Main part of my research is about quantum walks on graphs. There are two classes of quantum walks: continuous quantum walks and discrete quantum walks. I have been interested in and worked on both classes.
- Periodicity of bipartite walk on biregular graphs with conditional spectra (Qiuting Chen. Physica Scripta 99,105120 (2024).)
- Hamiltonians of Bipartite Walks (Qiuting Chen, Chris Godsil, Mariia Sobchuk, Hanmeng Zhan. Electronic Journal of Combinatorics (2024) 31(4): P4.10.)
- Pair state transfer (Qiuting Chen, Chris Godsil. Quantum Inf Process 19, 321 (2020). )
- Bipartite walks on incidence structures(Qiuting Chen. Manuscript in preparation.)
- Laplacian States, (A.Chan, Q.Chen, C.Godsil, W.Sun, X.Zhang. Manuscript in preparation.)