Spin networks and anyonic topological computing II

Louis H. Kauffman; Samuel J. Lomonaco Jr.

doi:10.1117/12.719476

25 April 2007 Spin networks and anyonic topological computing II

Louis H. Kauffman, Samuel J. Lomonaco Jr.

Proceedings Volume 6573, Quantum Information and Computation V; 65730U (2007) https://doi.org/10.1117/12.719476
Event: Defense and Security Symposium, 2007, Orlando, Florida, United States

Abstract

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.

Citation Download Citation

Louis H. Kauffman and Samuel J. Lomonaco Jr. "Spin networks and anyonic topological computing II", Proc. SPIE 6573, Quantum Information and Computation V, 65730U (25 April 2007); https://doi.org/10.1117/12.719476

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