Polynomial inequalities for multipartite quantum systems in mixed states

Entanglement in a multipartite quantum system represents non-local correlations between the system parts. This phenomenon is not affected by the action of a symmetry group, which acts separately on each part of the multipartite composite system. The space of the invariants of the action is a natural...

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Autor principal:	Palii, Iurie
Formato:	article
Lenguaje:	EN
Publicado:	D.Ghitu Institute of Electronic Engineering and Nanotechnologies 2018
Materias:	Physics QC1-999 Electronics TK7800-8360
Acceso en línea:	https://doaj.org/article/6f6461a6cf1f48d190e84ae665174b66
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id	oai:doaj.org-article:6f6461a6cf1f48d190e84ae665174b66
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spelling	oai:doaj.org-article:6f6461a6cf1f48d190e84ae665174b662021-11-21T11:56:39ZPolynomial inequalities for multipartite quantum systems in mixed states530.145+519.722537-63651810-648Xhttps://doaj.org/article/6f6461a6cf1f48d190e84ae665174b662018-07-01T00:00:00Zhttps://mjps.nanotech.md/archive/2018/article/71448https://doaj.org/toc/1810-648Xhttps://doaj.org/toc/2537-6365Entanglement in a multipartite quantum system represents non-local correlations between the system parts. This phenomenon is not affected by the action of a symmetry group, which acts separately on each part of the multipartite composite system. The space of the invariants of the action is a natural domain of the definition for all possible measures of the entanglement. Allowed values of the invariants are restricted by a set of inequalities, which is analyzed in this paper. The inequalities ensue from the semipositivity and Hermicity of the density matrix for the system as well as from the orbit space description in terms of the invariant theory.Palii, IurieD.Ghitu Institute of Electronic Engineering and NanotechnologiesarticlePhysicsQC1-999ElectronicsTK7800-8360ENMoldavian Journal of the Physical Sciences, Vol 17, Iss 1-2, Pp 105-114 (2018)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999 Electronics TK7800-8360
spellingShingle	Physics QC1-999 Electronics TK7800-8360 Palii, Iurie Polynomial inequalities for multipartite quantum systems in mixed states
description	Entanglement in a multipartite quantum system represents non-local correlations between the system parts. This phenomenon is not affected by the action of a symmetry group, which acts separately on each part of the multipartite composite system. The space of the invariants of the action is a natural domain of the definition for all possible measures of the entanglement. Allowed values of the invariants are restricted by a set of inequalities, which is analyzed in this paper. The inequalities ensue from the semipositivity and Hermicity of the density matrix for the system as well as from the orbit space description in terms of the invariant theory.
format	article
author	Palii, Iurie
author_facet	Palii, Iurie
author_sort	Palii, Iurie
title	Polynomial inequalities for multipartite quantum systems in mixed states
title_short	Polynomial inequalities for multipartite quantum systems in mixed states
title_full	Polynomial inequalities for multipartite quantum systems in mixed states
title_fullStr	Polynomial inequalities for multipartite quantum systems in mixed states
title_full_unstemmed	Polynomial inequalities for multipartite quantum systems in mixed states
title_sort	polynomial inequalities for multipartite quantum systems in mixed states
publisher	D.Ghitu Institute of Electronic Engineering and Nanotechnologies
publishDate	2018
url	https://doaj.org/article/6f6461a6cf1f48d190e84ae665174b66
work_keys_str_mv	AT paliiiurie polynomialinequalitiesformultipartitequantumsystemsinmixedstates
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Polynomial inequalities for multipartite quantum systems in mixed states

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