Implications of Superstrong Nonlocality for Cryptography
  Non-local boxes are hypothetical ``machines'' that give rise to superstrong non-local correlations, leading to a stronger violation of Bell/CHSH inequalities than is possible within the framework of quantum mechanics. We show how non-local boxes can be used to perform any two-party secure computation. We first construct a protocol for bit commitment and then show how to achieve oblivious transfer using non-local boxes. Both have been shown to be impossible using quantum mechanics alone. 
Harry Buhrman (1,2), Matthias Christandl (3), Falk Unger (2),   Stephanie Wehner (2), Andreas Winter (4) ((1) University of ...