  We investigate the effects of a squeezed pump on the quantum properties and
conversion efficiency of the light produced in single-pass second harmonic
generation. Using stochastic integration of the two-mode equations of motion in
the positive-P representation, we find that larger violations of
continuous-variable harmonic entanglement criteria are available for lesser
effective interaction strengths than with a coherent pump. This enhancement of
the quantum properties also applies to violations of the Reid-Drummond
inequalities used to demonstrate a harmonic version of the
Einstein-Podolsky-Rosen paradox. We find that the conversion efficiency is
largely unchanged except for very low pump intensities and high levels of
squeezing.
