Quantum walks: a comprehensive review

SE Venegas-Andraca - Quantum Information Processing, 2012 - Springer
Quantum walks, the quantum mechanical counterpart of classical random walks, is an
advanced tool for building quantum algorithms that has been recently shown to constitute a …

Continuous-time quantum walks: Models for coherent transport on complex networks

O Mülken, A Blumen - Physics Reports, 2011 - Elsevier
This paper reviews recent advances in continuous-time quantum walks (CTQW) and their
application to transport in various systems. The introduction gives a brief survey of the …

Degree distribution in quantum walks on complex networks

M Faccin, T Johnson, J Biamonte, S Kais, P Migdał - Physical Review X, 2013 - APS
In this theoretical study, we analyze quantum walks on complex networks, which model
network-based processes ranging from quantum computing to biology and even sociology …

[HTML][HTML] Swift chiral quantum walks

M Frigerio, MGA Paris - Linear Algebra and its Applications, 2023 - Elsevier
A continuous-time quantum walk (CTQW) is sedentary if the return probability in the starting
vertex is close to one at all times. Recent results imply that, when starting from a maximal …

Transport efficiency of continuous-time quantum walks on graphs

L Razzoli, MGA Paris, P Bordone - Entropy, 2021 - mdpi.com
Continuous-time quantum walk describes the propagation of a quantum particle (or an
excitation) evolving continuously in time on a graph. As such, it provides a natural framework …

Quantum transport on honeycomb networks

G Maquiné Batalha, A Volta, WT Strunz… - Scientific Reports, 2022 - nature.com
We study the transport properties on honeycomb networks motivated by graphene structures
by using the continuous-time quantum walk (CTQW) model. For various relevant topologies …

Quantum transport on multilayer generalized scale-free networks

M Galiceanu, WT Strunz - Physica Scripta, 2024 - iopscience.iop.org
We study 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 …

Limit theorems of a two-phase quantum walk with one defect

S Endo, T Endo, N Konno, E Segawa… - arXiv preprint arXiv …, 2014 - arxiv.org
We treat a position dependent quantum walk (QW) on the line which we assign two different
time-evolution operators to positive and negative parts respectively. We call the model" the …

Perturbed graphs achieve unit transport efficiency without environmental noise

S Cavazzoni, L Razzoli, P Bordone, MGA Paris - Physical Review E, 2022 - APS
Coherent transport of an excitation through a network corresponds to continuous-time
quantum walk on a graph, and the transport properties of the system may be radically …

Quantum identity authentication scheme based on quantum walks on graphs with ibm quantum cloud platform

X Lou, S Wang, S Ren, H Zan, X Xu - International Journal of Theoretical …, 2022 - Springer
The purpose of quantum identity authentication is to confirm the identity of participants
before the communication. However, there are several flaws in the existing research:(1) The …