Native, parallel fermionic gates in Rydberg atom arrays using analog control

The study of strongly correlated fermionic systems is at the heart of modern quantum research and quantum simulation. A prime example is the Fermi-Hubbard (FH) model, which offers microscopic insights into the interplay of collective symmetry breaking order and high-temperature superconductivity. Standard digital quantum computing approaches cause substantial overhead when simulating fermionic models, restricting state preparation and quench dynamics to short times and small system sizes. We introduce a hybrid digital-analog algorithm based on the concept of analog universality [1] that is tailored to single- and dual-species reconfigurable atom arrays. Using optimal control, we realize high-fidelity fermionic hopping gates that require no further compilation and can be applied fully in parallel, enabling fermionic dynamics with a single, global, optimized multi-qubit gate. Incorporating noise models into matrix-product-state simulations, we identify optimal trotterization parameters for adiabatic state preparation. By using tailored spinful fermion-to-qubit encodings, coherent pair-pair correlations as well as spin- and density-correlations can be measured locally, allowing to efficiently study ground state properties. Our framework facilitates the development of a broader class of high-fidelity native gates, substantially expanding the toolbox for quantum simulation.

[1] Hu et al., arXiv 2508.19075