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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/9707021 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 universities or research centers active in the field (preferably in Europe)?

  3. Any reference suggested? (Better if beginner-focused)

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Before answering, please see our policy on resource recommendation questions. Please write substantial answers that detail the style, content, and prerequisites of the book, paper or other resource. Explain the nature of the resource so that readers can decide which one is best suited for them rather than relying on the opinions of others. Answers containing only a reference to a book or paper will be removed!

closed as primarily opinion-based by Kyle Kanos, Prahar, Brandon Enright, Kyle Oman, JamalS May 30 '14 at 20:08

Many good questions generate some degree of opinion based on expert experience, but answers to this question will tend to be almost entirely based on opinions, rather than facts, references, or specific expertise. If this question can be reworded to fit the rules in the help center, please edit the question.

  • $\begingroup$ possible duplicate of Book recommendations $\endgroup$ – Kyle Kanos May 30 '14 at 17:45
  • $\begingroup$ Note also that question (4) is entirely opinion-based which is off-topic here. $\endgroup$ – Kyle Kanos May 30 '14 at 17:57
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    $\begingroup$ Do you think that question 4) is opinion-based, or the whole question? In the first case I will simply remove it. $\endgroup$ – giulio bullsaver May 30 '14 at 20:30
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    $\begingroup$ Actually, I meant 3 specifically but typed 4 by accident. But looking further at these, I think all of them are really opinion-based. $\endgroup$ – Kyle Kanos May 30 '14 at 23:33