Extended Data Fig. 1: Honeycomb lattice layout and experiment sequence.

a, Mapping from honeycomb geometry into experimental array geometry used, indicating link orientations, an example column, and an example plaquette orientation. We use this mapping in order to shrink the number of rows needed, as well as put the atoms into a rectangular grid which is convenient for atom motion and local Raman operations. b, Loss radius definition for error detection based on atom loss. The central (white) atom is the reference point, and for loss radius of 0, we postselect on this atom being present at the end of the circuit. For a larger loss radius, we postselect on atoms within a certain local region being present. For string observables, we perform this procedure for all atoms within the string. c, High-level overview of the experimental sequence used in these experiments, including feedforward topological state preparation, Floquet evolution, and measurement steps. The Fermi-Hubbard quantum simulations in Fig. 5 have an additional part of the Floquet circuits for engineering the onsite density-density interactions.