Real Quantum Amplitude Estimation
Quantum Physics
2022-05-26 v2
Abstract
We introduce the Real Quantum Amplitude Estimation (RQAE) algorithm, an extension of Quantum Amplitude Estimation (QAE) which is sensitive to the sign of the amplitude. RQAE is an iterative algorithm which offers explicit control over the amplification policy through an adjustable parameter. We provide a rigorous analysis of the RQAE performance and prove that it achieves a quadratic speedup, modulo logarithmic corrections, with respect to unamplified sampling. Besides, we corroborate the theoretical analysis with a set of numerical experiments.
Keywords
Cite
@article{arxiv.2204.13641,
title = {Real Quantum Amplitude Estimation},
author = {Alberto Manzano and Daniele Musso and Álvaro Leitao},
journal= {arXiv preprint arXiv:2204.13641},
year = {2022}
}
Comments
22 pages, 7 figures (v2: reference added, typos fixed)