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Scaling law for topologically ordered systems at finite temperature

By I. Iblisdir, David Pérez García, M. Aguado and J. Pachos

Abstract

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

Topics: Física matemática
Publisher: American Physical Society
Year: 2009
DOI identifier: 10.1103/PhysRevB.79.134303
OAI identifier: oai:www.ucm.es:17749
Provided by: EPrints Complutense

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