Certification of energy-restricted entanglement depth with simple measurements

Abstract: The ability to certify entanglement in multipartite scenarios is crucial for the development of quantum technologies, specially for the realization of large-scale networks. Here, we introduce a method to certify entanglement from sources with limited energy based on a state discrimination game played by multiple distant uncharacerized parties. Our approach is capable of detecting entanglement across all possible bipartitions employing a single, simple and separable measurement setting for all parties, thereby providing a robust and scalable tool for certifying the depth of multipartite entanglement. We also show that the performance and noise robustness of our method improves in the multipartite regime, growing exponentially with the number of parties.