33 citations · 67 across the 19 of their papers we have counts for
4 papers · 1 filter
Laplacian Fractional Revival on Graphs
Ada Chan, Bobae Johnson, Mengzhen Liu +3
We develop the theory of fractional revival in the quantum walk on a graph using its Laplacian matrix as the Hamiltonian. We first give a spectral characterization of Laplacian fra…
Laplacian pretty good fractional revival
Ada Chan, Bobae Johnson, Mengzhen Liu +3
We develop the theory of pretty good fractional revival in quantum walks on graphs using their Laplacian matrices as the Hamiltonian. We classify the paths and the double stars tha…
Factoring Discrete Quantum Walks on Distance Regular Graphs into Continuous Quantum Walks
Hanmeng Zhan
We consider a discrete-time quantum walk, called the Grover walk, on a distance regular graph . Given that has diameter and invertible adjacency matrix, we show that the…
Fundamentals of fractional revival in graphs
Ada Chan, Gabriel Coutinho, Whitney Drazen +6
We develop a general spectral framework to analyze quantum fractional revival in quantum spin networks. In particular, we introduce generalizations of the notions of cospectral and…