2 papers
math-ph2025
Spectrum for a non-unitary one-dimensional two-state quantum walk with one defect
Takako Endo, Yohei Matsumoto, Hiromichi Ohno +1
Existence of the eigenvalues of the discrete-time quantum walks is deeply related to localization. Also, for the study of open quantum systems, non-Hermitian systems have attracted…
quant-ph2024
A mathematical framework for maze solving using quantum walks
Leo Matsuoka, Hiromichi Ohno, Etsuo Segawa
We provide a mathematical framework for identifying the shortest path in a maze using a Grover walk, which becomes non-unitary by introducing absorbing holes. In this study, we def…