We consider a subgroup of unitary transformations on a mode of light induced by a Mach-Zehnder Interferometer and an algebra of observables describing a photon-number detector proceeded by an interferometer. We explore the uncertainty principles between such observables and their usefulness in performing a Bell-like experiment to show a violation of the CHSH inequality, under physical assumption that the detector distinguishes only zero from non-zero number of photons. We show which local settings of the interferometers lead to a maximal violation of the CHSH inequality.
@article{arxiv.2201.06249,
title = {Detecting Entanglement Between Modes of Light},
author = {Madhura Ghosh Dastidar and Gniewomir Sarbicki},
journal= {arXiv preprint arXiv:2201.06249},
year = {2022}
}