Bounds for coherence of quantum superpositions in high dimension

Quantum coherence plays a major role in the promotion for quantum information processing and designing quantum technology. Since coherence is rooted in superposition principle, it is vital to understand the coherence change with respect to superpositions. Here we study the bounds for coherence of qu...

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Autores principales: Yue, Qiu-Ling, Gao, Fei, Wen, Qiao-Yan, Zhang, Wei-Wei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2017
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5479875/
https://www.ncbi.nlm.nih.gov/pubmed/28638098
http://dx.doi.org/10.1038/s41598-017-03885-5
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author Yue, Qiu-Ling
Gao, Fei
Wen, Qiao-Yan
Zhang, Wei-Wei
author_facet Yue, Qiu-Ling
Gao, Fei
Wen, Qiao-Yan
Zhang, Wei-Wei
author_sort Yue, Qiu-Ling
collection PubMed
description Quantum coherence plays a major role in the promotion for quantum information processing and designing quantum technology. Since coherence is rooted in superposition principle, it is vital to understand the coherence change with respect to superpositions. Here we study the bounds for coherence of quantum superpositions in high dimension. We consider three most frequently used measures of coherence, i.e. the relative entropy of coherence, l (1) norm of coherence and robustness of coherence. For a quantum state (an arbitrary dimension) and its arbitrary decomposition, we give the upper and lower bounds for coherence of the superposition state in terms of the coherence of the states being superposed.
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spelling pubmed-54798752017-06-23 Bounds for coherence of quantum superpositions in high dimension Yue, Qiu-Ling Gao, Fei Wen, Qiao-Yan Zhang, Wei-Wei Sci Rep Article Quantum coherence plays a major role in the promotion for quantum information processing and designing quantum technology. Since coherence is rooted in superposition principle, it is vital to understand the coherence change with respect to superpositions. Here we study the bounds for coherence of quantum superpositions in high dimension. We consider three most frequently used measures of coherence, i.e. the relative entropy of coherence, l (1) norm of coherence and robustness of coherence. For a quantum state (an arbitrary dimension) and its arbitrary decomposition, we give the upper and lower bounds for coherence of the superposition state in terms of the coherence of the states being superposed. Nature Publishing Group UK 2017-06-21 /pmc/articles/PMC5479875/ /pubmed/28638098 http://dx.doi.org/10.1038/s41598-017-03885-5 Text en © The Author(s) 2017 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Yue, Qiu-Ling
Gao, Fei
Wen, Qiao-Yan
Zhang, Wei-Wei
Bounds for coherence of quantum superpositions in high dimension
title Bounds for coherence of quantum superpositions in high dimension
title_full Bounds for coherence of quantum superpositions in high dimension
title_fullStr Bounds for coherence of quantum superpositions in high dimension
title_full_unstemmed Bounds for coherence of quantum superpositions in high dimension
title_short Bounds for coherence of quantum superpositions in high dimension
title_sort bounds for coherence of quantum superpositions in high dimension
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5479875/
https://www.ncbi.nlm.nih.gov/pubmed/28638098
http://dx.doi.org/10.1038/s41598-017-03885-5
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