subspaces. We have shown the first non-Abelian geometric quantum gate using an Abelian gauge field [5], and presented an optimal construction using the quantum metric. The concept of holonomic gates can [...] and S.Scheel, A Passive PT-Symmetric Floquet-Coupler, preprint - Dezember 2020 - arXiv:2012.11991 [5] M. Kremer, L. Teuber, S. Szameit, S. Scheel, Optimal design strategy for non-Abelian geometric phases
https://www.qms.physik.uni-rostock.de/en/forschung/rydberg-physics-with-semiconductor-excitons/