  We propose a novel parameter, the anyonic topological entropy, designed to
detect the error correcting phase of a topological memory. Unlike similar
quantities such as the topological entropy, the anyonic topological entropy is
defined using the states of the anyon occupations. As such, though the
parameter deals with phases and phase transitions that are quantum in nature,
it can be calculated solely from classical probability distributions. In many
cases, these calculations will be tractable using efficient classical
algorithms. The parameter therefore provides a new avenue for efficient studies
of anyonic systems.
