Coherent manipulation of a three-dimensional maximally entangled state
Shi-Long Liu, Zhi-Yuan Zhou, Shi-Kai Liu, Yin-Hai Li, Yan Li,, Chen-Yang, Zhao-huai Xu, Zhao-di Liu, Guang-Can Guo, Bao-Sen Shi

TL;DR
This paper demonstrates an experimental scheme to generate high-quality, controllable maximally entangled photon pairs in three dimensions using orbital angular momentum, improving upon existing methods by direct modulation of the spatial spectrum.
Contribution
It introduces a novel method for directly controlling the spatial spectrum and phase of entangled photon pairs via pump beam engineering in spontaneous parametric down-conversion.
Findings
Successfully generated maximally entangled photon pairs with high quality.
Achieved direct modulation of the spatial spectrum of entangled photons.
Demonstrated easy manipulation of the relative phase between entangled photons.
Abstract
Maximally entangled photon pairs with a spatial degree of freedom is a potential way for realizing high-capacity quantum computing and communication. However, methods to generate such entangled states with high quality, high brightness, and good controllability are needed. Here, a scheme is experimentally demonstrated that generates spatially maximally entangled photon pairs with an orbital angular momentum degree of freedom via spontaneous parametric down-conversion in a nonlinear crystal. Compared with existing methods using post-selection, the technique can directly modulate the spatial spectrum of down-converted photon pairs by engineering the input pump beam. In addition, the relative phase between spatially entangled photon pairs can be easily manipulated by preparing the relative phase of input pump states.
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