Spin Networks and Quantum Computation ∗

  title={Spin Networks and Quantum Computation ∗},
  author={Louis H. Kauffman and Samuel J. Lomonaco},
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. The simplest case of these models is the Fibonacci model, itself universal for quantum computation. We here formulate these braid group representations in a form suitable for computation and algebraic work. PACS number: 02.20.Uw 


Publications referenced by this paper.
Showing 1-6 of 6 references

2006) in: Quantum Information and Quantum Computation IV

L. H. Kauffman, S. J. Lomonaco
Proceedings of Spie, April 17-19 • 2006
View 3 Excerpts
Highly Influenced

2007) in: Quantum Information and Quantum Computation V Proceedings of Spie

L. H. Kauffman, S. J. Lomonaco
April 10-12 • 2007
View 1 Excerpt


M. H. Freedman, A. Kitaev
Wang • 2002

Fractional Statistics and Anyon Superconductivity

F. Wilczek
World Scientific, Singapore • 1990

Similar Papers

Loading similar papers…