Entropic Uncertainty Relation and Information Exclusion Relation for multiple measurements in the presence of quantum memory

The Heisenberg uncertainty principle shows that no one can specify the values of the non-commuting canonically conjugated variables simultaneously. However, the uncertainty relation is usually applied to two incompatible measurements. We present tighter bounds on both entropic uncertainty relation a...

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Detalles Bibliográficos
Autores principales: Zhang, Jun, Zhang, Yang, Yu, Chang-shui
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group 2015
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4484352/
https://www.ncbi.nlm.nih.gov/pubmed/26118488
http://dx.doi.org/10.1038/srep11701
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author Zhang, Jun
Zhang, Yang
Yu, Chang-shui
author_facet Zhang, Jun
Zhang, Yang
Yu, Chang-shui
author_sort Zhang, Jun
collection PubMed
description The Heisenberg uncertainty principle shows that no one can specify the values of the non-commuting canonically conjugated variables simultaneously. However, the uncertainty relation is usually applied to two incompatible measurements. We present tighter bounds on both entropic uncertainty relation and information exclusion relation for multiple measurements in the presence of quantum memory. As applications, three incompatible measurements on Werner state and Horodecki’s bound entangled state are investigated in details.
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spelling pubmed-44843522015-07-08 Entropic Uncertainty Relation and Information Exclusion Relation for multiple measurements in the presence of quantum memory Zhang, Jun Zhang, Yang Yu, Chang-shui Sci Rep Article The Heisenberg uncertainty principle shows that no one can specify the values of the non-commuting canonically conjugated variables simultaneously. However, the uncertainty relation is usually applied to two incompatible measurements. We present tighter bounds on both entropic uncertainty relation and information exclusion relation for multiple measurements in the presence of quantum memory. As applications, three incompatible measurements on Werner state and Horodecki’s bound entangled state are investigated in details. Nature Publishing Group 2015-06-29 /pmc/articles/PMC4484352/ /pubmed/26118488 http://dx.doi.org/10.1038/srep11701 Text en Copyright © 2015, Macmillan Publishers Limited http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
spellingShingle Article
Zhang, Jun
Zhang, Yang
Yu, Chang-shui
Entropic Uncertainty Relation and Information Exclusion Relation for multiple measurements in the presence of quantum memory
title Entropic Uncertainty Relation and Information Exclusion Relation for multiple measurements in the presence of quantum memory
title_full Entropic Uncertainty Relation and Information Exclusion Relation for multiple measurements in the presence of quantum memory
title_fullStr Entropic Uncertainty Relation and Information Exclusion Relation for multiple measurements in the presence of quantum memory
title_full_unstemmed Entropic Uncertainty Relation and Information Exclusion Relation for multiple measurements in the presence of quantum memory
title_short Entropic Uncertainty Relation and Information Exclusion Relation for multiple measurements in the presence of quantum memory
title_sort entropic uncertainty relation and information exclusion relation for multiple measurements in the presence of quantum memory
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4484352/
https://www.ncbi.nlm.nih.gov/pubmed/26118488
http://dx.doi.org/10.1038/srep11701
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AT yuchangshui entropicuncertaintyrelationandinformationexclusionrelationformultiplemeasurementsinthepresenceofquantummemory

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