Partial self-testing and randomness certification in the triangle network

• URL: http://arxiv.org/abs/2209.09921v2
• Date: Fri, 14 Oct 2022 15:26:01 GMT
• Title: Partial self-testing and randomness certification in the triangle network
• Authors: Pavel Sekatski, Sadra Boreiri, Nicolas Brunner
• Abstract summary: Quantum nonlocality can be demonstrated without inputs in a network with independent sources. We show that the triangle network allows for genuine network quantum nonlocality and certifiable randomness.
• Score: 1.0312968200748118
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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