Experimental measurement of nonlinear entanglement witness by hyper-entangling two-qubit states
Vojt\v{e}ch Tr\'avn\'i\v{c}ek, Karol Bartkiewicz, Anton\'in, \v{C}ernoch, and Karel Lemr

TL;DR
This paper experimentally demonstrates that nonlinear entanglement witnesses can be effectively measured using hyper-entangled two-photon states in linear optics, enabling rapid entanglement detection on single copies.
Contribution
It introduces a practical method to measure nonlinear entanglement witnesses directly on hyper-entangled states, simplifying entanglement detection procedures.
Findings
Nonlinear entanglement witnesses can be measured on single hyper-entangled states.
Hyper-entanglement enables quick and practical entanglement detection.
Experimental validation using linear optics with two photons.
Abstract
We demonstrate that non-linear entanglement witnesses can be made particularly useful for entanglement detection in hyper-entangled or multilevel states. We test this idea experimentally on the platform of linear optics using a hyper-entangled state of two photons. Instead of several simultaneous copies of two-photon entangled states, one can directly measure the witness on single copy of a hyper-entangled state. Our results indicate that hyper-entanglement can be used for quick entanglement detection and it provides a practical testbed for experiments with non-linear entanglement witnesses.
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