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Scalable Community Detection Using Quantum Hamiltonian Descent and QUBO Formulation

Quantum Physics 2025-11-18 v3 Artificial Intelligence Machine Learning

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.

Keywords

Cite

@article{arxiv.2411.14696,
  title  = {Scalable Community Detection Using Quantum Hamiltonian Descent and QUBO Formulation},
  author = {Jinglei Cheng and Ruilin Zhou and Yuhang Gan and Chen Qian and Junyu Liu},
  journal= {arXiv preprint arXiv:2411.14696},
  year   = {2025}
}

Comments

DAC 2025

R2 v1 2026-06-28T20:08:38.628Z