  We prove feasibility of high-fidelity pulsed optomechanical interface based
on all-optical presqueezing of non-Gaussian quantum states of light before they
enter the optomechanical system. We demonstrate that feasible presqueezing of
optical states effectively increases the low noise transfer of them to
mechanical oscillator. It allows one to surpass the limit necessary to transfer
highly nonclassical states with negative Wigner function. In particular, we
verify that with this help single photon states of light can be efficiently
turned to single phonon states of mechanical oscillator, keeping the negativity
of the Wigner function. It opens the possibility to merge quantum optomechanics
with the recent methods of quantum optics.
