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Quantum Information Processing

Quantum transport on large-scale sparse regular networks by using continuous-time quantum walk

Xi Li, Hanwu Chen, Mingyou Wu, Yue Ruan, Zhihao Liu, Jianing Tan

Published Jul 9, 2020• 3 citations
Publisher
DOI
10.1007/s11128-020-02731-4

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We consider continuous-time quantum walks (CTQWs) on multilayer dendrimer networks (MDs) and their application to quantum transport. A detailed study of properties of CTQWs is presented and transport efficiency is determined in terms of the exact and average return probabilities. The latter depends only on the eigenvalues of the connectivity matrix, which even for very large structures allows a complete analytical solution for this particular choice of network. In the case of MDs we observe an interplay between strong localization effects, due to the dendrimer topology, and good efficiency from the linear segments. We show that quantum transport is enhanced by interconnecting more layers of dendrimers.