9 citations · 54 across the 26 of their papers we have counts for
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Stationary measure for two-state space-inhomogeneous quantum walk in one dimension
Hikari Kawai, Takashi Komatsu, Norio Konno
We consider the two-state space-inhomogeneous coined quantum walk (QW) in one dimension. For a general setting, we obtain the stationary measure of the QW by solving the eigenvalue…
Eigenvalues of quantum walks of Grover and Fourier types
Takashi Komatsu, Tatsuya Tate
A necessary and sufficient conditions for certain class of periodic unitary transition operators to have eigenvalues are given. Applying this, it is shown that Grover walks in any…
Stationary amplitudes of quantum walks on the higher-dimensional integer lattice
Takashi Komatsu, Norio Konno
Stationary measures of quantum walks on the one-dimensional integer lattice are well studied. However, the stationary measure for the higher dimensional case has not been clarified…
Stationary measures of three-state quantum walks on the one-dimensional lattice
Hikari Kawai, Takashi Komatsu, Norio Konno
In this paper, we consider stationary measures of discrete-time three-state quantum walks including the Fourier and Grover walks in the one-dimensional lattice. We give non-uniform…