We will discuss the recent advances involving programmable, coherent manipulation of quantum systems based on neutral atom arrays excited into Rydberg states, allowing the control over several hundred qubits in two spatial dimensions. Recent developments involving both analog and digital quantum simulations and quantum information processing will be described. In particular, we will discuss the
realization and testing of quantum optimization algorithms and the realization of the novel quantum processing architecture based on dynamically reconfigurable entanglement. Recent advances involving demonstration of parallel high-fidelity quantum operations and the steps towards quantum error correction will be described. Finally, we will discuss our efforts towards using these techniques for realization of large-scale quantum processors.