Related papers: Bell nonlocality in quantum networks with unreliable sources: Loophole-free postelection via self-testing

Bell nonlocality in quantum networks with unreliable sources: Loophole-free postelection via self-testing

URL: http://arxiv.org/abs/2501.14027v1
Date: Thu, 23 Jan 2025 19:00:07 GMT
Title: Bell nonlocality in quantum networks with unreliable sources: Loophole-free postelection via self-testing
Authors: Sadra Boreiri, Nicolas Brunner, Pavel Sekatski,
Abstract summary: We discuss Bell nonlocality in quantum networks with unreliable sources. We characterize the fair-sampling property for measurements in a network. In some cases, the fair-sampling property can in fact be guaranteed based only on observed data.
Score: 0.49157446832511503
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Abstract: We discuss Bell nonlocality in quantum networks with unreliable sources. Our main result is a condition on the observed data which ensures that inconclusive events can be safely discarded, without introducing any loophole. More formally, we characterize the fair-sampling property for measurements in a network. When all measurements are fair-sampling, we show that the post-selection of conclusive outcomes does not compromise the assumption of source independence, hence avoiding the detection loophole. Furthermore, we show that in some cases, the fair-sampling property can in fact be guaranteed based only on observed data. To show this, we prove that saturation of the Finner inequality provides a self-test of the underlying quantum model. We illustrate the relevance of our results by demonstrating an improvement in device-independent randomness generation for a photonic Bell test with a probabilistic source and for the triangle network.

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