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We demonstrate a complete, probabilistic quantum dynamical simulation of thestandard nonlinear Hamiltonian of optomechanics, including decoherence atfinite temperatures. Robust entanglement of an optical pulse with theoscillator is predicted, as well as strong quantum steering between the opticaland mechanical systems. Importantly, our probabilistic quantum simulationmethod uses the positive-P technique, which is scalable to large Hilbertspaces.

Scalable quantum simulation of pulsed entanglement and Einstein-Podolsky-Rosen steering in optomechanics