TY - JOUR
T1 - Unbounded Violations of Bipartite Bell Inequalities via Operator Space Theory
AU - Junge, M.
AU - Palazuelos, C.
AU - Pérez-García, D.
AU - Villanueva, I.
AU - Wolf, M. M.
PY - 2010/12
Y1 - 2010/12
N2 - 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.
AB - 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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U2 - 10.1007/s00220-010-1125-5
DO - 10.1007/s00220-010-1125-5
M3 - Article
AN - SCOPUS:78149500834
VL - 300
SP - 715
EP - 739
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
SN - 0010-3616
IS - 3
ER -