3 papers
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…
quant-ph2025
Peak state transfer in continuous quantum walks
Gabriel Coutinho, Krystal Guo, Vincent Schmeits
We introduce and study peak state transfer, a notion of high state transfer in qubit networks modeled by continuous-time quantum walks. Unlike perfect or pretty good state transfer…
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…