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29 March 2024
 
  » arxiv » 0711.4703

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Linear optics implementation for Yang-Baxter Equation
Shuang-Wei Hu ; Ming-Guang Hu ; Kang Xue ; Mo-Lin Ge ;
Date 30 Nov 2007
AbstractIn this paper, several proposals of optically realizing Yang-Baxter equations are presented. Motivated by the recent development of anyon theory, two of the present authors have applied Temperley-Lieb algebra as a bridge to recast four-dimentional Yang-Baxter equation into its two-dimensional counterpart [Communications between M. L. Ge and K. Xue]. In accord with both representations, we find the corresponding linear-optical realizations, 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. The total proposals are fully presented to directly realize Yang-Baxter equations.
Source arXiv, 0711.4703
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