RT Journal Article
T1 Operator Space theory: a natural framework for Bell inequalities
A1 Junge, M.
A1 Pérez García, David
A1 Palazuelos Cabezón, Carlos
A1 Villanueva Díez, Ignacio
A1 Wolf, Michael
AB In this letter we show that the field of Operator Space Theory provides a general and powerful mathematical framework for arbitrary Bell inequalities, in particular regarding the scaling of their violation within quantum mechanics. We illustrate the power of this connection by showing that bipartite quantum states with local Hilbert space dimension n can violate a Bell inequality by a factor of order $\frac{\sqrt{n}}{\log^2n}$ when observables with n possible outcomes are used. Applications to resistance to noise, Hilbert space dimension estimates and communication complexity are given.
PB American Physical Society
SN 0031-9007
YR 2009
FD 2009
LK https://hdl.handle.net/20.500.14352/49542
UL https://hdl.handle.net/20.500.14352/49542
LA eng
NO Junge, M., Pérez García, D., Palazuelos Cabezón, C. et al. «Operator Space Theory: A Natural Framework for Bell Inequalities». Physical Review Letters, vol. 104, n.o 17, abril de 2010, p. 170405. DOI.org (Crossref), https://doi.org/10.1103/PhysRevLett.104.170405.
NO Short (non-technical) version
NO Unión Europea
NO QUANTOP
NO e Danish Natural Science Research Council
DS Docta Complutense
RD 21 abr 2025