High-Fidelity Entangling Gates and Strong Correlations in a Fermi-Hubbard Quantum Simulator*

Quantum simulation with ultracold atoms has opened a new research field for exploring strongly correlated quantum systems, offering insights into phenomena such as phase transitions and high-temperature superconductivity. In this work, we harness the capabilities of optical superlattices within our quantum gas microscope to precisely manipulate the phase and tunneling of atoms confined in isolated double wells- the essential building blocks for digital fermionic quantum computation. By leveraging this control, we implement high-fidelity two-qubit entangling gates with over 100 fermions and demonstrate how to engineer pulse sequences to construct gate fabrics relevant to quantum chemistry. When combined with analog simulation of the Fermi-Hubbard model, these gates will enable measurements of novel observables, such as coherent pairing correlations, at the microscopic scale, and shed new light on fundamental properties of the pseudogap or of mixed-dimensional systems.