RT Journal Article
T1 Scaling law for topologically ordered systems at finite temperature
A1 Iblisdir, I.
A1 Pérez García, David
A1 Aguado, M.
A1 Pachos, J.
AB Understanding the behavior of topologically ordered lattice systems at finite temperature is a way of assessing their potential as fault-tolerant quantum memories. We compute the natural extension of the topological entanglement entropy for T>0, namely, the subleading correction I(topo) to the area law for mutual information. Its dependence on T can be written, for Abelian Kitaev models, in terms of information-theoretical functions and readily identifiable scaling behavior, from which the interplay between volume, temperature, and topological order, can be read. These arguments are extended to non-Abelian quantum double models, and numerical results are given for the D(S(3)) model, showing qualitative agreement with the Abelian case.
PB American Physical Society
SN 1098-0121
YR 2009
FD 2009-04-16
LK https://hdl.handle.net/20.500.14352/42495
UL https://hdl.handle.net/20.500.14352/42495
LA eng
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NO Spanish Ministry of Science
NO Comunidad de Madrid
NO Generalitat de Catalunya
NO MEC Spain
NO QAP EU
DS Docta Complutense
RD 14 may 2024