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Lett. 96, 220601 (2006).https://hdl.handle.net/20.500.14352/8419We show that the Davies generator associated to any 2D Kitaev’s quantum double model has a non-vanishing spectral gap in the thermodynamic limit. This validates rigorously the extended belief that those models are useless as self-correcting quantum memories, even in the non-abelian case. The proof uses recent ideas and results regarding the characterization of the spectral gap for parent Hamiltonians associated to Projected Entangled Pair States in terms of a bulk-boundary correspondence.engjournal articlehttps://doi.org/10.48550/arXiv.2107.01628open access530.145Quantum physicsMathematical physicsFísica matemáticaTeoría de los quanta2210.23 Teoría Cuántica