Geometry of two-body correlations in three-qubit states

We study restrictions of two-body correlations in three-qubit states, using three local-unitarily invariant coordinates based on the Bloch vector lengths of the marginal states. First, we find tight nonlinear bounds satisfied by all pure states and extend this result by including the three-body corr...

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Detalles Bibliográficos
Autores: Shravan, S., Morelli, S., Gühne, O., Imai, S.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/1948
Acceso en línea:http://hdl.handle.net/20.500.11824/1948
Access Level:acceso abierto
Palabra clave:Quantum correlations in quantum information
Quantum entanglement
Quantum foundations
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spelling Geometry of two-body correlations in three-qubit statesShravan, S.Morelli, S.Gühne, O.Imai, S.Quantum correlations in quantum informationQuantum entanglementQuantum foundationsWe study restrictions of two-body correlations in three-qubit states, using three local-unitarily invariant coordinates based on the Bloch vector lengths of the marginal states. First, we find tight nonlinear bounds satisfied by all pure states and extend this result by including the three-body correlations. Second, we consider mixed states and conjecture a tight nonlinear bound for all three-qubit states. Finally, within the created framework, we give criteria to detect different types of multipartite entanglement as well as characterize the rank of the quantum state.202520252024info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/20.500.11824/1948reponame:BIRD. BCAM's Institutional Repository Datainstname:Basque Center for Applied Mathematics (BCAM)Inglésinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/CEX2021-001142-Sinfo:eu-repo/grantAgreement/Gobierno Vasco/BERC/BERC.2022-2025info:eu-repo/grantAgreement/Gobierno Vasco/IKUR/Reconocimiento-NoComercial-CompartirIgual 3.0 Españahttp://creativecommons.org/licenses/by-nc-sa/3.0/es/info:eu-repo/semantics/openAccessoai:bird.bcamath.org:20.500.11824/19482026-06-19T12:47:47Z
dc.title.none.fl_str_mv Geometry of two-body correlations in three-qubit states
title Geometry of two-body correlations in three-qubit states
spellingShingle Geometry of two-body correlations in three-qubit states
Shravan, S.
Quantum correlations in quantum information
Quantum entanglement
Quantum foundations
title_short Geometry of two-body correlations in three-qubit states
title_full Geometry of two-body correlations in three-qubit states
title_fullStr Geometry of two-body correlations in three-qubit states
title_full_unstemmed Geometry of two-body correlations in three-qubit states
title_sort Geometry of two-body correlations in three-qubit states
dc.creator.none.fl_str_mv Shravan, S.
Morelli, S.
Gühne, O.
Imai, S.
author Shravan, S.
author_facet Shravan, S.
Morelli, S.
Gühne, O.
Imai, S.
author_role author
author2 Morelli, S.
Gühne, O.
Imai, S.
author2_role author
author
author
dc.subject.none.fl_str_mv Quantum correlations in quantum information
Quantum entanglement
Quantum foundations
topic Quantum correlations in quantum information
Quantum entanglement
Quantum foundations
description We study restrictions of two-body correlations in three-qubit states, using three local-unitarily invariant coordinates based on the Bloch vector lengths of the marginal states. First, we find tight nonlinear bounds satisfied by all pure states and extend this result by including the three-body correlations. Second, we consider mixed states and conjecture a tight nonlinear bound for all three-qubit states. Finally, within the created framework, we give criteria to detect different types of multipartite entanglement as well as characterize the rank of the quantum state.
publishDate 2024
dc.date.none.fl_str_mv 2024
2025
2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
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status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.11824/1948
url http://hdl.handle.net/20.500.11824/1948
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/CEX2021-001142-S
info:eu-repo/grantAgreement/Gobierno Vasco/BERC/BERC.2022-2025
info:eu-repo/grantAgreement/Gobierno Vasco/IKUR/
dc.rights.none.fl_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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instname:Basque Center for Applied Mathematics (BCAM)
instname_str Basque Center for Applied Mathematics (BCAM)
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