4 papers
Perfect -state transfer
Stephen Kirkland, Hermie Monterde, Sarah Plosker
Much work has been done in the last two decades on the topic of quantum state transfer in a quantum spin network. One can model such a system of interacting qubits using an undirec…
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…
A generalization of quantum pair state transfer
Sooyeong Kim, Hermie Monterde, Bahman Ahmadi +3
An -pair state in a graph is a quantum state of the form , where and are vertices in the graph and is a non-zero complex number. If $s=-1…
Bounds on Kemeny's constant of a graph and the Nordhaus-Gaddum problem
Sooyeong Kim, Neal Madras, Ada Chan +3
We study Nordhaus-Gaddum problems for Kemeny's constant of a connected graph . We prove bounds on and the pro…