# Ju n 20 06 q-Deformed Spin Networks , Knot Polynomials and Anyonic Topological Quantum Computation

@inproceedings{Kauffman2006JuN2, title={Ju n 20 06 q-Deformed Spin Networks , Knot Polynomials and Anyonic Topological Quantum Computation}, author={Louis H. Kauffman}, year={2006} }

- Published 2006

We review the q-deformed spin network approach to Topological Quantum Field Theory and apply these methods to produce unitary representations of the braid groups that are dense in the unitary groups. Our methods are rooted in the bracket state sum model for the Jones polynomial. We give our results for a large class of representations based on values for the bracket polynomial that are roots of unity. We make a separate and self-contained study of the quantum universal Fibonacci model in this… CONTINUE READING