Quantum Google in a complex network.

Abstract:

:We investigate the behaviour of the recently proposed Quantum PageRank algorithm, in large complex networks. We find that the algorithm is able to univocally reveal the underlying topology of the network and to identify and order the most relevant nodes. Furthermore, it is capable to clearly highlight the structure of secondary hubs and to resolve the degeneracy in importance of the low lying part of the list of rankings. The quantum algorithm displays an increased stability with respect to a variation of the damping parameter, present in the Google algorithm, and a more clearly pronounced power-law behaviour in the distribution of importance, as compared to the classical algorithm. We test the performance and confirm the listed features by applying it to real world examples from the WWW. Finally, we raise and partially address whether the increased sensitivity of the quantum algorithm persists under coordinated attacks in scale-free and random networks.

journal_name

Sci Rep

journal_title

Scientific reports

authors

Paparo GD,Müller M,Comellas F,Martin-Delgado MA

doi

10.1038/srep02773

subject

Has Abstract

pub_date

2013-10-04 00:00:00

pages

2773

issn

2045-2322

pii

srep02773

journal_volume

3

pub_type

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