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Proceedings Paper

Quantum algorithms for colored Jones polynomials
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Paper Abstract

We review the q-deformed spin networks 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 formulate these braid group representations in a form suitable for computation and algebraic work and apply them to quantum algorithms for the computation of colored Jones polynomials and the Witten-Reshetikhin-Turaev Invariants.

Paper Details

Date Published: 27 April 2009
PDF: 15 pages
Proc. SPIE 7342, Quantum Information and Computation VII, 73420L (27 April 2009); doi: 10.1117/12.821974
Show Author Affiliations
Louis H. Kauffman, Univ. of Illinois at Chicago (United States)
Samuel J. Lomonaco Jr., Univ. of Maryland, Baltimore County (United States)

Published in SPIE Proceedings Vol. 7342:
Quantum Information and Computation VII
Eric J. Donkor; Andrew R. Pirich; Howard E. Brandt, Editor(s)

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