Abstract
In this paper, a scheme for N-photon Greenberger---Horne---Zeilinger (GHZ) state analysis using hyperentangled states in multiple degrees of freedom with only linear optics and single photon detectors is proposed. The photons are separated and processed in different processing units. All the eight GHZ-states in either the polarization or the momentum degree of freedom can be completely distinguished. The scheme is implementable using present-day technology.
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