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• W3103188912 abstract "The study of correlations with no definite causal order has revealed a rich structure emerging when more than two parties are involved. This motivates the consideration of multipartite noncausal correlations that cannot be realised even if noncausal resources are made available to a smaller number of parties. Here we formalise this notion: genuinely N-partite noncausal correlations are those that cannot be produced by grouping N parties into two or more subsets, where a causal order between the subsets exists. We prove that such correlations can be characterised as lying outside a polytope, whose vertices correspond to deterministic strategies and whose facets define what we call 2-causal inequalities. We show that genuinely multipartite noncausal correlations arise within the process matrix formalism, where quantum mechanics holds locally but no global causal structure is assumed, although for some inequalities no violation was found. We further introduce two refined definitions that allow one to quantify, in different ways, to what extent noncausal correlations correspond to a genuinely multipartite resource." @default.
• W3103188912 created "2020-11-23" @default.
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• W3103188912 date "2017-12-14" @default.
• W3103188912 modified "2023-10-17" @default.
• W3103188912 title "Genuinely multipartite noncausality" @default.
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• W3103188912 doi "https://doi.org/10.22331/q-2017-12-14-39" @default.
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