  We investigate the nature of correlations in Gaussian light sources used for
ghost imaging. We adopt methods from quantum information theory to distinguish
genuinely quantum from classical correlations. Combining a microscopic analysis
of speckle-speckle correlations with an effective coarse-grained description of
the beams, we show that quantum correlations exist even in `classical'-like
thermal light sources, and appear relevant for the implementation of ghost
imaging in the regime of low illumination. We further demonstrate that the
total correlations in the thermal source beams effectively determine the
quality of the imaging, as quantified by the signal-to-noise ratio.
