  The unification of quantum mechanics and gravity remains as one of the
primary challenges of present-day physics. Quantum-gravity-inspired
phenomenological models offer a window to explore potential aspects of quantum
gravity including qualitatively new behaviour that can be experimentally
tested. One such phenomenological model is the generalized uncertainty
principle (GUP), which predicts a modified Heisenberg uncertainty relation and
a deformed canonical commutator. It was recently shown that optomechanical
systems offer significant promise to put stringent experimental bounds on such
models. In this paper, we introduce a scheme to increase the sensitivity of
these experiments with an extended sequence of pulsed optomechanical
interactions. We also analyze the effects of optical phase noise and optical
loss and present a strategy to mitigate such deleterious effects.
