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Certification of energy-restricted entanglement depth with simple measurements

2025/09/08 by Carceller, Carles Roch I · 2 citations
#FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2509.06726

Abstract

The certification of entanglement in multipartite scenarios is crucial for the advancement of quantum technologies, particularly for the realization of large-scale quantum networks. Here, we introduce a method to certify entanglement in ensembles of quantum states with limited energy based on a state discrimination game played by multiple distant and uncharacterized parties. This game exhibits a hierarchy in its optimal success probability, which depends strictly on the entanglement structure of the underlying ensemble. On the other hand, the game can be optimally won using a single, fixed measurement setting shared by all parties, regardless of the specific entanglement structure. We further demonstrate that both the performance and noise robustness of our method improve in the multipartite regime, scaling exponentially with the number of parties. Consequently, our approach enables the exclusion of entire separability classes, thereby certifying the depth of multipartite entanglement.

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