2024/04/09 by Tsung-Cheng Lu, Lu, Tsung-Cheng · 1 citation
Biochemistry, Genetics and Molecular Biology · Computer Science · #Advanced Mathematical Modeling in Engineering #Diffusion and Search Dynamics #FOS: Physical sciences #Quantum Physics (quant-ph) #Statistical Mechanics (cond-mat.stat-mech) #Strongly Correlated Electrons (cond-mat.str-el)
paper · pdf · doi:10.48550/arxiv.2404.06514
openalex publication_date 2024/04/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.