Optimal squeezing to minimize vulnerability to losses

Non-Gaussian states, described by Wigner quasi-probability distribution taking negative values, are of great interest for various applications of quantum physics. It is known however that they are highly vulnerable to dissipation. In this paper, we show that the robustness of the non-Gaussian states to losses can be significantly improved by pre-squeezing of the quantum state, and find the optimal parameters of the squeezing. As specific examples, we consider such well-known quantum states as Schrodinger cat, Fock , and ``banana'' ones.