Polarization-momentum hyperentangled states: Realization and characterization

Abstract
We present an experimental method to engineer polarization-momentum hyperentangled two-photon states, using linear optics and a single type-I nonlinear crystal. These states have been completely characterized and their nonlocal behavior has been verified by an “all versus nothing” test of local realism, which represents a generalization of the Greenberger-Horne-Zeilinger (GHZ) to the case of two entangled particles and two observers. The manipulation of these states may represent a useful control in quantum state engineering and Bell state measurements and, more in general, in quantum information applications. DOI: http://dx.doi.org/10.1103/PhysRevA.72.052110 © 2005 The American Physical Society