74 citations · 328 across the 46 of their papers we have counts for
46 papers
Categorical Tensor-Graph Semantics for Quantum Algorithms
Naihong Hu, Ruining Li, Futao Wang
This paper investigates foundational quantum computing protocols from the intuitive perspective of categorical tensor-graph semantics within the category \textbf{FHilb}. While conv…
Quotient Hopf algebras of the free bialgebra with PBW bases and GK-dimensions
Huan Jia, Naihong Hu, Rongchuan Xiong +1
Let be a field. We study the free bialgebra generated by the coalgebra and its quotient bialgebras (or Hopf algebras…
Quantum Supergroup , Scasimir Operators, and Dickson polynomials
Fu Liu, Naihong Hu, Naihuan Jing
We study the center of the two-parameter quantum supergroup using the Dickson polynomial. We show that the Scasimir operator is completely determined by the …
Classification of finite-dimensional Hopf algebras over dual Radford algebras
Rongchuan Xiong, Naihong Hu
We determine and classify all finite-dimensional Hopf algebras over an algebraically closed field of characteristic zero whose Hopf coradicals are isomorphic to dual Radford algebr…
On some classification of finite-dimensional Hopf algebras over the Hopf algebra of Kashina
Yiwei Zheng, Yun Gao, Naihong Hu +1
Let be the dual of -dimensional nontrivial semisimple Hopf algebra in the classification work of Kashina \cite{K00}. We completely determine all finite-dimensiona…
Drinfel'd doubles of the -rank Taft algebras and a generalization of the Jones polynomial
Ge Feng, Naihong Hu, Yunnan Li
In the paper, we describe the Drinfel'd double structure of the -rank Taft algebra and all of its simple modules, and then endow its -matrices with some application to knot i…