Noise-Aware Quantum Amplitude Estimation
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 compute...
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| Format: | Article |
| Language: | English |
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IEEE
2024-01-01
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| Series: | IEEE Transactions on Quantum Engineering |
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| Online Access: | https://ieeexplore.ieee.org/document/10711252/ |
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| _version_ | 1832586867053166592 |
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| author | Steven Herbert Ifan Williams Roland Guichard Darren Ng |
| author_facet | Steven Herbert Ifan Williams Roland Guichard Darren Ng |
| author_sort | Steven Herbert |
| collection | DOAJ |
| description | 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 | Article |
| id | doaj-art-785e41b078da4656a405f5df4611e0fb |
| institution | Kabale University |
| issn | 2689-1808 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Transactions on Quantum Engineering |
| spelling | doaj-art-785e41b078da4656a405f5df4611e0fb2025-01-25T00:03:42ZengIEEEIEEE Transactions on Quantum Engineering2689-18082024-01-01512310.1109/TQE.2024.347692910711252Noise-Aware Quantum Amplitude EstimationSteven Herbert0Ifan Williams1https://orcid.org/0009-0000-3033-5619Roland Guichard2Darren Ng3https://orcid.org/0009-0008-0933-3086Quantinuum, Cambridge, U.K.Quantinuum, Cambridge, U.K.Quantinuum, Cambridge, U.K.Quantinuum, Cambridge, U.K.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.https://ieeexplore.ieee.org/document/10711252/Noise characterizationnoisy intermediate-scale quantumquantum algorithmsquantum amplitude estimation (QAE)quantum computing (QC)quantum error mitigation |
| spellingShingle | Steven Herbert Ifan Williams Roland Guichard Darren Ng Noise-Aware Quantum Amplitude Estimation IEEE Transactions on Quantum Engineering Noise characterization noisy intermediate-scale quantum quantum algorithms quantum amplitude estimation (QAE) quantum computing (QC) quantum error mitigation |
| title | Noise-Aware Quantum Amplitude Estimation |
| title_full | Noise-Aware Quantum Amplitude Estimation |
| title_fullStr | Noise-Aware Quantum Amplitude Estimation |
| title_full_unstemmed | Noise-Aware Quantum Amplitude Estimation |
| title_short | Noise-Aware Quantum Amplitude Estimation |
| title_sort | noise aware quantum amplitude estimation |
| topic | Noise characterization noisy intermediate-scale quantum quantum algorithms quantum amplitude estimation (QAE) quantum computing (QC) quantum error mitigation |
| url | https://ieeexplore.ieee.org/document/10711252/ |
| work_keys_str_mv | AT stevenherbert noiseawarequantumamplitudeestimation AT ifanwilliams noiseawarequantumamplitudeestimation AT rolandguichard noiseawarequantumamplitudeestimation AT darrenng noiseawarequantumamplitudeestimation |