Optical Simulation of Yang-Baxter Equation
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.
Keywords
Cite
@article{arxiv.0711.4703,
title = {Optical Simulation of Yang-Baxter Equation},
author = {Shuang-Wei Hu and Ming-Guang Hu and Kang Xue and Mo-Lin Ge},
journal= {arXiv preprint arXiv:0711.4703},
year = {2009}
}
Comments
15 pages, 7 figures; introduction and second section are dramatically rewritten, in order to improve the physical sense