Contextual Advantage for State Discrimination

Finding quantitative aspects of quantum phenomena which cannot be explained by any classical model has foundational importance for understanding the boundary between classical and quantum theory. It also has practical significance for identifying information processing tasks for which those phenomen...

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Autores principales:	David Schmid, Robert W. Spekkens
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2018
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/0cd054bdd0de44b4818021dd488769c5
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spelling	oai:doaj.org-article:0cd054bdd0de44b4818021dd488769c52021-12-02T11:44:52ZContextual Advantage for State Discrimination10.1103/PhysRevX.8.0110152160-3308https://doaj.org/article/0cd054bdd0de44b4818021dd488769c52018-02-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.8.011015http://doi.org/10.1103/PhysRevX.8.011015https://doaj.org/toc/2160-3308Finding quantitative aspects of quantum phenomena which cannot be explained by any classical model has foundational importance for understanding the boundary between classical and quantum theory. It also has practical significance for identifying information processing tasks for which those phenomena provide a quantum advantage. Using the framework of generalized noncontextuality as our notion of classicality, we find one such nonclassical feature within the phenomenology of quantum minimum-error state discrimination. Namely, we identify quantitative limits on the success probability for minimum-error state discrimination in any experiment described by a noncontextual ontological model. These constraints constitute noncontextuality inequalities that are violated by quantum theory, and this violation implies a quantum advantage for state discrimination relative to noncontextual models. Furthermore, our noncontextuality inequalities are robust to noise and are operationally formulated, so that any experimental violation of the inequalities is a witness of contextuality, independently of the validity of quantum theory. Along the way, we introduce new methods for analyzing noncontextuality scenarios and demonstrate a tight connection between our minimum-error state discrimination scenario and a Bell scenario.David SchmidRobert W. SpekkensAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 8, Iss 1, p 011015 (2018)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 David Schmid Robert W. Spekkens Contextual Advantage for State Discrimination
description	Finding quantitative aspects of quantum phenomena which cannot be explained by any classical model has foundational importance for understanding the boundary between classical and quantum theory. It also has practical significance for identifying information processing tasks for which those phenomena provide a quantum advantage. Using the framework of generalized noncontextuality as our notion of classicality, we find one such nonclassical feature within the phenomenology of quantum minimum-error state discrimination. Namely, we identify quantitative limits on the success probability for minimum-error state discrimination in any experiment described by a noncontextual ontological model. These constraints constitute noncontextuality inequalities that are violated by quantum theory, and this violation implies a quantum advantage for state discrimination relative to noncontextual models. Furthermore, our noncontextuality inequalities are robust to noise and are operationally formulated, so that any experimental violation of the inequalities is a witness of contextuality, independently of the validity of quantum theory. Along the way, we introduce new methods for analyzing noncontextuality scenarios and demonstrate a tight connection between our minimum-error state discrimination scenario and a Bell scenario.
format	article
author	David Schmid Robert W. Spekkens
author_facet	David Schmid Robert W. Spekkens
author_sort	David Schmid
title	Contextual Advantage for State Discrimination
title_short	Contextual Advantage for State Discrimination
title_full	Contextual Advantage for State Discrimination
title_fullStr	Contextual Advantage for State Discrimination
title_full_unstemmed	Contextual Advantage for State Discrimination
title_sort	contextual advantage for state discrimination
publisher	American Physical Society
publishDate	2018
url	https://doaj.org/article/0cd054bdd0de44b4818021dd488769c5
work_keys_str_mv	AT davidschmid contextualadvantageforstatediscrimination AT robertwspekkens contextualadvantageforstatediscrimination
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Contextual Advantage for State Discrimination

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