Guess your neighbour's input: a multipartite non-local game with no quantum advantage

Details Guess your neighbour's input: a multipartite non-local game with no quantum advantage Guess your neighbour's input: a multipartite non-local game with no quantum advantage

2010-03-19

arxiv.org/abs/1003.3844v1

Phys. Rev. Lett. 104, 230404 (2010)

Physics

Quantum Physics

4+3 pages; 1 figure

Scientific paper

10.1103/PhysRevLett.104.230404

We present a multipartite nonlocal game in which each player must guess the input received by his neighbour. 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-signalling correlations can outperform classical and quantum correlations. Some of the Bell inequalities associated to our construction correspond to facets of the local polytope. Thus our multipartite game identifies parts of the boundary between quantum and post-quantum correlations of maximal dimension. These results suggest that quantum correlations might obey a generalization of the usual no-signalling conditions in a multipartite setting.

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