Subspace variational quantum simulator
Quantum simulation is one of the key applications of quantum computing, which accelerates research and development in the fields such as chemistry and material science. The recent development of noisy intermediate-scale quantum (NISQ) devices urges the exploration of applications without the necessi...
| Main Authors: | , , , , , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2023-05-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.5.023078 |
| _version_ | 1797210517290352640 |
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| author | Kentaro Heya Ken M. Nakanishi Kosuke Mitarai Zhiguang Yan Kun Zuo Yasunari Suzuki Takanori Sugiyama Shuhei Tamate Yutaka Tabuchi Keisuke Fujii Yasunobu Nakamura |
| author_facet | Kentaro Heya Ken M. Nakanishi Kosuke Mitarai Zhiguang Yan Kun Zuo Yasunari Suzuki Takanori Sugiyama Shuhei Tamate Yutaka Tabuchi Keisuke Fujii Yasunobu Nakamura |
| author_sort | Kentaro Heya |
| collection | DOAJ |
| description | Quantum simulation is one of the key applications of quantum computing, which accelerates research and development in the fields such as chemistry and material science. The recent development of noisy intermediate-scale quantum (NISQ) devices urges the exploration of applications without the necessity of quantum error correction. In this paper, we propose an efficient method to simulate quantum dynamics driven by a static Hamiltonian on NISQ devices, named subspace variational quantum simulator (SVQS). SVQS employs the subspace-search variational quantum eigensolver (SSVQE) [Phys. Rev. Res. 1, 033062 (2019)2643-156410.1103/PhysRevResearch.1.033062] to find a low-lying eigensubspace and extends it to simulate dynamics within the subspace with lower overhead compared to the existing schemes. We experimentally simulate the time-evolution operator in a low-lying eigensubspace of a hydrogen molecule. We also define the subspace process fidelity as a measure between two quantum processes in a subspace. The subspace time evolution mimicked by SVQS shows the subspace process fidelity of 0.896–0.989. |
| first_indexed | 2024-04-24T10:11:51Z |
| format | Article |
| id | doaj.art-7f06d164886d4a85910829234894d715 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:11:51Z |
| publishDate | 2023-05-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-7f06d164886d4a85910829234894d7152024-04-12T17:30:36ZengAmerican Physical SocietyPhysical Review Research2643-15642023-05-015202307810.1103/PhysRevResearch.5.023078Subspace variational quantum simulatorKentaro HeyaKen M. NakanishiKosuke MitaraiZhiguang YanKun ZuoYasunari SuzukiTakanori SugiyamaShuhei TamateYutaka TabuchiKeisuke FujiiYasunobu NakamuraQuantum simulation is one of the key applications of quantum computing, which accelerates research and development in the fields such as chemistry and material science. The recent development of noisy intermediate-scale quantum (NISQ) devices urges the exploration of applications without the necessity of quantum error correction. In this paper, we propose an efficient method to simulate quantum dynamics driven by a static Hamiltonian on NISQ devices, named subspace variational quantum simulator (SVQS). SVQS employs the subspace-search variational quantum eigensolver (SSVQE) [Phys. Rev. Res. 1, 033062 (2019)2643-156410.1103/PhysRevResearch.1.033062] to find a low-lying eigensubspace and extends it to simulate dynamics within the subspace with lower overhead compared to the existing schemes. We experimentally simulate the time-evolution operator in a low-lying eigensubspace of a hydrogen molecule. We also define the subspace process fidelity as a measure between two quantum processes in a subspace. The subspace time evolution mimicked by SVQS shows the subspace process fidelity of 0.896–0.989.http://doi.org/10.1103/PhysRevResearch.5.023078 |
| spellingShingle | Kentaro Heya Ken M. Nakanishi Kosuke Mitarai Zhiguang Yan Kun Zuo Yasunari Suzuki Takanori Sugiyama Shuhei Tamate Yutaka Tabuchi Keisuke Fujii Yasunobu Nakamura Subspace variational quantum simulator Physical Review Research |
| title | Subspace variational quantum simulator |
| title_full | Subspace variational quantum simulator |
| title_fullStr | Subspace variational quantum simulator |
| title_full_unstemmed | Subspace variational quantum simulator |
| title_short | Subspace variational quantum simulator |
| title_sort | subspace variational quantum simulator |
| url | http://doi.org/10.1103/PhysRevResearch.5.023078 |
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