Violations of Bell Inequalities for Measurements with Macroscopic Uncertainties: What does it Mean to Violate Macroscopic Local Realism?

Abstract

We suggest to test the premise of ``macroscopic local realism'' which is sufficient to derive Bell inequalities when measurements of photon number are only accurate to an uncertainty of order $n$ photons, where $n$ is macroscopic. Macroscopic local realism is only sufficient to imply, in the context of the original Einstein-Podolsky-Rosen argument, fuzzy ``elements of reality'' which have a macroscopic indeterminacy. We show therefore how the violation of local realism in the presence of macroscopic uncertainties implies the failure of ``macroscopic local realism''. Quantum states violating this macroscopic local realism are presented.

28 pages, 5 figures- new version is unchanged but tightened-20 pages, 5 figures

References in corpus (3)

• Contradiction of Quantum Mechanics with Local Hidden Variables for Continuous Variable Quadrature Phase Amplitude Measurements
• Optimal States for Bell inequality Violations using Quadrature Phase Homodyne Measurements
• Macroscopic Local Realism Incompatible with Quantum Mechanics: Failure of Local Realism where Measurements give Macroscopic Uncertainties

Cited by in corpus (8)

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• Signifying the Schrodinger cat in the context of testing macroscopic realism
• Decoherence-Free Emergence of Macroscopic Local Realism for entangled photons in a cavity
• Bell's Theorem and Locality in Space
• Mesoscopic and macroscopic quantum correlations in photonic, atomic and optomechanical systems