189 citations · 1.9k across the 148 of their papers we have counts for
151 papers
Absolute zeta functions for zeta functions of quantum cellular automata
Jirô Akahori, Norio Konno, Iwao Sato
Our previous work dealt with the zeta function for the interacting particle system (IPS) including quantum cellular automaton (QCA) as a typical model in the study of ``IPS/Zeta Co…
On the relation between quantum walks and absolute zeta functions
Norio Konno
The quantum walk is a quantum counterpart of the classical random walk. On the other hand, the absolute zeta function can be considered as a zeta function over F_1. This paper pres…
Parrondo's game of quantum search based on quantum walk
Taisuke Hosaka, Norio Konno
The Parrondo game, devised by Parrondo, means that winning strategy is constructed a combination of losing strategy. This situation is called the Parrondo paradox. The Parrondo gam…
Alternating Walk/Zeta Correspondence
Takashi Komatsu, Norio Konno, Iwao Sato
We consider the alternating zeta function and the alternating -function of a graph , and express them by using the Ihara zeta function of . Next, we define a generalized a…
Ronkin/Zeta Correspondence
Takashi Komatsu, Norio Konno, Iwao Sato +1
The Ronkin function was defined by Ronkin in the consideration of the zeros of almost periodic function. Recently, this function has been used in various research fields in mathema…
IPS/Zeta Correspondence for the Domany-Kinzel model
Chusei Kiumi, Norio Konno, Yuki Oshima
Previous studies presented zeta functions by the Konno-Sato theorem or the Fourier analysis for one-particle models, including random walks, correlated random walks, quantum walks,…