3 papers
math.CO2026
Laziness of Quantum Walks on Graphs
Amulya Mohan, Christino Tamon, Yichi Xu +1
The trace of the average mixing matrix of a quantum walk measures the "laziness" of the walk: the higher the trace, the more likely that the walker returns home in the long run. In…
math.CO2026
Uniform Mixing in Chiral Quantum Walks
Luke Levine, Jessy Jacob Mesapam, Benjamin Mustico +3
This paper studies uniform mixing in continuous-time quantum walks. We show that for some unitary signing , the complete graph has probabilistic uniform mixing. In con…
math.CO2024
Discrete Quantum Walks with Marked Vertices and Their Average Vertex Mixing Matrices
Amulya Mohan, Hanmeng Zhan
We study the discrete quantum walk on a regular graph that assigns negative identity coins to marked vertices and Grover coins to the unmarked ones. We find combinatorial b…