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Spin Networks and Anyonic Topological Computing

Louis H. Kauffman·Samuel J. Lomonaco Jr
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Abstract

We review the q-deformed spin network approact to Topological Quantum Field Theory and apply these methods to produce unitary representations of the braid groups that are dense in the unitary groups. These methods produce a concise proof that quantum computation can be performed within a single representation of the Artin Braid Group.

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Louis H. Kauffman, Samuel J. Lomonaco Jr. 2006-04-24. Spin Networks and Anyonic Topological Computing. https://doi.org/10.1117/12.666291

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