Genuine multipartite entanglement of quantum states in the multiple-copy scenario

Genuine multipartite entanglement (GME) is considered a powerful form of entanglement since it corresponds to those states that are not biseparable, i.e. a mixture of partially separable states across different bipartitions of the parties. In this work we study this phenomenon in the multiple-copy r...

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Detalhes bibliográficos
Autores: Palazuelos Cabezón, Carlos, Vicente, Julio I. de
Formato: artículo
Fecha de publicación:2022
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/71939
Acesso em linha:https://hdl.handle.net/20.500.14352/71939
Access Level:acceso abierto
Palavra-chave:51-73
Quantum Physics
Física matemática
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spelling Genuine multipartite entanglement of quantum states in the multiple-copy scenarioPalazuelos Cabezón, CarlosVicente, Julio I. de51-73Quantum PhysicsFísica matemáticaGenuine multipartite entanglement (GME) is considered a powerful form of entanglement since it corresponds to those states that are not biseparable, i.e. a mixture of partially separable states across different bipartitions of the parties. In this work we study this phenomenon in the multiple-copy regime, where many perfect copies of a given state can be produced and controlled. In this scenario the above definition leads to subtle intricacies as biseparable states can be GME-activatable, i.e. several copies of a biseparable state can display GME. We show that the set of GMEactivatable states admits a simple characterization: a state is GME-activatable if and only if it is not partially separable across one bipartition of the parties. This leads to the second question of whether there is a general upper bound in the number of copies that needs to be considered in order to observe the activation of GME, which we answer in the negative. In particular, by providing an explicit construction, we prove that for any number of parties and any number k 2 N there exist GME-activatable multipartite states of fixed (i.e. independent of k) local dimensions such that k copies of them remain biseparable.Universidad Complutense de Madrid20222022-06-1320222022-06-13journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/71939reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Atribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/719392026-06-02T12:44:21Z
dc.title.none.fl_str_mv Genuine multipartite entanglement of quantum states in the multiple-copy scenario
title Genuine multipartite entanglement of quantum states in the multiple-copy scenario
spellingShingle Genuine multipartite entanglement of quantum states in the multiple-copy scenario
Palazuelos Cabezón, Carlos
51-73
Quantum Physics
Física matemática
title_short Genuine multipartite entanglement of quantum states in the multiple-copy scenario
title_full Genuine multipartite entanglement of quantum states in the multiple-copy scenario
title_fullStr Genuine multipartite entanglement of quantum states in the multiple-copy scenario
title_full_unstemmed Genuine multipartite entanglement of quantum states in the multiple-copy scenario
title_sort Genuine multipartite entanglement of quantum states in the multiple-copy scenario
dc.creator.none.fl_str_mv Palazuelos Cabezón, Carlos
Vicente, Julio I. de
author Palazuelos Cabezón, Carlos
author_facet Palazuelos Cabezón, Carlos
Vicente, Julio I. de
author_role author
author2 Vicente, Julio I. de
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 51-73
Quantum Physics
Física matemática
topic 51-73
Quantum Physics
Física matemática
description Genuine multipartite entanglement (GME) is considered a powerful form of entanglement since it corresponds to those states that are not biseparable, i.e. a mixture of partially separable states across different bipartitions of the parties. In this work we study this phenomenon in the multiple-copy regime, where many perfect copies of a given state can be produced and controlled. In this scenario the above definition leads to subtle intricacies as biseparable states can be GME-activatable, i.e. several copies of a biseparable state can display GME. We show that the set of GMEactivatable states admits a simple characterization: a state is GME-activatable if and only if it is not partially separable across one bipartition of the parties. This leads to the second question of whether there is a general upper bound in the number of copies that needs to be considered in order to observe the activation of GME, which we answer in the negative. In particular, by providing an explicit construction, we prove that for any number of parties and any number k 2 N there exist GME-activatable multipartite states of fixed (i.e. independent of k) local dimensions such that k copies of them remain biseparable.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-06-13
2022
2022-06-13
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/71939
url https://hdl.handle.net/20.500.14352/71939
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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