论文标题
高维角动量的回归
Regression of high dimensional angular momentum states of light
论文作者
论文摘要
光的轨道角动量(OAM)是无限维度的光自由度,在经典和量子光学元件中都有多种应用。但是,为了充分利用OAM状态的潜力,需要在实验条件下表征生成状态的可靠检测平台。在这里,我们提出了一种从测量其产生的空间强度分布的测量中重建输入OAM态的方法。为了消除Laguerre-Gauss模式的固有对称性引起的问题,我们每个状态仅在两个不同的基础上投射它,这是如何从收集到的数据中唯一唯一恢复输入状态的。我们的方法是基于通过主成分分析和线性回归降低维数的合并应用,因此在培训和测试阶段的计算成本较低。我们在真实的光子设置中展示了我们的方法,通过量子行动动力学生成最新的OAM状态。所示方法的高性能和多功能性使其成为表征量子信息协议中高维状态的理想工具。
The Orbital Angular Momentum (OAM) of light is an infinite-dimensional degree of freedom of light with several applications in both classical and quantum optics. However, to fully take advantage of the potential of OAM states, reliable detection platforms to characterize generated states in experimental conditions are needed. Here, we present an approach to reconstruct input OAM states from measurements of the spatial intensity distributions they produce. To obviate issues arising from intrinsic symmetry of Laguerre-Gauss modes, we employ a pair of intensity profiles per state projecting it only on two distinct bases, showing how this allows to uniquely recover input states from the collected data. Our approach is based on a combined application of dimensionality reduction via principal component analysis, and linear regression, and thus has a low computational cost during both training and testing stages. We showcase our approach in a real photonic setup, generating up-to-four-dimensional OAM states through a quantum walk dynamics. The high performances and versatility of the demonstrated approach make it an ideal tool to characterize high dimensional states in quantum information protocols.