Quantum Amplitude Estimation in Gradient-Based Stochastic Optimization
Quantum Physics
2026-06-29 v1
Abstract
In this paper we prove, both mathematically and through a simulation, how the Quantum Amplitude Estimation algorithm can obtain quadratic improvements with respect to the Monte Carlo method in gradient-based stochastic optimization, highlighting the central role of the Quantum Phase Estimation concentration guarantee in achieving the predicted advantage.
Cite
@article{arxiv.2607.00040,
title = {Quantum Amplitude Estimation in Gradient-Based Stochastic Optimization},
author = {Raffaele Sarno},
journal= {arXiv preprint arXiv:2607.00040},
year = {2026}
}