In this paper we derive from simple and reasonable assumptions a Gaussian noise model for NISQ Quantum Amplitude Estimation (QAE). We provide results from QAE run on various IBM superconducting quantum computers and Honeywells H1 trapped-ion quantum computer to show that the proposed model is a good fit for real-world experimental data. We then give an example of how to embed this noise model into any NISQ QAE algorithm, such that the amplitude estimation is noise-aware.
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