3 papers
math-ph2021
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…
math-ph2020
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…
math-ph2020
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…