Related papers: Hierarchical certification of non-classical network correlations

Hierarchical certification of non-classical network correlations

URL: http://arxiv.org/abs/2306.15717v3
Date: Thu, 18 Jan 2024 10:14:34 GMT
Title: Hierarchical certification of non-classical network correlations
Authors: Ming-Xing Luo, Xue Yang, Alejandro Pozas-Kerstjens
Abstract summary: We derive linear and non-linear Bell-like inequalities for networks, whose violation certifies the absence of a minimum number of classical sources in them. We do so, without assuming that nature is ultimately governed by quantum mechanics, providing a hierarchy interpolating between network nonlocality and full network nonlocality.
Score: 54.9796002159688
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: With the increased availability of quantum technological devices, it becomes fundamental to have tools to guarantee their correct non-classical behavior. This is especially important for quantum networks, which constitute the platforms where multipartite cryptographic protocols will be implemented, and where guarantees of non-classicality translate into security proofs. We derive linear and non-linear Bell-like inequalities for networks, whose violation certifies the absence of a minimum number of classical sources in them. We do so, firstly, without assuming that nature is ultimately governed by quantum mechanics, providing a hierarchy interpolating between network nonlocality and full network nonlocality. Secondly we insert this assumption, which leads to results more amenable to certification in experiments.

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