Optical Simulation of Yang-Baxter Equation

Details Optical Simulation of Yang-Baxter Equation Optical Simulation of Yang-Baxter Equation

2007-11-29

arxiv.org/abs/0711.4703v3

Physics

Quantum Physics

15 pages, 7 figures; introduction and second section are dramatically rewritten, in order to improve the physical sense

Scientific paper

10.1103/PhysRevA.78.022319

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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