RT Journal Article
T1 Bell inequalities from multilinear contractions
A1 Wolf, Michael
A1 Pérez García, David
A1 Salles, Alejo
A1 Cavalcanti, Daniel
A1 Acín, Antonio
AB We provide a framework for Bell inequalities which is based on multilinear contractions. The derivation of the inequalities allows for an intuitive geometric depiction and their violation within quantum mechanics can be seen as a direct consequence of non-vanishing commutators. The approach is motivated by generalizing recent work on non-linear inequalities which was based on the moduli of complex numbers, quaternions and octonions. We extend results on Peres’ conjecture about the validity of Bell inequalities for quantum states with positive partial transposes. Moreover, we show the possibility of obtaining unbounded quantum violations albeit we also prove that quantum mechanics can only violate the derived inequalities if three or more parties are involved.
PB Rinton Press
SN 1533-7146
YR 2010
FD 2010
LK https://hdl.handle.net/20.500.14352/41899
UL https://hdl.handle.net/20.500.14352/41899
LA eng
NO Unión Europea. FP7
NO QUANTOP
NO e Danish Research Council (FNU)
DS Docta Complutense
RD 21 abr 2025