10 citations · 32 across the 19 of their papers we have counts for
4 papers · 1 filter
Quantum walks on finite and bounded infinite graphs
Chris Godsil, Steve Kirkland, Sarojini Mohapatra +2
A weighted graph with countable vertex set is bounded if there is an upper bound on the maximum of the sum of absolute values of all edge weights incident to a vertex in . I…
More graphs with pair state transfer
Hermie Monterde, Hiranmoy Pal
This paper has two main goals. First, we characterize perfect state transfer between -pair states in strongly regular graphs, as well as graphs in association schemes admitting…
Laplacian quantum walks on blow-up graphs
Hermie Monterde, Hiranmoy Pal, Steve Kirkland
This paper is a sequel to the work of Bhattacharjya et al.\ (J. Phys. A-Math. 57.33: 335303, https://doi.org/10.1088/1751-8121/ad6653) on quantum state transfer on blow-up graphs,…
Perfect state transfer between real pure states
Chris Godsil, Stephen Kirkland, Hermie Monterde
Pure states correspond to one-dimensional subspaces of represented by unit vectors. In this paper, we develop the theory of perfect state transfer (PST) between real…