Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir

Abstract The uncertainty relation is a fundamental limit in quantum mechanics and is of great importance to quantum information processing as it relates to quantum precision measurement. Due to interactions with the surrounding environment, a quantum system will unavoidably suffer from decoherence....

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Autores principales:	Dong Wang, Ai-Jun Huang, Ross D. Hoehn, Fei Ming, Wen-Yang Sun, Jia-Dong Shi, Liu Ye, Sabre Kais
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/cb30cd1f7ee149d694d2d8da077eb32b
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spelling	oai:doaj.org-article:cb30cd1f7ee149d694d2d8da077eb32b2021-12-02T15:05:45ZEntropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir10.1038/s41598-017-01094-82045-2322https://doaj.org/article/cb30cd1f7ee149d694d2d8da077eb32b2017-04-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-01094-8https://doaj.org/toc/2045-2322Abstract The uncertainty relation is a fundamental limit in quantum mechanics and is of great importance to quantum information processing as it relates to quantum precision measurement. Due to interactions with the surrounding environment, a quantum system will unavoidably suffer from decoherence. Here, we investigate the dynamic behaviors of the entropic uncertainty relation of an atom-cavity interacting system under a bosonic reservoir during the crossover between Markovian and non-Markovian regimes. Specifically, we explore the dynamic behavior of the entropic uncertainty relation for a pair of incompatible observables under the reservoir-induced atomic decay effect both with and without quantum memory. We find that the uncertainty dramatically depends on both the atom-cavity and the cavity-reservoir interactions, as well as the correlation time, τ, of the structured reservoir. Furthermore, we verify that the uncertainty is anti-correlated with the purity of the state of the observed qubit-system. We also propose a remarkably simple and efficient way to reduce the uncertainty by utilizing quantum weak measurement reversal. Therefore our work offers a new insight into the uncertainty dynamics for multi-component measurements within an open system, and is thus important for quantum precision measurements.Dong WangAi-Jun HuangRoss D. HoehnFei MingWen-Yang SunJia-Dong ShiLiu YeSabre KaisNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-11 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Dong Wang Ai-Jun Huang Ross D. Hoehn Fei Ming Wen-Yang Sun Jia-Dong Shi Liu Ye Sabre Kais Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir
description	Abstract The uncertainty relation is a fundamental limit in quantum mechanics and is of great importance to quantum information processing as it relates to quantum precision measurement. Due to interactions with the surrounding environment, a quantum system will unavoidably suffer from decoherence. Here, we investigate the dynamic behaviors of the entropic uncertainty relation of an atom-cavity interacting system under a bosonic reservoir during the crossover between Markovian and non-Markovian regimes. Specifically, we explore the dynamic behavior of the entropic uncertainty relation for a pair of incompatible observables under the reservoir-induced atomic decay effect both with and without quantum memory. We find that the uncertainty dramatically depends on both the atom-cavity and the cavity-reservoir interactions, as well as the correlation time, τ, of the structured reservoir. Furthermore, we verify that the uncertainty is anti-correlated with the purity of the state of the observed qubit-system. We also propose a remarkably simple and efficient way to reduce the uncertainty by utilizing quantum weak measurement reversal. Therefore our work offers a new insight into the uncertainty dynamics for multi-component measurements within an open system, and is thus important for quantum precision measurements.
format	article
author	Dong Wang Ai-Jun Huang Ross D. Hoehn Fei Ming Wen-Yang Sun Jia-Dong Shi Liu Ye Sabre Kais
author_facet	Dong Wang Ai-Jun Huang Ross D. Hoehn Fei Ming Wen-Yang Sun Jia-Dong Shi Liu Ye Sabre Kais
author_sort	Dong Wang
title	Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir
title_short	Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir
title_full	Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir
title_fullStr	Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir
title_full_unstemmed	Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir
title_sort	entropic uncertainty relations for markovian and non-markovian processes under a structured bosonic reservoir
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/cb30cd1f7ee149d694d2d8da077eb32b
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Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir

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