Estimation of the CHSH Parameter Using HOM Interference

The Clauser–Horne–Shimony–Holt (CHSH) experiment is an essential test of nonlocality in quantum mechanics and can be used to validate the principle of entanglement. In addition to verifying entanglement, the measurable CHSH parameter can also be used to gauge the qua...

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Main Authors: Richard A. Brewster, Julius Goldhar, Mark Morris, Gerald Baumgartner, Yanne K. Chembo
Format: Article
Language:English
Published: IEEE 2022-01-01
Series:IEEE Transactions on Quantum Engineering
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9716782/
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author Richard A. Brewster
Julius Goldhar
Mark Morris
Gerald Baumgartner
Yanne K. Chembo
author_facet Richard A. Brewster
Julius Goldhar
Mark Morris
Gerald Baumgartner
Yanne K. Chembo
author_sort Richard A. Brewster
collection DOAJ
description The Clauser&#x2013;Horne&#x2013;Shimony&#x2013;Holt (CHSH) experiment is an essential test of nonlocality in quantum mechanics and can be used to validate the principle of entanglement. In addition to verifying entanglement, the measurable CHSH parameter can also be used to gauge the quality of the entanglement present in a system. The measurement of Hong&#x2013;Ou&#x2013;Mandel (HOM) interference is another important fundamental experiment in quantum optics that measures the indistinguishability of a pair of photons. In this article, we demonstrate how the results of a HOM interference experiment, a relatively simple experiment, can be used to obtain an estimate for the value of the CHSH <inline-formula><tex-math notation="LaTeX">$S$</tex-math></inline-formula> parameter, which is a more complicated measurement. We experimentally demonstrate that the HOM interference technique is capable of providing an estimate of the value of the CHSH parameter that is within one standard deviation of measurement error when spectral impairments are present. We expect that this technique will aid in the calibration of quantum optical systems.
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spelling doaj.art-71394a4d6df145ea96569cbc96489f842022-12-23T00:01:05ZengIEEEIEEE Transactions on Quantum Engineering2689-18082022-01-01311010.1109/TQE.2022.31521709716782Estimation of the CHSH Parameter Using HOM InterferenceRichard A. Brewster0https://orcid.org/0000-0001-6152-763XJulius Goldhar1Mark Morris2Gerald Baumgartner3Yanne K. Chembo4https://orcid.org/0000-0002-8375-0020Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, MD, USADepartment of Electrical and Computer Engineering, University of Maryland, College Park, MD, USALaboratory for Telecommunication Sciences, College Park, MD, USALaboratory for Telecommunication Sciences, College Park, MD, USAInstitute for Research in Electronics and Applied Physics, University of Maryland, College Park, MD, USAThe Clauser&#x2013;Horne&#x2013;Shimony&#x2013;Holt (CHSH) experiment is an essential test of nonlocality in quantum mechanics and can be used to validate the principle of entanglement. In addition to verifying entanglement, the measurable CHSH parameter can also be used to gauge the quality of the entanglement present in a system. The measurement of Hong&#x2013;Ou&#x2013;Mandel (HOM) interference is another important fundamental experiment in quantum optics that measures the indistinguishability of a pair of photons. In this article, we demonstrate how the results of a HOM interference experiment, a relatively simple experiment, can be used to obtain an estimate for the value of the CHSH <inline-formula><tex-math notation="LaTeX">$S$</tex-math></inline-formula> parameter, which is a more complicated measurement. We experimentally demonstrate that the HOM interference technique is capable of providing an estimate of the value of the CHSH parameter that is within one standard deviation of measurement error when spectral impairments are present. We expect that this technique will aid in the calibration of quantum optical systems.https://ieeexplore.ieee.org/document/9716782/Quantum communicationquantum entanglementoptical interferometry
spellingShingle Richard A. Brewster
Julius Goldhar
Mark Morris
Gerald Baumgartner
Yanne K. Chembo
Estimation of the CHSH Parameter Using HOM Interference
IEEE Transactions on Quantum Engineering
Quantum communication
quantum entanglement
optical interferometry
title Estimation of the CHSH Parameter Using HOM Interference
title_full Estimation of the CHSH Parameter Using HOM Interference
title_fullStr Estimation of the CHSH Parameter Using HOM Interference
title_full_unstemmed Estimation of the CHSH Parameter Using HOM Interference
title_short Estimation of the CHSH Parameter Using HOM Interference
title_sort estimation of the chsh parameter using hom interference
topic Quantum communication
quantum entanglement
optical interferometry
url https://ieeexplore.ieee.org/document/9716782/
work_keys_str_mv AT richardabrewster estimationofthechshparameterusinghominterference
AT juliusgoldhar estimationofthechshparameterusinghominterference
AT markmorris estimationofthechshparameterusinghominterference
AT geraldbaumgartner estimationofthechshparameterusinghominterference
AT yannekchembo estimationofthechshparameterusinghominterference