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Proceedings Paper

Quantum algorithms for the Jones polynomial and Khovanov homology
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Paper Abstract

This paper generalizes the AJL algorithm for quantum computation of the Jones polynomial to continuous ranges of values on the unit circle for the Jones parameter and shows that the Kauffman-Lomonaco 3-strand algorithm for the Jones polynomial is a special case of this generalization. We then describe a quantum algorithm for the Jones polynomial that is related to Khovanov homology.

Paper Details

Date Published: 8 May 2012
PDF: 15 pages
Proc. SPIE 8400, Quantum Information and Computation X, 84000V (8 May 2012); doi: 10.1117/12.918987
Show Author Affiliations
Louis H. Kauffman, Univ. of Illinois at Chicago (United States)
Samuel J. Lomonaco, Univ. of Maryland, Baltimore County (United States)

Published in SPIE Proceedings Vol. 8400:
Quantum Information and Computation X
Eric Donkor; Andrew R. Pirich; Howard E. Brandt, Editor(s)

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