Exact Spin Elimination for Quadratic and k-Local Ising Optimization

arXiv:2505.07163 · quant-ph, cs.DM, cs.DS, cs.ET, cs.LG · Submitted 2025-05-12 · Read on arXiv

quant-ph, cs.DM, cs.DS, cs.ET, cs.LG

Submitted: 2025-05-12

Updated: 2026-09-13

Terminology

• alpha — 9× in this paper · explained in 1 episode
• Combinatorial Optimization — 8× in this paper · explained in 2 episodes
• Benchmark — 6× in this paper · explained in 2 episodes
• Embeddings — 4× in this paper · explained in 2 episodes
• Associative Memory — 3× in this paper · explained in 2 episodes
• Degeneracy — 3× in this paper · explained in 3 episodes
• All-to-All Connectivity — 2× in this paper · explained in 1 episode
• Analog Iterative Machine — 2× in this paper
• Fidelity — 2× in this paper · explained in 2 episodes
• Pruning — 2× in this paper · explained in 4 episodes
• Quantum Approximate Optimization Algorithm — 2× in this paper
• Spatial Photonic Ising Machine — 2× in this paper
• Accuracy — 1× in this paper · explained in 1 episode
• Alternation — 1× in this paper · explained in 1 episode
• Benchmarking — 1× in this paper · explained in 3 episodes
• Computational overhead — 1× in this paper · explained in 2 episodes
• Effective Hamiltonian — 1× in this paper · explained in 2 episodes
• Lyapunov function — 1× in this paper · explained in 2 episodes
• Quantum Physics — 1× in this paper · explained in 10 episodes
• Quantum-Informed Recursive Optimization — 1× in this paper
• Simulated Bifurcation Machine — 1× in this paper

Sources

• Analog Iterative Machine (AIM): using light to solve quadratic optimization problems with mixed variables
• Fully Programmable Spatial Photonic Ising Machine by Focal Plane Division
• A 50-spin surface acoustic wave Ising machine
• Polynomial unconstrained binary optimisation inspired by optical simulation
• Accuracy and Performance Evaluation of Quantum, Classical and Hybrid Solvers for the Max-Cut Problem
• Vector Ising Spin Annealer for Minimizing Ising Hamiltonians
• Hopfield Networks is All You Need
• A Quantum Approximate Optimization Algorithm
• High-fidelity adiabatic quantum computation using the intrinsic Hamiltonian of a spin system: Application to the experimental factorization of 291311
• Factoring integers with sublinear resources on a superconducting quantum processor

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