  The paper investigated a set of non-Gaussian states generated by measuring
the number of particles in one of the modes of a two-mode entangled Gaussian
state. It was demonstrated that all generated states depend on two types of
parameters: some parameters are responsible for Gaussian characteristics, while
other parameters are responsible for non-Gaussian characteristics. Among all
generated states, we identified those optimally generated in terms of the
generation probability and the magnitude of non-Gaussianity.
