  In this paper we derive from simple and reasonable assumptions a Gaussian
noise model for quantum amplitude estimation. We provide results from quantum
amplitude estimation run on various IBM superconducting quantum computers and
Quantinuum's H1 trapped-ion quantum computer to show that the proposed model is
a good fit for real-world experimental data. We also show that the proposed
Gaussian noise model can be easily composed with other noise models in order to
capture effects that are not well described by Gaussian noise. We then give a
generalised procedure for how to embed this noise model into any
quantum-phase-estimation-free QAE algorithm, such that the amplitude estimation
is ``noise aware''.
