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 results are applied to the quantum computation of colored Jones polynomials.
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Kauffman, L.H., Lomonaco, S.J. (2007). Spin Networks, Quantum Topology and Quantum Computation. In: Leivant, D., de Queiroz, R. (eds) Logic, Language, Information and Computation. WoLLIC 2007. Lecture Notes in Computer Science, vol 4576. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73445-1_18
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DOI: https://doi.org/10.1007/978-3-540-73445-1_18
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