Abstract. Highly quantum non-linear interactions between different bosonic modes lead to the generation of quantum non-Gaussian states, i.e. states that cannot be written as mixtures of Gaussian states. A paradigmatic example is given by Schrödinger's cat states, that is coherent superpositions of coherent states with opposite amplitude. We here consider a novel quantum non-Gaussianity criterion recently proposed in the literature and prove its effectiveness on Schrödinger cat states evolving in a lossy bosonic channel. We prove that quantum non-Gaussianity can be effectively detected for high values of losses and for large coherent amplitudes of the cat states. arXiv:1309.4221v3 [quant-ph] 2 Jul 2014Detecting quantum non-Gaussianity of noisy Schrödinger cat states 2

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