Resource-Theoretic Quantifiers of Weak and Strong Symmetry Breaking: Strong Entanglement Asymmetry and Beyond
The paper develops a new resource theory to quantify how much quantum states break strong symmetries. It introduces rigorous measures like Entanglement Asymmetry and Averaged Logarithmic Characteristic Functions, proving they are resource monotones. This framework moves beyond simple proxies to provide a principled way to measure symmetry breaking in complex quantum systems.