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Recursive analytical technique for the quantum analysis of a Clauser-Horne-Shimony-Holt parameter reduction

Richard A. Brewster1,*, Gerald Baumgartner2, Anne Marie Richards2, and Yanne K. Chembo1

  • 1Institute for Research in Electronics & Applied Physics, University of Maryland, College Park, Maryland 20742, USA
  • 2Laboratory for Telecommunication Sciences, 8080 Greenmead Drive, College Park, Maryland 20740, USA

  • *Contact author: rbrew1@umd.edu
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Phys. Rev. Research 8, 033075 – Published 17 July, 2026

DOI: https://doi.org/10.1103/54vq-h8js

Abstract

An analytic technique for the investigation of the combined impacts of multiple photon pairs and a non-negligible joint spectral density on the measurement of a Clauser-Horne-Shimony-Holt (CHSH) parameter is introduced. We demonstrate this technique for an asymmetric Gaussian-normal joint spectral density of spontaneous parametric down-converted photons using two different techniques for generating polarization entanglement. We find that the correlation of the joint spectral density can improve the CHSH parameter for certain ranges of the squeezing parameter when the polarization-entangled state is generated using a beam-splitter technique. Additionally, we find that the impacts due to the correlation of the joint spectral density are made worse when asymmetry is present in the joint spectral density.

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Phys. Rev. Research 8, 033075– Published 17 July, 2026
  • Received 5 February 2026
  • Accepted 1 July 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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