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20092026
most citedWeight Distribution of A p-ary Cyclic Code

13 citations · 54 across the 40 of their papers we have counts for

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10 papers · 1 filter

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…

math.CO2025

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…

math.CO2024

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…

math.CO2022

Fractional revival on abelian Cayley graphs

Xiwang Cao, Gaojun Luo

Fractional revival, known as a quantum transport phenomenon, is essential for entanglement generation in quantum spin networks. The concept of fractional revival is a generalizatio…