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We construct a non-locality game that can be won with certainty by a quantum strategy using log n shared EPR-pairs, while any classical strategy has winning probability at most 1/2+O(log n/sqrt{n}).
Can quantum-mechanical description of physical reality be considered complete?
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D. Gavinsky, J. Kempe, O. Regev, and R. de Wolf · 2009
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M. Junge, C. Palazuelos, D. Perez-Garcia, I. Villanueva, and M. Wolf · 2009
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