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Proceedings Paper

Spin networks and anyonic topological computing II
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Paper 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.

Paper Details

Date Published: 25 April 2007
PDF: 13 pages
Proc. SPIE 6573, Quantum Information and Computation V, 65730U (25 April 2007); doi: 10.1117/12.719476
Show Author Affiliations
Louis H. Kauffman, Univ. of Illinois, Chicago (United States)
Samuel J. Lomonaco Jr., Univ. of Maryland, Baltimore County (United States)

Published in SPIE Proceedings Vol. 6573:
Quantum Information and Computation V
Eric J. Donkor; Andrew R. Pirich; Howard E. Brandt, Editor(s)

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