[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 …
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 …
single particle on the lattice, through local unitaries. Some QWs admit a continuum limit …
Continuous-time quantum walks on spatially correlated noisy lattices
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 …
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 …
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 …
by using the continuous-time quantum walk (CTQW) model. For various relevant topologies …
[HTML][HTML] Quantum walk transport on carbon nanotube structures
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 …
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
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 …
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
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 …
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
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 …
dimensional (2D) lattice graphs, ie, those forming a regular tessellation of the Euclidean …
[HTML][HTML] Quantum walks in spaces with applied potentials
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 …
quantum circuit model and can be mapped onto quantum circuits and executed using …