Quantum spatial correlations imaging through thick scattering media: experiments and comparison with simulations of the biphoton wave function

We first extend our recent experiments of spatial quantum correlations imaging through thin scattering media to the case where two phase scattering plates placed respectively in the image and the Fourier planes of the biphoton source, mimics a thick scattering medium. Spatial correlations between twin photons are still detected at the quantum level but no more in the form of two-photon speckle-like patterns. However, we show that spatial entanglement of very-high dimensionality can be retrieved through thick scattering media with moderate losses and without any fair sampling assumption in the space and time domains. Second, a numerical simulation of the biphoton wave function is developed and applied to our experimental situation, with a good agreement.