I am about to start my BSc Theoretical Physics project on Topological Quantum Computation. I have studied the basics of quantum mechanics, condensed matter phys, statistical mechanics. Are there any introductory texts / resources anyone can recommend?
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Instead of a book (actually the start of the art is not so advanced), I would suggest this article http://physicstoday.scitation.org/doi/abs/10.1063/1.2337825?journalCode=pto and obviously the bibliography related.
I think that pure topological state are very hard to be numerically simulated (In particular:what's the goal?), but many body systems are unavoidable if you are trying to get into this marvellous theoretical field.
Ising model, Heisenbeg model and many others are well approximating systems that are studied in depth and are right now one of the most hottest area of theoretica/computational physics, mostly due to its strict connections with Neural Networks and machine deep-learning algorithms.