98 citations · 400 across the 40 of their papers we have counts for
3 papers · 1 filter
Zero forcing, linear and quantum controllability for systems evolving on networks
Daniel Burgarth, Domenico D'Alessandro, Leslie Hogben +2
We study the dynamics of systems on networks from a linear algebraic perspective. The control theoretic concept of controllability describes the set of states that can be reached f…
Logic circuits from zero forcing
Daniel Burgarth, Vittorio Giovannetti, Leslie Hogben +2
We design logic circuits based on the notion of zero forcing on graphs; each gate of the circuits is a gadget in which zero forcing is performed. We show that such circuits can eva…
Variants on the minimum rank problem: A survey II
Shaun Fallat, Leslie Hogben
The minimum rank problem for a (simple) graph is to determine the smallest possible rank over all real symmetric matrices whose th entry (for ) is nonzero whenever…