Signatures of the quantization of gravity at gravitational wave detectors

We develop a formalism to calculate the response of model gravitational wave detector quantized field. Coupling quantum field induces stochastic fluctuations ("noise") in length arm. The statistical properties this noise depend on choice state characterize for vacuum, coherent, thermal, and squeezed states. For coherent states, corresponding classical configurations, we find that effect quantization is small. However, standard deviation arm can be enhanced -- possibly significantly when non-coherent state. detection fundamental could provide direct evidence gravity existence gravitons.