Optimal Ground-State Preparation with a Guiding State

arXiv:2609.38091 · quant-ph · Submitted 2026-09-29 · Read on arXiv

quant-ph

Submitted: 2026-09-29

Updated: 2026-10-05

Terminology

• Query Complexity — 10× in this paper · explained in 2 episodes
• Ancilla Qubits — 3× in this paper · explained in 1 episode
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Trace — 1× in this paper · explained in 2 episodes

Sources

• Elfs, transducers and quantum walks
• One-Way Ticket to Las Vegas and the Quantum Adversary
• Optimal Query Complexity for Ground-State Preparation
• Near-optimal ground state preparation
• Tight Bounds for Quantum Phase Estimation and Related Problems
• Optimal Lower Bound for Ground-State Energy Estimation with a Guiding State

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