[图书][B] Quantum walks and search algorithms

R Portugal - 2013 - Springer
This is a textbook about quantum walks and quantum search algorithms. The readers will
take advantage of the pedagogical aspects and learn the topics faster and make less effort …

Dirac equation as a quantum walk over the honeycomb and triangular lattices

P Arrighi, G Di Molfetta, I Márquez-Martín, A Pérez - Physical Review A, 2018 - APS
A discrete-time quantum walk (QW) is essentially an operator driving the evolution of a
single particle on the lattice, through local unitaries. Some QWs admit a continuum limit …

Continuous-time quantum walks on spatially correlated noisy lattices

MAC Rossi, C Benedetti, M Borrelli, S Maniscalco… - Physical Review A, 2017 - APS
We address memory effects and diffusive properties of a continuous-time quantum walk on a
one-dimensional percolation lattice affected by spatially correlated random telegraph noise …

From curved spacetime to spacetime-dependent local unitaries over the honeycomb and triangular quantum walks

P Arrighi, G Di Molfetta, I Marquez-Martin, A Perez - Scientific reports, 2019 - nature.com
A discrete-time Quantum Walk (QW) is an operator driving the evolution of a single particle
on the lattice, through local unitaries. In a previous paper, we showed that QWs over the …

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 …

[HTML][HTML] Quantum walk transport on carbon nanotube structures

J Mareš, J Novotný, I Jex - Physics Letters A, 2020 - Elsevier
We study source-to-sink excitation transport on carbon nanotubes using the concept of
quantum walks. In particular, we focus on transport properties of Grover coined quantum …

Percolated quantum walks with a general shift operator: From trapping to transport

J Mareš, J Novotný, I Jex - Physical Review A, 2019 - APS
We present an alternative definition of discrete-time coined quantum walks convenient for
capturing a rather broad spectrum of a walker's behavior on arbitrary graphs. It includes and …

Counterintuitive role of geometry in transport by quantum walks

J Mareš, J Novotný, M Štefaňák, I Jex - Physical Review A, 2020 - APS
Quantum walks are accepted as a generic model for quantum transport. The character of the
transport crucially depends on the properties of the walk like its geometry and the driving …

Continuous-time quantum walks on planar lattices and the role of the magnetic field

L Razzoli, MGA Paris, P Bordone - Physical Review A, 2020 - APS
We address the dynamics of continuous-time quantum walk (CTQW) on planar two-
dimensional (2D) lattice graphs, ie, those forming a regular tessellation of the Euclidean …

[HTML][HTML] Quantum walks in spaces with applied potentials

GD Varsamis, IG Karafyllidis, GC Sirakoulis - The European Physical …, 2023 - Springer
Discrete quantum walks are a universal model of quantum computation equivalent to the
quantum circuit model and can be mapped onto quantum circuits and executed using …