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17 January 2025
 
  » arxiv » 2301.00528

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Adaptive Quantum Amplitude Estimation
Xi Lu ; Hongwei Lin ;
Date 2 Jan 2023
AbstractThe maximum likelihood amplitude estimation (MLAE) algorithm is a practical solution to the quantum amplitude estimation problem, which has a theoretically quadratic speedup over classical Monte Carlo method. However, we find that MLAE is not unbiased, which is one of the major causes of its inaccuracy. We propose an adaptive quantum amplitude estimation (AQAE) algorithm by choosing MLAE parameters adaptively to avoid critical points. We also do numerical experiments to show that our algorithm is approximately unbiased and more efficient than MLAE.
Source arXiv, 2301.00528
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