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.
Highlights
We perform Bell’s measurement for the non-separable correlation between polarization and orbital angular momentum from the same classical vortex beam
After the polarizing beam splitter (PBS), the light beam is divided into two intensity equaled parts for the two paths with horizontal (h) and vertical (v) polarizations, respectively
The two polarized vortex beams in two paths are combined by a beam splitter (BS), and the output of the vortex beam can be expressed as
Summary
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. Bell-like inequality for the spin-orbit separability of a laser beam has been discussed[7], direct Bell’s measurement for the non-separable correlation between polarizations and OAM from the same classical vortex beam has not been done. Because the vortex beam can carry OAM with any mode number, such properties are expected to have more extensive application Based on such a non-quantum entanglement, we implement the quantum Fourier transform (QFT), which is the crucial final step in Shor’s algorithm[24,25,26,27,28,29,30]. We hope that our study could be an important reference for both classical and quantum information processing
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