Parallel splitting method for large-scale quadratic programs

arXiv:2503.16977 · quant-ph, math.OC · Submitted 2025-03-21 · Read on arXiv

quant-ph, math.OC

Submitted: 2025-03-21

Updated: 2026-09-21

Comments: 13 pages, 11 Figures

Journal ref: Journal of Heuristics 32, 32 (2026)

DOI: 10.1007/s10732-026-09606-4

Code: https://github.com/0816keisuke/max-cut-problem-benchmark

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Benchmark — 8× in this paper · explained in 2 episodes
• Clustering — 7× in this paper · explained in 2 episodes
• Combinatorial Optimization — 6× in this paper · explained in 2 episodes
• Spectral clustering — 5× in this paper · explained in 2 episodes
• Antenna Placement Problem — 3× in this paper
• Core — 2× in this paper · explained in 2 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Adam — 1× in this paper · explained in 2 episodes
• Adaptability — 1× in this paper · explained in 1 episode
• Consistency — 1× in this paper · explained in 3 episodes

Sources

• Solving Quadratic Unconstrained Binary Optimization with divide-and-conquer and quantum algorithms
• Decomposition Pipeline for Large-Scale Portfolio Optimization with Applications to Near-Term Quantum Computing
• A Quantum Approximate Optimization Algorithm
• Clustering-Based Sub-QUBO Extraction for Hybrid QUBO Solvers
• Divide and Conquer for Combinatorial Optimization and Distributed Quantum Computation
• Noise-Aware Distributed Quantum Approximate Optimization Algorithm on Near-term Quantum Hardware
• Evaluating the Practicality of Quantum Optimization Algorithms for Prototypical Industrial Applications

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