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math.CO2026
On the exact quantum chromatic number of generalized Johnson graphs
Gaojun Luo, Xiwang Cao, Shitao Li +1
The quantum chromatic number is a fundamental parameter in the study of nonlocal games, capturing the extent to which entanglement can improve performance in distributed tasks. In…
math.CO2026
Uniform mixing and -uniform mixing on cycles
Xiwang Cao, Cuiwen Zhu
We study continuous-time quantum walks on cycles. We prove two complementary results. Firstly, the cycle does not admit uniform mixing at any time. Using the similar idea and…
math.CO2026
Perfect state transfer in Grover walks on dihedral Cayley graphs
Koushik Bhakta, Bikash Bhattacharjya, Xiwang Cao
The paper investigates perfect state transfer (PST) in Grover walks on Cayley graphs over the dihedral group . The Grover walk is a discrete-time quantum walk widely studied i…