Quantum entanglement and teleportation in pulsed cavity optomechanics

Entangling a mechanical oscillator with an optical mode is an enticing and yet a very challenging goal in cavity-optomechanics. Here we propose a pulsed scheme to create EPR-type entanglement between a travelling-wave light pulse and a mechanical oscillator. The entanglement can be verified unambiguously by a pump--probe sequence of pulses. In contrast to schemes that work in a steady-state regime under continuous wave drive our protocol is not subject to stability requirements, which normally limit the strength of achievable entanglement. The protocol can readily be extended to realize quantum state teleportation of states of light onto the mechanical oscillator. It is robust against mechanical decoherence and is shown to work in current state-of-the-art systems.