BILP-Q: Quantum Coalition Structure Generation

Supreeth Venkatesh; Antonio Macaluso; Matthias Klusch

In: Proceedings of 19th ACM International Conference on Computing Frontiers. ACM International Conference on Computing Frontiers (CF-2022), May 17-19, Turin, Italy, ACM, 2022.


Quantum AI is an emerging field that uses quantum computing to solve typical complex problems in AI. In this work, we propose BILP-Q, the first-ever general quantum approach for solving the Coalition Structure Generation problem (CSGP), which is notably NP-hard. In particular, we reformulate the CSGP in terms of a Quadratic Binary Combinatorial Optimization (QUBO) problem to leverage existing quantum algorithms (e.g., QAOA) to obtain the best coalition structure. Thus, we perform a comparative analysis in terms of time complexity between the proposed quantum approach and the most popular classical baselines. Furthermore, we consider standard benchmark distributions for coalition values to test the BILP-Q on small-scale experiments using the IBM Qiskit environment. Finally, since QUBO problems can be solved operating with quantum annealing, we run BILP-Q on medium-size problems using a real quantum annealer (D-Wave).


Deutsches Forschungszentrum für Künstliche Intelligenz
German Research Center for Artificial Intelligence