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Parameterized 4-Qubit EWL Quantum Game Circuits with Dirac-Solow-Swan Hamiltonian Integration for Quadruple Helix Disruptive Innovation Recommender Systems

Agung Trisetyarso, Fithra Faisal Hastiadi, Kridanto Surendro

arXiv 18 May 2026 · quant-ph

arXiv:2605.18080 · PDF · DOI · OpenAlex · Extracted main text

Abstract

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.

Citation extraction

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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Trisetyarso, A., Hastiadi, F.F.: Quantum Algorithm for Recommender S… (2025) self1.00076100%
2Eisert, J., Wilkens, M., Lewenstein, M.: Quantum games and quantum s… (1999)1.00055100%
3Kerenidis, I., Prakash, A.: Quantum recommendation systems. In: Proc… (2017)1.00054100%
4European Commission: CORDIS – Community Research and Development Inf… (2023) https://data.europa.eu/data/datasets/cordis-eu-research-projects-under-horizon-europe-2021-20270.84333100%
5Qiskit Development Team: Qiskit: An open-source framework for quantu… (2024) https://qiskit.org0.84333100%
6Carayannis, E.G., Campbell, D.F.J.: `Mode 3' and `Quadruple Helix':… (2009)0.64422100%
7Benjamin, Simon C and Hayden, Patrick M.: Multiplayer quantum games… (2001)0.40511100%
8Biamonte, J., et al.: Quantum machine learning. Nature 549(7671), 19… (2017)0.40511100%
9Christensen, C.M.: The Innovator's Dilemma. Harvard Business School… (1997)0.40511100%
han2019unmatched citation key han20190.40511100%

Showing the top 10 of 13 scored citations. 1 of these could not be matched to a bibliography entry, so only the citation key is shown.