Generation of tunable entanglement and violation of a Bell-like inequality between different degrees of freedom of a single photon

Abstract

We demonstrate a scheme to generate noncoherent and coherent correlations, i.e., a tunable degree of entanglement, between degrees of freedom of a single photon. Its nature is analogous to the tuning of the purity (first-order coherence) of a single photon forming part of a two-photon state by tailoring the correlations between the paired photons. Therefore, well-known tools such as the Clauser-Horne-Shimony-Holt (CHSH) Bell-like inequality can also be used to characterize entanglement between degrees of freedom. More specifically, CHSH inequality tests are performed, making use of the polarization and the spatial shape of a single photon. The four modes required are two polarization modes and two spatial modes with different orbital angular momentum.

arXiv comment7 pages, 5 figures. Updated to be consistent with published version

References in corpus (10)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media
• Quantum information transfer from spin to orbital angular momentum of photons
• Photonic polarization gears for ultra-sensitive angular measurements
• Complete experimental toolbox for alignment-free quantum communication
• Bell-like inequality for spin-orbit separability of a classical laser beam
• Spin-orbit hybrid entanglement of photons and quantum contextuality
• Experimental estimation of the dimension of classical and quantum systems
• Experimental implementation of a Kochen-Specker set of quantum tests
• Experimental observation of impossible-to-beat quantum advantage on a hybrid photonic system

Cited by in corpus (11)

• State transfer based on classical nonseparability
• Revealing Hidden Coherence in Partially Coherent Light
• Strong laser physics, non-classical light states and quantum information science
• Interfering trajectories in experimental quantum-enhanced stochastic simulation
• Bell inequality violation by entangled single photon states generated from a laser, a LED or a Halogen lamp
• Entropy certification of a realistic QRNG based on single-particle entanglement
• Coherent delocalization: Views of entanglement in different scenarios
• A hybrid quantum eraser scheme for characterization of free-space and fiber communication channels
• Quantum-inspired protocol for measuring the degree of similarity between spatial shapes
• Twin GHZ-states behave differently
• Observation of the full spiral spectrum of a light beam with single-pixel detection