Hybrid Quantum Optimization
Combinatorial optimization problems - routing, scheduling, resource allocation, and network design - underpin decision-making in logistics, finance, telecommunications, and infrastructure planning. Many of these problems are NP-hard, meaning that exact solutions become computationally intractable as problem size grows. This whitepaper describes a hybrid architecture in which a NISQ device generates candidate solutions via QAOA, a classical refinement stage repairs those candidates through structure-aware local search, and a formal verification layer establishes logical guarantees over the constraints a solution must satisfy.