Coincidence postselection for genuine multipartite nonlocality: Causal
diagrams and threshold efficiencies
- URL: http://arxiv.org/abs/2207.13579v2
- Date: Wed, 21 Dec 2022 11:30:38 GMT
- Title: Coincidence postselection for genuine multipartite nonlocality: Causal
diagrams and threshold efficiencies
- Authors: Valentin Gebhart and Augusto Smerzi
- Abstract summary: We show how to close the detection loophole for a coincidence detection in demonstrations of nonlocality and GMN.
Our results imply that genuine $N$-partite nonlocality can be generated from $N$ independent particle sources even when allowing for non-ideal detectors.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Genuine multipartite nonlocality (GMN), the strongest form of multipartite
nonlocality that describes fully collective nonlocal correlations among all
experimental parties, can be observed when different distant parties each
locally measure a particle from a shared entangled many-particle state. For the
demonstration of GMN, the experimentally observed statistics are typically
postselected: Events for which some parties do not detect a particle must be
discarded. This coincidence postselection generally leads to the detection
loophole that invalidates a proper nonlocality demonstration. In this work, we
address how to close the detection loophole for a coincidence detection in
demonstrations of nonlocality and GMN. We first show that if the number of
detected particles is conserved, i.e., using ideal and noiseless experimental
devices, one can employ causal diagrams and the no-signalling principle to
prove that a coincidence postselection cannot create any detection loophole.
Furthermore, for realistic experimental devices with finite detection
efficiencies, we show how a general Bell inequality can be sharpened such that
its new version is still valid after a postselection of the measurement data.
In this case, there are threshold detection efficiencies that, if surpassed in
the experiment, lead to the possibility to demonstrate nonlocality and GMN
without opening the detection loophole. Our results imply that genuine
$N$-partite nonlocality can be generated from $N$ independent particle sources
even when allowing for non-ideal detectors.
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