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Abstract: This paper gives a generalization of the AJL algorithm and unitary braidgroup representation for quantum computation of the Jones polynomial tocontinuous ranges of values on the unit circle of the Jones parameter. We showthat our 3-strand algorithm for the Jones polynomial is a special case of thisgeneralization of the AJL algorithm. The present paper uses diagrammatictechniques to prove these results. The techniques of this paper have been usedand will be used in the future in work with R. Marx, A. Fahmy, L. H. Kauffman,S. J. Lomonaco Jr.,A. Sporl, N. Pomplun, T. Schulte Herbruggen, J. M. Meyers,and S. J. Glaser on NMR quantum computation of the Jones polynomial.



Autor: Louis H. Kauffman, Samuel J. Lomonaco Jr

Fuente: https://arxiv.org/







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