3 citations · 5 across the 6 of their papers we have counts for
12 papers
Mahler/Zeta Correspondence
Takashi Komatsu, Norio Konno, Iwao Sato +1
The Mahler measure was introduced by Mahler in the study of number theory. It is known that the Mahler measure appears in different areas of mathematics and physics. On the other h…
A Generalized Grover/Zeta Correspondence
Takashi Komatsu, Norio Konno, Iwao Sato +1
We introduce a generalized Grover matrix of a graph and present an explicit formula for its characteristic polynomial. As a corollary, we give the spectra for the generalized Grove…
A discontinuity of the energy of quantum walk in impurities
Kenta Higuchi, Takashi Komatsu, Norio Konno +2
We consider the discrete-time quantum walk whose local dynamics is denoted by at the perturbed region and free at the other positions. We obtain the station…
The trace formula with respect to the twisted Grover matrix of a mixed digraph
Takashi Komatsu, Sho Kubota, Norio Konno +1
We define a zeta function woth respect to the twisted Grover matrix of a mixed digraph, and present an exponential expression and a determinant expression of this zeta function. As…
The scattering matrix with respect to an Hermitian matrix of a graph
Takashi Komatsu, Norio Konno, Iwao Sato
Recently, Gnutzmann and Smilansky presented a formula for the bond scattering matrix of a graph with respect to a Hermitian matrix. We present another proof for this Gnutzmann and…
A Characteristic Polynomial for The Transition Probability Matrix of A Correlated Random Walk on A Graph
Takashi Komatsu, Norio Konno, Iwao Sato
We define a correlated random walk (CRW) induced from the time evolution matrix (the Grover matrix) of the Grover walk on a graph , and present a formula for the characteristic…