A complete hierarchy for the pure state marginal problem in quantum mechanics

The quantum marginal problem interrogates the existence of a global pure quantum state with some given marginals. Here, the authors reformulate it as an optimisation problem, and specifically as the existence of a two-party separable state with additional semidefinite constraints.

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Autores principales:	Xiao-Dong Yu, Timo Simnacher, Nikolai Wyderka, H. Chau Nguyen, Otfried Gühne
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Science Q
Acceso en línea:	https://doaj.org/article/25a112ec79464b4da7e7a059124c7855
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id	oai:doaj.org-article:25a112ec79464b4da7e7a059124c7855
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spelling	oai:doaj.org-article:25a112ec79464b4da7e7a059124c78552021-12-02T12:09:31ZA complete hierarchy for the pure state marginal problem in quantum mechanics10.1038/s41467-020-20799-52041-1723https://doaj.org/article/25a112ec79464b4da7e7a059124c78552021-02-01T00:00:00Zhttps://doi.org/10.1038/s41467-020-20799-5https://doaj.org/toc/2041-1723The quantum marginal problem interrogates the existence of a global pure quantum state with some given marginals. Here, the authors reformulate it as an optimisation problem, and specifically as the existence of a two-party separable state with additional semidefinite constraints.Xiao-Dong YuTimo SimnacherNikolai WyderkaH. Chau NguyenOtfried GühneNature PortfolioarticleScienceQENNature Communications, Vol 12, Iss 1, Pp 1-7 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Science Q
spellingShingle	Science Q Xiao-Dong Yu Timo Simnacher Nikolai Wyderka H. Chau Nguyen Otfried Gühne A complete hierarchy for the pure state marginal problem in quantum mechanics
description	The quantum marginal problem interrogates the existence of a global pure quantum state with some given marginals. Here, the authors reformulate it as an optimisation problem, and specifically as the existence of a two-party separable state with additional semidefinite constraints.
format	article
author	Xiao-Dong Yu Timo Simnacher Nikolai Wyderka H. Chau Nguyen Otfried Gühne
author_facet	Xiao-Dong Yu Timo Simnacher Nikolai Wyderka H. Chau Nguyen Otfried Gühne
author_sort	Xiao-Dong Yu
title	A complete hierarchy for the pure state marginal problem in quantum mechanics
title_short	A complete hierarchy for the pure state marginal problem in quantum mechanics
title_full	A complete hierarchy for the pure state marginal problem in quantum mechanics
title_fullStr	A complete hierarchy for the pure state marginal problem in quantum mechanics
title_full_unstemmed	A complete hierarchy for the pure state marginal problem in quantum mechanics
title_sort	complete hierarchy for the pure state marginal problem in quantum mechanics
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/25a112ec79464b4da7e7a059124c7855
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A complete hierarchy for the pure state marginal problem in quantum mechanics

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