Zero uncertainty states in the presence of quantum memory

Abstract The uncertainty principle imposes a fundamental limit on predicting the measurement outcomes of incompatible observables even if complete classical information of the system state is known. The situation is different if one can build a quantum memory entangled with the system. Zero uncertai...

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Autor principal:	Huangjun Zhu
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/43fa8d1bd84e4d01a205009bb10ddc4e
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spelling	oai:doaj.org-article:43fa8d1bd84e4d01a205009bb10ddc4e2021-12-02T13:19:24ZZero uncertainty states in the presence of quantum memory10.1038/s41534-021-00384-42056-6387https://doaj.org/article/43fa8d1bd84e4d01a205009bb10ddc4e2021-03-01T00:00:00Zhttps://doi.org/10.1038/s41534-021-00384-4https://doaj.org/toc/2056-6387Abstract The uncertainty principle imposes a fundamental limit on predicting the measurement outcomes of incompatible observables even if complete classical information of the system state is known. The situation is different if one can build a quantum memory entangled with the system. Zero uncertainty states (in contrast with minimum uncertainty states) are peculiar quantum states that can eliminate uncertainties of incompatible von Neumann observables once assisted by suitable measurements on the memory. Here we determine all zero uncertainty states of any given set of nondegenerate observables and determine the minimum entanglement required. It turns out all zero uncertainty states are maximally entangled in a generic case, and vice versa, even if these observables are only weakly incompatible. Our work establishes a simple and precise connection between zero uncertainty and maximum entanglement, which is of interest to foundational studies and practical applications, including quantum certification and verification.Huangjun ZhuNature 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 Huangjun Zhu Zero uncertainty states in the presence of quantum memory
description	Abstract The uncertainty principle imposes a fundamental limit on predicting the measurement outcomes of incompatible observables even if complete classical information of the system state is known. The situation is different if one can build a quantum memory entangled with the system. Zero uncertainty states (in contrast with minimum uncertainty states) are peculiar quantum states that can eliminate uncertainties of incompatible von Neumann observables once assisted by suitable measurements on the memory. Here we determine all zero uncertainty states of any given set of nondegenerate observables and determine the minimum entanglement required. It turns out all zero uncertainty states are maximally entangled in a generic case, and vice versa, even if these observables are only weakly incompatible. Our work establishes a simple and precise connection between zero uncertainty and maximum entanglement, which is of interest to foundational studies and practical applications, including quantum certification and verification.
format	article
author	Huangjun Zhu
author_facet	Huangjun Zhu
author_sort	Huangjun Zhu
title	Zero uncertainty states in the presence of quantum memory
title_short	Zero uncertainty states in the presence of quantum memory
title_full	Zero uncertainty states in the presence of quantum memory
title_fullStr	Zero uncertainty states in the presence of quantum memory
title_full_unstemmed	Zero uncertainty states in the presence of quantum memory
title_sort	zero uncertainty states in the presence of quantum memory
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/43fa8d1bd84e4d01a205009bb10ddc4e
work_keys_str_mv	AT huangjunzhu zerouncertaintystatesinthepresenceofquantummemory
_version_	1718393268035649536

Zero uncertainty states in the presence of quantum memory

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