From Qubits to Communities: Hybrid Quantum Coordination for Future Collective Economies

We report the first hardware-executed quantum-classical coordination pipeline on NISQ hardware for a societal coordination problem task-to-member matching in a 500-agent community economy. The three-stage architecture (AI decomposition → 19 qubit quantum semantic scoring on IBM Heron R2 classical QUBO assignment) executes end-to-end on three Heron R2 processors (ibm_fez,ibm_marrakesh, ibm_kingston). We observe a three-tier regret stratification: (i) a noiseless ceiling at 1.48% (five independent simulator controls + ibm_marrakesh), (ii) a classical-kernel tier at 0.86% via the Shin–Teo–Jeong (2024) dequantization kernel K_c, and (iii) a hardware tier at 0.61% reproduced independently on ibm_fez and ibm_kingston with identical θ. Since K_c's RKHS provably contains the quantum kernel's RKHS at logical depth, the hardware tier is a reproducible operating regime outside the dequantized function class. A companion multi-cycle society-model experiment shows pipeline weight choice is a time-horizon-dependent policy decision; the QUBO matcher also acts as a performative Granovetter machine (80% more weak ties than greedy, p = 9.1 × 10⁻⁵, d ≈ 27 at n = 10 runs).