Progressive Binarization - Pauli Correlation Encoding: a Continuation Method for Constrained Optimization

arXiv:2602.17479 · quant-ph · Submitted 2026-02-19 · Read on arXiv

quant-ph

Submitted: 2026-02-19

Updated: 2026-09-18

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

Terminology

• Pauli Correlation Encoding — 10× in this paper
• Regularization — 8× in this paper · explained in 3 episodes
• Loss Function — 6× in this paper · explained in 2 episodes
• Combinatorial Optimization — 5× in this paper · explained in 2 episodes
• Pauli Correlation Encoding (PCE) — 5× in this paper · explained in 2 episodes
• Quantum Circuits — 3× in this paper · explained in 2 episodes
• Clustering — 2× in this paper · explained in 2 episodes
• Objective Function — 2× in this paper · explained in 2 episodes
• Adiabatic Evolution — 1× in this paper · explained in 2 episodes
• Benchmarking — 1× in this paper · explained in 3 episodes
• Computational overhead — 1× in this paper · explained in 2 episodes
• Core — 1× in this paper · explained in 2 episodes
• Failure Modes — 1× in this paper · explained in 3 episodes
• Quantum Annealing (QA) — 1× in this paper · explained in 2 episodes
• Quantum Approximate Optimization Algorithm — 1× in this paper
• Trace — 1× in this paper · explained in 2 episodes

Sources

• Budget-constrained cut problems
• A Quantum Approximate Optimization Algorithm
• Large-scale portfolio optimization using Pauli Correlation Encoding
• On Graduated Optimization for Stochastic Non-Convex Problems
• BinaryConnect: Training Deep Neural Networks with binary weights during propagations
• Self-Binarizing Networks
• Quantum computing with Qiskit

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