Reducibility of native weighted graphs on Rydberg Arrays

arXiv:2605.07952 · quant-ph, cond-mat.dis-nn, cond-mat.quant-gas, physics.atom-ph · Submitted 2026-05-08 · Read on arXiv

quant-ph, cond-mat.dis-nn, cond-mat.quant-gas, physics.atom-ph

Submitted: 2026-05-08

Updated: 2026-09-25

Terminology

• Maximum Weighted Independent Set — 6× in this paper
• Combinatorial Optimization — 5× in this paper · explained in 2 episodes
• Embeddings — 4× in this paper · explained in 2 episodes
• Benchmarking — 3× in this paper · explained in 3 episodes
• Adiabatic Evolution — 2× in this paper · explained in 2 episodes
• Benchmark — 2× in this paper · explained in 2 episodes
• Fidelity — 2× in this paper · explained in 2 episodes
• Addressability — 1× in this paper · explained in 1 episode
• All-to-All Connectivity — 1× in this paper · explained in 1 episode
• Core — 1× in this paper · explained in 2 episodes
• Fine-Tuning — 1× in this paper · explained in 5 episodes
• Graph Neural Network (GNN) — 1× in this paper · explained in 3 episodes
• Interpretability — 1× in this paper · explained in 15 episodes
• QUBO Formulation — 1× in this paper · explained in 3 episodes
• Spectral Gap — 1× in this paper · explained in 5 episodes
• Steering — 1× in this paper · explained in 2 episodes
• Variational Quantum Eigensolver (VQE) — 1× in this paper · explained in 5 episodes

Sources

• Quantum Computation by Adiabatic Evolution
• A Quantum Approximate Optimization Algorithm
• A tweezer array with 6100 highly coherent atomic qubits
• Continuous operation of a coherent 3,000-qubit system
• Industry applications of neutral-atom quantum computing solving independent set problems
• Exploring the impact of graph locality for the resolution of MIS with neutral atom devices
• Quantum Optimization for Maximum Independent Set Using Rydberg Atom Arrays
• Computational complexity of the Rydberg blockade in two dimensions
• Accelerating Reductions Using Graph Neural Networks and a New Concurrent Local Search for the Maximum Weight Independent Set Problem
• Quantum optimization with globally driven neutral atom arrays
• Targeted Branching for the Maximum Independent Set Problem
• Quantum Compilation Toolkit for Rydberg Atom Arrays with Implications for Problem Hardness and Quantum Speedups
• qReduMIS: A Quantum-Informed Reduction Algorithm for the Maximum Independent Set Problem

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