Author

Zheng-Wei Liu

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Preprint Oct 2026

Triangular prism equations for near-group categories: algebraic solutions and a unitary conjecture

We derive the triangular prism equations (TPE) for near-group fusion rules of type $G+|G|$, where $G$ is a finite abelian group. We prove that spherical categorification with trivial Frobenius--Schur indicator over any field in which $|G|$ is invertible is equivalent to the solvability of the TPE system. For every cycl...

Hui-Xuan He, Zheng-Wei Liu, Fan Lu et al. · 0 citations

Preprint Sep 2026

Equivalence of states and bimodule quantum channels

We study the action of quantum channels on states on a von Neumann algebra $\mathcal{M}$ with conserved quantities encoded by a subalgebra $\mathcal{N}$. We define a phase as an equivalence class of normal states on $\mathcal{M}$ under the action of quantum channels preserving $\mathcal{N}$. First, we establish a relat...

Lin-Zhe Huang, Chun-Lan Jiang, Zheng-Wei Liu et al. · 0 citations