1 citations · 3 across the 3 of their papers we have counts for
3 papers
math-ph2022★ 1 cited
Spectral Analysis of Non-unitary Two-phase Quantum Walks in One Dimension
Chusei Kiumi, Kei Saito, Yohei Tanaka
It is recently shown by Asahara-Funakawa-Seki-Tanaka that existing index theory for chirally symmetric (discrete-time) quantum walks can be extended to the setting of non-unitary q…
math-ph2021★ 1 cited
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…
math-ph2021★ 1 cited
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…