Quantum walks in the normalized Laplacian

G Coutinho, PF Baptista - Linear and Multilinear Algebra, 2024 - Taylor & Francis
Linear and Multilinear Algebra, 2024Taylor & Francis
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.
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.
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