dorsal/arxiv
View SchemaTopological Quantum Computing and the Jones Polynomial
| Authors | Samuel J. Lomonaco, Jr., Louis H. Kauffman |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0605004 |
| URL | https://arxiv.org/abs/quant-ph/0605004 |
| DOI | 10.1117/12.665361 |
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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"abstract": "In this paper, we give a description of a recent quantum algorithm created by\nAharonov, Jones, and Landau for approximating the values of the Jones\npolynomial at roots of unity of the form exp(2$\\pi$i/k). This description is\ngiven with two objectives in mind. The first is to describe the algorithm in\nsuch a way as to make explicit the underlying and inherent control structure.\nThe second is to make this algorithm accessible to a larger audience.",
"arxiv_id": "quant-ph/0605004",
"authors": [
"Samuel J. Lomonaco, Jr.",
"Louis H. Kauffman"
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"doi": "10.1117/12.665361",
"title": "Topological Quantum Computing and the Jones Polynomial",
"url": "https://arxiv.org/abs/quant-ph/0605004"
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