442 citations · 2.3k across the 48 of their papers we have counts for
4 papers · 1 filter
One dimensional gapped quantum phases and enriched fusion categories
Liang Kong, Xiao-Gang Wen, Hao Zheng
In this work, we use Ising chain and Kitaev chain to check the validity of an earlier proposal in arXiv:2011.02859 that enriched fusion (higher) categories provide a unified catego…
Categories of quantum liquids II
Liang Kong, Hao Zheng
We continue to develop the theory of separable higher categories, including center functors, higher centralizers, modular extensions and group theoretical higher fusion categories.…
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…