Spin Networks and Anyonic Topological Computing
Quantum Physics
2009-11-13 v3
Abstract
We review the q-deformed spin network approact to Topological Quantum Field Theory and apply these methods to produce unitary representations of the braid groups that are dense in the unitary groups. These methods produce a concise proof that quantum computation can be performed within a single representation of the Artin Braid Group.
Cite
@article{arxiv.quant-ph/0603131,
title = {Spin Networks and Anyonic Topological Computing},
author = {Louis H. Kauffman and Samuel J. Lomonaco},
journal= {arXiv preprint arXiv:quant-ph/0603131},
year = {2009}
}
Comments
12 pages, 14 figures, LaTeX document