10 citations · 32 across the 19 of their papers we have counts for
6 papers · 1 filter
New results in vertex sedentariness
Hermie Monterde
A vertex in a graph is said to be sedentary if a quantum state assigned on that vertex tends to stay on that vertex. Under mild conditions, we show that the direct product and join…
Quantum walks on join graphs
Steve Kirkland, Hermie Monterde
The join of two graphs and is the graph obtained by joining each vertex of to each vertex of . We explore the behaviour of a continuous quantum walk on a w…
Quantum walks on blow-up graphs
Bikash Bhattacharjya, Hermie Monterde, Hiranmoy Pal
A blow-up of copies of a graph is the graph obtained by replacing every vertex of by an independent set of size , where the copies of vertices…
Weakly Hadamard diagonalizable graphs and Quantum State Transfer
Darian McLaren, Hermie Monterde, Sarah Plosker
Hadamard diagonalizable graphs are undirected graphs for which the corresponding Laplacian is diagonalizable by a Hadamard matrix. Such graphs have been studied in the context of q…
Fractional revival between twin vertices
Hermie Monterde
In this paper, we provide a characterization of fractional revival between twin vertices in a weighted graph with respect to its adjacency, Laplacian and signless Laplacian matrice…
Sedentariness in quantum walks
Hermie Monterde
We formalize the notion of a sedentary vertex and present a relaxation of the concept of a sedentary family of graphs introduced by Godsil [Linear Algebra Appl. 614:356-375, 2021].…