A Note on the Hierarchy of Quantum Measurement Incompatibilities

The quantum measurement incompatibility is a distinctive feature of quantum mechanics. We investigate the incompatibility of a set of general measurements and classify the incompatibility by the hierarchy of compatibilities of its subsets. By using the approach of adding noises to measurement operat...

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Autores principales: Sun, Bao-Zhi, Wang, Zhi-Xi, Li-Jost, Xianqing, Fei, Shao-Ming
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7516579/
https://www.ncbi.nlm.nih.gov/pubmed/33285936
http://dx.doi.org/10.3390/e22020161
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author Sun, Bao-Zhi
Wang, Zhi-Xi
Li-Jost, Xianqing
Fei, Shao-Ming
author_facet Sun, Bao-Zhi
Wang, Zhi-Xi
Li-Jost, Xianqing
Fei, Shao-Ming
author_sort Sun, Bao-Zhi
collection PubMed
description The quantum measurement incompatibility is a distinctive feature of quantum mechanics. We investigate the incompatibility of a set of general measurements and classify the incompatibility by the hierarchy of compatibilities of its subsets. By using the approach of adding noises to measurement operators, we present a complete classification of the incompatibility of a given measurement assemblage with n members. Detailed examples are given for the incompatibility of unbiased qubit measurements based on a semidefinite program.
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spelling pubmed-75165792020-11-09 A Note on the Hierarchy of Quantum Measurement Incompatibilities Sun, Bao-Zhi Wang, Zhi-Xi Li-Jost, Xianqing Fei, Shao-Ming Entropy (Basel) Article The quantum measurement incompatibility is a distinctive feature of quantum mechanics. We investigate the incompatibility of a set of general measurements and classify the incompatibility by the hierarchy of compatibilities of its subsets. By using the approach of adding noises to measurement operators, we present a complete classification of the incompatibility of a given measurement assemblage with n members. Detailed examples are given for the incompatibility of unbiased qubit measurements based on a semidefinite program. MDPI 2020-01-30 /pmc/articles/PMC7516579/ /pubmed/33285936 http://dx.doi.org/10.3390/e22020161 Text en © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Sun, Bao-Zhi
Wang, Zhi-Xi
Li-Jost, Xianqing
Fei, Shao-Ming
A Note on the Hierarchy of Quantum Measurement Incompatibilities
title A Note on the Hierarchy of Quantum Measurement Incompatibilities
title_full A Note on the Hierarchy of Quantum Measurement Incompatibilities
title_fullStr A Note on the Hierarchy of Quantum Measurement Incompatibilities
title_full_unstemmed A Note on the Hierarchy of Quantum Measurement Incompatibilities
title_short A Note on the Hierarchy of Quantum Measurement Incompatibilities
title_sort note on the hierarchy of quantum measurement incompatibilities
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7516579/
https://www.ncbi.nlm.nih.gov/pubmed/33285936
http://dx.doi.org/10.3390/e22020161
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