Strong Symmetry from Two-Point Correlations

arXiv:2609.23591 · quant-ph, cond-mat.str-el, hep-th · Submitted 2026-09-20 · Read on arXiv

quant-ph, cond-mat.str-el, hep-th

Submitted: 2026-09-20

Updated: 2026-09-20

Terminology

• Symmetry Breaking — 14× in this paper · explained in 3 episodes
• Entanglement — 6× in this paper · explained in 3 episodes
• Fidelity — 3× in this paper · explained in 2 episodes
• Trace — 3× in this paper · explained in 2 episodes
• Conservation Laws — 2× in this paper · explained in 3 episodes
• Topological Order — 2× in this paper · explained in 2 episodes
• Additivity — 1× in this paper · explained in 1 episode
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Lindblad Dynamics — 1× in this paper · explained in 2 episodes
• Lindblad master equation — 1× in this paper · explained in 2 episodes
• Multipartite Entanglement — 1× in this paper · explained in 2 episodes
• Spin Squeezing — 1× in this paper · explained in 2 episodes

Sources

• Mixed-state quantum anomaly and multipartite entanglement
• A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
• Symmetries and conserved quantities in Lindblad master equations
• Symmetry Protected Topological Order in Open Quantum Systems
• Symmetry Protected Topological Phases of Mixed States in the Doubled Space
• Symmetry enforced entanglement in maximally mixed states
• Highly entangled stationary states from strong symmetries
• Strong-to-Weak Spontaneous Symmetry Breaking in Mixed Quantum States
• Spontaneous Strong Symmetry Breaking in Open Systems: Purification Perspective
• Spontaneous symmetry breaking in open quantum systems: strong, weak, and strong-to-weak
• Strong and weak symmetries and their spontaneous symmetry breaking in mixed states emerging from the quantum Ising model under multiple decoherence
• Quantum Overlapping Tomography
• Predicting Many Properties of a Quantum System from Very Few Measurements
• Experimental demonstration of Quantum Overlapping Tomography
• Optimal spin squeezing inequalities detect bound entanglement in spin models
• Macroscopic singlet states for gradient magnetometry
• $su(d)$-squeezing and many-body entanglement geometry in finite-dimensional systems
• Quantum codes give counterexamples to the unique pre-image conjecture of the N-representability problem
• Only n-Qubit Greenberger-Horne-Zeilinger States are Undetermined by their Reduced Density Matrices
• Resource-Theoretic Quantifiers of Weak and Strong Symmetry Breaking: Strong Entanglement Asymmetry and Beyond

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