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 with sequential aperiodic jumps

MA Pires, SMD Queirós - Physical Review E, 2020 - APS
We analyze a set of discrete-time quantum walks for which the displacements on a chain
follow binary aperiodic jumps according to three paradigmatic sequences: Fibonacci, Thue …

Parrondo's paradox in quantum walks with time-dependent coin operators

MA Pires, SMD Queirós - Physical Review E, 2020 - APS
Parrondo's paradox in quantum walks with time-dependent coin operators Page 1
PHYSICAL REVIEW E 102, 042124 (2020) Parrondo’s paradox in quantum walks with time-dependent …

Parrondo's effect in continuous-time quantum walks

JJ **menes, MA Pires, JM Villas-Bôas - Physical Review A, 2024 - APS
We present a manifestation of a Parrondo's effect in a continuous-time quantum walk
(CTQW). In our protocol we consider a CTQW in the presence of a time-dependent transition …

Aperiodic space-inhomogeneous quantum walks: Localization properties, energy spectra, and enhancement of entanglement

ARC Buarque, WS Dias - Physical Review E, 2019 - APS
We study the localization properties, energy spectra, and coin-position entanglement of the
aperiodic discrete-time quantum walks. The aperiodicity is described by spatially dependent …

On the almost sure central limit theorem for the elephant random walk

VHV Guevara - Journal of Physics A: Mathematical and …, 2019 - iopscience.iop.org
In this paper we present versions of the almost sure central limit theorem for both the scalar
and multi-dimensional elephant random walk based in the almost sure central limit for …

Enhancing entanglement with the generalized elephant quantum walk from localized and delocalized states

CB Naves, MA Pires, DO Soares-Pinto, SMD Queirós - Physical Review A, 2022 - APS
Recently, a generalization of a nonstandard step operator named the elephant quantum
walk (EQW) was introduced. With proper statistical distribution for the steps, that generalized …

Multiple transitions between normal and hyperballistic diffusion in quantum walks with time-dependent jumps

MA Pires, GD Molfetta, SMD Queirós - Scientific Reports, 2019 - nature.com
We extend to the gamut of functional forms of the probability distribution of the time-
dependent step-length a previous model dubbed Elephant Quantum Walk, which considers …

Negative correlations can play a positive role in disordered quantum walks

MA Pires, SM Duarte Queirós - Scientific Reports, 2021 - nature.com
We investigate the emerging properties of quantum walks with temporal disorder
engineered from a binary Markov chain with tailored correlation, C, and disorder strength, r …

Quantum walks in two dimensions: controlling directional spreading with entangling coins and tunable disordered step operator

CB Naves, MA Pires, DO Soares-Pinto… - Journal of Physics A …, 2023 - iopscience.iop.org
We study a 2D disordered discrete-time quantum walk (QW) based on 1D generalized
elephant QW where an entangling coin operator is assumed. We show that considering a …