The Tightness of Multipartite Coherence from Spectrum Estimation

Detecting multipartite quantum coherence usually requires quantum state reconstruction, which is quite inefficient for large-scale quantum systems. Along this line of research, several efficient procedures have been proposed to detect multipartite quantum coherence without quantum state reconstructi...

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Autores principales:	Qi-Ming Ding, Xiao-Xu Fang, He Lu
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	multipartite quantum coherence coherence measures coherence estimation Science Q Astrophysics QB460-466 Physics QC1-999
Acceso en línea:	https://doaj.org/article/d48163ed268147fc99d31c77d29ea747
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spelling	oai:doaj.org-article:d48163ed268147fc99d31c77d29ea7472021-11-25T17:30:27ZThe Tightness of Multipartite Coherence from Spectrum Estimation10.3390/e231115191099-4300https://doaj.org/article/d48163ed268147fc99d31c77d29ea7472021-11-01T00:00:00Zhttps://www.mdpi.com/1099-4300/23/11/1519https://doaj.org/toc/1099-4300Detecting multipartite quantum coherence usually requires quantum state reconstruction, which is quite inefficient for large-scale quantum systems. Along this line of research, several efficient procedures have been proposed to detect multipartite quantum coherence without quantum state reconstruction, among which the spectrum-estimation-based method is suitable for various coherence measures. Here, we first generalize the spectrum-estimation-based method for the geometric measure of coherence. Then, we investigate the tightness of the estimated lower bound of various coherence measures, including the geometric measure of coherence, the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>l</mi><mn>1</mn></msub></semantics></math></inline-formula>-norm of coherence, the robustness of coherence, and some convex roof quantifiers of coherence multiqubit GHZ states and linear cluster states. Finally, we demonstrate the spectrum-estimation-based method as well as the other two efficient methods. We observe that the spectrum-estimation-based method outperforms other methods in various coherence measures, which significantly enhances the accuracy of estimation.Qi-Ming DingXiao-Xu FangHe LuMDPI AGarticlemultipartite quantum coherencecoherence measurescoherence estimationScienceQAstrophysicsQB460-466PhysicsQC1-999ENEntropy, Vol 23, Iss 1519, p 1519 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	multipartite quantum coherence coherence measures coherence estimation Science Q Astrophysics QB460-466 Physics QC1-999
spellingShingle	multipartite quantum coherence coherence measures coherence estimation Science Q Astrophysics QB460-466 Physics QC1-999 Qi-Ming Ding Xiao-Xu Fang He Lu The Tightness of Multipartite Coherence from Spectrum Estimation
description	Detecting multipartite quantum coherence usually requires quantum state reconstruction, which is quite inefficient for large-scale quantum systems. Along this line of research, several efficient procedures have been proposed to detect multipartite quantum coherence without quantum state reconstruction, among which the spectrum-estimation-based method is suitable for various coherence measures. Here, we first generalize the spectrum-estimation-based method for the geometric measure of coherence. Then, we investigate the tightness of the estimated lower bound of various coherence measures, including the geometric measure of coherence, the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>l</mi><mn>1</mn></msub></semantics></math></inline-formula>-norm of coherence, the robustness of coherence, and some convex roof quantifiers of coherence multiqubit GHZ states and linear cluster states. Finally, we demonstrate the spectrum-estimation-based method as well as the other two efficient methods. We observe that the spectrum-estimation-based method outperforms other methods in various coherence measures, which significantly enhances the accuracy of estimation.
format	article
author	Qi-Ming Ding Xiao-Xu Fang He Lu
author_facet	Qi-Ming Ding Xiao-Xu Fang He Lu
author_sort	Qi-Ming Ding
title	The Tightness of Multipartite Coherence from Spectrum Estimation
title_short	The Tightness of Multipartite Coherence from Spectrum Estimation
title_full	The Tightness of Multipartite Coherence from Spectrum Estimation
title_fullStr	The Tightness of Multipartite Coherence from Spectrum Estimation
title_full_unstemmed	The Tightness of Multipartite Coherence from Spectrum Estimation
title_sort	tightness of multipartite coherence from spectrum estimation
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/d48163ed268147fc99d31c77d29ea747
work_keys_str_mv	AT qimingding thetightnessofmultipartitecoherencefromspectrumestimation AT xiaoxufang thetightnessofmultipartitecoherencefromspectrumestimation AT helu thetightnessofmultipartitecoherencefromspectrumestimation AT qimingding tightnessofmultipartitecoherencefromspectrumestimation AT xiaoxufang tightnessofmultipartitecoherencefromspectrumestimation AT helu tightnessofmultipartitecoherencefromspectrumestimation
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The Tightness of Multipartite Coherence from Spectrum Estimation

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