Monogamy of nonconvex entanglement measures

One of the fundamental traits of quantum entanglement is the restricted shareability among multipartite quantum systems, namely monogamy of entanglement, while it is well known that monogamy inequalities are always satisfied by entanglement measures with convexity. Here we present a measure of entan...

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Autores principales:	Li-Min Gao, Feng-Li Yan, Ting Gao
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Monogamy Logarithmic negativity Logarithmic convex-roof extended negativity Polygamy Physics QC1-999
Acceso en línea:	https://doaj.org/article/1ecbe6a97a554fb8bc66ac39c2db79cb
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id	oai:doaj.org-article:1ecbe6a97a554fb8bc66ac39c2db79cb
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spelling	oai:doaj.org-article:1ecbe6a97a554fb8bc66ac39c2db79cb2021-11-26T04:28:06ZMonogamy of nonconvex entanglement measures2211-379710.1016/j.rinp.2021.104983https://doaj.org/article/1ecbe6a97a554fb8bc66ac39c2db79cb2021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2211379721009918https://doaj.org/toc/2211-3797One of the fundamental traits of quantum entanglement is the restricted shareability among multipartite quantum systems, namely monogamy of entanglement, while it is well known that monogamy inequalities are always satisfied by entanglement measures with convexity. Here we present a measure of entanglement, logarithmic convex-roof extended negativity (LCREN) satisfying important characteristics of an entanglement measure, and investigate the monogamy relation for logarithmic negativity and LCREN both without convexity. We show exactly that the αth power of logarithmic negativity, and a newly defined good measure of entanglement, LCREN, obey a class of general monogamy inequalities in multiqubit systems, 2⊗2⊗3systems and 2⊗2⊗2nsystems for α≥4ln2. We provide a class of general polygamy inequalities of multiqubit systems in terms of logarithmic convex-roof extended negativity of assistance (LCRENoA) for 0≤β≤2. Given that the logarithmic negativity and LCREN are not convex, these results are surprising. Using the power of the logarithmic negativity and LCREN, we further establish a class of tight monogamy inequalities of multiqubit systems, 2⊗2⊗3systems and 2⊗2⊗2nsystems in terms of the αth power of logarithmic negativity and LCREN for α≥4ln2. We also show that the βth power of LCRENoA obeys a class of tight polygamy inequalities of multiqubit systems for 0≤β≤2.Li-Min GaoFeng-Li YanTing GaoElsevierarticleMonogamyLogarithmic negativityLogarithmic convex-roof extended negativityPolygamyPhysicsQC1-999ENResults in Physics, Vol 31, Iss , Pp 104983- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Monogamy Logarithmic negativity Logarithmic convex-roof extended negativity Polygamy Physics QC1-999
spellingShingle	Monogamy Logarithmic negativity Logarithmic convex-roof extended negativity Polygamy Physics QC1-999 Li-Min Gao Feng-Li Yan Ting Gao Monogamy of nonconvex entanglement measures
description	One of the fundamental traits of quantum entanglement is the restricted shareability among multipartite quantum systems, namely monogamy of entanglement, while it is well known that monogamy inequalities are always satisfied by entanglement measures with convexity. Here we present a measure of entanglement, logarithmic convex-roof extended negativity (LCREN) satisfying important characteristics of an entanglement measure, and investigate the monogamy relation for logarithmic negativity and LCREN both without convexity. We show exactly that the αth power of logarithmic negativity, and a newly defined good measure of entanglement, LCREN, obey a class of general monogamy inequalities in multiqubit systems, 2⊗2⊗3systems and 2⊗2⊗2nsystems for α≥4ln2. We provide a class of general polygamy inequalities of multiqubit systems in terms of logarithmic convex-roof extended negativity of assistance (LCRENoA) for 0≤β≤2. Given that the logarithmic negativity and LCREN are not convex, these results are surprising. Using the power of the logarithmic negativity and LCREN, we further establish a class of tight monogamy inequalities of multiqubit systems, 2⊗2⊗3systems and 2⊗2⊗2nsystems in terms of the αth power of logarithmic negativity and LCREN for α≥4ln2. We also show that the βth power of LCRENoA obeys a class of tight polygamy inequalities of multiqubit systems for 0≤β≤2.
format	article
author	Li-Min Gao Feng-Li Yan Ting Gao
author_facet	Li-Min Gao Feng-Li Yan Ting Gao
author_sort	Li-Min Gao
title	Monogamy of nonconvex entanglement measures
title_short	Monogamy of nonconvex entanglement measures
title_full	Monogamy of nonconvex entanglement measures
title_fullStr	Monogamy of nonconvex entanglement measures
title_full_unstemmed	Monogamy of nonconvex entanglement measures
title_sort	monogamy of nonconvex entanglement measures
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/1ecbe6a97a554fb8bc66ac39c2db79cb
work_keys_str_mv	AT limingao monogamyofnonconvexentanglementmeasures AT fengliyan monogamyofnonconvexentanglementmeasures AT tinggao monogamyofnonconvexentanglementmeasures
_version_	1718409888023969792

Monogamy of nonconvex entanglement measures

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