Quantum walks on complex networks with connection instabilities and community structure

Details Quantum walks on complex networks with connection instabilities and community structure Quantum walks on complex networks with connection instabilities and community structure

2010-12-10

arxiv.org/abs/1012.2405v2

Phys. Rev. A 83, 052315 (2011)

Physics

Quantum Physics

5.1 pages, 4 figures; Shift of focus towards quantum networks (published version)

Scientific paper

10.1103/PhysRevA.83.052315

A continuous-time quantum walk is investigated on complex networks with the characteristic property of community structure, which is shared by most real-world networks. Motivated by the prospect of viable quantum networks, I focus on the effects of network instabilities in the form of broken links, and examine the response of the quantum walk to such failures. It is shown that the reconfiguration of the quantum walk is determined by the community structure of the network. In this context, quantum walks based on the adjacency and Laplacian matrices of the network are compared, and their responses to link failures is analyzed.

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