I am an undergraduate student and I would like to approach the subject of topological order with focus on topological quantum computation, I know (very) little QFT and basic algebraic topology (if that matters...).
To give a reference frame, I'd like to understand papers like http://arxiv.org/abs/quant-ph/9707021v1 or Preskill's great presentations: http://online.kitp.ucsb.edu/online/exotic_c04/preskill/, and later to take it as my field of research for a PhD.
So my questions are:
1) What kind of studies are useful/needed for this field? I assume Quantum Computation/Information are, but what else? Quantum Field Theories, Topology, Quantum Optics...?
2) Which are univerities or research centers active in the field (preferably in Europe)?
3) Any reference suggested? (Better if beginner-focused)