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

Mafalda L. Almeida, Jean-Daniel Bancal, Nicolas Brunner, Antonio Acín, Nicolas Gisin, and Stefano Pironio
Phys. Rev. Lett. 104, 230404 – Published 9 June 2010
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Abstract

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.

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  • Received 10 April 2010

DOI:https://doi.org/10.1103/PhysRevLett.104.230404

©2010 American Physical Society

Synopsis

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Quantum guessing games

Published 14 June 2010

Multiplayer quantum games reveal a class of nonlocal correlations stronger than in either purely quantum or purely classical scenarios.

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Authors & Affiliations

Mafalda L. Almeida1, Jean-Daniel Bancal2, Nicolas Brunner3, Antonio Acín1,4, Nicolas Gisin2, and Stefano Pironio5

  • 1ICFO-Institut de Ciencies Fotoniques, E-08860 Castelldefels, Barcelona, Spain
  • 2GAP-Optique, Université de Genève, CH-1211 Geneva, Switzerland
  • 3H. H. Wills Physics Laboratory, University of Bristol, Bristol, BS8 1TL, United Kingdom
  • 4ICREA-Institució Catalana de Recerca i Estudis Avançats, E-08010 Barcelona, Spain
  • 5Laboratoire d’Information Quantique, Université Libre de Bruxelles, 1050 Bruxelles, Belgium

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Issue

Vol. 104, Iss. 23 — 11 June 2010

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