A programmable array of strontium clock qubits

Alkaline-earth tweezer arrays are a powerful tool for manipulating atomic ensembles with access to narrow-linewidth optical transitions. Interfacing these arrays with the technologies of Rydberg excitation and optical lattices naturally enables the exploration of many-body simulation, information processing and quantum-enhanced metrology in a single platform. Here we report on creating a programmable spin model of optical clock qubits using strontium atoms implanted into an optical lattice. Spin squeezing on the clock transition is performed by using Rydberg dressing to realize finite-range Ising interactions, while high-fidelity 2-qubit entangling gates are achieved in the resonant regime. Optimal control provides a promising route toward higher degrees of squeezing and further improved gate fidelities. To augment differential clock comparisons, we additionally demonstrate local Z-gates by patterning the lattice with tunable and well-controlled tweezer light shifts.