RT Journal Article
T1 Thermalization in Kitaev’s quantum double models via Tensor Network techniques
A1 Lucia, Angelo
A1 Pérez García, David
A1 Pérez Hernández, Antonio
AB 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.
YR 2021
FD 2021
LK https://hdl.handle.net/20.500.14352/8419
UL https://hdl.handle.net/20.500.14352/8419
LA eng
NO Unión Europea. H2020
NO Ministerio de Ciencia e Innovación (MICINN)
NO Comunidad de Madrid
NO Ministerio de Ciencia e Innovación (MICINN)
DS Docta Complutense
RD 26 mar 2026