3 citations · 4 across the 8 of their papers we have counts for
8 papers
Axiomatization of the Levin--Wen Wave Function
Zhengwei Liu, Zishuo Zhao
The Levin--Wen model provides a lattice realization of topological orders associated with a given unitary fusion category. A longstanding open problem is to characterize Levin--Wen…
Topological Orders from Reflection Positive Frustration-free Hamiltonians
Zhengwei Liu, Zishuo Zhao
We establish a framework based on reflection positivity for analyzing topologically ordered quantum spin systems and reconstructing their boundary algebras. For any reflection posi…
Test Schwartz functions at for theta lifts of Hida families
Zheng Liu
We construct Hida families of theta lifts from definite orthogonal and unitary groups. A major ingredient of the construction is the choice of test Schwartz functions at places div…
2D Quon Language: Unifying Framework for Cliffords, Matchgates, and Beyond
Byungmin Kang, Chen Zhao, Zhengwei Liu +2
Simulating generic quantum states and dynamics is practically intractable using classical computers. However, certain special classes -- namely Clifford and matchgate circuits -- p…
Quon Classical Simulation: Unifying Cliffords, Matchgates and Entanglement
Zixuan Feng, Zhengwei Liu, Fan Lu +1
We propose a new framework of topological complexity to study the computational complexity of quantum circuits and tensor networks. Within this framework, we establish the Quon Cla…
Classification of exchange relation planar algebras through sieving forest fusion graphs
Fan Lu, Zhengwei Liu
We suggest a classification scheme for subfactorizable fusion bialgebras, particularly for exchange relation planar algebras. This scheme begins by transforming infinite diagrammat…
-adic -functions for II
Zheng Liu
We construct four-variable -adic -functions for cuspidal Hida families on and prove a complete interpolation formula. The archimedean zeta int…
Triangular Prism Equations and Categorification
Zhengwei Liu, Sebastien Palcoux, Yunxiang Ren +1
We introduce the triangular prism equations (TPE) for fusion categories, obtained by evaluating triangular prisms in terms of tetrahedra. Using an oriented graphical calculus, we s…