Implications of superstrong non-locality for cryptography
Harry Buhrman, Matthias Christandl, Falk Unger, Stephanie Wehner, Andreas J. Winter · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · 2006
Non-local boxes are hypothetical ‘machines’ that give rise to superstrong non-local correlations, leading to a stronger violation of Bell/Clauser, Horne, Shimony & Holt 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.