Excluding false negative error in certification of quantum channels

Abstract Certification of quantum channels is based on quantum hypothesis testing and involves also preparation of an input state and choosing the final measurement. This work primarily focuses on the scenario when the false negative error cannot occur, even if it leads to the growth of the probabil...

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Autores principales:	Aleksandra Krawiec, Łukasz Pawela, Zbigniew Puchała
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/e6d520b1e12640cc92dfc868b7c8baf5
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spelling	oai:doaj.org-article:e6d520b1e12640cc92dfc868b7c8baf52021-11-08T10:47:36ZExcluding false negative error in certification of quantum channels10.1038/s41598-021-00444-x2045-2322https://doaj.org/article/e6d520b1e12640cc92dfc868b7c8baf52021-11-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-00444-xhttps://doaj.org/toc/2045-2322Abstract Certification of quantum channels is based on quantum hypothesis testing and involves also preparation of an input state and choosing the final measurement. This work primarily focuses on the scenario when the false negative error cannot occur, even if it leads to the growth of the probability of false positive error. We establish a condition when it is possible to exclude false negative error after a finite number of queries to the quantum channel in parallel, and we provide an upper bound on the number of queries. On top of that, we found a class of channels which allow for excluding false negative error after a finite number of queries in parallel, but cannot be distinguished unambiguously. Moreover, it will be proved that parallel certification scheme is always sufficient, however the number of steps may be decreased by the use of adaptive scheme. Finally, we consider examples of certification of various classes of quantum channels and measurements.Aleksandra KrawiecŁukasz PawelaZbigniew PuchałaNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-11 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Aleksandra Krawiec Łukasz Pawela Zbigniew Puchała Excluding false negative error in certification of quantum channels
description	Abstract Certification of quantum channels is based on quantum hypothesis testing and involves also preparation of an input state and choosing the final measurement. This work primarily focuses on the scenario when the false negative error cannot occur, even if it leads to the growth of the probability of false positive error. We establish a condition when it is possible to exclude false negative error after a finite number of queries to the quantum channel in parallel, and we provide an upper bound on the number of queries. On top of that, we found a class of channels which allow for excluding false negative error after a finite number of queries in parallel, but cannot be distinguished unambiguously. Moreover, it will be proved that parallel certification scheme is always sufficient, however the number of steps may be decreased by the use of adaptive scheme. Finally, we consider examples of certification of various classes of quantum channels and measurements.
format	article
author	Aleksandra Krawiec Łukasz Pawela Zbigniew Puchała
author_facet	Aleksandra Krawiec Łukasz Pawela Zbigniew Puchała
author_sort	Aleksandra Krawiec
title	Excluding false negative error in certification of quantum channels
title_short	Excluding false negative error in certification of quantum channels
title_full	Excluding false negative error in certification of quantum channels
title_fullStr	Excluding false negative error in certification of quantum channels
title_full_unstemmed	Excluding false negative error in certification of quantum channels
title_sort	excluding false negative error in certification of quantum channels
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/e6d520b1e12640cc92dfc868b7c8baf5
work_keys_str_mv	AT aleksandrakrawiec excludingfalsenegativeerrorincertificationofquantumchannels AT łukaszpawela excludingfalsenegativeerrorincertificationofquantumchannels AT zbigniewpuchała excludingfalsenegativeerrorincertificationofquantumchannels
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Excluding false negative error in certification of quantum channels

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