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

TL;DR

This paper derives new Leggett-type nonlocal realist inequalities that do not depend on geometrical constraints, simplifying experimental testing of nonlocal realism versus quantum mechanics.

Contribution

The authors present the first Leggett-type inequalities free from geometrical constraints and with minimal measurement settings, enhancing the robustness of nonlocal realism tests.

Findings

Derived geometrically unconstrained inequalities

Reduced the number of measurement settings needed

Provided a clearer framework for testing nonlocal realism

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.