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arXiv · 2107.01628

Thermalization in Kitaev's quantum double models via Tensor Network techniques

Angelo Lucia·David Pérez-García·Antonio Pérez-Hernández
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Abstract

We 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.

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Angelo Lucia, David Pérez-García, Antonio Pérez-Hernández. 2021-07-04. Thermalization in Kitaev's quantum double models via Tensor Network techniques. https://doi.org/10.1017/fms.2023.98

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