2 papers
math-ph2026
Unitary and Open Scattering Quantum Walks on Graphs
Alain Joye
We study a class of Unitary Quantum Walks on arbitrary graphs, parameterized by a family of scattering matrices. These Scattering Quantum Walks model the discrete dynamics of a sys…
math-ph2026
Dynamical Localization for General Scattering Quantum Walks
Alain Joye, Andreas Schaefer, Simone Warzel
We consider quantum walks defined on arbitrary infinite graphs, parameterized by a family of scattering matrices attached to the vertices. Multiplying each scattering matrix by an…