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math-ph2025
How to Build Anomalous (3+1)d Topological Quantum Field Theories
Arun Debray, Weicheng Ye, Matthew Yu
We develop a systematic framework for constructing (3+1)-dimensional topological orders or topological quantum field theories (TQFTs) that realize specified anomalies of finite sym…
quant-ph2025
Universal quantum phase classification on quantum computers from machine learning
Weicheng Ye, Shuwei Liu, Shiyu Zhou +1
The classification of quantum phases of matter remains a fundamental challenge in condensed matter physics. We present a novel framework that combines shadow tomography with modern…
math-ph2025
Global Structure in the Presence of a Topological Defect
Arun Debray, Weicheng Ye, Matthew Yu
We investigate the global structure of topological defects which wrap a submanifold in a quantum field theory defined on a closed manifold . The Pontryagin-Thom con…