3 papers
math.CO2026
An Exact Obstruction to Uniform Average Mixing on
Musung Kang
We prove that the path does not admit uniform average mixing under any probability distribution on , answering a question of Baptista, Coutinho, and Marques in…
quant-ph2026
Schur States and Many-Body Quantum Walks on Line Graphs
Musung Kang
Let be a finite simple graph. A one-particle continuous-time quantum walk on its line graph has one mode for each edge of . This paper is a corrected and reorganize…
math.CO2025
Tree-Line graphs and their quantum walks
Kang Musung
For a simple graph , a (bipartite)tree-line graph and a tree-graph of can be defined. With a (bipartite)tree-line graph constructed by the function , we study the c…