Citation: Bonderson, Parsa, Christina Knapp, and Kaushal Patel. "Anyonic entanglement and topological entanglement entropy." Annals of Physics 385 (2017): 399-468.
Web: https://arxiv.org/abs/1706.09420
Tags: Modular-tensor-categories, Information-theory
In this paper, the authors set up a theory of anyon diagrammatics (especially of mixed-state anyon diagrammatics), and use it to great effect to define/compute relevant entropic quantities for topological order. In particular, once you define mixed state diagrammatics, you can define the von Neumann/renyi entropy using the usual formulas. This is certainly a good reference for people curious about how exactly to reason about anyon diagrammatics, including manifolds of arbitrary genus with arbitrarily many holes.
There don't seem to be any particular results or theorems that stand out from the rest. Mainly, they set up the definitions and then give ample worked examples.