12 citations · 32 across the 24 of their papers we have counts for
17 papers · 1 filter
Spectral mapping theorem of an abstract non-unitary quantum walk
Keisuke Asahara, Daiju Funakawa, Etsuo Segawa +2
This paper continues the previous work (Quantum Inf. Process (2019)) by two authors of the present paper about a spectral mapping property of chiral symmetric unitary operators. In…
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…
Relation between quantum walks with tails and quantum walks with sinks on finite graphs
Norio Konno, Etsuo Segawa, Martin Štefaňák
We connect the Grover walk with sinks to the Grover walk with tails. The survival probability of the Grover walk with sinks in the long time limit is characterized by the centered…
A variant of the discrete Burgers equation derived from the correlated random walk and its ultradiscretization
Akiko Fukuda, Etsuo Segawa, Sennosuke Watanabe
In this paper, we show that a variant of the discrete Burgers equation can be obtained through the Cole--Hopf transformation to a generalized discrete diffusion equation correspond…
Generalized eigenfunctions for quantum walks via path counting approach
Takashi Komatsu, Norio Konno, Hisashi Morioka +1
We consider the time-independent scattering theory for time evolution operators of one-dimensional two-state quantum walks. The scattering matrix associated with the position-depen…
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…