Entropy Evolution in Consensus Networks
Date
2017
Authors
Fu, Shuangshuang
Shi, Guodong
Petersen, Ian
James, Matthew
Journal Title
Journal ISSN
Volume Title
Publisher
Nature Publishing Group
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
Description
Keywords
Citation
Collections
Source
Scientific Reports
Type
Journal article