A local hidden-variable model for experimental tests of the GHZ puzzle
arXiv:2104.14503 · doi:10.1007/s40509-016-0073-y
Abstract
The Greenberger-Horne-Zeilinger (GHZ) puzzle has been used to study quantum nonlocality and provide an all-or-nothing, no-go theorem for local hidden-variable models. Recent experiments using coincident-detected entangled photons prepared in a three-particle GHZ state have been used to test quantum nonlocality, but fail to rule out local realism due to a reliance on the fair-sampling hypothesis and insufficient detection efficiency. This paper describes a physically motivated local hidden-variable model based on amplitude-threshold detection that is capable of producing similar results. Detection efficiencies for the model are within the bounds permitted for local realism and, interestingly, exhibit statistical correlations between detectors, even when the detection events are spacelike separated. Increasing the detection threshold improves agreement with the ideal quantum predictions at the cost of decreased detection efficiency. A curious emergent feature of the model is that detection efficiencies may depend upon which observables are chosen for measurement.
References in corpus (12)
- Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
- Violation of Bell's inequality under strict Einstein locality conditions
- Hidden Variables and the Two Theorems of John Bell
- Bell violation with entangled photons, free of the fair-sampling assumption
- Detection-Loophole-Free Test of Quantum Nonlocality, and Applications
- Violation of local realism with freedom of choice
- Direct generation of three-photon polarization entanglement
- Experimental Three-Particle Quantum Nonlocality under Strict Locality Conditions
- Necessary and sufficient detection efficiency for the Mermin inequalities
- Quantum contextuality in the Mermin-Peres square: A hidden variable perspective
- A locally deterministic, detector-based model of quantum measurement
- Classical model for measurements of an entanglement witness