Spin Networks and Quantum Computation

Louis Hirsch Kauffman, Samuel J. Lomonaco

Published Jan 1, 2008• 5 citations

Abstract

We review the q-deformed spin network approach to Topological Quantum Field Theory and apply these methods to produce unitary representa- tions 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 computa- tion. We here formulate these braid group representations in a form suitable for computation and algebraic work.

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