12 citations · 32 across the 24 of their papers we have counts for
5 papers · 1 filter
Explicit expression of scattering operator of some quantum walks on impurities
Takashi Komatsu, Norio Konno, Hisashi Morioka +1
In this paper, we consider the scattering theory for a one-dimensional quantum walk with impurities which make reflections and transmissions. We focus on an explicit expression of…
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…
Quantum walks defined by digraphs and generalized Hermitian adjacency matrices
Sho Kubota, Etsuo Segawa, Tetsuji Taniguchi
We propose a quantum walk defined by digraphs (mixed graphs). This is like Grover walk that is perturbed by a certain complex-valued function defined by digraphs. The discriminant…
A walk on max-plus algebra
Sennosuke Watanabe, Akiko Fukuda, Etsuo Segawa +1
Max-plus algebra is a kind of idempotent semiring over with two operations and .In this paper, we intr…
Eigenvalues of quantum walk induced by recurrence properties of the underlying birth and death process: application to computation of an edge state
Yusuke Ide, Norio Konno, Etsuo Segawa
In this paper, we consider an extended coined Szegedy model and discuss the existence of the point spectrum of induced quantum walks in terms of recurrence properties of the underl…