Adaptive variational simulation for open quantum systems
Emerging quantum hardware provides new possibilities for quantum simulation. While much of the research has focused on simulating closed quantum systems, the real-world quantum systems are mostly open. Therefore, it is essential to develop quantum algorithms that can effectively simulate open quantu...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2024-02-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2024-02-13-1252/pdf/ |
| _version_ | 1797310806318120960 |
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| author | Huo Chen Niladri Gomes Siyuan Niu Wibe Albert de Jong |
| author_facet | Huo Chen Niladri Gomes Siyuan Niu Wibe Albert de Jong |
| author_sort | Huo Chen |
| collection | DOAJ |
| description | Emerging quantum hardware provides new possibilities for quantum simulation. While much of the research has focused on simulating closed quantum systems, the real-world quantum systems are mostly open. Therefore, it is essential to develop quantum algorithms that can effectively simulate open quantum systems. Here we present an adaptive variational quantum algorithm for simulating open quantum system dynamics described by the Lindblad equation. The algorithm is designed to build resource-efficient ansatze through the dynamical addition of operators by maintaining the simulation accuracy. We validate the effectiveness of our algorithm on both noiseless simulators and IBM quantum processors and observe good quantitative and qualitative agreement with the exact solution. We also investigate the scaling of the required resources with system size and accuracy and find polynomial behavior. Our results demonstrate that near-future quantum processors are capable of simulating open quantum systems. |
| first_indexed | 2024-03-08T01:49:18Z |
| format | Article |
| id | doaj.art-c647eca9b954459d8325ec067a43335e |
| institution | Directory Open Access Journal |
| issn | 2521-327X |
| language | English |
| last_indexed | 2024-03-08T01:49:18Z |
| publishDate | 2024-02-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj.art-c647eca9b954459d8325ec067a43335e2024-02-14T11:10:58ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2024-02-018125210.22331/q-2024-02-13-125210.22331/q-2024-02-13-1252Adaptive variational simulation for open quantum systemsHuo ChenNiladri GomesSiyuan NiuWibe Albert de JongEmerging quantum hardware provides new possibilities for quantum simulation. While much of the research has focused on simulating closed quantum systems, the real-world quantum systems are mostly open. Therefore, it is essential to develop quantum algorithms that can effectively simulate open quantum systems. Here we present an adaptive variational quantum algorithm for simulating open quantum system dynamics described by the Lindblad equation. The algorithm is designed to build resource-efficient ansatze through the dynamical addition of operators by maintaining the simulation accuracy. We validate the effectiveness of our algorithm on both noiseless simulators and IBM quantum processors and observe good quantitative and qualitative agreement with the exact solution. We also investigate the scaling of the required resources with system size and accuracy and find polynomial behavior. Our results demonstrate that near-future quantum processors are capable of simulating open quantum systems.https://quantum-journal.org/papers/q-2024-02-13-1252/pdf/ |
| spellingShingle | Huo Chen Niladri Gomes Siyuan Niu Wibe Albert de Jong Adaptive variational simulation for open quantum systems Quantum |
| title | Adaptive variational simulation for open quantum systems |
| title_full | Adaptive variational simulation for open quantum systems |
| title_fullStr | Adaptive variational simulation for open quantum systems |
| title_full_unstemmed | Adaptive variational simulation for open quantum systems |
| title_short | Adaptive variational simulation for open quantum systems |
| title_sort | adaptive variational simulation for open quantum systems |
| url | https://quantum-journal.org/papers/q-2024-02-13-1252/pdf/ |
| work_keys_str_mv | AT huochen adaptivevariationalsimulationforopenquantumsystems AT niladrigomes adaptivevariationalsimulationforopenquantumsystems AT siyuanniu adaptivevariationalsimulationforopenquantumsystems AT wibealbertdejong adaptivevariationalsimulationforopenquantumsystems |