Tripartite entropic uncertainty relation under phase decoherence

Abstract We formulate the tripartite entropic uncertainty relation and predict its lower bound in a three-qubit Heisenberg XXZ spin chain when measuring an arbitrary pair of incompatible observables on one qubit while the other two are served as quantum memories. Our study reveals that the entanglem...

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Autores principales:	R. A. Abdelghany, A.-B. A. Mohamed, M. Tammam, Watson Kuo, H. Eleuch
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/9f350cd9daff4d558f91a417f8d7fd4a
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spelling	oai:doaj.org-article:9f350cd9daff4d558f91a417f8d7fd4a2021-12-02T15:02:40ZTripartite entropic uncertainty relation under phase decoherence10.1038/s41598-021-90689-32045-2322https://doaj.org/article/9f350cd9daff4d558f91a417f8d7fd4a2021-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-90689-3https://doaj.org/toc/2045-2322Abstract We formulate the tripartite entropic uncertainty relation and predict its lower bound in a three-qubit Heisenberg XXZ spin chain when measuring an arbitrary pair of incompatible observables on one qubit while the other two are served as quantum memories. Our study reveals that the entanglement between the nearest neighbors plays an important role in reducing the uncertainty in measurement outcomes. In addition we have shown that the Dolatkhah’s lower bound (Phys Rev A 102(5):052227, 2020) is tighter than that of Ming (Phys Rev A 102(01):012206, 2020) and their dynamics under phase decoherence depends on the choice of the observable pair. In the absence of phase decoherence, Ming’s lower bound is time-invariant regardless the chosen observable pair, while Dolatkhah’s lower bound is perfectly identical with the tripartite uncertainty with a specific choice of pair.R. A. AbdelghanyA.-B. A. MohamedM. TammamWatson KuoH. EleuchNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-11 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q R. A. Abdelghany A.-B. A. Mohamed M. Tammam Watson Kuo H. Eleuch Tripartite entropic uncertainty relation under phase decoherence
description	Abstract We formulate the tripartite entropic uncertainty relation and predict its lower bound in a three-qubit Heisenberg XXZ spin chain when measuring an arbitrary pair of incompatible observables on one qubit while the other two are served as quantum memories. Our study reveals that the entanglement between the nearest neighbors plays an important role in reducing the uncertainty in measurement outcomes. In addition we have shown that the Dolatkhah’s lower bound (Phys Rev A 102(5):052227, 2020) is tighter than that of Ming (Phys Rev A 102(01):012206, 2020) and their dynamics under phase decoherence depends on the choice of the observable pair. In the absence of phase decoherence, Ming’s lower bound is time-invariant regardless the chosen observable pair, while Dolatkhah’s lower bound is perfectly identical with the tripartite uncertainty with a specific choice of pair.
format	article
author	R. A. Abdelghany A.-B. A. Mohamed M. Tammam Watson Kuo H. Eleuch
author_facet	R. A. Abdelghany A.-B. A. Mohamed M. Tammam Watson Kuo H. Eleuch
author_sort	R. A. Abdelghany
title	Tripartite entropic uncertainty relation under phase decoherence
title_short	Tripartite entropic uncertainty relation under phase decoherence
title_full	Tripartite entropic uncertainty relation under phase decoherence
title_fullStr	Tripartite entropic uncertainty relation under phase decoherence
title_full_unstemmed	Tripartite entropic uncertainty relation under phase decoherence
title_sort	tripartite entropic uncertainty relation under phase decoherence
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/9f350cd9daff4d558f91a417f8d7fd4a
work_keys_str_mv	AT raabdelghany tripartiteentropicuncertaintyrelationunderphasedecoherence AT abamohamed tripartiteentropicuncertaintyrelationunderphasedecoherence AT mtammam tripartiteentropicuncertaintyrelationunderphasedecoherence AT watsonkuo tripartiteentropicuncertaintyrelationunderphasedecoherence AT heleuch tripartiteentropicuncertaintyrelationunderphasedecoherence
_version_	1718389093211045888

Tripartite entropic uncertainty relation under phase decoherence

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