Single particle nonlocality with completely independent reference states

Abstract

We describe a scheme to demonstrate the nonlocal properties of a single particle by showing a violation of Bell's inequality. The scheme is experimentally achievable as the only inputs are number states and mixed states, which serve as references to `keep track of the experiment'. These reference states are created completely independently of one another and correlated only after all the measurement results have been recorded. This means that any observed nonlocality must solely be due to the single particle state. All the techniques used are equally applicable to massive particles as to photons and as such this scheme could be used to show the nonlocality of atoms.

10 pages, 5 figures

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• Essential entanglement for atomic and molecular physics
• Extreme nonlocality with one photon
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• Bell-inequality test of spatial mode entanglement of a single massive particle
• Deterministic teleportation using single-photon entanglement as a resource
• Bell's experiment with intra- and inter-pair entanglement: Single-particle mode entanglement as a case study
• On detecting violation of local realism with photon-number resolving weak-field homodyne measurements
• Single-photon quantum nonlocality: Violation of the Clauser-Horne-Shimony-Holt inequality using feasible measurement setups
• Comment on `Single particle nonlocality with completely independent reference states'
• Three-particle Bell-like inequalities under Lorentz transformations
• CHSH Bell Tests For Optical Hybrid Entanglement
• Relativistic three-partite non-locality
• One and two spin$-1/2$ particles systems under Lorentz transformations
• The shadows of quantum gravity on Bell's inequality