Relation between quantum walks with tails and quantum walks with sinks on finite graphs
We connect the Grover walk with sinks to the Grover walk with tails. The survival probability
of the Grover walk with sinks in the long time limit is characterized by the centered …
of the Grover walk with sinks in the long time limit is characterized by the centered …
Key graph properties affecting transport efficiency of flip-flop Grover percolated quantum walks
Quantum walks exhibit properties without classical analogues. One of those is the
phenomenon of asymptotic trap**—there can be nonzero probability of the quantum …
phenomenon of asymptotic trap**—there can be nonzero probability of the quantum …
Controlled transport in chiral quantum walks on graphs
YC Yu, X Cai - New Journal of Physics, 2023 - iopscience.iop.org
We investigate novel transport properties of chiral continuous-time quantum walks (CTQWs)
on graphs. By employing a gauge transformation, we demonstrate that CTQWs on chiral …
on graphs. By employing a gauge transformation, we demonstrate that CTQWs on chiral …
Fermionic walkers driven out of equilibrium
We consider a discrete-time non-Hamiltonian dynamics of a quantum system consisting of a
finite sample locally coupled to several bi-infinite reservoirs of fermions with a translation …
finite sample locally coupled to several bi-infinite reservoirs of fermions with a translation …
Two-particle Hadamard walk on dynamically percolated line and circle
Asymptotic dynamics of a Hadamard walk of two non-interacting quantum particles on a
dynamically percolated finite line or a circle is investigated. We construct a basis of the …
dynamically percolated finite line or a circle is investigated. We construct a basis of the …
Ring-localized states, radial aperiodicity and quantum butterflies on a Cayley tree
We present an analytical method, based on a real space decimation scheme, to extract the
exact eigenvalues of a macroscopically large set of pinned localized excitations in a Cayley …
exact eigenvalues of a macroscopically large set of pinned localized excitations in a Cayley …
Two-particle Hadamard walk on dynamically percolated line
Asymptotic dynamics of a Hadamard walk of two non-interacting quantum particles on a
dynamically percolated finite line or a circle is investigated. We construct a basis of the …
dynamically percolated finite line or a circle is investigated. We construct a basis of the …
A method of approximation of discrete Schr\" odinger equation with the normalized Laplacian by discrete-time quantum walk on graphs
K Saito, E Segawa - arxiv preprint arxiv:2308.13741, 2023 - arxiv.org
We propose a class of continuous-time quantum walk models on graphs induced by a
certain class of discrete-time quantum walk models with the parameter $\epsilon\in [0, 1] …
certain class of discrete-time quantum walk models with the parameter $\epsilon\in [0, 1] …
Survival probability of the Grover walk on the ladder graph
E Segawa, S Koyama, N Konno… - Journal of Physics A …, 2023 - iopscience.iop.org
We provide a detailed analysis of the survival probability of the Grover walk on the ladder
graph with an absorbing sink. This model was discussed in Mareš et al (2020 Phys. Rev. A …
graph with an absorbing sink. This model was discussed in Mareš et al (2020 Phys. Rev. A …
Maze Solving by a Quantum Walk with Sinks and Self-Loops: Numerical Analysis
L Matsuoka, K Yuki, H Lavička, E Segawa - Symmetry, 2021 - mdpi.com
Maze-solving by natural phenomena is a symbolic result of the autonomous optimization
induced by a natural system. We present a method for finding the shortest path on a maze …
induced by a natural system. We present a method for finding the shortest path on a maze …