Experimental test of quantum non-Gaussianity of heralded single photon state
Miroslav Jezek, Ivo Straka, Michal Micuda, Miloslav Dusek, Jaromir, Fiurasek, Radim Filip

TL;DR
This paper experimentally verifies the quantum non-Gaussian nature of a heralded single photon state with a positive Wigner function, demonstrating it cannot be represented as a mixture of Gaussian states using standard photon anti-correlation measurements.
Contribution
It provides the first experimental demonstration that a heralded single photon with positive Wigner function exhibits quantum non-Gaussianity, confirmed through a straightforward measurement.
Findings
Confirmed quantum non-Gaussianity of the photon state
Demonstrated the state cannot be decomposed into Gaussian mixtures
Used standard photon anti-correlation measurement for verification
Abstract
We report on experimental verification of quantum non-Gaussianity of a heralded single photon state with positive Wigner function. We unambiguously demonstrate that the generated state cannot be expressed as a mixture of Gaussian states. A sufficient information to witness the quantum non-Gaussianity is obtained from a standard photon anti-correlation measurement.
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