Quantum Walks in the Normalized Laplacian
Coutinho, Gabriel, Pedro Ferreira Baptista · arXiv (Cornell University) · 2022
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.