High-dimensional entangled states offer higher information capacity and stronger resilience to noise compared with two-dimensional systems. However, the large number of modes and sensitivity to random rotations complicate experimental entanglement certification. Here, we experimentally certify three-dimensional entanglement in a five-dimensional two-photon state using 800 Haar-random measurements implemented via a 10-plane programmable light converter. We further demonstrate the robustness of this approach against random rotations, certifying high-dimensional entanglement despite arbitrary phase randomization of the optical modes. This method, which requires no common reference frame between parties, opens the door for high-dimensional entanglement distribution through long-range random links.
@article{arxiv.2412.04643,
title = {Experimental certification of high-dimensional entanglement with randomized measurements},
author = {Ohad Lib and Shuheng Liu and Ronen Shekel and Qiongyi He and Marcus Huber and Yaron Bromberg and Giuseppe Vitagliano},
journal= {arXiv preprint arXiv:2412.04643},
year = {2025}
}