Analysis of Coincidence-Time Loopholes in Experimental Bell Tests

Abstract

We apply a distance-based Bell-test analysis method [E. Knill et al., Phys. Rev. A. 91, 032105 (2015)] to three experimental data sets where conventional analyses failed or required additional assumptions. The first is produced from a new classical source exploiting a "coincidence-time loophole" for which standard analysis falsely shows a Bell violation. The second is from a source previously shown to violate a Bell inequality; the distance-based analysis agrees with the previous results but with fewer assumptions. The third data set does not show a violation with standard analysis despite the high source quality, but is shown to have a strong violation with the distance-based analysis method.

7 pages with 6 pages of supplementary information

References in corpus (3)

• Device-independent security of quantum cryptography against collective attacks
• Testing foundations of quantum mechanics with photons
• Bell Inequalities for Continuously Emitting Sources

Cited by in corpus (8)

• Randomness extraction from Bell violation with continuous parametric down conversion
• (Nearly) optimal P-values for all Bell inequalities
• Certifying Quantum Randomness by Probability Estimation
• Quantum Randomness Generation by Probability Estimation with Classical Side Information
• Eberhardt's inequality and recent loophole-free experiments
• Tight Bounds for the Pearle-Braunstein-Caves Chained Inequality Without the Fair-Coincidence Assumption
• Are Bell's conditions for local realism general enough?
• Performance of Test Supermartingale Confidence Intervals for the Success Probability of Bernoulli Trials