Real quantum amplitude estimation
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
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.
© The Author(s) 2023
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