Entropy Evolution in Consensus Networks

Abstract We investigate the evolution of the network entropy for consensus dynamics in classical and quantum networks. We show that in the classical case, the network differential entropy is monotonically non-increasing if the node initial values are continuous random variables. While for quantum co...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Shuangshuang Fu, Guodong Shi, Ian R. Petersen, Matthew R. James
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/a9390e92acac4eca9ec3500427d47e27
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:a9390e92acac4eca9ec3500427d47e27
record_format	dspace
spelling	oai:doaj.org-article:a9390e92acac4eca9ec3500427d47e272021-12-02T16:08:21ZEntropy Evolution in Consensus Networks10.1038/s41598-017-01615-52045-2322https://doaj.org/article/a9390e92acac4eca9ec3500427d47e272017-05-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-01615-5https://doaj.org/toc/2045-2322Abstract We investigate the evolution of the network entropy for consensus dynamics in classical and quantum networks. We show that in the classical case, the network differential entropy is monotonically non-increasing if the node initial values are continuous random variables. While for quantum consensus dynamics, the network’s von Neumann entropy is in contrast non-decreasing. In light of this inconsistency, we compare several distributed algorithms with random or deterministic coefficients for classical or quantum networks, and show that quantum algorithms with deterministic coefficients are physically related to classical algorithms with random coefficients.Shuangshuang FuGuodong ShiIan R. PetersenMatthew R. JamesNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-6 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Shuangshuang Fu Guodong Shi Ian R. Petersen Matthew R. James Entropy Evolution in Consensus Networks
description	Abstract We investigate the evolution of the network entropy for consensus dynamics in classical and quantum networks. We show that in the classical case, the network differential entropy is monotonically non-increasing if the node initial values are continuous random variables. While for quantum consensus dynamics, the network’s von Neumann entropy is in contrast non-decreasing. In light of this inconsistency, we compare several distributed algorithms with random or deterministic coefficients for classical or quantum networks, and show that quantum algorithms with deterministic coefficients are physically related to classical algorithms with random coefficients.
format	article
author	Shuangshuang Fu Guodong Shi Ian R. Petersen Matthew R. James
author_facet	Shuangshuang Fu Guodong Shi Ian R. Petersen Matthew R. James
author_sort	Shuangshuang Fu
title	Entropy Evolution in Consensus Networks
title_short	Entropy Evolution in Consensus Networks
title_full	Entropy Evolution in Consensus Networks
title_fullStr	Entropy Evolution in Consensus Networks
title_full_unstemmed	Entropy Evolution in Consensus Networks
title_sort	entropy evolution in consensus networks
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/a9390e92acac4eca9ec3500427d47e27
work_keys_str_mv	AT shuangshuangfu entropyevolutioninconsensusnetworks AT guodongshi entropyevolutioninconsensusnetworks AT ianrpetersen entropyevolutioninconsensusnetworks AT matthewrjames entropyevolutioninconsensusnetworks
_version_	1718384550917177344

Entropy Evolution in Consensus Networks

Ejemplares similares