4 papers
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…
Hyperbolization and geometric decomposition of a class of 3-manifolds
Ke Feng, Huabin Ge, Yunpeng Meng
Thurston's triangulation conjecture asserts that every hyperbolic 3-manifold admits a geometric triangulation into hyper-ideal hyperbolic tetrahedra. So far, this conjecture had on…
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…
Quadratic twists of tiling number elliptic curves
Keqin Feng, Qiuyue Liu, Jinzhao Pan +1
A positive integer is called a tiling number if the equilateral triangle can be dissected into congruent triangles for some integer . An integer is tiling numbe…