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quant-ph2022
Irrational quantum walks
Gabriel Coutinho, Pedro Ferreira Baptista, Chris Godsil +2
The adjacency matrix of a graph G is the Hamiltonian for a continuous-time quantum walk on the vertices of G. Although the entries of the adjacency matrix are integers, its eigenva…
math.CO2022
Strong cospectrality in trees
Gabriel Coutinho, Emanuel Juliano, Thomás Jung Spier
We prove that no tree contains a set of three vertices which are pairwise strongly cospectral. This answers a question raised by Godsil and Smith in 2017.