154 citations · 259 across the 11 of their papers we have counts for
11 papers
Generalized Witt and Morita equivalences
Liang Kong, Yilong Wang, Hao Zheng
In this work, we introduce a family of new equivalence relations among fusion categories that are less refined than the usual Morita equivalence. We obtain abelian groups by quotie…
Higher condensation theory
Liang Kong, Zhi-Hao Zhang, Jiaheng Zhao +1
We develop a unified mathematical theory of defect condensations for topological orders in all dimensions based on higher categories, higher algebras and higher representations. A…
Categories of quantum liquids III
Liang Kong, Hao Zheng
We continue our study of the categories of quantum liquids started in a previous work. We combine local quantum symmetries with topological skeletons into a single mathematical the…
Enriched monoidal categories I: centers
Liang Kong, Wei Yuan, Zhi-Hao Zhang +1
This work is the first one in a series, in which we develop a mathematical theory of enriched (braided) monoidal categories and their representations. In this work, we introduce th…
Categorical computation
Liang Kong, Hao Zheng
In quantum computing, the computation is achieved by linear operators in or between Hilbert spaces. In this work, we explore a new computation scheme, in which the linear operators…
Algebraic higher symmetry and categorical symmetry -- a holographic and entanglement view of symmetry
Liang Kong, Tian Lan, Xiao-Gang Wen +2
We introduce the notion of algebraic higher symmetry, which generalizes higher symmetry and is beyond higher group. We show that an algebraic higher symmetry in a bosonic system in…
Measuring the Unique Identifiers of Topological Order Based on Boundary-Bulk Duality and Anyon Condensation
Yong-Ju Hai, Ze Zhang, Hao Zheng +3
A topological order is a new quantum phase that is beyond Landau's symmetry-breaking paradigm. Its defining features include robust degenerate ground states, long-range entanglemen…
Classification of topological phases with finite internal symmetries in all dimensions
Liang Kong, Tian Lan, Xiao-Gang Wen +2
We develop a mathematical theory of symmetry protected trivial (SPT) orders and anomaly-free symmetry enriched topological (SET) orders in all dimensions via two different approach…
Pointed Drinfeld center functor
Liang Kong, Wei Yuan, Hao Zheng
In this work, using the functoriality of Drinfeld center of fusion categories, we generalize an earlier result on the functoriality of full center of simple separable algebras in a…
An intrinsically hydrodynamic approach to multidimensional QHD systems
Paolo Antonelli, Pierangelo Marcati, Hao Zheng
In this paper we consider the multi-dimensional Quantum Hydrodynamics (QHD) system, by adopting an intrinsically hydrodynamic approach. The present work continues the analysis init…
Genuine Hydrodynamic Analysis to the 1-D QHD system: Existence, Dispersion and Stability
Paolo Antonelli, Pierangelo Marcati, Hao Zheng
In this paper we consider the one dimensional quantum hydrodynamics (QHD) system, with a genuine hydrodynamic approach. The global existence of weak solutions with large data has b…