%0 Journal Article
%A Villanueva, Ignacio
%A Junge, Marius
%A Pérez García, David
%A Wolf, Michael
%A Palazuelos Cabezón, Carlos
%T Unbounded violations of bipartite Bell Inequalities via Operator Space theory
%D 2010
%@ 0010-3616
%U https://hdl.handle.net/20.500.14352/41777
%X 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 Ω(√n∕Log2n)  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 Lp 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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