Quantum walk and its application domains: A systematic review

K Kadian, S Garhwal, A Kumar - Computer Science Review, 2021 - Elsevier
Quantum random walk is the quantum counterpart of a classical random walk. The classical
random walk concept has long been used as a computational framework for designing …

Quantum walks and Dirac cellular automata on a programmable trapped-ion quantum computer

C Huerta Alderete, S Singh, NH Nguyen, D Zhu… - Nature …, 2020 - nature.com
The quantum walk formalism is a widely used and highly successful framework for modeling
quantum systems, such as simulations of the Dirac equation, different dynamics in both the …

Universal quantum computing using single-particle discrete-time quantum walk

S Singh, P Chawla, A Sarkar, CM Chandrashekar - Scientific Reports, 2021 - nature.com
Quantum walk has been regarded as a primitive to universal quantum computation. In this
paper, we demonstrate the realization of the universal set of quantum gates on two-and …

Quantum direct communication protocol using recurrence in -cycle quantum walks

SS Panda, PAA Yasir, CM Chandrashekar - Physical Review A, 2023 - APS
The ability of quantum walks to evolve in a superposition of distinct quantum states has been
used as a resource in quantum communication protocols. Under certain settings, the k-cycle …

A Hadamard walk model and its application in identification of important edges in complex networks

W Liang, F Yan, AM Iliyasu, AS Salama… - Computer …, 2022 - Elsevier
A Hadamard coin driven quantum walk (ie, Hadamard walk) model is proposed to identify
the important edges of undirected complex networks. In this proposed model, the importance …

Quantum walks on random lattices: Diffusion, localization, and the absence of parametric quantum speedup

R Duda, MN Ivaki, I Sahlberg, K Pöyhönen… - Physical Review …, 2023 - APS
Discrete-time quantum walks, quantum generalizations of classical random walks, provide a
framework for quantum information processing, quantum algorithms, and quantum …

Generalized quantum PageRank algorithm with arbitrary phase rotations

SA Ortega, MA Martin-Delgado - Physical Review Research, 2023 - APS
The quantization of the PageRank algorithm is a promising tool for a future quantum internet.
Here we present a modification of the quantum PageRank, introducing arbitrary phase …

Circuit implementation of discrete-time quantum walks via the shunt decomposition method

A Wing-Bocanegra, SE Venegas-Andraca - Quantum Information …, 2023 - Springer
Several models have been proposed to build evolution operators to perform quantum walks
in a theoretical way, although when wanting to map the resulting evolution operators into …

Efficient Implementation of Discrete-Time Quantum Walks on Quantum Computers

L Razzoli, G Cenedese, M Bondani, G Benenti - Entropy, 2024 - mdpi.com
Quantum walks have proven to be a universal model for quantum computation and to
provide speed-up in certain quantum algorithms. The discrete-time quantum walk (DTQW) …

Randomized SearchRank: A semiclassical approach to a quantum search engine

SA Ortega, MA Martin-Delgado - Physical Review Research, 2024 - APS
The quantum SearchRank algorithm is a promising tool for a future quantum search engine
based on PageRank quantization. However, this algorithm loses its functionality when the …