  We perform Bell's measurement and perform quantum Fourier transform with the
classical vortex beam. The violation of Bell's inequality for such a
non-separable classical correlation has been demonstrated experimentally. Based
on the classical vortex beam and nonquantum entanglement between the
polarization and orbital angular momentum, the Hadamard gates and conditional
phase gates have been designed. Furthermore, a quantum Fourier transform has
been implemented experimentally, which is the crucial final step in Shor's
algorithm
