28 citations · 30 across the 8 of their papers we have counts for
5 papers · 1 filter
Cospectral graphs obtained by edge deletion
Chris Godsil, Wanting Sun, Xiaohong Zhang
Let denote the Schur product of two matrices and . A graph with adjacency matrix is walk regular if is a constant times for each ,…
State Transfer in Complex Quantum Walks
Antonio Acuaviva, Ada Chan, Summer Eldridge +5
Given a graph with Hermitian adjacency matrix , perfect state transfer occurs from vertex to vertex if the -entry of the unitary matrix has unit magn…
Fractional revival on non-cospectral vertices
Chris Godsil, Xiaohong Zhang
Perfect state transfer and fractional revival can be used to move information between pairs of vertices in a quantum network. While perfect state transfer has received a lot of att…
Hadamard diagonalizable graphs of order at most 36
Jane Breen, Steve Butler, Melissa Fuentes +7
If the Laplacian matrix of a graph has a full set of orthogonal eigenvectors with entries , then the matrix formed by taking the columns as the eigenvectors is a Hadamard mat…
Switching and partially switching the hypercube while maintaining perfect state transfer
Steve Kirkland, Sarah Plosker, Xiaohong Zhang
A graph is said to exhibit perfect state transfer (PST) if one of its corresponding Hamiltonian matrices, which are based on the vertex-edge structure of the graph, gives rise to P…