title: Bell's measure and implementing quantum Fourier transform with orbital angular momentum of classical light.
abstract: We perform Bell's measurement for the non-separable correlation between polarization and orbital angular momentum from the same 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 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.
authors.affiliation: School of Physics, Beijing Institute of Technology and Beijing Key Laboratory of Fractional Signals and Systems, 100081, Beijing, China.
authors.forename: Xinbing
authors.initials: X
authors.lastname: Song
authors.affiliation: School of Physics, Beijing Institute of Technology and Beijing Key Laboratory of Fractional Signals and Systems, 100081, Beijing, China.|Department of Physics, Beijing Normal University, Beijing 100875, China.
authors.forename: Yifan
authors.initials: Y
authors.lastname: Sun
authors.affiliation: School of Physics, Beijing Institute of Technology and Beijing Key Laboratory of Fractional Signals and Systems, 100081, Beijing, China.
authors.forename: Pengyun
authors.initials: P
authors.lastname: Li
authors.affiliation: School of Physics, Beijing Institute of Technology and Beijing Key Laboratory of Fractional Signals and Systems, 100081, Beijing, China.
authors.forename: Hongwei
authors.initials: H
authors.lastname: Qin
authors.affiliation: School of Physics, Beijing Institute of Technology and Beijing Key Laboratory of Fractional Signals and Systems, 100081, Beijing, China.
authors.forename: Xiangdong
authors.initials: X
authors.lastname: Zhang