3 citations · 4 across the 8 of their papers we have counts for
4 papers · 1 filter
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…