Leggett-type nonlocal realist inequalities without any constraint on the geometrical alignment of measurement settings

Abstract

Leggett-type nonlocal realist inequalities that have been derived to date are all contingent upon suitable geometrical constraints to be strictly satisfied by the spatial arrangement of the relevant measurement settings. This undesirable restriction is removed in the present work by deriving appropriate forms of nonlocal realist inequalities, one of which involve the least number of settings compared to all such inequalities derived earlier. The way such inequalities would provide a logically firmer basis for a clearer testing of Leggett-type nonlocal realist model vis-a-vis quantum mechanics is explained.

Revised form accepted for publication in "Phys. Rev A" (7 pages, 2 figures). Revised argument presented in the last para of the proof of the theorem in Sec III (C), the results remain unchanged. A typo corrected in the Eq. (8)

References in corpus (5)

• An experimental test of non-local realism
• Testing quantum correlations versus single-particle properties within Leggett's model and beyond
• Experimental Falsification of Leggett's Non-Local Variable Model
• Hidden variable models for quantum theory cannot have any local part
• Faithful test of non-local realism with entangled coherent states

Cited by in corpus (3)

• Not all entangled states violate Leggett's crypto-nonlocality
• Experimental demonstration of the violation of the temporal Peres-Mermin inequality using contextual temporal correlations and noninvasive measurements
• Experimental Test of Leggett's Inequalities with Solid-State Spins