2 papers
math-ph2025
Two-dimensional quantum central limit theorem by quantum walks
Keisuke Asahara, Daiju Funakawa, Motoki Seki +1
The weak limit theorem (WLT), the quantum analogue of the central limit theorem, is foundational to quantum walk (QW) theory. Unlike the universal Gaussian limit of classical walks…
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…