15 citations · 29 across the 5 of their papers we have counts for
5 papers
The bulk-edge correspondence for the split-step quantum walk on the one-dimensional integer lattice
Yasumichi Matsuzawa, Motoki Seki, Yohei Tanaka
Suzuki's split-step quantum walk on the one-dimensional integer lattice can be naturally viewed as a chirally symmetric quantum walk. Given the unitary time-evolution of such a chi…
The Witten Index for One-dimensional Non-unitary Quantum Walks with Gapless Time-evolution
Keisuke Asahara, Daiju Funakawa, Motoki Seki +1
Recent developments in the index theory of discrete-time quantum walks allow us to assign a certain well-defined supersymmetric index to a pair of a unitary time-evolution and…
A Constructive Approach to Topological Invariants for One-dimensional Strictly Local Operators
Yohei Tanaka
In this paper we shall focus on one-dimensional strictly local operators, the notion of which naturally arises in the context of discrete-time quantum walks on the one-dimensional…
The Witten Index for 1D Supersymmetric Quantum Walks with Anisotropic Coins
Akito Suzuki, Yohei Tanaka
Chirally symmetric discrete-time quantum walks possess supersymmetry, and their Witten indices can be naturally defined. The Witten index gives a lower bound for the number of topo…
A Topological Approach to Unitary Spectral Flow via Continuous Enumeration of Eigenvalues
Nurulla Azamov, Tom Daniels, Yohei Tanaka
It is a well-known result of T.\,Kato that given a continuous path of square matrices of a fixed dimension, the eigenvalues of the path can be chosen continuously. In this paper, w…