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Real quantum amplitude estimation

03/02/2023

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.

Type :
journal_article
Authors :
Alberto Manzano, Daniele Musso & Álvaro Leitao
Location :
EPJ Quantum Technology
Date :
03/02/2023
DOI :
10.1140/epjqt/s40507-023-00159-0
Publication link :
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