Citation: Kesselring, Markus S., et al. "The boundaries and twist defects of the color code and their applications to topological quantum computation." Quantum 2 (2018): 101.
Web: https://quantum-journal.org/papers/q-2018-10-19-101/
Tags: Abelian-anyons
As alluded to in the title, this paper deals with the boundaries and twist defects of the color code, and then details their applications to topological quantum computation. This is a really good general-purpose reference for topological defects (for instance, domain walls) in color codes.
Additionally, this paper finds a nice way to arrange the qubits of a color code to maximize code distance, which they call the "stellated" method, because the configurations tend to look like stars.
The color code is very closely related to the surface code, so at the end of the paper there is a a good discussion of how to pass over the color-code discussion to the surface code case. In particular, they define some "stellated" surface codes.
The algorithms discussed in this paper are very practical, showing a strong mind towards near-term applications.