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One of the most interesting properties of topologically ordered models with long ranged entanglement, such as Kitaev's toric code, is that they have anyonic excitations. The properties of these anyons can be recovered from first principles using techniques from mathematical physics, making it possible to put conjectures about such systems in a precise mathematical language. After explaining the main ideas behind this construction, I will discuss recent results on the stability of the excitation structure and on applications to quantum information theory.

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Pieter Naaijkens, RWTH Aachen
Seminar Room 0.03, ETP
Contact: Simon Trebst