Bell Experiments with Random Destination Sources
F. Sciarrino, G. Vallone, A. Cabello, P. Mataloni

TL;DR
This paper shows that Bell experiments using random destination sources can be free of common loopholes, enabling more practical and flexible long-distance quantum nonlocality tests with simpler setups.
Contribution
It demonstrates methods to perform loophole-free Bell tests with random destination sources, expanding their applicability in quantum nonlocality experiments.
Findings
Bell experiments with RDS can avoid postselection loophole with perfect detectors.
Loophole-free Bell tests are possible with RDS and local postselection under fair sampling.
Detection efficiency thresholds can be set to close the detection loophole with RDS.
Abstract
It is generally assumed that sources sending randomly two particles to one or two different observers, named here random destination sources (RDS), cannot by used for genuine quantum nonlocality tests because of the postselection loophole. We demonstrate that Bell experiments not affected by the postselection loophole may be performed with: (i) RDS and local postselection using perfect detectors, (ii) RDS, local postselection, and fair sampling assumption with any detection efficiency, and (iii) RDS and a threshold detection efficiency required to avoid the detection loophole. These results allow the adoption of RDS setups, which are more simple and efficient, for long-distance free-space Bell tests, and extends the range of physical systems which can be used for loophole-free Bell tests.
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