Protecting quantum Fisher information of N-qubit GHZ state by weak measurement with flips against dissipation

Abstract In this paper we propose a scheme by using weak-measurement-based pre- and post-flips (WMPPF) to protect the average quantum Fisher information (QFI) in the independent amplitude-damping channel (ADC) for N-qubit GHZ state and generalized N-qubit GHZ states. We also discuss the weak measure...

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Autores principales:	Yu Chen, Jian Zou, Zheng-wen Long, Bin Shao
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/2d5d1fbb397546a281db7dd4cc4f588c
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spelling	oai:doaj.org-article:2d5d1fbb397546a281db7dd4cc4f588c2021-12-02T11:52:24ZProtecting quantum Fisher information of N-qubit GHZ state by weak measurement with flips against dissipation10.1038/s41598-017-04726-12045-2322https://doaj.org/article/2d5d1fbb397546a281db7dd4cc4f588c2017-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-04726-1https://doaj.org/toc/2045-2322Abstract In this paper we propose a scheme by using weak-measurement-based pre- and post-flips (WMPPF) to protect the average quantum Fisher information (QFI) in the independent amplitude-damping channel (ADC) for N-qubit GHZ state and generalized N-qubit GHZ states. We also discuss the weak measurement and quantum measurement reversal (WMQMR) with the same ADC. Based on the analytical and numerical results we obtain the main result: the WMPPF can reduce the effect of dissipation on the average QFI of the phase or the frequency for GHZ state and some generalized GHZ states, and the WMQMR can reduce the effect of dissipation on the average fidelity for GHZ state and generalized GHZ states in ADC. Comparing QFI with fidelity for WMPPF or for WMQMR, a scheme protecting the average fidelity does not necessarily protect the average QFI, even with the same parameters, and vice versa. We also focus on the average QFI versus N in the phase estimation and the frequency estimation of WMPPF, both of which show the advantages over the do-nothing (DN) case. From the investigation of the QFI of weight factor, we find that increasing qubit number can protect it both for WMPPF and for DN.Yu ChenJian ZouZheng-wen LongBin ShaoNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-12 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Yu Chen Jian Zou Zheng-wen Long Bin Shao Protecting quantum Fisher information of N-qubit GHZ state by weak measurement with flips against dissipation
description	Abstract In this paper we propose a scheme by using weak-measurement-based pre- and post-flips (WMPPF) to protect the average quantum Fisher information (QFI) in the independent amplitude-damping channel (ADC) for N-qubit GHZ state and generalized N-qubit GHZ states. We also discuss the weak measurement and quantum measurement reversal (WMQMR) with the same ADC. Based on the analytical and numerical results we obtain the main result: the WMPPF can reduce the effect of dissipation on the average QFI of the phase or the frequency for GHZ state and some generalized GHZ states, and the WMQMR can reduce the effect of dissipation on the average fidelity for GHZ state and generalized GHZ states in ADC. Comparing QFI with fidelity for WMPPF or for WMQMR, a scheme protecting the average fidelity does not necessarily protect the average QFI, even with the same parameters, and vice versa. We also focus on the average QFI versus N in the phase estimation and the frequency estimation of WMPPF, both of which show the advantages over the do-nothing (DN) case. From the investigation of the QFI of weight factor, we find that increasing qubit number can protect it both for WMPPF and for DN.
format	article
author	Yu Chen Jian Zou Zheng-wen Long Bin Shao
author_facet	Yu Chen Jian Zou Zheng-wen Long Bin Shao
author_sort	Yu Chen
title	Protecting quantum Fisher information of N-qubit GHZ state by weak measurement with flips against dissipation
title_short	Protecting quantum Fisher information of N-qubit GHZ state by weak measurement with flips against dissipation
title_full	Protecting quantum Fisher information of N-qubit GHZ state by weak measurement with flips against dissipation
title_fullStr	Protecting quantum Fisher information of N-qubit GHZ state by weak measurement with flips against dissipation
title_full_unstemmed	Protecting quantum Fisher information of N-qubit GHZ state by weak measurement with flips against dissipation
title_sort	protecting quantum fisher information of n-qubit ghz state by weak measurement with flips against dissipation
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/2d5d1fbb397546a281db7dd4cc4f588c
work_keys_str_mv	AT yuchen protectingquantumfisherinformationofnqubitghzstatebyweakmeasurementwithflipsagainstdissipation AT jianzou protectingquantumfisherinformationofnqubitghzstatebyweakmeasurementwithflipsagainstdissipation AT zhengwenlong protectingquantumfisherinformationofnqubitghzstatebyweakmeasurementwithflipsagainstdissipation AT binshao protectingquantumfisherinformationofnqubitghzstatebyweakmeasurementwithflipsagainstdissipation
_version_	1718395037487726592

Protecting quantum Fisher information of N-qubit GHZ state by weak measurement with flips against dissipation

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