189 citations · 1.9k across the 148 of their papers we have counts for
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Quantum walks driven by quantum coins with two multiple eigenvalues
Norio Konno, Iwao Sato, Etsuo Segawa +1
We consider a spectral analysis on the quantum walks on graph with the local coin operators and the flip flop shift. The quantum coin operators have co…
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…
Asymptotic properties of generalized eigenfunctions for multi-dimensional quantum walks
Takashi Komatsu, Norio Konno, Hisashi Morioka +1
We construct a distorted Fourier transformation associated with the multi-dimensional quantum walk. In order to avoid the complication of notations, almost all of our arguments are…