Neutron optical test of completeness of quantum root-mean-square errors

Abstract While in classical mechanics the mean error of a measurement is solely caused by the measuring process (or device), in quantum mechanics the operator-based nature of quantum measurements has to be considered in the error measure as well. One of the major problems in quantum physics has been...

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Autores principales:	Stephan Sponar, Armin Danner, Masanao Ozawa, Yuji Hasegawa
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/2a228383755a49f58ddec71d7c47c5dd
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spelling	oai:doaj.org-article:2a228383755a49f58ddec71d7c47c5dd2021-12-02T14:34:01ZNeutron optical test of completeness of quantum root-mean-square errors10.1038/s41534-021-00437-82056-6387https://doaj.org/article/2a228383755a49f58ddec71d7c47c5dd2021-06-01T00:00:00Zhttps://doi.org/10.1038/s41534-021-00437-8https://doaj.org/toc/2056-6387Abstract While in classical mechanics the mean error of a measurement is solely caused by the measuring process (or device), in quantum mechanics the operator-based nature of quantum measurements has to be considered in the error measure as well. One of the major problems in quantum physics has been to generalize the classical root-mean-square error to quantum measurements to obtain an error measure satisfying both soundness (to vanish for any accurate measurements) and completeness (to vanish only for accurate measurements). A noise-operator-based error measure has been commonly used for this purpose, but it has turned out incomplete. Recently, Ozawa proposed an improved definition for a noise-operator-based error measure to be both sound and complete. Here, we present a neutron optical demonstration for the completeness of the improved error measure for both projective (or sharp) as well as generalized (or unsharp) measurements.Stephan SponarArmin DannerMasanao OzawaYuji HasegawaNature PortfolioarticlePhysicsQC1-999Electronic computers. Computer scienceQA75.5-76.95ENnpj Quantum Information, Vol 7, Iss 1, Pp 1-6 (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 Stephan Sponar Armin Danner Masanao Ozawa Yuji Hasegawa Neutron optical test of completeness of quantum root-mean-square errors
description	Abstract While in classical mechanics the mean error of a measurement is solely caused by the measuring process (or device), in quantum mechanics the operator-based nature of quantum measurements has to be considered in the error measure as well. One of the major problems in quantum physics has been to generalize the classical root-mean-square error to quantum measurements to obtain an error measure satisfying both soundness (to vanish for any accurate measurements) and completeness (to vanish only for accurate measurements). A noise-operator-based error measure has been commonly used for this purpose, but it has turned out incomplete. Recently, Ozawa proposed an improved definition for a noise-operator-based error measure to be both sound and complete. Here, we present a neutron optical demonstration for the completeness of the improved error measure for both projective (or sharp) as well as generalized (or unsharp) measurements.
format	article
author	Stephan Sponar Armin Danner Masanao Ozawa Yuji Hasegawa
author_facet	Stephan Sponar Armin Danner Masanao Ozawa Yuji Hasegawa
author_sort	Stephan Sponar
title	Neutron optical test of completeness of quantum root-mean-square errors
title_short	Neutron optical test of completeness of quantum root-mean-square errors
title_full	Neutron optical test of completeness of quantum root-mean-square errors
title_fullStr	Neutron optical test of completeness of quantum root-mean-square errors
title_full_unstemmed	Neutron optical test of completeness of quantum root-mean-square errors
title_sort	neutron optical test of completeness of quantum root-mean-square errors
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/2a228383755a49f58ddec71d7c47c5dd
work_keys_str_mv	AT stephansponar neutronopticaltestofcompletenessofquantumrootmeansquareerrors AT armindanner neutronopticaltestofcompletenessofquantumrootmeansquareerrors AT masanaoozawa neutronopticaltestofcompletenessofquantumrootmeansquareerrors AT yujihasegawa neutronopticaltestofcompletenessofquantumrootmeansquareerrors
_version_	1718391119092383744

Neutron optical test of completeness of quantum root-mean-square errors

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