Classical simulation of high-dimensional entanglement by non-separable angular--radial modes

Abstract

An analogous model system for high-dimensional quantum entanglement is proposed, based on the angular and radial degrees of freedom of the improved Laguerre Gaussian mode. Experimentally, we observed strong violations of the Bell-CGLMP inequality for maximally non-separable states of dimension 2 through 10. The results for violations in classical non-separable state are in very good agreement with quantum instance, which illustrates that our scheme can be a useful platform to simulate high-dimensional non-local entanglement. Additionally, we found that the Bell measurements provide sufficient criteria for identifying mode separability in a high-dimensional space. Similar to the two-dimensional spin-orbit non-separable state, the proposed high-dimensional angular-radial non-separable state may provide promising applications for classical and quantum information processing.

The manuscript has been accepted by Opt.Express. (13 pages, 5 figures.)

References in corpus (11)

• The Quantum Internet
• Experimental quantum teleportation
• Beating the channel capacity limit for linear photonic superdense coding
• Entanglement Certification $-$ From Theory to Experiment
• Quantum walks and wavepacket dynamics on a lattice with twisted photons
• Photonic quantum walk in a single beam with twisted light
• Spin-orbit hybrid entanglement of photons and quantum contextuality
• Orbital angular momentum of photons and the entanglement of Laguerre-Gaussian modes
• Sorting photons by radial quantum number
• Full-field quantum correlations of spatially entangled photons
• Generation of the Complete Four-dimensional Bell Basis