  The generalized uncertainty principle and a minimum measurable length arise
in various theories of gravity and predict Planck-scale modifications of the
canonical position-momentum commutation relation. Postulating a similar
modified commutator between the canonical variables of the electromagnetic
field in quantum optics, we compute Planck-scale corrections to the radiation
pressure noise and shot noise of Michelson-Morley interferometers, with
particular attention to gravity wave detectors such as LIGO. We show that
advanced LIGO is potentially sensitive enough to observe Planck-scale effects
and thereby indirectly a minimal length. We also propose estimates for the
bounds on quantum gravity parameters from current and future advanced LIGO
experiments.
