This set of lecture notes forms the basis of a series of lectures delivered
at the 48th IFF Spring School 2017 on Topological Matter: Topological
Insulators, Skyrmions and Majoranas at Forschungszentrum Juelich, Germany. The
first part of the lecture notes covers the basics of abelian and non-abelian
anyons and their realization in the Kitaev's honeycomb model. The second part
discusses how to perform universal quantum computation using Majorana fermions.Comment: In Topological Matter: Topological Insulators, Skyrmions and
Majoranas, Lecture notes of the 48th IFF Spring School 2017, eds. S. Bluegel,
Y. Mokrusov, T. Schaepers, and Y. Ando (Forschungszentrum Juelich, Key
Technologies, Vol. 139, 2017), Sec. D