitary solutions to the Yang-Baxter equation in dimension four
cites work: A magnetic model with a possible Chern-Simons phase (with an appendix by F. Goodman and H. Wenzl)
cites work: Simulation of topological field theories by quantum computers
cites work: Quantum computation and the localization of modular functors
description: scientific article; zbMATH DE number 5137541