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Leggett-type N-partite scenarios for testing nonlocal realistic theory

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arxiv 2108.03665 v1 pith:TAML2U2F submitted 2021-08-08 quant-ph

Leggett-type N-partite scenarios for testing nonlocal realistic theory

classification quant-ph
keywords nonlocalrealisticleggett-typequantumtheoryfoundinequalitiespartite
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The nonlocal realistic theory might be the last cornerstone of classical physics confronting to the quantum theory, which was found mostly untenable in the bipartite system [Nature 446, 871 (2007)]. We extend the Leggett-type nonlocal realistic model to arbitrary $N$-partite systems with polarizer settings, and obtain some stronger inequalities to distinguish quantum mechanics from nonlocal realistic theories. For illustration, with certain measurement settings the quantum violations of Leggett-type inequalities are found for Greenberger-Horne-Zeilinger (GHZ) state. Our results, say the nonlocal realism in multipartite systems, are testable in experiment.

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