On the minimum dimension of a Hilbert space needed to generate a quantum correlation

@article{Sikora2016OnTM,
  title={On the minimum dimension of a Hilbert space needed to generate a quantum correlation},
  author={Jamie Sikora and Antonios Varvitsiotis and Zhaohui Wei},
  journal={Physical review letters},
  year={2016},
  volume={117 6},
  pages={
          060401
        }
}
Consider a two-party correlation that can be generated by performing local measurements on a bipartite quantum system. A question of fundamental importance is to understand how many resources, which we quantify by the dimension of the underlying quantum system, are needed to reproduce this correlation. In this Letter, we identify an easy-to-compute lower bound on the smallest Hilbert space dimension needed to generate a given two-party quantum correlation. We show that our bound is tight on… 
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