3 papers
quant-ph2026
Dimension-Free Approximate Tensorization of Quantum Hypercontractivity for Qudit Depolarizing Semigroups
Yangjing Dong, Li Gao, Fengning Ou +2
We prove approximate tensorization for hypercontractivity and logarithmic-Sobolev constants for a class of primitive reversible quantum Markov semigroups satisfying the positive of…
math.NT2026
Type number for orders of level (N_1,N_2)
Yifan Luo, Haigang Zhou
We establish an explicit formula for the type number of quaternion orders of level , where (with and odd) and…
math.NT2024
The classification and representations of positive definite ternary quadratic forms of level 4N
Yifan Luo, Haigang Zhou
Classifications and representations are two main topics in the theory of quadratic forms. In this paper, we consider these topics of ternary quadratic forms. For a given squarefree…