Bells measure and implementing quantum Fourier transform with orbital angular momentum of classical light

We perform Bells measurement for the non-separable correlation between polarization and orbital angular momentum from the same classical vortex beam. The violation of Bells inequality for such a non-separable classical correlation has been demonstrated experimentally. Based on the classical vortex beam and non-quantum entanglement between the polarization and the orbital angular momentum, the Hadamard gates and conditional phase gates have been designed. Furthermore, a quantum Fourier transform has been implemented experimentally.