Exponentially decreasing critical detection efficiency for any Bell inequality

We address the problem of closing the detection efficiency loophole in Bell experiments, which is crucial for real-world applications. Every Bell inequality has a critical detection efficiency η that must be surpassed to avoid the detection loophole. Here, we propose a general method for reducing th...

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Autores: Miklin, Nikolai, Chaturvedi, Anubhav, Bourennane, Mohamed, Pawłowski, Marcin, Cabello Quintero, Adán
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/144772
Acceso en línea:https://hdl.handle.net/11441/144772
https://doi.org/10.1103/PhysRevLett.129.230403
Access Level:acceso abierto
Palabra clave:Bell inequality
Efficiency
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spelling Exponentially decreasing critical detection efficiency for any Bell inequalityMiklin, NikolaiChaturvedi, AnubhavBourennane, MohamedPawłowski, MarcinCabello Quintero, AdánBell inequalityEfficiencyWe address the problem of closing the detection efficiency loophole in Bell experiments, which is crucial for real-world applications. Every Bell inequality has a critical detection efficiency η that must be surpassed to avoid the detection loophole. Here, we propose a general method for reducing the critical detection efficiency of any Bell inequality to arbitrary low values. This is accomplished by entangling two particles in N orthogonal subspaces (e.g., N degrees of freedom) and conducting N Bell tests in parallel. Furthermore, the proposed method is based on the introduction of penalized N-product (PNP) Bell inequalities, for which the so-called simultaneous measurement loophole is closed, and the maximum value for local hiddenvariable theories is simply the Nth power of the one of the Bell inequality initially considered. We show that, for the PNP Bell inequalities, the critical detection efficiency decays exponentially with N. The strength of our method is illustrated with a detailed study of the PNP Bell inequalities resulting from the Clauser-Horne-Shimony-Holt inequality.American Physical SocietyFísica Aplicada IIFQM239: Fundamentos de Mecánica CuánticaMinisterio de Economia, Industria y Competitividad (MINECO). EspañaEuropean Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER)Deutsche Forschungsgemeinschaft / German Research Foundation (DFG)Foundation for Polish ScienceSwedish Research Council2022info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/144772https://doi.org/10.1103/PhysRevLett.129.230403reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésPhysical Review Letters, 129 (230403).PCI2019-111885-2441423094https://journals.aps.org/prl/pdf/10.1103/PhysRevLett.129.230403info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1447722026-06-17T12:51:07Z
dc.title.none.fl_str_mv Exponentially decreasing critical detection efficiency for any Bell inequality
title Exponentially decreasing critical detection efficiency for any Bell inequality
spellingShingle Exponentially decreasing critical detection efficiency for any Bell inequality
Miklin, Nikolai
Bell inequality
Efficiency
title_short Exponentially decreasing critical detection efficiency for any Bell inequality
title_full Exponentially decreasing critical detection efficiency for any Bell inequality
title_fullStr Exponentially decreasing critical detection efficiency for any Bell inequality
title_full_unstemmed Exponentially decreasing critical detection efficiency for any Bell inequality
title_sort Exponentially decreasing critical detection efficiency for any Bell inequality
dc.creator.none.fl_str_mv Miklin, Nikolai
Chaturvedi, Anubhav
Bourennane, Mohamed
Pawłowski, Marcin
Cabello Quintero, Adán
author Miklin, Nikolai
author_facet Miklin, Nikolai
Chaturvedi, Anubhav
Bourennane, Mohamed
Pawłowski, Marcin
Cabello Quintero, Adán
author_role author
author2 Chaturvedi, Anubhav
Bourennane, Mohamed
Pawłowski, Marcin
Cabello Quintero, Adán
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Física Aplicada II
FQM239: Fundamentos de Mecánica Cuántica
Ministerio de Economia, Industria y Competitividad (MINECO). España
European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER)
Deutsche Forschungsgemeinschaft / German Research Foundation (DFG)
Foundation for Polish Science
Swedish Research Council
dc.subject.none.fl_str_mv Bell inequality
Efficiency
topic Bell inequality
Efficiency
description We address the problem of closing the detection efficiency loophole in Bell experiments, which is crucial for real-world applications. Every Bell inequality has a critical detection efficiency η that must be surpassed to avoid the detection loophole. Here, we propose a general method for reducing the critical detection efficiency of any Bell inequality to arbitrary low values. This is accomplished by entangling two particles in N orthogonal subspaces (e.g., N degrees of freedom) and conducting N Bell tests in parallel. Furthermore, the proposed method is based on the introduction of penalized N-product (PNP) Bell inequalities, for which the so-called simultaneous measurement loophole is closed, and the maximum value for local hiddenvariable theories is simply the Nth power of the one of the Bell inequality initially considered. We show that, for the PNP Bell inequalities, the critical detection efficiency decays exponentially with N. The strength of our method is illustrated with a detailed study of the PNP Bell inequalities resulting from the Clauser-Horne-Shimony-Holt inequality.
publishDate 2022
dc.date.none.fl_str_mv 2022
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/144772
https://doi.org/10.1103/PhysRevLett.129.230403
url https://hdl.handle.net/11441/144772
https://doi.org/10.1103/PhysRevLett.129.230403
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Physical Review Letters, 129 (230403).
PCI2019-111885-2
441423094
https://journals.aps.org/prl/pdf/10.1103/PhysRevLett.129.230403
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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