Effective-Hamiltonian Quantum Solvers for Differential Equations: Alternative Constructions and Function Encodings

arXiv:2609.26330 · quant-ph · Submitted 2026-09-22 · Read on arXiv

quant-ph

Submitted: 2026-09-22

Updated: 2026-09-22

Terminology

• Effective Hamiltonian — 19× in this paper · explained in 2 episodes
• Degeneracy — 13× in this paper · explained in 3 episodes
• Chebyshev Polynomials — 4× in this paper · explained in 2 episodes
• Spectral Gap — 4× in this paper · explained in 5 episodes
• Accuracy — 3× in this paper · explained in 1 episode
• Latent Space — 3× in this paper · explained in 7 episodes
• Benchmark — 1× in this paper · explained in 2 episodes
• Convergence Guarantees — 1× in this paper · explained in 3 episodes

Sources

• Physics-Informed Quantum Machine Learning: Solving nonlinear differential equations in latent spaces without costly grid evaluations
• Quantum algorithm for solving nonlinear differential equations based on physics-informed effective Hamiltonians

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