6 papers
On Entries of Spectral Decompositions and Applications
Musung Kang
The entries of the spectral idempotents of a graph are its local and crossed local multiplicities. This paper uses these classical quantities in three applications. First, in a gra…
Moment Methods for Uniform Average Mixing on Strongly Regular Graphs
Musung Kang
We study continuous-time quantum walks on connected strongly regular graphs that are not complete, observed at a random time drawn from a freely chosen probability law. Uniform ave…
Arithmetic of Bohr Frequencies Governs Uniform Mixing in Randomly Timed Quantum Spin Chains
Musung Kang
Randomizing the readout time averages the mode interference in a quantum walk. We ask when this makes the site populations of a uniformly coupled chain exactly uniform for eve…
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…
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…
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…