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quant-ph2026
Pretty good quantum state transfer via transcendental edge weights
Addison Ballif, Mark Kempton, James B. Larsen +3
We prove that if we take a rooted product of a circulant graph with universal perfect state transfer with a path of fixed length whose end edge is weighted with a transcendental nu…
math.CO2026
Nordhaus-Gaddum upper bounds for graph connectivity parameters
Mark Kempton, Xavier Zaitzeff, Sibi Muthuprakash
We examine upper bounds on Nordhaus-Gaddum type problems for parameters related to graph connectivity. Our main result is that for a graph on vertices where both and it…