1 citations · 3 across the 4 of their papers we have counts for
8 papers · 1 filter
Subdivision and Graph Eigenvalues
Hitesh Kumar, Bojan Mohar, Shivaramakrishna Pragada +1
This paper investigates the asymptotic nature of graph spectra when some edges of a graph are subdivided sufficiently many times. In the special case where all edges of a graph are…
The average search probabilities of discrete-time quantum walks
Hanmeng Zhan
We study the average probability that a discrete-time quantum walk finds a marked vertex on a graph. We first show that, for a regular graph, the spectrum of the transition matrix…
Pretty good state transfer in discrete-time quantum walks
Ada Chan, Hanmeng Zhan
We establish the theory for pretty good state transfer in discrete-time quantum walks. For a class of walks, we show that pretty good state transfer is characterized by the spectru…
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…
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…
Fractional Revival and Association Schemes
Ada Chan, Gabriel Coutinho, Christino Tamon +2
Fractional revival occurs between two vertices in a graph if a continuous-time quantum walk unitarily maps the characteristic vector of one vertex to a superposition of the charact…