https://doi.org/10.1140/epjqt/s40507-023-00159-0
Research
Real quantum amplitude estimation
1
Department of Mathematics and CITIC, Universidade da Coruña, A Coruña, Spain
2
Department of Physics and Instituto de Ciencias y Tecnologías Espaciales de Asturias (ICTEA), Universidad de Oviedo, Oviedo, Spain
3
Centro de Supercomputación de Galicia (CESGA), Santiago de Compostela, Spain
a
alberto.manzano.herrero@udc.es
b
mussodaniele@uniovi.es
Received:
21
July
2022
Accepted:
19
January
2023
Published online:
3
February
2023
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.
Alberto Manzano and Daniele Musso contributed equally to this work.
© The Author(s) 2023
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