Symmetry enforces entanglement at high temperatures
quant-ph, cond-mat.stat-mech
Submitted: 2025-08-27
Updated: 2026-09-17
Terminology
Sources
- Quantum Gibbs states are locally Markovian
- Clustering of conditional mutual information and quantum Markov structure at arbitrary temperatures
- High-Temperature Gibbs States are Unentangled and Efficiently Preparable
- The Fate of Entanglement
- Strong-to-Weak Spontaneous Symmetry Breaking in Mixed Quantum States
- Strong-to-weak spontaneous breaking of 1-form symmetry and intrinsically mixed topological order
- Topological Phases with Average Symmetries: the Decohered, the Disordered, and the Intrinsic
- Tensor network formulation of symmetry protected topological phases in mixed states
- Symmetry Protected Topological Phases of Mixed States in the Doubled Space
- Entanglement cost hierarchies in quantum fragmented mixed states
- Higher-form anomaly and long-range entanglement of mixed states
- How Much Entanglement Is Needed for Topological Codes and Mixed States with Anomalous Symmetry?
- Symmetry-enforced minimal entanglement and correlation in quantum spin chains
- Anomaly in open quantum systems and its implications on mixed-state quantum phases
- Higher-Form Anomalies Imply Intrinsic Long-Range Entanglement
- Lindbladians with multiple steady states: theory and applications
- Superselection Rules
- Symmetry-induced failures of tomographic locality: Constructing foil theories by twirling
- On whether quantum theory needs complex numbers: the foil theories perspective
- Extendibility of Fermionic Gaussian States
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