Noise-Aware Quantum Amplitude Estimation

• Published in: IEEE transactions on quantum engineering 2024, Vol.5, p.1-23
• Main Authors: Herbert, Steven, Williams, Ifan, Guichard, Roland, Ng, Darren
• Format: Article
• Language: English
• Subjects: Algorithms; Amplitude estimation; Amplitudes; Computational modeling; Estimation; Gaussian noise; Integrated circuit modeling; Noise; Noise characterization; Noise measurement; noisy intermediate-scale quantum; Prevention and mitigation; quantum algorithms; quantum amplitude estimation (QAE); Quantum computers; Quantum computing; quantum computing (QC); quantum error mitigation; Qubit; Random noise; Superconductivity
• ISSN: 2689-1808; 2689-1808
• DOI: 10.1109/TQE.2024.3476929

In this article, based on some simple and reasonable assumptions, we derive a Gaussian noise model for quantum amplitude estimation. We provide results from quantum amplitude estimation run on various IBM superconducting quantum computers and on 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 give a generalized procedure for how to embed this noise model into any quantum-phase-estimation-free quantum amplitude estimation algorithm, such that the amplitude estimation is "noise aware." We then provide experimental results from running an implementation of noise-aware quantum amplitude estimation using data from an IBM superconducting quantum computer, demonstrating that the addition of "noise awareness" serves as an effective means of quantum error mitigation.