A local variable model for entanglement swapping exploiting the detection loophole

Abstract

In an entanglement swapping process two initially uncorrelated qubits become entangled, without any direct interaction. We present a model using local variables aiming at reproducing this remarkable process, under the realistic assumption of finite detection efficiencies. The model assumes that the local variables describing the two qubits are initially completely uncorrelated. Nevertheless, we show that once conditioned on the Bell measurement result, the local variables bear enough correlation to simulate quantum measurement results with correlation very close to the quantum prediction. When only a partial Bell measurement is simulated, as carried out is all experiments so far, then the model recovers analytically the quantum prediction.

5 pages, 5 figures

References in corpus (2)

• Experimental Nonlocality Proof of Quantum Teleportation and Entanglement Swapping
• Implications of Teleportation for Nonlocality

Cited by in corpus (8)

• Bell nonlocality
• Characterizing the nonlocal correlations of particles that never interacted
• Bilocal versus non-bilocal correlations in entanglement swapping experiments
• Local hidden--variable models for entangled quantum states
• Correlations In n-local Scenario
• Various quantum nonlocality tests with a simple 2-photon entanglement source
• Remote Sampling with Applications to General Entanglement Simulation
• Entanglement swapping, light cones and elements of reality