Beyond Feasibility: Finite-Depth Accessibility in Constrained QAOA

arXiv:2610.00736 · quant-ph, cs.ET · Submitted 2026-09-30 · Read on arXiv

quant-ph, cs.ET

Submitted: 2026-09-30

Updated: 2026-09-30

Comments: 26 pages, 5 figures, 6 tables

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

Terminology

• Benchmark — 13× in this paper · explained in 2 episodes
• Robustness — 11× in this paper · explained in 5 episodes
• Combinatorial Optimization — 4× in this paper · explained in 2 episodes
• Generalization — 4× in this paper · explained in 13 episodes
• Calibration — 3× in this paper · explained in 7 episodes
• All-to-All Connectivity — 2× in this paper · explained in 1 episode
• Fidelity — 2× in this paper · explained in 2 episodes
• Provenance — 2× in this paper · explained in 3 episodes
• Quantum Approximate Optimization Algorithm — 2× in this paper
• Abstraction — 1× in this paper · explained in 1 episode
• Adaptive Selection — 1× in this paper · explained in 1 episode
• Additive Decomposition — 1× in this paper · explained in 1 episode
• Alignment — 1× in this paper · explained in 1 episode
• Clustering — 1× in this paper · explained in 2 episodes
• Conditional Value-at-Risk — 1× in this paper
• Consistency — 1× in this paper · explained in 3 episodes
• Quantum Circuits — 1× in this paper · explained in 2 episodes
• Steering — 1× in this paper · explained in 2 episodes

Sources

• A Quantum Approximate Optimization Algorithm
• Constrained mixers for the quantum approximate optimization algorithm
• Finite-Depth, Finite-Shot Guarantees for Constrained Quantum Optimization via Fej'er Filtering
• Separating Geometry From Interference in Constrained Quantum Optimization
• Constraint-Preserving QAOA for Personnel Rostering: Coverage-Preserving and Guarded-XY Mixer Constructions
• The Expressive Power of Constrained QAOA: What You Might Have MISsed
• Portfolio rebalancing experiments using the Quantum Alternating Operator Ansatz
• Constrained Portfolio Optimization via Quantum Approximate Optimization Algorithm (QAOA) with XY-Mixers and Trotterized Initialization: A Hybrid Approach for Direct Indexing
• Performance Comparison of QAOA Mixers for Ternary Portfolio Optimization
• Constrained Counterdiabatic Quantum Approximate Optimization Algorithm for Portfolio Optimization
• Improving Variational Quantum Optimization using CVaR
• Warm-starting quantum optimization

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