Toward reliability in the NISQ era: Robust interval guarantee for quantum measurements on approximate states
Near-term quantum computation holds potential across multiple application domains. However, imperfect preparation and evolution of states due to algorithmic and experimental shortcomings, characteristic in the near-term implementation, would typically result in measurement outcomes deviating from th...
| Main Authors: | , , , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2022-09-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.033217 |
| _version_ | 1797210628571529216 |
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| author | Maurice Weber Abhinav Anand Alba Cervera-Lierta Jakob S. Kottmann Thi Ha Kyaw Bo Li Alán Aspuru-Guzik Ce Zhang Zhikuan Zhao |
| author_facet | Maurice Weber Abhinav Anand Alba Cervera-Lierta Jakob S. Kottmann Thi Ha Kyaw Bo Li Alán Aspuru-Guzik Ce Zhang Zhikuan Zhao |
| author_sort | Maurice Weber |
| collection | DOAJ |
| description | Near-term quantum computation holds potential across multiple application domains. However, imperfect preparation and evolution of states due to algorithmic and experimental shortcomings, characteristic in the near-term implementation, would typically result in measurement outcomes deviating from the ideal setting. It is thus crucial for any near-term application to quantify and bound these output errors. We address this need by deriving robustness intervals which are guaranteed to contain the output in the ideal setting. The first type of interval is based on formulating robustness bounds as semidefinite programs, and uses only the first moment and the fidelity to the ideal state. Furthermore, we consider higher statistical moments of the observable and generalize bounds for pure states based on the non-negativity of Gram matrices to mixed states, thus enabling their applicability in the NISQ era where noisy scenarios are prevalent. Finally, we demonstrate our results in the context of the variational quantum eigensolver (VQE) on noisy and noiseless simulations. |
| first_indexed | 2024-04-24T10:13:37Z |
| format | Article |
| id | doaj.art-23479b314f7441279d626aeb176cd00e |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:13:37Z |
| publishDate | 2022-09-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-23479b314f7441279d626aeb176cd00e2024-04-12T17:24:31ZengAmerican Physical SocietyPhysical Review Research2643-15642022-09-014303321710.1103/PhysRevResearch.4.033217Toward reliability in the NISQ era: Robust interval guarantee for quantum measurements on approximate statesMaurice WeberAbhinav AnandAlba Cervera-LiertaJakob S. KottmannThi Ha KyawBo LiAlán Aspuru-GuzikCe ZhangZhikuan ZhaoNear-term quantum computation holds potential across multiple application domains. However, imperfect preparation and evolution of states due to algorithmic and experimental shortcomings, characteristic in the near-term implementation, would typically result in measurement outcomes deviating from the ideal setting. It is thus crucial for any near-term application to quantify and bound these output errors. We address this need by deriving robustness intervals which are guaranteed to contain the output in the ideal setting. The first type of interval is based on formulating robustness bounds as semidefinite programs, and uses only the first moment and the fidelity to the ideal state. Furthermore, we consider higher statistical moments of the observable and generalize bounds for pure states based on the non-negativity of Gram matrices to mixed states, thus enabling their applicability in the NISQ era where noisy scenarios are prevalent. Finally, we demonstrate our results in the context of the variational quantum eigensolver (VQE) on noisy and noiseless simulations.http://doi.org/10.1103/PhysRevResearch.4.033217 |
| spellingShingle | Maurice Weber Abhinav Anand Alba Cervera-Lierta Jakob S. Kottmann Thi Ha Kyaw Bo Li Alán Aspuru-Guzik Ce Zhang Zhikuan Zhao Toward reliability in the NISQ era: Robust interval guarantee for quantum measurements on approximate states Physical Review Research |
| title | Toward reliability in the NISQ era: Robust interval guarantee for quantum measurements on approximate states |
| title_full | Toward reliability in the NISQ era: Robust interval guarantee for quantum measurements on approximate states |
| title_fullStr | Toward reliability in the NISQ era: Robust interval guarantee for quantum measurements on approximate states |
| title_full_unstemmed | Toward reliability in the NISQ era: Robust interval guarantee for quantum measurements on approximate states |
| title_short | Toward reliability in the NISQ era: Robust interval guarantee for quantum measurements on approximate states |
| title_sort | toward reliability in the nisq era robust interval guarantee for quantum measurements on approximate states |
| url | http://doi.org/10.1103/PhysRevResearch.4.033217 |
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