Experimental certification of high-dimensional entanglement with randomized measurements

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.

References in corpus (7)

• Entanglement detection
• Efficient and mode selective spatial mode multiplexer based on Multi-Plane Light Conversion
• Entanglement Certification $-$ From Theory to Experiment
• The structure of multidimensional entanglement in multipartite systems
• Characterization of high-dimensional entangled systems via mutually unbiased measurements
• Characterizing multipartite entanglement without shared reference frames
• Discrete Fourier-based Correlations for Entanglement Detection

Cited by in corpus (3)

• Quantum reservoir computing for photonic entanglement witnessing
• Measurement-device-independent Schmidt number certification of all entangled states
• Certifying entanglement dimensionality by $k$-reduction moments