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Local deterministic simulation of equatorial Von Neumann measurements on tripartite GHZ state
Experimental free-will or measurement independence is one of the crucial
assumptions in derivation of any nonlocal theorem. Any nonlocal correlation
obtained in quantum world can have a local deterministic explanation if there
is no experimental free-will in choosing the measurement settings. Recently, in
[Phys. Rev. Lett. {\bf105}, 250404 (2010)] it has been shown that to obtain a
local deterministic description for singlet state correlation one does not need
to give up measurement independence completely, but a partial measurement
dependence suffices. In three party scenario considering GHZ correlation one
can exhibit absolute contradiction between quantum theory and local realism. In
this paper we show that such correlation also has local deterministic
description if measurement independence is given up, even if not completely. We
provide a local deterministic model for equatorial Von Neumann measurements on
tripartite GHZ state by sacrificing measurement independence partially.Comment: Accepted in Quantum Inf Process (close to accepted version