Authors
Christoph Hotter, Clara Henke, Cornelis Jacobus van Diepen, Peter Lodahl, Anders Søndberg Sørensen
Published in
Physical review letters. Volume 136. Issue 24. Pages 243601. Jun 19, 2026.
Abstract
Quantum non-Gaussian states, which cannot be written as mixtures of Gaussian states, are necessary to achieve a quantum advantage in continuous variable systems. They represent an important benchmark for the realization of an advanced quantum light source, as they cannot be made by simple means such as displacement and squeezing. We introduce an attenuation-resistant sufficient criterion for quantum non-Gaussian states based on the second- and third-order correlation functions, g^{(2)} and g^{(3)}. The general nonlinear bound for classical mixtures of Gaussian states is sqrt[g^{(3)}]+3sqrt[g^{(2)}]≥2. Any mixture of Gaussian states must fulfill this inequality, thus, the violation of it represents a direct confirmation of quantum non-Gaussianity. We experimentally show the non-Gaussianity of the state produced by a quantum dot single-photon source, where we obtain sqrt[g^{(3)}]+3sqrt[g^{(2)}]=0.174(13), which represents a statistical significance of more than 100 standard deviations.
PMID:
42412451
Bibliographic data and abstract were imported from PubMed on 07 Jul 2026.
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