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Abstract: Superselection rules SSRs constrain the allowed states and operations inquantum theory. They limit preparations and measurements hence impact upon ourability to observe non-locality, in particular the violation of Bellinequalities. We show that a reference frame compatible with a particle numberSSR does not allow observers to violate a Bell inequality if and only if it isprepared using only local operations and classical communication. Inparticular, jointly prepared separable reference frames are sufficient forobtaining violations of a Bell inequality. We study the size and non-localproperties of such reference frames using superselection-induced variance.These results suggest the need for experimental Bell tests in the presence ofsuperselection.



Autor: T. Paterek, P. Kurzynski, D. K. L. Oi, D. Kaszlikowski

Fuente: https://arxiv.org/







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