Mixed-state phases of (1+1)D systems with finite group symmetry are classified by condensable algebras in the doubled topological order Z(Vec_{GxG}) subject to Hermiticity and positivity constraints.
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Topological Holography for Mixed-State Phases and Phase Transitions
Mixed-state phases of (1+1)D systems with finite group symmetry are classified by condensable algebras in the doubled topological order Z(Vec_{GxG}) subject to Hermiticity and positivity constraints.