5 citations · 14 across the 10 of their papers we have counts for
10 papers
Poisson operator on the interacting Fock space associated with a discrete-time quantum walk
Daiju Funakawa, Yuki Ueda, Kazuyuki Wada
We study the Poisson operator on the interacting Fock space associated with a discrete-time quantum walk, which we call the QW-Poisson operator. First, we investigate the spectral…
Exponential decay property for eigenfunctions of quantum walks
Kazuyuki Wada
Under an abstract setting, we show that eigenvectors belong to discrete spectra of unitary operators have exponential decay properties. We apply the main theorem to multi-dimension…
Index Theorems for One-dimensional Chirally Symmetric Quantum Walks with Asymptotically Periodic Parameters
Yasumichi Matsuzawa, Yohei Tanaka, Kazuyuki Wada
We focus on index theory for chirally symmetric discrete-time quantum walks on the one-dimensional integer lattice. Such a discrete-time quantum walk model can be characterised as…
The Witten index for one-dimensional split-step quantum walks under the non-Fredholm condition
Yasumichi Matsuzawa, Akito Suzuki, Yohei Tanaka +2
It is recently shown that a split-step quantum walk possesses a chiral symmetry, and that a certain well-defined index can be naturally assigned to it. The index is a well-defined…
Unitary equivalence classes of split-step quantum walks
Akihiro Narimatsu, Hiromichi Ohno, Kazuyuki Wada
This study investigates the unitary equivalence of split-step quantum walks (SSQW). We consider a new class of quantum walks which includes all SSQWs. We show the explicit form of…
Absence of singular continuous spectra and embedded eigenvalues for one dimensional quantum walks with general long-range coins
Masaya Maeda, Akito Suzuki, Kazuyuki Wada
This paper is a continuation of the paper \cite{W} by the third author, which studied quantum walks with special long-range perturbations of the coin operator. In this paper, we co…