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Violation of a Bell inequality in two-dimensional spin-orbit hypoentangled subspaces

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Abstract

Based on spin-orbit coupling induced by q-plates, we present a feasible experimental proposal for preparing two-dimensional spatially inhomogeneous polarizations of light. We further investigate the quantum correla tions between these inhomogeneous polarizations of photon pairs generated by spontaneous parametric downconversion, which in essence describe the so-called hypoentanglement that is established between composite spin-orbit variables of photons. The violation of the Clauser–Horne–Shimony–Holt–Bell inequality is predicted with S=22 to illustrate the entangled nature of the cylindrical symmetry of spatially inhomogeneous polarizations.

© 2011 Optical Society of America

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