Quantum optimization with globally driven neutral atom arrays
Neutral atoms trapped in configurable tweezer arrays are a promising platform for solving hard optimization problems. While such platforms natively embed unit-disk maximum weight independent set (UD-MWIS) problems, general problem classes require an embedding that maps them onto UD-MWIS instances. Implementing the necessary asymmetric weights has so far required local control of detunings at each atom. Here, we demonstrate quantum optimization using strictly global driving fields, eliminating the need for local field control. Instead, to effectively implement the required local detunings we exploit weak Rydberg interactions---too weak to generate Rydberg blockade but strong enough to effectively induce the required local detunings. For this, we introduce the concept of precisely placed anchor atoms that impose controlled energy shifts on nearby atoms which can be effectively considered as induced local detunings. We demonstrate that parity-architecture-based neutral atom embeddings of general optimization problems allow for a successful anchor placement strategy, such that all demanded local fields can be replaced by anchors. We experimentally demonstrate this concept on a Pasqal Orion Alpha machine and benchmark all standard building blocks. Finally, we solve quadratic unconstrained binary optimization (QUBO) problems on four-node all-to-all connected graphs embedded in a 43-atom array using seven precisely-placed anchor atoms. By removing the requirement for local addressing, our work overcomes a major experimental bottleneck in solving optimization problems on neutral-atom quantum hardware and can be readily integrated into existing platforms.