  Two Kerr-squeezed optical beams can be combined in a beamsplitter to produce
non-Gaussian continuous-variable entangled states. We characterize the
non-Gaussian nature of the output by calculating the third-order cumulant of
quadrature variables, and predict the level of entanglement that could be
generated by evaluating the Duan-Simon and Reid Einstein-Podolsky-Rosen
criteria. These states have the advantage over Gaussian states and non-Gaussian
measurement schemes in that the well known, efficient and proven technology of
homodyne detection may be used for their characterisation. A physical
demonstration maintaining the important features of the model could be realised
using two optical fibres, beamsplitters, and homodyne detection.
