Quantum-logistical superposition: Solving the polytime paradox in global network optimization for perishable flux

The loss of $2.8 billion in COVID-19 vaccines in 2022 exemplifies the critical inefficiency of classical computing in optimizing perishable flux networks under severe time constraints. This research addresses the polytime paradox in NP-hard (nondeterministic polynomial-time–verifiable) multi-echelon routing for pharmaceuticals and food. Current solvers require over 72 hours, while the viability windows are merely 12 hours, making optimization operationally unfeasible. The analysis employs hybrid quantum-classical simulations (Qiskit/CPLEX), a global director survey, and eight case studies of perishable supply chains, revealing that quantum-inspired algorithms reduce routing computation time by 98% (from 4 hours to 5 minutes) and decrease spoilage by 41%. Importantly, "superposition routing" realizes a 33% reduction in emissions through entanglement-inspired path consolidation. This work presents the validated Quantum Readiness Index (QRI) alongside a practical 90-Day Hybrid Adoption Roadmap, converting theoretical advancements into concrete supply chain resilience.