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math.CO2026
Perfect state transfer and Cayley presentations
Arnbjörg Soffía Árnadóttir, Krystal Guo
We study perfect state transfer on Cayley graphs from the point of view that state transfer is a property of a graph and not of a group. This paper is a bridge between the classica…
math.CO2025
State transfer in discrete-time quantum walks via projected transition matrices
Krystal Guo, Vincent Schmeits
In this paper, we analyze state transfer in quantum walks by using combinatorial methods. We generalize perfect state transfer in two-reflection discrete-time quantum walks to a no…
math.CO2024
Selected Open Problems in Continuous-Time Quantum Walks
Gabriel Coutinho, Krystal Guo
Quantum walks on graphs are fundamental to quantum computing and have led to many interesting open problems in algebraic graph theory. This review article highlights three key clas…