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Bright-light detector control emulates the local bounds of Bell-type inequalities

It is well-known that no local model—in theory—can simulate the outcome statistics of a Bell-type experiment as long as the detection efficiency is higher than a threshold value. For the Clauser–Horne–Shimony–Holt (CHSH) Bell inequality this theoretical threshold value is [Formula: see text] . On th...

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Autores principales: Sajeed, Shihan, Sultana, Nigar, Lim, Charles Ci Wen, Makarov, Vadim
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7413270/
https://www.ncbi.nlm.nih.gov/pubmed/32764651
http://dx.doi.org/10.1038/s41598-020-70045-7
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author Sajeed, Shihan
Sultana, Nigar
Lim, Charles Ci Wen
Makarov, Vadim
author_facet Sajeed, Shihan
Sultana, Nigar
Lim, Charles Ci Wen
Makarov, Vadim
author_sort Sajeed, Shihan
collection PubMed
description It is well-known that no local model—in theory—can simulate the outcome statistics of a Bell-type experiment as long as the detection efficiency is higher than a threshold value. For the Clauser–Horne–Shimony–Holt (CHSH) Bell inequality this theoretical threshold value is [Formula: see text] . On the other hand, Phys. Rev. Lett. 107, 170404 (2011) outlined an explicit practical model that can fake the CHSH inequality for a detection efficiency of up to 0.5. In this work, we close this gap. More specifically, we propose a method to emulate a Bell inequality at the threshold detection efficiency using existing optical detector control techniques. For a Clauser–Horne–Shimony–Holt inequality, it emulates the CHSH violation predicted by quantum mechanics up to [Formula: see text] . For the Garg–Mermin inequality—re-calibrated by incorporating non-detection events—our method emulates its exact local bound at any efficiency above the threshold. This confirms that attacks on secure quantum communication protocols based on Bell violation is a real threat if the detection efficiency loophole is not closed.
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spelling pubmed-74132702020-08-10 Bright-light detector control emulates the local bounds of Bell-type inequalities Sajeed, Shihan Sultana, Nigar Lim, Charles Ci Wen Makarov, Vadim Sci Rep Article It is well-known that no local model—in theory—can simulate the outcome statistics of a Bell-type experiment as long as the detection efficiency is higher than a threshold value. For the Clauser–Horne–Shimony–Holt (CHSH) Bell inequality this theoretical threshold value is [Formula: see text] . On the other hand, Phys. Rev. Lett. 107, 170404 (2011) outlined an explicit practical model that can fake the CHSH inequality for a detection efficiency of up to 0.5. In this work, we close this gap. More specifically, we propose a method to emulate a Bell inequality at the threshold detection efficiency using existing optical detector control techniques. For a Clauser–Horne–Shimony–Holt inequality, it emulates the CHSH violation predicted by quantum mechanics up to [Formula: see text] . For the Garg–Mermin inequality—re-calibrated by incorporating non-detection events—our method emulates its exact local bound at any efficiency above the threshold. This confirms that attacks on secure quantum communication protocols based on Bell violation is a real threat if the detection efficiency loophole is not closed. Nature Publishing Group UK 2020-08-06 /pmc/articles/PMC7413270/ /pubmed/32764651 http://dx.doi.org/10.1038/s41598-020-70045-7 Text en © The Author(s) 2020 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Sajeed, Shihan
Sultana, Nigar
Lim, Charles Ci Wen
Makarov, Vadim
Bright-light detector control emulates the local bounds of Bell-type inequalities
title Bright-light detector control emulates the local bounds of Bell-type inequalities
title_full Bright-light detector control emulates the local bounds of Bell-type inequalities
title_fullStr Bright-light detector control emulates the local bounds of Bell-type inequalities
title_full_unstemmed Bright-light detector control emulates the local bounds of Bell-type inequalities
title_short Bright-light detector control emulates the local bounds of Bell-type inequalities
title_sort bright-light detector control emulates the local bounds of bell-type inequalities
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7413270/
https://www.ncbi.nlm.nih.gov/pubmed/32764651
http://dx.doi.org/10.1038/s41598-020-70045-7
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