Bell nonlocality with intensity information only

• URL: http://arxiv.org/abs/2004.13443v3
• Date: Tue, 1 Sep 2020 15:23:39 GMT
• Title: Bell nonlocality with intensity information only
• Authors: Ari Patrick, Ad\'an Cabello
• Abstract summary: We address the problem of detecting Bell nonlocality when the only experimental information is produced by an unknown number of particles. We show that, although Bell nonlocality decreases as the number of particles increases, if the parties can distinguish arbitrarily small differences of intensities. We show that this prediction can be tested with current equipment in a Bell experiment where pairing information is physically removed.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We address the problem of detecting bipartite Bell nonlocality whenever the only experimental information are the intensities produced in each run of the experiment by an unknown number of particles. We point out that this scenario naturally occurs in Bell experiments with parametric down-conversion when the crystal is pumped by strong pulses, in Bell tests with distant sources and in which particles suffer different delays during their flight, in Bell experiments using living cells as photo detectors, and in Bell experiments where the pairing information is physically removed. We show that, although Bell nonlocality decreases as the number of particles increases, if the parties can distinguish arbitrarily small differences of intensities and the visibility is larger than $0.98$, then Bell nonlocality can still be experimentally detected with fluxes of up to $15$ particles. We show that this prediction can be tested with current equipment in a Bell experiment where pairing information is physically removed, but requires the assumption of fair sampling.

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