Bounds for coherence of quantum superpositions in high dimension

Abstract Quantum coherence plays a major role in the promotion for quantum information processing and designing quantum technology. Since coherence is rooted in superposition principle, it is vital to understand the coherence change with respect to superpositions. Here we study the bounds for cohere...

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Autores principales:	Qiu-Ling Yue, Fei Gao, Qiao-Yan Wen, Wei-Wei Zhang
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/cec8a3d7447844d8ae0c5866f641076d
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spelling	oai:doaj.org-article:cec8a3d7447844d8ae0c5866f641076d2021-12-02T11:41:19ZBounds for coherence of quantum superpositions in high dimension10.1038/s41598-017-03885-52045-2322https://doaj.org/article/cec8a3d7447844d8ae0c5866f641076d2017-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-03885-5https://doaj.org/toc/2045-2322Abstract Quantum coherence plays a major role in the promotion for quantum information processing and designing quantum technology. Since coherence is rooted in superposition principle, it is vital to understand the coherence change with respect to superpositions. Here we study the bounds for coherence of quantum superpositions in high dimension. We consider three most frequently used measures of coherence, i.e. the relative entropy of coherence, l 1 norm of coherence and robustness of coherence. For a quantum state (an arbitrary dimension) and its arbitrary decomposition, we give the upper and lower bounds for coherence of the superposition state in terms of the coherence of the states being superposed.Qiu-Ling YueFei GaoQiao-Yan WenWei-Wei ZhangNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-13 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Qiu-Ling Yue Fei Gao Qiao-Yan Wen Wei-Wei Zhang Bounds for coherence of quantum superpositions in high dimension
description	Abstract Quantum coherence plays a major role in the promotion for quantum information processing and designing quantum technology. Since coherence is rooted in superposition principle, it is vital to understand the coherence change with respect to superpositions. Here we study the bounds for coherence of quantum superpositions in high dimension. We consider three most frequently used measures of coherence, i.e. the relative entropy of coherence, l 1 norm of coherence and robustness of coherence. For a quantum state (an arbitrary dimension) and its arbitrary decomposition, we give the upper and lower bounds for coherence of the superposition state in terms of the coherence of the states being superposed.
format	article
author	Qiu-Ling Yue Fei Gao Qiao-Yan Wen Wei-Wei Zhang
author_facet	Qiu-Ling Yue Fei Gao Qiao-Yan Wen Wei-Wei Zhang
author_sort	Qiu-Ling Yue
title	Bounds for coherence of quantum superpositions in high dimension
title_short	Bounds for coherence of quantum superpositions in high dimension
title_full	Bounds for coherence of quantum superpositions in high dimension
title_fullStr	Bounds for coherence of quantum superpositions in high dimension
title_full_unstemmed	Bounds for coherence of quantum superpositions in high dimension
title_sort	bounds for coherence of quantum superpositions in high dimension
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/cec8a3d7447844d8ae0c5866f641076d
work_keys_str_mv	AT qiulingyue boundsforcoherenceofquantumsuperpositionsinhighdimension AT feigao boundsforcoherenceofquantumsuperpositionsinhighdimension AT qiaoyanwen boundsforcoherenceofquantumsuperpositionsinhighdimension AT weiweizhang boundsforcoherenceofquantumsuperpositionsinhighdimension
_version_	1718395427526541312

Bounds for coherence of quantum superpositions in high dimension

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