Minimal control power of controlled dense coding and genuine tripartite entanglement

Abstract We investigate minimal control power (MCP) for controlled dense coding defined by the channel capacity. We obtain MCPs for extended three-qubit Greenberger-Horne-Zeilinger (GHZ) states and generalized three-qubit W states. Among those GHZ states, the standard GHZ state is found to maximize...

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Autores principales:	Changhun Oh, Hoyong Kim, Kabgyun Jeong, Hyunseok Jeong
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/1c3b736d4aa4413595faee84342cb8c2
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spelling	oai:doaj.org-article:1c3b736d4aa4413595faee84342cb8c22021-12-02T12:32:57ZMinimal control power of controlled dense coding and genuine tripartite entanglement10.1038/s41598-017-03822-62045-2322https://doaj.org/article/1c3b736d4aa4413595faee84342cb8c22017-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-03822-6https://doaj.org/toc/2045-2322Abstract We investigate minimal control power (MCP) for controlled dense coding defined by the channel capacity. We obtain MCPs for extended three-qubit Greenberger-Horne-Zeilinger (GHZ) states and generalized three-qubit W states. Among those GHZ states, the standard GHZ state is found to maximize the MCP and so does the standard W state among the W-type states. We find the lower and upper bounds of the MCP and show for pure states that the lower bound, zero, is achieved if and only if the three-qubit state is biseparable or fully separable. The upper bound is achieved only for the standard GHZ state. Since the MCP is nonzero only when three-qubit entanglement exists, this quantity may be a good candidate to measure the degree of genuine tripartite entanglement.Changhun OhHoyong KimKabgyun JeongHyunseok JeongNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-8 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Changhun Oh Hoyong Kim Kabgyun Jeong Hyunseok Jeong Minimal control power of controlled dense coding and genuine tripartite entanglement
description	Abstract We investigate minimal control power (MCP) for controlled dense coding defined by the channel capacity. We obtain MCPs for extended three-qubit Greenberger-Horne-Zeilinger (GHZ) states and generalized three-qubit W states. Among those GHZ states, the standard GHZ state is found to maximize the MCP and so does the standard W state among the W-type states. We find the lower and upper bounds of the MCP and show for pure states that the lower bound, zero, is achieved if and only if the three-qubit state is biseparable or fully separable. The upper bound is achieved only for the standard GHZ state. Since the MCP is nonzero only when three-qubit entanglement exists, this quantity may be a good candidate to measure the degree of genuine tripartite entanglement.
format	article
author	Changhun Oh Hoyong Kim Kabgyun Jeong Hyunseok Jeong
author_facet	Changhun Oh Hoyong Kim Kabgyun Jeong Hyunseok Jeong
author_sort	Changhun Oh
title	Minimal control power of controlled dense coding and genuine tripartite entanglement
title_short	Minimal control power of controlled dense coding and genuine tripartite entanglement
title_full	Minimal control power of controlled dense coding and genuine tripartite entanglement
title_fullStr	Minimal control power of controlled dense coding and genuine tripartite entanglement
title_full_unstemmed	Minimal control power of controlled dense coding and genuine tripartite entanglement
title_sort	minimal control power of controlled dense coding and genuine tripartite entanglement
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/1c3b736d4aa4413595faee84342cb8c2
work_keys_str_mv	AT changhunoh minimalcontrolpowerofcontrolleddensecodingandgenuinetripartiteentanglement AT hoyongkim minimalcontrolpowerofcontrolleddensecodingandgenuinetripartiteentanglement AT kabgyunjeong minimalcontrolpowerofcontrolleddensecodingandgenuinetripartiteentanglement AT hyunseokjeong minimalcontrolpowerofcontrolleddensecodingandgenuinetripartiteentanglement
_version_	1718393904947003392

Minimal control power of controlled dense coding and genuine tripartite entanglement

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