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Uncertainty Relation Based on Wigner–Yanase–Dyson Skew Information with Quantum Memory

We present uncertainty relations based on Wigner–Yanase–Dyson skew information with quantum memory. Uncertainty inequalities both in product and summation forms are derived. It is shown that the lower bounds contain two terms: one characterizes the degree of compatibility of two measurements, and th...

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Detalles Bibliográficos
Autores principales: Li, Jun, Fei, Shao-Ming
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512626/
https://www.ncbi.nlm.nih.gov/pubmed/33265223
http://dx.doi.org/10.3390/e20020132
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author Li, Jun
Fei, Shao-Ming
author_facet Li, Jun
Fei, Shao-Ming
author_sort Li, Jun
collection PubMed
description We present uncertainty relations based on Wigner–Yanase–Dyson skew information with quantum memory. Uncertainty inequalities both in product and summation forms are derived. It is shown that the lower bounds contain two terms: one characterizes the degree of compatibility of two measurements, and the other is the quantum correlation between the measured system and the quantum memory. Detailed examples are given for product, separable and entangled states.
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spelling pubmed-75126262020-11-09 Uncertainty Relation Based on Wigner–Yanase–Dyson Skew Information with Quantum Memory Li, Jun Fei, Shao-Ming Entropy (Basel) Article We present uncertainty relations based on Wigner–Yanase–Dyson skew information with quantum memory. Uncertainty inequalities both in product and summation forms are derived. It is shown that the lower bounds contain two terms: one characterizes the degree of compatibility of two measurements, and the other is the quantum correlation between the measured system and the quantum memory. Detailed examples are given for product, separable and entangled states. MDPI 2018-02-20 /pmc/articles/PMC7512626/ /pubmed/33265223 http://dx.doi.org/10.3390/e20020132 Text en © 2018 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
Li, Jun
Fei, Shao-Ming
Uncertainty Relation Based on Wigner–Yanase–Dyson Skew Information with Quantum Memory
title Uncertainty Relation Based on Wigner–Yanase–Dyson Skew Information with Quantum Memory
title_full Uncertainty Relation Based on Wigner–Yanase–Dyson Skew Information with Quantum Memory
title_fullStr Uncertainty Relation Based on Wigner–Yanase–Dyson Skew Information with Quantum Memory
title_full_unstemmed Uncertainty Relation Based on Wigner–Yanase–Dyson Skew Information with Quantum Memory
title_short Uncertainty Relation Based on Wigner–Yanase–Dyson Skew Information with Quantum Memory
title_sort uncertainty relation based on wigner–yanase–dyson skew information with quantum memory
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512626/
https://www.ncbi.nlm.nih.gov/pubmed/33265223
http://dx.doi.org/10.3390/e20020132
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