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Full network nonlocality

Alejandro Pozas-Kerstjens, Nicolas Gisin, Armin Tavakoli

19/5/21 Published in : arXiv:2105.09325

Networks have advanced the study of nonlocality beyond Bell's theorem. Here, we introduce the concept of full network nonlocality, which describes correlations that necessitate all links in a network to distribute nonlocal resources. Showcasing that this notion is stronger than standard network nonlocality, we prove that the most well-known network Bell test does not witness full network nonlocality. In contrast, we demonstrate that its generalisation to star networks is capable of detecting full network nonlocality in quantum theory. More generally, we point out that established methods for analysing local and theory-independent correlations in networks can be combined in order to systematically deduce sufficient conditions for full network nonlocality in any network and input/output scenario. We demonstrate the usefulness of these methods by constructing polynomial witnesses of full network nonlocality for the bilocal scenario. Then, we show that these inequalities can be violated via quantum Elegant Joint Measurements.

Entire article

Phase I & II research project(s)

  • Quantum Systems

Genuine network quantum nonlocality and self-testing

Exact WKB methods in SU(2) N_f=1

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The National Centres of Competence in Research (NCCRs) are a funding scheme of the Swiss National Science Foundation

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