Partial self-testing and randomness certification in the triangle network
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arXiv
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| Format: | Preprint |
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2022
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| _version_ | 1866910819205251072 |
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| author | Sekatski, Pavel Boreiri, Sadra Brunner, Nicolas |
| author_facet | Sekatski, Pavel Boreiri, Sadra Brunner, Nicolas |
| contents | Quantum nonlocality can be demonstrated without inputs (i.e. each party using a fixed measurement setting) in a network with independent sources. Here we consider this effect on ring networks, and show that the underlying quantum strategy can be partially characterized, or self-tested, from observed correlations. Applying these results to the triangle network allows us to show that the nonlocal distribution of Renou et al. [Phys. Rev. Lett. 123, 140401 (2019)] requires that (i) all sources produce a minimal amount of entanglement, (ii) all local measurements are entangled, and (iii) each local outcome features a minimal entropy. Hence we show that the triangle network allows for genuine network quantum nonlocality and certifiable randomness. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2209_09921 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Partial self-testing and randomness certification in the triangle network Sekatski, Pavel Boreiri, Sadra Brunner, Nicolas Quantum Physics Quantum nonlocality can be demonstrated without inputs (i.e. each party using a fixed measurement setting) in a network with independent sources. Here we consider this effect on ring networks, and show that the underlying quantum strategy can be partially characterized, or self-tested, from observed correlations. Applying these results to the triangle network allows us to show that the nonlocal distribution of Renou et al. [Phys. Rev. Lett. 123, 140401 (2019)] requires that (i) all sources produce a minimal amount of entanglement, (ii) all local measurements are entangled, and (iii) each local outcome features a minimal entropy. Hence we show that the triangle network allows for genuine network quantum nonlocality and certifiable randomness. |
| title | Partial self-testing and randomness certification in the triangle network |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2209.09921 |