Zobrazeno 1 - 10
of 211
pro vyhledávání: '"Norio Konno"'
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
Publikováno v:
Symmetry, Vol 13, Iss 7, p 1169 (2021)
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 generalized eigenspace of the Grover walk with tails. The centered eig
Externí odkaz:
https://doaj.org/article/393a29994ff84bb0b780dd667921f163
Publikováno v:
Symmetry, Vol 13, Iss 7, p 1134 (2021)
We consider the discrete-time quantum walk whose local dynamics is denoted by a common unitary matrix C at the perturbed region {0,1,⋯,M−1} and free at the other positions. We obtain the stationary state with a bounded initial state. The initial
Externí odkaz:
https://doaj.org/article/8c036c51e52245bfb1a2ff1c76961d50
Publikováno v:
Entropy, Vol 22, Iss 1, p 127 (2020)
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 given by the splitted generating function method (the SGF method) of
Externí odkaz:
https://doaj.org/article/89df9467fdce453aaa6113a5271d2fd5
Publikováno v:
Entropy, Vol 16, Iss 3, Pp 1501-1514 (2014)
In this paper, we consider the time averaged distribution of discrete time quantum walks on the glued trees. In order to analyze the walks on the glued trees, we consider a reduction to the walks on path graphs. Using a spectral analysis of the Jacob
Externí odkaz:
https://doaj.org/article/6b90b6d0859347b898242499592d7178
Publikováno v:
Entropy, Vol 20, Iss 10, p 729 (2018)
Many cryptographic systems require random numbers, and the use of weak random numbers leads to insecure systems. In the modern world, there are several techniques for generating random numbers, of which the most fundamental and important methods are
Externí odkaz:
https://doaj.org/article/bda936f1b504410588b28b9adaa741ce
Autor:
Yoshiaki Doi, Norio Konno, Tomoki Nakamigawa, Tadashi Sakuma, Etsuo Segawa, Hidehiro Shinohara, Shunya Tamura, Yuuho Tanaka, Kosuke Toyota
Publikováno v:
Discrete Applied Mathematics. 313:18-28
The exact formula for the average hitting time (HT, as an abbreviation) of simple random walks from one vertex to any other vertex on the square $C^2_N$ of an $N$-vertex cycle graph $C_N$ was given by N. Chair [\textit{Journal of Statistical Physics}
Publikováno v:
Annales Henri Poincaré. 23:1693-1724
We construct a distorted Fourier transformation associated with the multi-dimensional quantum walk. In order to avoid the complication of notations, almost all of our arguments are restricted to two dimensional quantum walks (2DQWs) without loss of g
Autor:
Takehiro Hasegawa, Takashi Komatsu, Norio Konno, Hayato Saigo, Seiken Saito, Iwao Sato, Shingo Sugiyama
Publikováno v:
Annals of Combinatorics.
Publikováno v:
Linear Algebra and its Applications. 620:344-367
We define an alternating zeta function of a digraph D, and give its determinant expression. We present a decomposition formula for the alternating zeta function of a group covering of D. Furthermore, we introduce an alternating L-function of D, and p