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arXiv · 0711.4703

Optical Simulation of Yang-Baxter Equation

Shuang-Wei Hu·Ming-Guang Hu·Kang Xue·Mo-Lin Ge
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Abstract

In this paper, several proposals of optically simulating Yang-Baxter equations have been presented. Motivated by the recent development of anyon theory, we apply Temperley-Lieb algebra as a bridge to recast four-dimentional Yang-Baxter equation into its two-dimensional counterpart. In accordance with both representations, we find the corresponding linear-optical simulations, based on the highly efficient optical elements. Both the freedom degrees of photon polarization and location are utilized as the qubit basis, in which the unitary Yang-Baxter matrices are decomposed into combination of actions of basic optical elements.

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Shuang-Wei Hu, Ming-Guang Hu, Kang Xue, Mo-Lin Ge. 2008-04-30. Optical Simulation of Yang-Baxter Equation. https://doi.org/10.1103/physreva.78.022319

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