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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 | Abstract: | In 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 | Services: | Forum | Review | PDF | Favorites |
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