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math.CO2019
A zeta function related to the transition matrix of the discrete-time quantum walk on a graph
Norio Konno, Iwao Sato, Etsuo Segawa
We present the structure theorem for the positive support of the cube of the Grover transition matrix of the discrete-time quantum walk (the Grover walk) on a general graph und…
math.CO2019★ 1 cited
Zeta functions with respect to general coined quantum walk of periodic graphs
Takashi Komatsu, Norio Konno, Iwao Sato
We define a zeta function of a graph by using the time evolution matrix of a general coined quantum walk on it, and give a determinant expression for the zeta function of a finite…