I am looking for a book/review article/website which covers applications of condensed matter theory (CMT) to quantum information. In particular, I am interested in such topics as a mathematical description of anyonic braiding, topological insulators, and the toric code and other interfaces between string-net models and quantum information. Applications of computation methods in condensed matter (path integral Monte Carlo, density matrix renormalization group, etc) would be greatly appreciated.
I would prefer the reference to be as rigorous as possible, with questions at the end of each chapter/section. Solutions to questions need not be included. Prerequisites would include an understanding of some quantum field theory and second quantization--basically, all of Sakurai and the majority of Xiao-Gang Wen's book "Quantum Field Theory of Many-Body Systems". I am not picky with writing style--just as long as its extensive and covers a lot of topics in detail. It would be nice if the author left some of the finer derivations as exercises for the reader, but that is not absolutely necessary.