7 citations · 11 across the 6 of their papers we have counts for
11 papers
Why and how to add direction to a quantum walk
Rodrigo Chaves, Bruno Oliveira Chagas, Gabriel Coutinho
We formalize the treatment of directed (or chiral) quantum walks using Hermitian adjacency matrices, bridging two developing fields of research in quantum information and spectral…
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…
Colouring the normalized Laplacian
Gabriel Coutinho, Rafael Grandsire, Célio Passos
We apply Cauchy's interlacing theorem to derive some eigenvalue bounds to the chromatic number using the normalized Laplacian matrix, including a combinatorial characterization of…
Algebras, graphs and thetas
Marcel K. de Carli Silva, Gabriel Coutinho, Chris Godsil +1
We extend the clique-coclique inequality, previously known to hold for graphs in association schemes and vertex-transitive graphs, to graphs in homogeneous coherent configurations…
Dual Hoffman Bounds for the Stability and Chromatic Numbers Based on SDP
Nathan Benedetto Proença, Marcel K. de Carli Silva, Gabriel Coutinho
The notion of duality is a key element in understanding the interplay between the stability and chromatic numbers of a graph. This notion is a central aspect in the celebrated theo…
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…