Quantum gates and algorithms using a 2D array of Cs neutral atom qubits.

We present our recent progress on implementing high fidelity two qubit gates using time optimal gate protocols in a two-dimensional atomic qubit array. To prepare the quantum register, laser cooled Cs atoms are loaded into a blue-detuned optical lattice, which is constructed from cross-hatched lines. We rearrange the atoms using optical tweezers to deterministically load atoms into targeted sites. We used top-hat shaped laser beams to perform simultaneous atom addressing for controlled phase gates via the Rydberg interaction. Short range mid-circuit transport is used to optimize gate operations for single and two qubit gates. Using this hardware, we implement a variational quantum eigensolver algorithm to estimate ground state energies of the Lipkin-Meshkov-Glick model.