Unbounded violations of bipartite Bell Inequalities via Operator Space theory

Details Unbounded violations of bipartite Bell Inequalities via Operator Space theory Unbounded violations of bipartite Bell Inequalities via Operator Space theory

2009-10-22

arxiv.org/abs/0910.4228v1

Physics

Quantum Physics

Scientific paper

In this work we show that bipartite quantum states with local Hilbert space dimension n can violate a Bell inequality by a factor of order $\sqrt{n}$ (up to a logarithmic factor) when observables with n possible outcomes are used. A central tool in the analysis is a close relation between this problem and operator space theory and, in particular, the very recent noncommutative $L_p$ embedding theory. As a consequence of this result, we obtain better Hilbert space dimension witnesses and quantum violations of Bell inequalities with better resistance to noise.

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