Quantum walks with an anisotropic coin I: spectral theory
We perform the spectral analysis of the evolution operator U of quantum walks with an
anisotropic coin, which include one-defect models, two-phase quantum walks, and …
anisotropic coin, which include one-defect models, two-phase quantum walks, and …
Quantum walks with an anisotropic coin II: scattering theory
S Richard, A Suzuki, RT de Aldecoa - Letters in Mathematical Physics, 2019 - Springer
We perform the scattering analysis of the evolution operator of quantum walks with an
anisotropic coin, and we prove a weak limit theorem for their asymptotic velocity. The …
anisotropic coin, and we prove a weak limit theorem for their asymptotic velocity. The …
Weak limit theorem for a one-dimensional split-step quantum walk
T Fuda, D Funakawa, A Suzuki - arxiv preprint arxiv:1804.05125, 2018 - arxiv.org
arxiv:1804.05125v1 [math-ph] 13 Apr 2018 Weak limit theorem for a one-dimensional split-step
quantum walk Page 1 arxiv:1804.05125v1 [math-ph] 13 Apr 2018 Weak limit theorem for a …
quantum walk Page 1 arxiv:1804.05125v1 [math-ph] 13 Apr 2018 Weak limit theorem for a …
Eigenvalues of two-phase quantum walks with one defect in one dimension
C Kiumi, K Saito - Quantum Information Processing, 2021 - Springer
We study space-inhomogeneous quantum walks (QWs) on the integer lattice which we
assign three different coin matrices to the positive part, the negative part, and the origin …
assign three different coin matrices to the positive part, the negative part, and the origin …
Stationary amplitudes of quantum walks on the higher-dimensional integer lattice
T Komatsu, N Konno - Quantum Information Processing, 2017 - Springer
Stationary measures of quantum walks on the one-dimensional integer lattice are well
studied. However, the stationary measure for the higher-dimensional case has not been …
studied. However, the stationary measure for the higher-dimensional case has not been …
Unitary equivalent classes of one-dimensional quantum walks
H Ohno - Quantum Information Processing, 2016 - Springer
This study investigates unitary equivalent classes of one-dimensional quantum walks. We
prove that one-dimensional quantum walks are unitary equivalent to quantum walks of …
prove that one-dimensional quantum walks are unitary equivalent to quantum walks of …
Eigenvalues of two-state quantum walks induced by the Hadamard walk
S Endo, T Endo, T Komatsu, N Konno - Entropy, 2020 - mdpi.com
Existence of the eigenvalues of the discrete-time quantum walks is deeply related to
localization of the walks. We revealed, for the first time, the distributions of the eigenvalues …
localization of the walks. We revealed, for the first time, the distributions of the eigenvalues …
Stationary measure for two-state space-inhomogeneous quantum walk in one dimension
H Kawai, T Komatsu, N Konno - arxiv preprint arxiv:1707.04040, 2017 - arxiv.org
We consider the two-state space-inhomogeneous coined quantum walk (QW) in one
dimension. For a general setting, we obtain the stationary measure of the QW by solving the …
dimension. For a general setting, we obtain the stationary measure of the QW by solving the …
Stationary measures of three-state quantum walks on the one-dimensional lattice
H Kawai, T Komatsu, N Konno - arxiv preprint arxiv:1702.01523, 2017 - arxiv.org
In this paper, we consider stationary measures of discrete-time three-state quantum walks
including the Fourier and Grover walks in the one-dimensional lattice. We give non-uniform …
including the Fourier and Grover walks in the one-dimensional lattice. We give non-uniform …
Absence of wave operators for one-dimensional quantum walks
K Wada - Letters in Mathematical Physics, 2019 - Springer
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