  We analyze the phase diagram of a topological insulator model including
antiferromagnetic interactions in the form of an extended Su-Schrieffer Heeger
model. To this end, we employ a recently introduced operational definition of
topological order based on the ability of a system to perform topological error
correction. We show that the necessary error correction statistics can be
obtained efficiently using a Monte-Carlo sampling of a matrix product state
representation of the ground state wave function. Specifically, we identify two
distinct symmetry-protected topological phases corresponding to two different
fully dimerized reference states. Finally, we extend the notion of error
correction to classify thermodynamic phases to those exhibiting local order
parameters, finding a topologically trivial antiferromagnetic phase for
sufficiently strong interactions.
