Using Linear Programming to Construct Better Criteria for Closing the Detection Loophole in Epr Experiments

TL;DR

This paper formulates closing the detection loophole in EPR experiments as a constrained optimization problem, enabling the determination of detector efficiencies that rule out local realist explanations.

Contribution

It introduces a novel optimization-based approach to identify detector efficiencies that close the detection loophole in quantum experiments.

Findings

Maximized detector efficiency thresholds for closing the loophole

Provided a computational method to test local realist explanations

Enhanced understanding of conditions needed for loophole-free EPR tests

Abstract

I formulate the problem of closing the detection loophole as a constrained optimization problem. Numerical methods can then be used to maximize the detector efficiency subject to the constraint that there exists a local realist explanation for the quantum correlations observed in the EPR experiment in question. Any detector efficiency larger than this maximum rules out all local realist explanations, and hence closes the detection loophole.