  We have studied the conditions for quantum steering between output modes when
squeezed Gaussian light and vacuum mix in a beamsplitter as a function of the
amount of squeezing and purity of the incident state. For Gaussian
measurements, we find that for sufficiently strong squeezing, steering is
possible regardless of the purity of the incident state. Two different types of
non-Gaussian measurements were also considered. For one of them, an increase
with respect to Gaussian measurements of the set of two-way-steerable states is
obtained only for unbalanced beamsplitters.
