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Quantum Physics
Title: Disentangling transitions in topological order induced by boundary decoherence
(Submitted on 9 Apr 2024 (v1), last revised 27 Apr 2024 (this version, v2))
Abstract: We study the entanglement structure of topological orders subject to decoherence on the bipartition boundary. Focusing on the toric codes in $d$ space dimensions for $d=2,3,4$, we explore whether the boundary decoherence may be able to induce a disentangling transition, characterized by the destruction of mixed-state long-range entanglement across the bipartition, measured by topological entanglement negativity. A key insight of our approach is the connection between the negativity spectrum of the decohered mixed states and emergent symmetry-protected topological orders under certain symmetry-preserving perturbation localized on the bipartition boundary. This insight allows us to analytically derive the exact results of entanglement negativity without using a replica trick.
Submission history
From: Tsung-Cheng Lu [view email][v1] Tue, 9 Apr 2024 17:59:55 GMT (1064kb,D)
[v2] Sat, 27 Apr 2024 00:15:54 GMT (1064kb,D)
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