189 citations · 1.9k across the 148 of their papers we have counts for
6 papers · 2 filters
Walk/Zeta Correspondence for quantum and correlated random walks
Norio Konno, Shunya Tamura
In this paper, following the recent paper on Walk/Zeta Correspondence by the first author and his coworkers, we compute the zeta function for the three- and four-state quantum walk…
CTM/Zeta Correspondence
Takashi Komatsu, Norio Konno, Iwao Sato
In our previous work, we investigated the relation between zeta functions and discrete-time models including random and quantum walks. In this paper, we introduce a zeta function f…
IPS/Zeta Correspondence
Takashi Komatsu, Norio Konno, Iwao Sato
Our previous works presented zeta functions by the Konno-Sato theorem or the Fourier analysis for one-particle models including random walks, correlated random walks, quantum walks…
Walk/Zeta Correspondence
Takashi Komatsu, Norio Konno, Iwao Sato
Our previous work presented explicit formulas for the generalized zeta function and the generalized Ihara zeta function corresponding to the Grover walk and the positive-support ve…
Grover/Zeta Correspondence based on the Konno-Sato theorem
Takashi Komatsu, Norio Konno, Iwao Sato
Recently the Ihara zeta function for the finite graph was extended to infinite one by Clair and Chinta et al. In this paper, we obtain the same expressions by a different approach…
General condition of quantum teleportation by one-dimensional quantum walks
Tomoki Yamagami, Etsuo Segawa, Norio Konno
We extend the scheme of quantum teleportation by quantum walks introduced by Wang et al. (2017). First, we introduce the mathematical definition of the accomplishment of quantum te…