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This research presents a robust multicopy method for certifying strongly non-Gaussian entanglement in continuous-variable quantum systems, addressing a key bottleneck for photonic quantum computing and metrology. The proposed approach utilizes passive linear optics and particle-number measurements to detect critical state families like NOON states while remaining resilient against experimental noise and losses.
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Detecting strongly non-Gaussian entanglement

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arXiv:2504.15831v2 Announce Type: replace Abstract: Efficiently certifying non-Gaussian entanglement in continuous-variable quantum systems is a central challenge for advancing quantum information processing, photonic quantum computing, and metrology. Here, we put forward continuous-variable counterparts to the recently introduced entanglement criteria based on moments of the partially transposed state, together with simple readout schemes that require only a few replicas of the state, passive linear optics, and particle-number measurements. We develop a multicopy method that enables the detection of strongly non-Gaussian entanglement for various relevant state families overlooked by standard approaches, which include the entire class of NOON states. Further, it is robust against realistic experimental constraints (losses, noise, and finite statistics), which we demonstrate by extensive numerical simulations.

Abstract:Efficiently certifying non-Gaussian entanglement in continuous-variable quantum systems is a central challenge for advancing quantum information processing, photonic quantum computing, and metrology. Here, we put forward continuous-variable counterparts to the recently introduced entanglement criteria based on moments of the partially transposed state, together with simple readout schemes that require only a few replicas of the state, passive linear optics, and particle-number measurements. We develop a multicopy method that enables the detection of strongly non-Gaussian entanglement for various relevant state families overlooked by standard approaches, which include the entire class of NOON states. Further, it is robust against realistic experimental constraints (losses, noise, and finite statistics), which we demonstrate by extensive numerical simulations.

22 pages, 8 figures. This version was updated to match the published paper. The title has been slightly modified

arXiv:2504.15831 [quant-ph]

(or arXiv:2504.15831v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2504.15831 Focus to learn more arXiv-issued DOI via DataCite

Phys. Rev. Research 8, 033064 (2026)

https://doi.org/10.1103/297d-3tbj Focus to learn more DOI(s) linking to related resources

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