Noise-Aware Quantum Amplitude Estimation

Fuente: arXiv
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Autori principali: Herbert, Steven, Williams, Ifan, Guichard, Roland, Ng, Darren
Natura: Preprint
Pubblicazione: 2021
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author Herbert, Steven
Williams, Ifan
Guichard, Roland
Ng, Darren
author_facet Herbert, Steven
Williams, Ifan
Guichard, Roland
Ng, Darren
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2109_04840
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Noise-Aware Quantum Amplitude Estimation
Herbert, Steven
Williams, Ifan
Guichard, Roland
Ng, Darren
Quantum Physics
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.
title Noise-Aware Quantum Amplitude Estimation
topic Quantum Physics
url https://arxiv.org/abs/2109.04840