A variational toolbox for quantum multi-parameter estimation

Abstract With an ever-expanding ecosystem of noisy and intermediate-scale quantum devices, exploring their possible applications is a rapidly growing field of quantum information science. In this work, we demonstrate that variational quantum algorithms feasible on such devices address a challenge ce...

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Autores principales:	Johannes Jakob Meyer, Johannes Borregaard, Jens Eisert
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95
Acceso en línea:	https://doaj.org/article/e636e1e137ee4b8c9d5e866874e68257
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id	oai:doaj.org-article:e636e1e137ee4b8c9d5e866874e68257
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spelling	oai:doaj.org-article:e636e1e137ee4b8c9d5e866874e682572021-12-02T18:25:06ZA variational toolbox for quantum multi-parameter estimation10.1038/s41534-021-00425-y2056-6387https://doaj.org/article/e636e1e137ee4b8c9d5e866874e682572021-06-01T00:00:00Zhttps://doi.org/10.1038/s41534-021-00425-yhttps://doaj.org/toc/2056-6387Abstract With an ever-expanding ecosystem of noisy and intermediate-scale quantum devices, exploring their possible applications is a rapidly growing field of quantum information science. In this work, we demonstrate that variational quantum algorithms feasible on such devices address a challenge central to the field of quantum metrology: The identification of near-optimal probes and measurement operators for noisy multi-parameter estimation problems. We first introduce a general framework that allows for sequential updates of variational parameters to improve probe states and measurements and is widely applicable to both discrete and continuous-variable settings. We then demonstrate the practical functioning of the approach through numerical simulations, showcasing how tailored probes and measurements improve over standard methods in the noisy regime. Along the way, we prove the validity of a general parameter-shift rule for noisy evolutions, expected to be of general interest in variational quantum algorithms. In our approach, we advocate the mindset of quantum-aided design, exploiting quantum technology to learn close to optimal, experimentally feasible quantum metrology protocols.Johannes Jakob MeyerJohannes BorregaardJens EisertNature PortfolioarticlePhysicsQC1-999Electronic computers. Computer scienceQA75.5-76.95ENnpj Quantum Information, Vol 7, Iss 1, Pp 1-5 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95
spellingShingle	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95 Johannes Jakob Meyer Johannes Borregaard Jens Eisert A variational toolbox for quantum multi-parameter estimation
description	Abstract With an ever-expanding ecosystem of noisy and intermediate-scale quantum devices, exploring their possible applications is a rapidly growing field of quantum information science. In this work, we demonstrate that variational quantum algorithms feasible on such devices address a challenge central to the field of quantum metrology: The identification of near-optimal probes and measurement operators for noisy multi-parameter estimation problems. We first introduce a general framework that allows for sequential updates of variational parameters to improve probe states and measurements and is widely applicable to both discrete and continuous-variable settings. We then demonstrate the practical functioning of the approach through numerical simulations, showcasing how tailored probes and measurements improve over standard methods in the noisy regime. Along the way, we prove the validity of a general parameter-shift rule for noisy evolutions, expected to be of general interest in variational quantum algorithms. In our approach, we advocate the mindset of quantum-aided design, exploiting quantum technology to learn close to optimal, experimentally feasible quantum metrology protocols.
format	article
author	Johannes Jakob Meyer Johannes Borregaard Jens Eisert
author_facet	Johannes Jakob Meyer Johannes Borregaard Jens Eisert
author_sort	Johannes Jakob Meyer
title	A variational toolbox for quantum multi-parameter estimation
title_short	A variational toolbox for quantum multi-parameter estimation
title_full	A variational toolbox for quantum multi-parameter estimation
title_fullStr	A variational toolbox for quantum multi-parameter estimation
title_full_unstemmed	A variational toolbox for quantum multi-parameter estimation
title_sort	variational toolbox for quantum multi-parameter estimation
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/e636e1e137ee4b8c9d5e866874e68257
work_keys_str_mv	AT johannesjakobmeyer avariationaltoolboxforquantummultiparameterestimation AT johannesborregaard avariationaltoolboxforquantummultiparameterestimation AT jenseisert avariationaltoolboxforquantummultiparameterestimation AT johannesjakobmeyer variationaltoolboxforquantummultiparameterestimation AT johannesborregaard variationaltoolboxforquantummultiparameterestimation AT jenseisert variationaltoolboxforquantummultiparameterestimation
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A variational toolbox for quantum multi-parameter estimation

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