Y. Liu

activity

20242026

collaborators

6 papers

quant-ph2026

On the KAK Decomposition and Equivalence Classes

Dawei Ding, Yu Liu, Zi-Wen Liu

The KAK decomposition is a fundamental tool in Lie theory and quantum computing. Despite its widespread use, the mathematical foundations remain incomplete, particularly regarding…

math.AT2025

Unital k-Restricted Infinity-Operads

Amartya Shekhar Dubey, Yu Leon Liu

We study unital $\infty$ -operads by their arity restrictions. Given $k \geq 1$ , we develop a model for unital $k$ -restricted $\infty$ -operads, which are variants of $\infty$ -operad…

hep-th2024

Two infinite families of facets of the holographic entropy cone

Bartlomiej Czech, Yu Liu, Bo Yu

We verify that the recently proven infinite families of holographic entropy inequalities are maximally tight, i.e. they are facets of the holographic entropy cone. The proof is tec…

math.AT2024

$E_{n}$ -algebras in m-categories

Yu Leon Liu

We prove a connectivity bound for maps of $\infty$ -operads of the form $A_{k_{1}} \otimes \dots \otimes A_{k_{n}} \to E_{n}$ , and as a consequence, give an in…

math-ph2024

From bordisms of three-manifolds to domain walls between topological orders

Yu Leon Liu, Dalton A R Sakthivadivel

We study a correspondence between spin three-manifolds and bosonic abelian topological orders. Let $N$ be a spin three-manifold. We can define a $(2 + 1)$ -dimensional topological ord…