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We demonstrate that the entanglement in a class of two-mode non-Gaussianstates obtained by subtracting photons from Gaussian twin beams can be boundedfrom above and from below by functionals of the second moments only. Knowledgeof the covariance matrix thus suffices for an entanglement quantification withappreciable precision. The absolute error in the entanglement estimation scaleswith the non-Gaussianity of the considered states.

Experimentally friendly bounds on non-Gaussian entanglement from second moments