Limit theorems and localization of three-state quantum walks on a line defined by generalized Grover coins
In this article, we undertake a detailed study of the limiting behavior of a three-state discrete-
time quantum walk on a one-dimensional lattice with generalized Grover coins. Two limit …
time quantum walk on a one-dimensional lattice with generalized Grover coins. Two limit …
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 …
Logarithmic expansion of many-body wave packets in random potentials
Anderson localization confines the wave function of a quantum particle in a one-dimensional
random potential to a volume of the order of the localization length ξ. Nonlinear add-ons to …
random potential to a volume of the order of the localization length ξ. Nonlinear add-ons to …
Localization of two dimensional quantum walks defined by generalized Grover coins
Localization phenomena of quantum walks makes the propagation dynamics of a walker
strikingly different from that corresponding to classical random walks. In this paper, we study …
strikingly different from that corresponding to classical random walks. In this paper, we study …
Strongly trapped space-inhomogeneous quantum walks in one dimension
C Kiumi, K Saito - Quantum Information Processing, 2022 - Springer
Localization is a characteristic phenomenon of discrete-time space-inhomogeneous
quantum walks on the one-dimensional integer lattice, where particles remain localized …
quantum walks on the one-dimensional integer lattice, where particles remain localized …
Spectral analysis for a multi-dimensional split-step quantum walk with a defect
T Fuda, A Narimatsu, K Saito, A Suzuki - Quantum Studies: Mathematics …, 2022 - Springer
This paper studies the spectrum of a multi-dimensional split-step quantum walk with a defect
that cannot be analyzed in previous papers by Fuda et al.(Quantum Inf Process 18: 203 …
that cannot be analyzed in previous papers by Fuda et al.(Quantum Inf Process 18: 203 …
Topological delocalization in the completely disordered two-dimensional quantum walk
We investigate numerically and theoretically the effect of spatial disorder on two-
dimensional split-step discrete-time quantum walks with two internal “coin” states. Spatial …
dimensional split-step discrete-time quantum walks with two internal “coin” states. Spatial …
[PDF][PDF] 格子上の量子ウォークのサポートに関する研究
高橋佐良人， タカハシサラト - 2022 - ynu.repo.nii.ac.jp
量子ウォークは, ランダムウォークの量子版として紹介されることが多いが, その挙動はランダム
ウォークとは大きく異なる. また, 100 年以上あるとされるランダムウォークの研究の歴史と比較して …
ウォークとは大きく異なる. また, 100 年以上あるとされるランダムウォークの研究の歴史と比較して …