5 citations · 22 across the 23 of their papers we have counts for
3 papers · 1 filter
State transfer in strongly regular graphs with an edge perturbation
Chris Godsil, Krystal Guo, Mark Kempton +1
Quantum walks, an important tool in quantum computing, have been very successfully investigated using techniques in algebraic graph theory. We are motivated by the study of state t…
Relationships between cycle spaces, gain graphs, graph coverings, fundamental groups, path homology, and graph curvature
Mark Kempton, Florentin Munch, Shing-Tung Yau
We prove a homology vanishing theorem for graphs with positive Bakry-Émery curvature, analogous to a classic result of Bochner on manifolds \cite{Bochner}. Specifically, we prove t…
Pretty good state transfer in graphs with an involution
Mark Kempton, Gabor Lippner, Shing-Tung Yau
We study pretty good quantum state transfer (i.e., state transfer that becomes arbitrarily close to perfect) between vertices of graphs with an involution in the presence of an ene…