Hamiltonian Learning and Certification via Eigenphase Engineering

arXiv:2609.26596 · quant-ph · Submitted 2026-09-22 · Read on arXiv

quant-ph

Submitted: 2026-09-22

Updated: 2026-09-22

Terminology

• Accuracy — 25× in this paper · explained in 1 episode
• Hamiltonian Learning — 22× in this paper · explained in 2 episodes
• Verification — 16× in this paper · explained in 2 episodes
• Sparsity — 13× in this paper · explained in 4 episodes
• Ancillary Qubits — 7× in this paper · explained in 1 episode
• Verifier — 5× in this paper · explained in 2 episodes
• Hamming Distance — 4× in this paper · explained in 2 episodes
• Heisenberg Scaling — 2× in this paper · explained in 4 episodes
• Spectral Gap — 2× in this paper · explained in 5 episodes
• Agnostic Learning — 1× in this paper · explained in 1 episode
• Calibration — 1× in this paper · explained in 7 episodes
• Decode — 1× in this paper · explained in 2 episodes
• Decoupling — 1× in this paper · explained in 2 episodes
• Effective Hamiltonian — 1× in this paper · explained in 2 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Foundations of Computer Science — 1× in this paper
• Gibbs State — 1× in this paper · explained in 2 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Korea Advanced Institute of Science and Technology — 1× in this paper

Sources

• Optimal Ansatz-free Hamiltonian Learning In Situ
• Nearly optimal algorithms to learn sparse quantum Hamiltonians in physically motivated distances
• Heisenberg-limited Hamiltonian learning without short-time control
• Certifying and learning local quantum Hamiltonians
• Autonomous Hamiltonian certification and changepoint detection
• Sparse recovery for spherical harmonic expansions
• Learning Hamiltonians in the Heisenberg limit with static single-qubit fields

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