Entanglement negativity in decohered topological states

• URL: http://arxiv.org/abs/2602.16597v1
• Date: Wed, 18 Feb 2026 16:52:14 GMT
• Title: Entanglement negativity in decohered topological states
• Abstract summary: We investigate universal entanglement signatures of mixed-state phases obtained by decohering pure-state topological order (TO)<n>For Abelian TOs under decoherence, we develop a replica field-theory framework based on a doubled-state construction.<n>We interpret the results within the strong one-form-symmetry framework for mixed-state TOs.
• Score: 1.6625568776007624
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate universal entanglement signatures of mixed-state phases obtained by decohering pure-state topological order (TO), focusing on topological corrections to logarithmic entanglement negativity and mutual information: topological entanglement negativity (TEN) and topological mutual information (TMI). For Abelian TOs under decoherence, we develop a replica field-theory framework based on a doubled-state construction that relates TEN and TMI to the quantum dimensions of domain-wall defects between decoherence-induced topological boundary conditions, yielding general expressions in the strong-decoherence regime. We further compute TEN and TMI exactly for decohered $G$-graded string-net states, including cases with non-Abelian anyons. We interpret the results within the strong one-form-symmetry framework for mixed-state TOs: TMI probes the total quantum dimension of the emergent premodular anyon theory, whereas TEN detects only its modular part.

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