Quantum Walks in the Normalized Laplacian
Quantum Physics
2022-09-13 v1 Combinatorics
Abstract
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.
Keywords
Cite
@article{arxiv.2209.04668,
title = {Quantum Walks in the Normalized Laplacian},
author = {Gabriel Coutinho and Pedro Ferreira Baptista},
journal= {arXiv preprint arXiv:2209.04668},
year = {2022}
}
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14 pages