Purity-Based Continuity Bounds for von Neumann Entropy

We propose continuity bounds for the von Neumann entropy of qubits whose difference in purity is bounded. Considering the purity difference of two qubits to capture the notion of distance between them results into bounds which are demonstrably tighter than the trace distance-based existing continuit...

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Detalles Bibliográficos
Autores principales: ur Rehman, Junaid, Shin, Hyundong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2019
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6763486/
https://www.ncbi.nlm.nih.gov/pubmed/31558751
http://dx.doi.org/10.1038/s41598-019-50309-7
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author ur Rehman, Junaid
Shin, Hyundong
author_facet ur Rehman, Junaid
Shin, Hyundong
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description We propose continuity bounds for the von Neumann entropy of qubits whose difference in purity is bounded. Considering the purity difference of two qubits to capture the notion of distance between them results into bounds which are demonstrably tighter than the trace distance-based existing continuity bounds of quantum states. Continuity bounds can be utilized in bounding the information-theoretic quantities which are generally difficult to compute.
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spelling pubmed-67634862019-10-02 Purity-Based Continuity Bounds for von Neumann Entropy ur Rehman, Junaid Shin, Hyundong Sci Rep Article We propose continuity bounds for the von Neumann entropy of qubits whose difference in purity is bounded. Considering the purity difference of two qubits to capture the notion of distance between them results into bounds which are demonstrably tighter than the trace distance-based existing continuity bounds of quantum states. Continuity bounds can be utilized in bounding the information-theoretic quantities which are generally difficult to compute. Nature Publishing Group UK 2019-09-26 /pmc/articles/PMC6763486/ /pubmed/31558751 http://dx.doi.org/10.1038/s41598-019-50309-7 Text en © The Author(s) 2019 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
ur Rehman, Junaid
Shin, Hyundong
Purity-Based Continuity Bounds for von Neumann Entropy
title Purity-Based Continuity Bounds for von Neumann Entropy
title_full Purity-Based Continuity Bounds for von Neumann Entropy
title_fullStr Purity-Based Continuity Bounds for von Neumann Entropy
title_full_unstemmed Purity-Based Continuity Bounds for von Neumann Entropy
title_short Purity-Based Continuity Bounds for von Neumann Entropy
title_sort purity-based continuity bounds for von neumann entropy
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6763486/
https://www.ncbi.nlm.nih.gov/pubmed/31558751
http://dx.doi.org/10.1038/s41598-019-50309-7
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