Quantum Walks in the Normalized Laplacian

Gabriel Coutinho, Pedro Ferreira Baptista

Published 2022-09-10Version 1

We provide a characterization of perfect state transfer in a quantum walk whose Hamiltonian is given by the normalized Laplacian. We discuss a connection between classical random walks and quantum walks only present in this model, and we also rule out several trees as candidates to host perfect state transfer.