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 …

Secure data encryption based on quantum walks for 5G Internet of Things scenario

AA Abd El-Latif, B Abd-El-Atty… - … on Network and …, 2020 - ieeexplore.ieee.org
Fifth generation (5G) networks are the base communication technology for connecting
objects in the Internet of Things (IoT) environment. 5G is being developed to provide …

Observation of topologically protected bound states in photonic quantum walks

T Kitagawa, MA Broome, A Fedrizzi, MS Rudner… - Nature …, 2012 - nature.com
Topological phases exhibit some of the most striking phenomena in modern physics. Much
of the rich behaviour of quantum Hall systems, topological insulators, and topological …

Quantum Walk Computing: Theory, Implementation, and Application

X Qiang, S Ma, H Song - Intelligent Computing, 2024 - spj.science.org
The classical random walk formalism plays an important role in a wide range of applications.
Its quantum counterpart, the quantum walk, is proposed as an important theoretical model …

Quantum walks of correlated photon pairs in two-dimensional waveguide arrays

K Poulios, R Keil, D Fry, JDA Meinecke, JCF Matthews… - Physical review …, 2014 - APS
We demonstrate quantum walks of correlated photons in a two-dimensional network of
directly laser written waveguides coupled in a “swiss cross” arrangement. The correlated …

Implementation of quantum walks on IBM quantum computers

F Acasiete, FP Agostini, JK Moqadam… - Quantum Information …, 2020 - Springer
The development of universal quantum computers has achieved remarkable success in
recent years, culminating with the quantum supremacy reported by Google. Now it is …

Two-dimensional topological quantum walks in the momentum space of structured light

A D'Errico, F Cardano, M Maffei, A Dauphin, R Barboza… - Optica, 2020 - opg.optica.org
Quantum walks are powerful tools for quantum applications and for designing topological
systems. Although they are simulated in a variety of platforms, genuine two-dimensional …

Quantum walks of two correlated photons in a 2D synthetic lattice

C Esposito, MR Barros, A Durán Hernández… - npj Quantum …, 2022 - nature.com
Quantum walks represent paradigmatic quantum evolutions, enabling powerful applications
in the context of topological physics and quantum computation. They have been …

Experimental observation of topologically protected bound states with vanishing Chern numbers in a two-dimensional quantum walk

B Wang, T Chen, X Zhang - Physical Review Letters, 2018 - APS
Quantum walks (QWs) provide a powerful tool as a quantum simulator to study and
understand topological phases. Using such a quantum simulator, some topological …

Two-dimensional quantum walks of correlated photons

ZQ Jiao, J Gao, WH Zhou, XW Wang, RJ Ren, XY Xu… - Optica, 2021 - opg.optica.org
Quantum walks in an elaborately designed graph are a powerful tool for simulating physical
and topological phenomena, constructing novel quantum algorithms, and realizing universal …