Junge, M. and Pérez García, David and Palazuelos Cabezón, Carlos and Villanueva, Ignacio and Wolf, Michael (2009) Unbounded violations of bipartite Bell Inequalities via Operator Space theory. (Submitted)

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Official URL: http://arxiv.org/abs/0910.4228
Abstract
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.
Item Type:  Article 

Uncontrolled Keywords:  Teoría cuántica, Quantum Physics 
Subjects:  Sciences > Physics > Mathematical physics Sciences > Physics > Quantum theory 
ID Code:  12161 
Deposited On:  03 Feb 2011 09:18 
Last Modified:  06 Feb 2014 09:18 
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