Non-Gaussian entanglement revealed by higher-order quadrature cumulants

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Hauptverfasser: Verma, Abhinav, Solodovnikova, Olga, Neergaard-Nielsen, Jonas S., Andersen, Ulrik L.
Format: Preprint
Veröffentlicht: 2025
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author Verma, Abhinav
Solodovnikova, Olga
Neergaard-Nielsen, Jonas S.
Andersen, Ulrik L.
author_facet Verma, Abhinav
Solodovnikova, Olga
Neergaard-Nielsen, Jonas S.
Andersen, Ulrik L.
contents Entanglement is central to quantum physics, yet detecting and exploiting it in non-Gaussian systems remains a major challenge. In continuous variable platforms, standard inseparability criteria based on Gaussian statistics-such as the Duan-Simon criterion-fail when quantum correlations are encoded in higher moments of the field quadratures. Here we introduce a framework for detecting non-Gaussian entanglement using higher-order quadrature cumulants. In the Gaussian limit, the lowest order condition reduces to the Duan criterion, while higher-order violations reveal entanglement inaccessible to second-order methods. We experimentally demonstrate a tomography-free certification of inseparability in photon-subtracted squeezed states of light, where Gaussian witnesses fail despite the presence of entanglement. We further show that such higher-order inseparability enables enhanced quantum teleportation of Wigner negativity as compared to Gaussian protocols. These results identify higher-order cumulants as natural observables for non-Gaussian entanglement and open new routes to harnessing non-Gaussian resources in continuous variable quantum technologies.
format Preprint
id arxiv_https___arxiv_org_abs_2512_17681
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Non-Gaussian entanglement revealed by higher-order quadrature cumulants
Verma, Abhinav
Solodovnikova, Olga
Neergaard-Nielsen, Jonas S.
Andersen, Ulrik L.
Quantum Physics
Entanglement is central to quantum physics, yet detecting and exploiting it in non-Gaussian systems remains a major challenge. In continuous variable platforms, standard inseparability criteria based on Gaussian statistics-such as the Duan-Simon criterion-fail when quantum correlations are encoded in higher moments of the field quadratures. Here we introduce a framework for detecting non-Gaussian entanglement using higher-order quadrature cumulants. In the Gaussian limit, the lowest order condition reduces to the Duan criterion, while higher-order violations reveal entanglement inaccessible to second-order methods. We experimentally demonstrate a tomography-free certification of inseparability in photon-subtracted squeezed states of light, where Gaussian witnesses fail despite the presence of entanglement. We further show that such higher-order inseparability enables enhanced quantum teleportation of Wigner negativity as compared to Gaussian protocols. These results identify higher-order cumulants as natural observables for non-Gaussian entanglement and open new routes to harnessing non-Gaussian resources in continuous variable quantum technologies.
title Non-Gaussian entanglement revealed by higher-order quadrature cumulants
topic Quantum Physics
url https://arxiv.org/abs/2512.17681