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We demonstrate Einstein-Podolsky-Rosen (EPR) entanglement by detecting purelyspatial quantum correlations in the near and far fields of spontaneousparametric down-conversion generated in a type-2 beta barium borate crystal.Full-field imaging is performed in the photon-counting regime with anelectron-multiplying CCD camera. The data are used without any postselection,and we obtain a violation of Heisenberg inequalities with inferred quantitiestaking into account all the biphoton pairs in both the near and far fields byintegration on the entire two-dimensional transverse planes. This ensures arigorous demonstration of the EPR paradox in its original position momentumform.

Realization of the purely spatial Einstein-Podolsky-Rosen paradox in full-field images of spontaneous parametric down conversion