Towards loophole-free Bell inequality test with preselected unsymmetrical singlet states of light

TL;DR

This paper explores a method to perform a loophole-free Bell test using unsymmetrical polarization singlet states of light, employing preselection and imperfect detection to improve CHSH inequality violation.

Contribution

It introduces a preselection scheme that enhances Bell inequality violation with micro-macro polarization singlets, enabling tests with imperfect detectors without detection loopholes.

Findings

Preselection improves CHSH violation in micro-macro singlets.

Quantum filtering can be effective for Bell tests with imperfect detection.

Method potentially enables loophole-free Bell tests with current technology.

Abstract

Can a Bell test with no detection loophole be demonstrated for multi-photon entangled states of light within the current technology? We examine the possibility of a postselection-free CHSH-Bell inequality test wih an unsymmetrical polarization singlet. To that end we employ a preselection procedure which is performed prior to the test. It allows using imperfect (coarse-grained) binary photodetection in the test. We show an example of preselection scheme which improves violation of the CHSH inequality with the micro-macro polarization singlet produced by the optimal quantum cloning. The preselection is realized by a quantum filter which is believed to be not useful for this purpose.