3 papers
cond-mat.str-el2026
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…
quant-ph2025
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…
math-ph2025
Topological Orders from Reflection Positive Frustration-free Hamiltonians
Zhengwei Liu, Zishuo Zhao
We establish a framework with reflection positivity as the first principle for establishing the boundary theory of topologically ordered quantum spin systems. For any reflection po…