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 …

We study maximal coin-position entanglement generation via a discrete-time quantum walk,
in which the coin operation is randomly selected from one of two coin operators set at each …

The aim of this paper is to build quantum circuits that implement discrete-time quantum
walks having an arbitrary position-dependent coin operator. The position of the walker is …

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 …

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 …

Dirac particle represents a fundamental constituent of our nature. Simulation of Dirac particle
dynamics by a controllable quantum system using quantum walks will allow us to investigate …

Bloch oscillations appear when an electric field is superimposed on a quantum particle that
evolves on a lattice with a tight-binding Hamiltonian (TBH), ie, evolves via what we call an …

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 …

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 …

We analyze the effect of a simple coin operator, built out of Bell pairs, in a 2d Discrete
Quantum Random Walk (DQRW) problem. The specific form of the coin enables us to find …