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arXiv · 2607.00040

Quantum Amplitude Estimation in Gradient-Based Stochastic Optimization

Raffaele Sarno
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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.

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Raffaele Sarno. 2026-06-29. Quantum Amplitude Estimation in Gradient-Based Stochastic Optimization. https://arxiv.org/abs/2607.00040

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