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arXiv · 2412.04643

Experimental certification of high-dimensional entanglement with randomized measurements

Ohad Lib·Shuheng Liu·Ronen Shekel·Qiongyi He·Marcus Huber·Yaron Bromberg·Giuseppe Vitagliano
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Abstract

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.

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Ohad Lib, Shuheng Liu, Ronen Shekel, Qiongyi He, Marcus Huber, Yaron Bromberg, Giuseppe Vitagliano. 2024-12-05. Experimental certification of high-dimensional entanglement with randomized measurements. https://doi.org/10.1103/physrevlett.134.210202

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