  Entangling microwave and optical photons is one of the promising ways to
realize quantum transduction through quantum teleportation. This paper
investigates the entanglement of microwave-optical photon pairs generated from
an electro-optomechanical system driven by a blue-detuned pulsed Gaussian pump.
The photon pairs are obtained through weak parametric-down-conversion, and
their temporal correlation is revealed by the second-order correlation
function. We then study the discrete variable entanglement encoded in the time
bin degree of freedom, where entanglement is identified by Bell inequality
violation. Furthermore, we estimate the laser-induced heating and show that the
pulse-pumped system features lower heating effects while maintaining a
reasonable coincidence photon counting rate.
