A resource theory for strong symmetry breaking is formulated, with the variance of the conserved quantity characterizing its asymptotic manipulation for U(1) symmetry and enabling tracking of weak-to-strong conversion in open systems.
Quantum geometric tensor determines the iid conversion rate in the resource theory of asymmetry for any compact lie group.arXiv preprint arXiv:2411.04766, 2024
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Introduces semi-classical geometric tensor relating quantum geometric tensor to classical Fisher information matrix and proves a sharpened matrix inequality for multiparameter quantum bounds.
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Resource-Theoretic Quantifiers of Weak and Strong Symmetry Breaking: Strong Entanglement Asymmetry and Beyond
A resource theory for strong symmetry breaking is formulated, with the variance of the conserved quantity characterizing its asymptotic manipulation for U(1) symmetry and enabling tracking of weak-to-strong conversion in open systems.
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Semi-classical geometric tensor in multiparameter quantum information
Introduces semi-classical geometric tensor relating quantum geometric tensor to classical Fisher information matrix and proves a sharpened matrix inequality for multiparameter quantum bounds.