Yuri Lensky

Title: Observation of non-Abelian braiding

Abstract: As a striking consequence of quantum mechanics in 2 dimensions, the global state of locally non-interacting particles can undergo a change when they are moved around each other, based only on the topology of the resulting braid. This phenomenon is called non-Abelian braiding, and has been investigated as a theoretical possibility since the 1980's until today, with most recent interest focused on applications to quantum computation and the classification of gapped 2D phases of matter. We describe the first observation of non-Abelian braiding, as well as the theoretical foundations and design principles behind the experiment.

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