Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Chusei Kiumi"'
Publikováno v:
Entropy, Vol 24, Iss 5, p 584 (2022)
The analysis of the return probability is one of the most essential and fundamental topics in the study of classical random walks. In this paper, we study the return probability of quantum and correlated random walks in the one-dimensional integer la
Externí odkaz:
https://doaj.org/article/58c038eff4384d9ab2295bcfab7eb1dd
Autor:
Chusei Kiumi
Publikováno v:
International Journal of Quantum Information. 20
There is a property called localization, which is essential for applications of quantum walks. From a mathematical point of view, the occurrence of localization is known to be equivalent to the existence of eigenvalues of the time evolution operators
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::41424225a28e7d8ff484e35e4a23d7bf
https://doi.org/10.1142/s0219749922500137
https://doi.org/10.1142/s0219749922500137
Autor:
Kei Saito, Chusei Kiumi
Publikováno v:
Quantum Information Processing. 20
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, respectively. We call them two-phase QWs with one defect. They cover one-de
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0870a334f990a1838e08e51508163291
https://doi.org/10.1007/s11128-021-03108-x
https://doi.org/10.1007/s11128-021-03108-x
Autor:
Chusei Kiumi, Kei Saito
Localization is a characteristic phenomenon of space-inhomogeneous quantum walks in one dimension, where particles remain localized around their initial position. The existence of eigenvalues of time evolution operators is a necessary and sufficient
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9f68d28a51df7dfd5328d163c73e28b1
Autor:
Chusei Kiumi
In this paper, the 2-state decomposed-type quantum walk (DQW) on a line is introduced as an extension of the 2-state quantum walk (QW). The time evolution of the DQW is defined with two different matrices, one is assigned to a real component, and the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9dd551d5bbbcc756e782e7ebd37fed84
http://arxiv.org/abs/2012.00327
http://arxiv.org/abs/2012.00327
Autor:
Chusei Kiumi
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 55:225205
Mathematical analysis on the existence of eigenvalues is essential because it is equivalent to the occurrence of localization, which is an exceptionally crucial property of quantum walks. We construct the method for the eigenvalue problem via the tra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cf6626073b19b3099630354d2e876362
https://doi.org/10.1088/1751-8121/ac6998
https://doi.org/10.1088/1751-8121/ac6998