Guess Your Neighbor's Input: A Multipartite Nonlocal Game with No Quantum Advantage

Mafalda L. Almeida*, Jean-Daniel Bancal, Nicolas Brunner, Antonio Acin, Nicolas Gisin, Stefano Pironio

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

85 Citations (Scopus)


We present a multipartite nonlocal game in which each player must guess the input received by his neighbor. We show that quantum correlations do not perform better than classical ones at this game, for any prior distribution of the inputs. There exist, however, input distributions for which general no-signaling correlations can outperform classical and quantum correlations. Some of the Bell inequalities associated with our construction correspond to facets of the local polytope. Thus our multipartite game identifies parts of the boundary between quantum and postquantum correlations of maximal dimension. These results suggest that quantum correlations might obey a generalization of the usual no-signaling conditions in a multipartite setting.

Original languageEnglish
Article number230404
Number of pages4
JournalPhysical Review Letters
Issue number23
Publication statusPublished - 9 Jun 2010



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