Efficient simulation of strongly correlated fermions with dual-species Rydberg atom arrays

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 model, which offers microscopic insights into the interplay of collective symmetry breaking order and high-temperature superconductivity. Standard 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 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 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. Moreover, we develop dissipative state preparation protocols designed for strongly correlated electronic systems, allowing for robust preparation of superconducting states. Our framework facilitates the development of a broader class of high-fidelity native gates and dissipative state preparation protocols, substantially expanding the toolbox for quantum simulation.

[1] Hu et al., arXiv 2508.19075