Simultaneous estimation of multiple phases in generalised Mach–Zehnder interferometer

Abstract In this work we investigate the problem of simultaneous estimation of phases using generalised three- and four-mode Mach–Zehnder interferometer. In our setup, we assume that the phases are placed in each of the modes in the interferometer, which introduces correlations between estimators of...

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Autores principales:	Marcin Markiewicz, Mahasweta Pandit, Wiesław Laskowski
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/112b467672a7477c868a2a79057c351d
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spelling	oai:doaj.org-article:112b467672a7477c868a2a79057c351d2021-12-02T14:53:34ZSimultaneous estimation of multiple phases in generalised Mach–Zehnder interferometer10.1038/s41598-021-95005-72045-2322https://doaj.org/article/112b467672a7477c868a2a79057c351d2021-08-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-95005-7https://doaj.org/toc/2045-2322Abstract In this work we investigate the problem of simultaneous estimation of phases using generalised three- and four-mode Mach–Zehnder interferometer. In our setup, we assume that the phases are placed in each of the modes in the interferometer, which introduces correlations between estimators of the phases. These correlations prevent simultaneous estimation of all these phases, however we show that we can still obtain the Heisenberg-like scaling of precision of joint estimation of any subset of $$d-1$$ d - 1 phases, d being the number of modes, within completely fixed experimental setup, namely with the same initial state and set of measurements. Our estimation scheme can be applied to the task of quantum-enhanced sensing in three-dimensional interferometric configurations.Marcin MarkiewiczMahasweta PanditWiesław LaskowskiNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-13 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Marcin Markiewicz Mahasweta Pandit Wiesław Laskowski Simultaneous estimation of multiple phases in generalised Mach–Zehnder interferometer
description	Abstract In this work we investigate the problem of simultaneous estimation of phases using generalised three- and four-mode Mach–Zehnder interferometer. In our setup, we assume that the phases are placed in each of the modes in the interferometer, which introduces correlations between estimators of the phases. These correlations prevent simultaneous estimation of all these phases, however we show that we can still obtain the Heisenberg-like scaling of precision of joint estimation of any subset of $$d-1$$ d - 1 phases, d being the number of modes, within completely fixed experimental setup, namely with the same initial state and set of measurements. Our estimation scheme can be applied to the task of quantum-enhanced sensing in three-dimensional interferometric configurations.
format	article
author	Marcin Markiewicz Mahasweta Pandit Wiesław Laskowski
author_facet	Marcin Markiewicz Mahasweta Pandit Wiesław Laskowski
author_sort	Marcin Markiewicz
title	Simultaneous estimation of multiple phases in generalised Mach–Zehnder interferometer
title_short	Simultaneous estimation of multiple phases in generalised Mach–Zehnder interferometer
title_full	Simultaneous estimation of multiple phases in generalised Mach–Zehnder interferometer
title_fullStr	Simultaneous estimation of multiple phases in generalised Mach–Zehnder interferometer
title_full_unstemmed	Simultaneous estimation of multiple phases in generalised Mach–Zehnder interferometer
title_sort	simultaneous estimation of multiple phases in generalised mach–zehnder interferometer
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/112b467672a7477c868a2a79057c351d
work_keys_str_mv	AT marcinmarkiewicz simultaneousestimationofmultiplephasesingeneralisedmachzehnderinterferometer AT mahaswetapandit simultaneousestimationofmultiplephasesingeneralisedmachzehnderinterferometer AT wiesławlaskowski simultaneousestimationofmultiplephasesingeneralisedmachzehnderinterferometer
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Simultaneous estimation of multiple phases in generalised Mach–Zehnder interferometer

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