paper
arXiv cs.LG
November 18th, 2025 at 5:00 AM

Scalable Community Detection Using Quantum Hamiltonian Descent and QUBO Formulation

arXiv:2411.14696v3 Announce Type: replace-cross Abstract: We present a quantum-inspired algorithm that utilizes Quantum Hamiltonian Descent (QHD) for efficient community detection. Our approach reformulates the community detection task as a Quadratic Unconstrained Binary Optimization (QUBO) problem, and QHD is deployed to identify optimal community structures. We implement a multi-level algorithm that iteratively refines community assignments by alternating between QUBO problem setup and QHD-based optimization. Benchmarking shows our method achieves up to 5.49\% better modularity scores while requiring less computational time compared to classical optimization approaches. This work demonstrates the potential of hybrid quantum-inspired solutions for advancing community detection in large-scale graph data.

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Canonical link: https://arxiv.org/abs/2411.14696