No nonlocal box is universal
arXiv:quant-ph/0701142 · doi:10.1063/1.2767538
Abstract
We show that standard nonlocal boxes, also known as Popescu-Rohrlich machines, are not sufficient to simulate any nonlocal correlations that do not allow signalling. 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.
Additions to the acknowledgements section
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- Closing Bell: Boxing black box simulations in the resource theory of contextuality
- Algebra of Nonlocal Boxes and the Collapse of Communication Complexity
- New assessment on the nonlocality of correlation boxes
- Universal Bell Correlations Do Not Exist