Quantum transport on multilayer generalized scale-free networks

Publikation: Beitrag in FachzeitschriftForschungsartikelBeigetragenBegutachtung

Beitragende

Abstract

Westudy single-particle quantum transport on multilayer generalized scale-free networks using the continuous-time quantum walk model. Our focus is directed at the average return probability and its long-time average value as measures for the transport efficiency. In the continuous-time model these quantities are completely determined by all the eigenvalues and eigenvectors of the connectivity matrix. For all multilayer networks a nontrivial interplay between good spreading and localization effects is observed. The spreading is enhanced by increasing the number of layers L or the power-law exponent γ of the degree distribution. For our choice of the parameters, namely L (1„L„50) or γ (1„γ„4), the quantum efficiency is increased by at least one order of magnitude. The topological transition between networks without loops, which corresponds to a single scale-free network layer (L=1), and networks with loops (L=2) is the most impactful. Another important change occurs when L gets higher than the average diameter d of the layers, namely a new scaling behavior for random walks and lower fluctuations around the long-time average value for quantum walks. The
quantum transport is more sensitive to changes of the minimum allowed degree, Kmin, than to the maximum allowed degree, Kmax. The same quantum efficiency is found by varying at least one of the parameters: L, γ, Kmin, orKmax, although the network’s topology is different. The quantum efficiency of all multilayer scale-free networks shows a universal behavior for any size of the layers, more precise, is inversely proportional to the number of layers.

Details

OriginalspracheEnglisch
Aufsatznummer035120
Seitenumfang18
FachzeitschriftPhysica Scripta
Jahrgang99
Ausgabenummer3
PublikationsstatusVeröffentlicht - 27 Feb. 2024
Peer-Review-StatusJa

Externe IDs

Scopus 85186116500
ORCID /0000-0002-7806-3525/work/155290127
unpaywall 10.1088/1402-4896/ad29cf
Mendeley a96f76a2-cd38-3a3d-9522-f1037ddcc252

Schlagworte

Schlagwörter

  • quantum walks, multilayer networks, scale free networks

Bibliotheksschlagworte