Reference frames for Bell inequality violation in the presence of superselection rules
Tomasz Paterek, Paweł Kurzyński, Daniel K. L. Oi, Dagomir Kaszlikowski · Strathprints: The University of Strathclyde institutional repository (University of Strathclyde) · 2011
Superselection rules (SSRs) constrain the allowed states and operations in quantum theory. They limit preparations and measurements and hence impact our ability to observe non-locality, in particular the violation of Bell inequalities. We show that a reference frame compatible with a particle number SSR does not allow observers to violate a Bell inequality if and only if it is prepared using only local operations and classical communication. In particular, jointly prepared separable reference frames are sufficient for obtaining violations of a Bell inequality. We study the size and non-local properties of such reference frames using superselection-induced variance. These results suggest the need for experimental Bell tests in the presence of superselection.