Published February 3, 2023 | Version v1

Real quantum amplitude estimation

  • 1. Universidade da Coruña
  • 2. CESGA
  • 3. Universidad de Oviedo

Description

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.

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Additional details

Funding

European Commission
NEASQC - NExt ApplicationS of Quantum Computing 951821

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