  We consider the propagation of several entangled photons through an
elastically scattering medium and study statistical properties of their speckle
patterns. We find the spatial correlations of multiphoton speckles and their
sensitivity to changes of system parameters. Our analysis covers both the
directed-wave regime, where rays propagate almost ballistically while
experiencing small-angle diffusion, and the real-space diffusive regime. We
demonstrate that long-range correlations of the speckle patterns dominate
experimental signatures for large-aperture photon detectors. We also show that
speckle sensitivity depends strongly on the number of photons $N$ in the
incoming beam, increasing as $\sqrt{N}$ in the directed-wave regime and as $N$
in the diffusive regime.
