3 papers
math.CO2026
New Cardinalities for Quantum Latin Squares of Order Six
Zhipeng Xu
We give explicit quantum Latin squares of order with cardinalities , , , , , , and , where vectors differing only by a global phase are identified.…
math.CO2026
Three Quantum Latin Squares of Order 6 with Cardinalities 13, 15, and 17
Zhipeng Xu
We give three explicit quantum Latin squares of order , with cardinalities , , and . Throughout, vectors differing only by a global phase are counted as identical. T…
math.AP2026
Leray--Hopf Type Weak Solutions for the Three-Dimensional Beris--Edwards System with Stable Landau--de Gennes Potential
Yao Zhang, Han Ni Soe, Zhipeng Xu
We prove existence of a weak solution to the three-dimensional Beris--Edwards system in the whole space under the stable bulk assumption . The solution satisfies the natural b…