5 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…
Complexity of tensor network simulation for noisy quantum circuits
Yuguo Shao, Zishuo Zhao, Song Cheng +1
We aim to rigorously address how local noise affects classical simulability of quantum dynamics benchmarked by tensor-network methods. Using operator entanglement entropy (OEE), we…
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…
Bimodule Quantum Markov Semigroups
Jinsong Wu, Zishuo Zhao
We present a systematic investigation of bimodule quantum Markov semigroups within the framework of quantum Fourier analysis. We introduce the concepts of bimodule detailed balance…
Relative Entropy for Quantum Channels
Zishuo Zhao
We introduce an quantum entropy for bimodule quantum channels on finite von Neumann algebras, generalizing the remarkable Pimsner-Popa entropy. The relative entropy for Fourier mul…