Self-testing of a single quantum system from theory to experiment

Self-testing allows one to characterise quantum systems under minimal assumptions. However, existing schemes rely on quantum nonlocality and cannot be applied to systems that are not entangled. Here, we introduce a robust method that achieves self-testing of individual systems by taking advantage of...

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Autores: Hu, Xiao-Min, Xie, Yi, Arora, Atul Singh, Ai, Ming-Zhong, Bharti, Kishor, Zhang, Jie, Wu, Wei, Chen, Ping Xing, Cui, Jin Ming, Liu, Bi-Heng, Huang, Yun-Feng, Li, Chuan-Feng, Guo, Guang-Can, Roland, Jérémie, Cabello Quintero, Adán, Kwek, Leong-Chuan
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2023
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/149939
Acceso en línea:https://hdl.handle.net/11441/149939
https://doi.org/10.1038/s41534-023-00769-7
Access Level:acceso abierto
Palabra clave:Single quantum system
Klyachko-Can-Binicioğlu-Shumovsky inequality
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spelling Self-testing of a single quantum system from theory to experimentHu, Xiao-MinXie, YiArora, Atul SinghAi, Ming-ZhongBharti, KishorZhang, JieWu, WeiChen, Ping XingCui, Jin MingLiu, Bi-HengHuang, Yun-FengLi, Chuan-FengGuo, Guang-CanRoland, JérémieCabello Quintero, AdánKwek, Leong-ChuanSingle quantum systemKlyachko-Can-Binicioğlu-Shumovsky inequalitySelf-testing allows one to characterise quantum systems under minimal assumptions. However, existing schemes rely on quantum nonlocality and cannot be applied to systems that are not entangled. Here, we introduce a robust method that achieves self-testing of individual systems by taking advantage of contextuality. The scheme is based on the simplest contextuality witness for the simplest contextual quantum system—the Klyachko-Can-Binicioğlu-Shumovsky inequality for the qutrit. We establish a lower bound on the fidelity of the state and the measurements as a function of the value of the witness under a pragmatic assumption on the measurements. We apply the method in an experiment on a single trapped 40Ca+ using randomly chosen measurements and perfect detection efficiency. Using the observed statistics, we obtain an experimental demonstration of self-testing of a single quantum system.Nature ResearchFísica Aplicada IIFQM239: Fundamentos de Mecánica CuánticaNational Natural Science Foundation of ChinaUniversidad de SevillaEuropean Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER)Ministerio de Economia, Industria y Competitividad (MINECO). EspañaMinisterio de Ciencia, Innovación y Universidades (MICINN). EspañaMinistry of Education, SingaporeNational Research Foundation SingaporeDepartment of Energy. United StatesInstitute for Quantum Information and MatterBelgian Fonds pour la Formation à la Recherche2023info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/149939https://doi.org/10.1038/s41534-023-00769-7reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)Inglésnpj Quantum Information, 9 (103).2017YFA03041002021YFE0113100117340151187434511821404119043571217436711904402120744331217444712004430121744482021ZD03012002021ZD03016052022RC11942008085J02US15097PCI2019-111885-2PID2020-113738GB-I00OMA-2120757DE-SC0020312DE-SC0019040DE-SC0019449GBMF1250002FA9550-18-1-01611.E.081.17FR.50.05.18.Fhttps://www.nature.com/articles/s41534-023-00769-7info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1499392026-06-17T12:51:07Z
dc.title.none.fl_str_mv Self-testing of a single quantum system from theory to experiment
title Self-testing of a single quantum system from theory to experiment
spellingShingle Self-testing of a single quantum system from theory to experiment
Hu, Xiao-Min
Single quantum system
Klyachko-Can-Binicioğlu-Shumovsky inequality
title_short Self-testing of a single quantum system from theory to experiment
title_full Self-testing of a single quantum system from theory to experiment
title_fullStr Self-testing of a single quantum system from theory to experiment
title_full_unstemmed Self-testing of a single quantum system from theory to experiment
title_sort Self-testing of a single quantum system from theory to experiment
dc.creator.none.fl_str_mv Hu, Xiao-Min
Xie, Yi
Arora, Atul Singh
Ai, Ming-Zhong
Bharti, Kishor
Zhang, Jie
Wu, Wei
Chen, Ping Xing
Cui, Jin Ming
Liu, Bi-Heng
Huang, Yun-Feng
Li, Chuan-Feng
Guo, Guang-Can
Roland, Jérémie
Cabello Quintero, Adán
Kwek, Leong-Chuan
author Hu, Xiao-Min
author_facet Hu, Xiao-Min
Xie, Yi
Arora, Atul Singh
Ai, Ming-Zhong
Bharti, Kishor
Zhang, Jie
Wu, Wei
Chen, Ping Xing
Cui, Jin Ming
Liu, Bi-Heng
Huang, Yun-Feng
Li, Chuan-Feng
Guo, Guang-Can
Roland, Jérémie
Cabello Quintero, Adán
Kwek, Leong-Chuan
author_role author
author2 Xie, Yi
Arora, Atul Singh
Ai, Ming-Zhong
Bharti, Kishor
Zhang, Jie
Wu, Wei
Chen, Ping Xing
Cui, Jin Ming
Liu, Bi-Heng
Huang, Yun-Feng
Li, Chuan-Feng
Guo, Guang-Can
Roland, Jérémie
Cabello Quintero, Adán
Kwek, Leong-Chuan
author2_role author
author
author
author
author
author
author
author
author
author
author
author
author
author
author
dc.contributor.none.fl_str_mv Física Aplicada II
FQM239: Fundamentos de Mecánica Cuántica
National Natural Science Foundation of China
Universidad de Sevilla
European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER)
Ministerio de Economia, Industria y Competitividad (MINECO). España
Ministerio de Ciencia, Innovación y Universidades (MICINN). España
Ministry of Education, Singapore
National Research Foundation Singapore
Department of Energy. United States
Institute for Quantum Information and Matter
Belgian Fonds pour la Formation à la Recherche
dc.subject.none.fl_str_mv Single quantum system
Klyachko-Can-Binicioğlu-Shumovsky inequality
topic Single quantum system
Klyachko-Can-Binicioğlu-Shumovsky inequality
description Self-testing allows one to characterise quantum systems under minimal assumptions. However, existing schemes rely on quantum nonlocality and cannot be applied to systems that are not entangled. Here, we introduce a robust method that achieves self-testing of individual systems by taking advantage of contextuality. The scheme is based on the simplest contextuality witness for the simplest contextual quantum system—the Klyachko-Can-Binicioğlu-Shumovsky inequality for the qutrit. We establish a lower bound on the fidelity of the state and the measurements as a function of the value of the witness under a pragmatic assumption on the measurements. We apply the method in an experiment on a single trapped 40Ca+ using randomly chosen measurements and perfect detection efficiency. Using the observed statistics, we obtain an experimental demonstration of self-testing of a single quantum system.
publishDate 2023
dc.date.none.fl_str_mv 2023
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/11441/149939
https://doi.org/10.1038/s41534-023-00769-7
url https://hdl.handle.net/11441/149939
https://doi.org/10.1038/s41534-023-00769-7
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv npj Quantum Information, 9 (103).
2017YFA0304100
2021YFE0113100
11734015
11874345
11821404
11904357
12174367
11904402
12074433
12174447
12004430
12174448
2021ZD0301200
2021ZD0301605
2022RC1194
2008085J02
US15097
PCI2019-111885-2
PID2020-113738GB-I00
OMA-2120757
DE-SC0020312
DE-SC0019040
DE-SC0019449
GBMF1250002
FA9550-18-1-0161
1.E.081.17F
R.50.05.18.F
https://www.nature.com/articles/s41534-023-00769-7
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 Nature Research
publisher.none.fl_str_mv Nature Research
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
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