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We show that Tsirelson's problem concerning the set of quantum correlations and Connes' embedding problem on finite approximations in von Neumann algebras (known to be equivalent to Kirchberg's QWEP conjecture) are essentially equivalent.
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T. Fritz, Tsirelson’s problem and Kirchberg’s conjecture , preprint, 2010
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M. Junge and C. Palazuelos, Large violation of Bell inequalities with low entanglement , arXiv/1007.3043, 2010
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M. Junge, C. Palazuelos, D. Pérez-García, I. Villanueva, and M.M. Wolf, Operator spaces: a natural language for Bell inequalities , To appear in Phys. Rev. Lett. (2010)
2010
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