Topological Quantum Computing and the Jones Polynomial

Details Topological Quantum Computing and the Jones Polynomial Topological Quantum Computing and the Jones Polynomial

2006-04-29

arxiv.org/abs/quant-ph/0605004v1

Physics

Quantum Physics

19 pages, 27 figures

Scientific paper

10.1117/12.665361

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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