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arxiv:2607.00040
Quantum Amplitude Estimation in Gradient-Based Stochastic Optimization
Published on Jun 29
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Abstract
The Quantum Amplitude Estimation algorithm provides quadratic speedup over Monte Carlo methods in stochastic optimization through Quantum Phase Estimation's concentration guarantee.
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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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