Near-Optimal Ground-State Preparation without Controlled Hamiltonian Evolutions

arXiv:2610.00520 · quant-ph · Submitted 2026-09-30 · Read on arXiv

quant-ph

Submitted: 2026-09-30

Updated: 2026-09-30

Comments: The authors acknowledge the use of ChatGPT 5.6 and 6 for help with writing and reviewing the manuscript, including identifying technical errors and inconsistencies in earlier versions

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Spectral Descent — 36× in this paper
• Ground-State Preparation — 18× in this paper
• Coherent Spectral Descent — 10× in this paper
• Spectral Gap — 7× in this paper · explained in 5 episodes
• Fidelity — 6× in this paper · explained in 2 episodes
• Ground-State Energy Estimation — 6× in this paper
• Ground-State Property Estimation — 6× in this paper
• Trace — 6× in this paper · explained in 2 episodes
• Query Complexity — 5× in this paper · explained in 2 episodes
• Block Encoding — 3× in this paper · explained in 4 episodes
• Accuracy — 2× in this paper · explained in 1 episode
• Ab Initio — 1× in this paper · explained in 1 episode
• Approximation Bound — 1× in this paper · explained in 1 episode
• Core — 1× in this paper · explained in 2 episodes
• Hubbard Model — 1× in this paper · explained in 3 episodes
• Quantum Circuits — 1× in this paper · explained in 2 episodes
• Trace Distance — 1× in this paper · explained in 3 episodes

Sources

• Quantum Phase Estimation without Controlled Unitaries

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