Exploring quantum computing frontier with programmable atom arrays

We will discuss recent advances in realizing programmable quantum systems using neutral atom arrays excited into Rydberg states. These systems allow control over several hundred qubits in two dimensions and the exploration of quantum algorithms with encoded logical qubits and quantum error correction techniques. Recent experiments using such neutral atom systems have redefined this exciting scientific frontier of quantum computing. They herald the advent of early error-corrected quantum computation and chart a path towards large-scale logical processors. Examples of emerging scientific directions, in areas ranging from many-body physics and quantum chemistry to quantum gravity will be discussed.