Violation of Bell's Inequality in Electromechanics
Sebastian G. Hofer, Konrad W. Lehnert, Klemens Hammerer

TL;DR
This paper proposes a Bell test using electromechanical entangled states to challenge local realistic theories and verify entanglement without assuming quantum mechanics, leveraging current experimental capabilities.
Contribution
It introduces a novel Bell test scheme for electromechanical systems that can rule out local realistic explanations and verify entanglement device-independently.
Findings
Proposes a Bell test using electromechanical entangled states.
Parameter regimes are achievable with current technology.
Provides a method to verify entanglement without assuming quantum mechanics.
Abstract
Opto- and electromechanical systems offer an effective platform to test quantum theory and its predictions at macroscopic scales. To date, all experiments presuppose the validity of quantum mechanics, but could in principle be described by a hypothetical local statistical theory. Here we suggest a Bell test using the electromechanical Einstein-Podolski-Rosen entangled state recently generated by Palomaki et al., which would rule out any local and realistic explanation of the measured data without assuming the validity of quantum mechanics at macroscopic scales. It additionally provides a device-independent way to verify electromechanical entanglement. The parameter regime required for our scheme has been demonstrated or is within reach of current experiments.
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