Physics – Quantum Physics
Scientific paper
2006-12-03
Phys. Rev. Lett. 100, 120406 (2008)
Physics
Quantum Physics
Introduction shortened, small changes, including new results for dimension of Hilbert space bigger than number of outcomes; 4
Scientific paper
We present a much simplified version of the CGLMP inequality for the 2 x 2 x d Bell scenario. Numerical maximization of the violation of this inequality over all states and measurements suggests that the optimal state is far from maximally entangled, while the best measurements are the same as conjectured best measurements for the maximally entangled state. For very large values of d the inequality seems to reach its minimal value given by the probability constraints. This gives numerical evidence for a tight quantum Bell inequality (or generalized Csirelson inequality) for the 2 x 2 x inf scenario.
Gill Richard D.
Zohren Stefan
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