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

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

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

Related papers

• Reconquering Bell sampling on qudits: stabilizer learning and testing, quantum pseudorandomness bounds, and more
• Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
• Polynomial-time classical and quantum simulation of quantum impurity models
• Theory of quantum-enhanced interferometry with general Markovian light sources
• A convergent hierarchy of spectral gap certificates for qubit Hamiltonians
• Universal Bound and Phase Transition in Many-Body Fermionic Non-Gaussianity