用量子博弈电路预测四螺旋创新中的颠覆性资本走向
Parameterized 4-Qubit EWL Quantum Game Circuits with Dirac-Solow-Swan Hamiltonian Integration for Quadruple Helix Disruptive Innovation Recommender Systems
- 设计4量子比特参数化量子电路，融合真实资助数据调参
- 仅22个门、深度11，可高效模拟多轮协同创新过程
- 结合相对论经济模型，适合政策制定者与创新决策者
我们提出一种新型参数化4量子比特Eisert-Wilkens-Lewenstein（EWL）量子博弈电路，用于四螺旋创新生态系统（学术界、产业界、政府与公民社会）中的推荐系统。每位参与者局部策略算子 $U_{i} = R_y(θ_{i})$ 由欧洲委员会CORDIS Horizon Europe数据库中项目COVend（ID 101045956）的真实资助数据提取的归一化主导权重（ecContribution）直接调节。电路采用多量子比特EWL纠缠器，后接参数化局部旋转、逆纠缠器和全测量，仅需22个门、深度11，且随 $n$-轮螺旋通信呈 $O(n)$ 可扩展。测量概率作为颠覆性与延续性创新趋势的推荐得分，随后映射至狄拉克-索洛-斯旺哈密顿量的对角狄拉克势，实现颠覆性创新下资本积累与分岔动力学的时间演化模拟。在真实CORDIS四螺旋合作网络上的数值实验表明，该电路具备NISQ兼容性，并能高保真预测颠覆性资本轨迹。该框架融合量子博弈理论、参数化量子电路与相对论经济增长模型，为复杂社会经济生态中的创新政策与战略决策提供高效计算工具。复杂度分析与可复现性通过开源Qiskit实现。
原文摘要 · Abstract (English)
We present a novel parameterized 4-qubit Eisert-Wilkens-Lewenstein (EWL) quantum game circuit for recommender systems in quadruple helix innovation ecosystems (academia, industry, government, and civil society). The local strategy operators $U_{i} = R_y(θ_{i})$ for each helix actor are directly tuned by normalized dominance weights extracted from real participant funding data (\texit{ecContribution}) in the European Commission CORDIS Horizon Europe database (project COVend, ID 101045956). The circuit employs a multi-qubit EWL entangler followed by parameterized local rotations, inverse entangler, and full measurement, achieving only 22 gates and circuit depth 11 while scaling as $O(n)$ for $n$-round helix communications. Measurement probabilities after the quantum game serve as recommender scores for disruptive versus sustaining innovation trends. These scores are subsequently mapped into the diagonal Dirac potential of a Dirac-Solow-Swan Hamiltonian, enabling time-evolution simulation of capital accumulation and bifurcation dynamics under disruptive innovation. Numerical experiments on real CORDIS quadruple-helix collaboration networks demonstrate the circuit's NISQ compatibility and its ability to forecast disruptive capital trajectories with high fidelity. The proposed framework bridges quantum game theory, parameterized quantum circuits, and relativistic economic growth models, offering a computationally efficient tool for innovation policy and strategic decision-making in complex socio-economic ecosystems. Complexity analysis and reproducibility are provided through open Qiskit implementations.
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