RT Journal Article
T1 Unbounded violations of bipartite Bell Inequalities via Operator Space theory
A1 Junge, Marius
A1 Palazuelos Cabezón, Carlos
A1 Pérez García, David
A1 Villanueva Díez, Ignacio
A1 Wolf, Michael M.
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.
PB Springer
SN 0010-3616
YR 2010
FD 2010-12
LK https://hdl.handle.net/20.500.14352/41777
UL https://hdl.handle.net/20.500.14352/41777
LA eng
NO Junge, M., Palazuelos Cabezón, C., Pérez García, D., Villanueva Díez, I., Wolf, M. M. «Unbounded Violations of Bipartite Bell Inequalities via Operator Space Theory». Communications in Mathematical Physics, vol. 300, n.o 3, diciembre de 2010, pp. 715-39. DOI.org (Crossref), https://doi.org/10.1007/s00220-010-1125-5.
NO Unión Europea - FP7
NO Comunidad de Madrid
NO National Science Foundation (Estados Unidos)
NO Danish Center for Quantum Optics
NO Danish Natural Science Research Council
DS Docta Complutense
RD 9 abr 2025