Interpolation of unitaries with time-dependent Hamiltonians via Deep Learning

arXiv:2601.12619 · quant-ph · Submitted 2026-01-18 · Read on arXiv

quant-ph

Submitted: 2026-01-18

Updated: 2026-09-15

Code: https://github.com/guerra-antonio/PINN_dynamics_estim

Terminology

• Fidelity — 58× in this paper · explained in 2 episodes
• Magnus Expansion — 22× in this paper · explained in 4 episodes
• Effective Hamiltonian — 13× in this paper · explained in 2 episodes
• Loss Function — 12× in this paper · explained in 2 episodes
• Trace — 11× in this paper · explained in 2 episodes
• Accuracy — 10× in this paper · explained in 1 episode
• Trace Distance — 7× in this paper · explained in 3 episodes
• Physical Constraints — 6× in this paper · explained in 7 episodes
• Benchmark — 4× in this paper · explained in 2 episodes
• Hilbert Space — 4× in this paper · explained in 2 episodes
• Robustness — 4× in this paper · explained in 5 episodes
• Consistency — 2× in this paper · explained in 3 episodes
• Generalization — 2× in this paper · explained in 13 episodes
• Process tomography — 2× in this paper · explained in 2 episodes
• Activation Function — 1× in this paper · explained in 1 episode
• AdamW Optimizer — 1× in this paper · explained in 1 episode
• Adaptability — 1× in this paper · explained in 1 episode
• Deep Reinforcement Learning — 1× in this paper · explained in 2 episodes
• Digital Twin — 1× in this paper · explained in 5 episodes
• Hamiltonian Learning — 1× in this paper · explained in 2 episodes
• Inverse Problem — 1× in this paper · explained in 2 episodes
• Latent Representation — 1× in this paper · explained in 2 episodes
• Objective Function — 1× in this paper · explained in 2 episodes
• Physics-Informed Neural Networks (PINNs) — 1× in this paper · explained in 6 episodes
• Quantum Zeno Effect — 1× in this paper · explained in 2 episodes
• Regularization — 1× in this paper · explained in 3 episodes
• Reinforcement Learning — 1× in this paper · explained in 4 episodes
• Resource Constraints — 1× in this paper · explained in 3 episodes
• Singular Value Decomposition — 1× in this paper
• Singular Value Decomposition (SVD) — 1× in this paper · explained in 2 episodes
• Unitary Dynamics — 1× in this paper · explained in 2 episodes

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