Rydberg blockade based parity quantum optimization

We present a scalable architecture for solving higher-order constrained binary optimization problems on current neutral-atom hardware operating in the Rydberg blockade regime. In particular, we formulate the recently developed parity encoding of arbitrary connected higher-order optimization problems as a maximum-weight independent set ($\mathsf{\text{MWIS}}$) problem on disk graphs, that are directly encodable on such devices. Our architecture builds from small $\mathsf{\text{MWIS}}$ modules in a problem-independent way, crucial for practical scalability.