论文标题
轨道角动量编码状态的可编程统一操作
Programmable Unitary Operations for Orbital Angular Momentum Encoded States
论文作者
论文摘要
我们提出并展示了一种可扩展和高效的方案，用于在轨道角动量（OAM）域中可编程的单一操作。基于矩阵分解为对角线和傅立叶因子，只能通过对角矩阵交替作用于轨道角动量结构域和方位角角结构域来实现任意矩阵算子，这些矩阵通过傅立叶变换链接。通过数值模拟，为OAM域设计和讨论了尺寸为3*3的统一矩阵。同时，我们提出的方案的并行性也有两个3*3矩阵。此外，作为验证我们的建议的替代方法，使用相同的矩阵分解方法在路径域上进行了原理实验证明，其中通过80个实验结果评估平均忠诚度为0.97，维度为3*3。
We have proposed and demonstrated a scalable and efficient scheme for programmable unitary operations in orbital angular momentum (OAM) domain. Based on matrix decomposition into diagonal and Fourier factors, arbitrary matrix operators can be implemented only by diagonal matrices alternately acting on orbital angular momentum domain and azimuthal angle domain, which are linked by Fourier transform. With numerical simulations, unitary matrices with dimensionality of 3*3 are designed and discussed for OAM domain. Meanwhile, the parallelism of our proposed scheme is also presented with two 3*3 matrices. Furthermore, as an alternative to verify our proposal, proof of principle experiments have been performed on path domain with the same matrix decomposition method, in which an average fidelity of 0.97 is evaluated through 80 experimental results with dimensionality of 3*3.
