The Overlap Gap Property: Separating Quantum and Quantum-Inspired Approximate Optimization Algorithms

arXiv:2609.35131 · quant-ph · Submitted 2026-09-28 · Read on arXiv

quant-ph

Submitted: 2026-09-28

Updated: 2026-09-28

Terminology

• Overlap Gap Property — 8× in this paper
• Fidelity — 7× in this paper · explained in 2 episodes
• Quantum Approximate Optimization Algorithm — 7× in this paper
• Approximate Message Passing — 5× in this paper
• Clustering — 4× in this paper · explained in 2 episodes
• Hypergraph — 3× in this paper · explained in 2 episodes
• Approximation Ratio (AR) — 1× in this paper · explained in 1 episode
• Benchmark — 1× in this paper · explained in 2 episodes
• Combinatorial Optimization — 1× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• DLR Quantum Computing Initiative — 1× in this paper
• Hamming Distance — 1× in this paper · explained in 2 episodes
• MaxCut and Maximum Independent Set — 1× in this paper
• Objective Function — 1× in this paper · explained in 2 episodes
• Quantum Circuits — 1× in this paper · explained in 2 episodes

Sources

• The Quantum Approximate Optimization Algorithm Needs to See the Whole Graph: A Typical Case
• A Quantum Approximate Optimization Algorithm
• Quantum speedups in solving near-symmetric optimization problems by low-depth QAOA
• A Concise Tutorial on Approximate Message Passing
• Local algorithms and the failure of log-depth quantum advantage on sparse random CSPs

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