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Floquet systems offer a versatile toolbox for engineering quantum phases that are not allowed or at least more difficult to obtain in equilibrium systems. A prominent example are time crystals, which spontaneously break discrete time-translation symmetry. Closely related to time crystals are Floquet topological phases, such as those found in the driven Kitaev chain. I will discuss how to perform braiding of non-Abelian degrees of freedom - the elementary operation of topological quantum computation - in such a driven topological superconductor. Unlike the equilibrium case, where braiding can only be performed in two-dimensional systems (or at least 2d networks of 1d systems), braiding here is realized in a strictly one-dimensional system, thus potentially simplifying experimental demonstration.

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Bela Bauer, Microsoft Research / Station Q
Seminar Room of the Institute of Physics II
Contact: Simon Trebst