Optical simulation of the Yang-Baxter equation
Optical simulation of the Yang-Baxter equation
复制标题
Yang-Baxter 方程的光学模拟
DOI：
10.1103/physreva.78.022319
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发表时间：
2008-08-01
影响因子：
2.9
通讯作者：
Ge, Mo-Lin
中科院分区：
文献类型：
--
作者：
Hu, Shuang-Wei;Xue, Kang;Ge, Mo-Lin
本文提出了几种光学模拟Yang-Baxter方程的方法。受最近任意子理论发展的激励，我们应用坦波利-利布代数作为桥梁，将四维杨-巴克斯特方程重塑为二维对应方程。根据这两种表示，我们找到了相应的基于高效光学元件的线性光学模拟。利用光子偏振自由度和位置自由度作为量子比特基，将单一的Yang-Baxter矩阵分解为基本光学元件的作用组合。
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 a four-dimensional 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 degrees of freedom of photon polarization and location are utilized as the qubit basis, in which the unitary Yang-Baxter matrices are decomposed into a combination of actions of basic optical elements.