No nonlocal box is universal

No nonlocal box is universal

We show that standard nonlocal boxes, also known as Popescu-Rohrlich machines, are not sufficient to simulate any nonlocal correlations that do not allow signaling. This was known in the multipartite scenario, but we extend the result to the bipartite case. We then generalize this result further by...

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Veröffentlicht in:Journal of mathematical physics 2007-08, Vol.48 (8), p.082107-082107-7
Hauptverfasser: Dupuis, Frédéric, Gisin, Nicolas, Hasidim, Avinatan, Méthot, André Allan, Pilpel, Haran
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
Mathematical methods in physics
Mathematics
Physics
Sciences and techniques of general use
Studies
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Zusammenfassung:We show that standard nonlocal boxes, also known as Popescu-Rohrlich machines, are not sufficient to simulate any nonlocal correlations that do not allow signaling. This was known in the multipartite scenario, but we extend the result to the bipartite case. We then generalize this result further by showing that no finite set containing any finite-output-alphabet nonlocal boxes can be a universal set for nonlocality.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.2767538