Group seminar at MPQ and Zoom: Topological Order in Programmable Quantum Devices: from Abelian to Non-Abelian Anyons

Ruben Verresen, Harvard University, USA
Group seminar at MPQ lecture hall and Zoom
Monday, December, 18 at 4pm (MEZ)

Abstract: Tunable quantum platforms, such as those made out of cold neutral atoms or ions, provide a new and exciting window into many-body quantum physics. In this talk, I will review two theory-experiment collaborations in the quest of creating and controlling phases of matter with topological order. The first is the realization of a kagome dimer model in Rydberg atom tweezer arrays---although the experiment dates from 2021 [Semeghini et al, Science (2021)], recent theoretical understanding uncovers how non-equilibrium physics can be used more broadly to prepare exotic states. The second experiment is the recent realization of non-Abelian topological order in Quantinuum's trapped-ion device [Iqbal et al, arxiv:2305.03766]. Therein we used measurement-and-feedforward to avoid no-go theorems, leading to a direct detection of non-Abelian braiding statistics. This opens up the experimental exploration of using the internal states of non-Abelions to encode and manipulate quantum information via braiding.