Generation of Entangled States of Qudits using Twin Photons

We report an experiment to generate entangled states of $\mathcal{D}$-dimensional quantum systems, qudits, by using transverse spatial correlations of two parametric down-converted photons. Apertures with $\mathcal{D}$ slits in the arms of the twin photons define the qudit space. By manipulating the pump beam correctly, the twin photons will pass only by symmetrically opposite slits, generating entangled states between these different paths. Experimental results for qudits with $\mathcal{D}=4$ and 8 are shown. We demonstrate that the generated states are entangled states.