Bell nonlocality in quantum networks with unreliable sources: Loophole-free postelection via self-testing
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866917136085024768 |
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| author | Boreiri, Sadra Brunner, Nicolas Sekatski, Pavel |
| author_facet | Boreiri, Sadra Brunner, Nicolas Sekatski, Pavel |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_14027 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bell nonlocality in quantum networks with unreliable sources: Loophole-free postelection via self-testing Boreiri, Sadra Brunner, Nicolas Sekatski, Pavel Quantum Physics 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. |
| title | Bell nonlocality in quantum networks with unreliable sources: Loophole-free postelection via self-testing |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2501.14027 |