A new ancilla-free amplitude estimation method uses statistical eigengap estimation to achieve near-optimal query-depth tradeoffs in low-depth regimes with provable guarantees.
Nesterov,Introductory Lectures on Convex Optimiza- tion: A Basic Course, Applied Optimization (Springer New York, NY, 2004)
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Low-depth amplitude estimation via statistical eigengap estimation
A new ancilla-free amplitude estimation method uses statistical eigengap estimation to achieve near-optimal query-depth tradeoffs in low-depth regimes with provable guarantees.