Hardy’s paradox for high-dimensional systems
Chen, J.-L., Cabello, A., Xu, Z.-P., Su, H.-Y., Wu, C., & Kwek, L. C. (2013). Hardy's paradox for high-dimensional systems. Physical Review A, 88(6), Article 062116. https://doi.org/10.1103/PhysRevA.88.062116
Hardy’s proof is considered the simplest proof of nonlocality. Here we introduce an equally simple proof that (i) has Hardy’s as a particular case, (ii) shows that the probability of nonlocal events grows with the dimension of the local systems, and (iii) is always equivalent to the violation of a tight Bell inequality. Our proof has all the features of Hardy’s and adds the only ingredient of the Einstein-Podolsky-Rosen scenario missing in Hardy’s proof: It applies to measurements with an arbitrarily large number of outcomes.