A relevant two qubit Bell inequality inequivalent to the CHSH inequality

  title={A relevant two qubit Bell inequality inequivalent to the CHSH inequality},
  author={Daniel Geoffrey Collins and Nicolas Gisin},
  journal={Journal of Physics A},
We computationally investigate the complete polytope of Bell inequalities for two particles with small numbers of possible measurements and outcomes. Our approach is limited by Pitowsky's connection of this problem to the computationally hard NP problem. Despite this, we find that there are very few relevant inequivalent inequalities for small numbers. For example, in the case with three possible 2-outcome measurements on each particle, there is just one new inequality. We describe mixed 2… 

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