Topological Quantum Computing and the Jones Polynomial

Samuel J. Lomonaco, Jr.; Louis H. Kauffman

doi:10.1117/12.665361

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Topological Quantum Computing and the Jones Polynomial

Samuel J. Lomonaco, Jr.·Louis H. Kauffman

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Abstract

In this paper, we give a description of a recent quantum algorithm created by Aharonov, Jones, and Landau for approximating the values of the Jones polynomial at roots of unity of the form exp(2$\pi$i/k). This description is given with two objectives in mind. The first is to describe the algorithm in such a way as to make explicit the underlying and inherent control structure. The second is to make this algorithm accessible to a larger audience.

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Samuel J. Lomonaco, Jr., Louis H. Kauffman. 2006-04-29. Topological Quantum Computing and the Jones Polynomial. https://doi.org/10.1117/12.665361

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