4 papers
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…
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…
On the quantum chromatic number of Hamming and generalized Hadamard graphs
Xiwang Cao, Keqin Feng, Hexiang Huang +2
As a fundamental metric for quantifying quantum advantage in non-local games, the quantum chromatic number reveals the power of entanglement in distributed tasks. In this paper, we…
Quantum chromatic numbers of some graphs in Hamming schemes
Xiwang Cao, Keqin Feng, Ying-Ying Tan
The study of quantum chromatic numbers of graphs is a hot research topic in recent years. However, the infinite family of graphs with known quantum chromatic numbers are rare, as f…