Depth analysis of the Quantum Approximate Optimization Algorithm with a Grover mixer

arXiv:2609.17835 · quant-ph, math-ph, math.MP · Submitted 2026-09-15 · Read on arXiv

quant-ph, math-ph, math.MP

Submitted: 2026-09-15

Updated: 2026-09-15

Code: https://github.com/ax-ml/jax

Terminology

• Objective Function — 9× in this paper · explained in 2 episodes
• Quantum Approximate Optimization Algorithm — 6× in this paper
• Loss Function — 4× in this paper · explained in 2 episodes
• Accuracy — 2× in this paper · explained in 1 episode
• Alignment — 2× in this paper · explained in 1 episode
• Combinatorial Optimization — 2× in this paper · explained in 2 episodes
• Fidelity — 2× in this paper · explained in 2 episodes
• Hilbert Space — 2× in this paper · explained in 2 episodes
• International Conference on Quantum Computing and Engineering — 2× in this paper
• Quantum Circuits — 2× in this paper · explained in 2 episodes
• Clustering — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes

Sources

• A Quantum Approximate Optimization Algorithm
• Grover Mixers for QAOA: Shifting Complexity from Mixer Design to State Preparation
• Provable avoidance of barren plateaus for the Quantum Approximate Optimization Algorithm with Grover mixers
• Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models
• Threshold-Based Quantum Optimization

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