Experimental determination of a multiqubit ground state via a cluster mean-field algorithm
A quantum eigensolver is designed under a multilayer cluster mean-field (CMF) algorithm by partitioning a quantum system into spatially-separated clusters. For each cluster, a reduced Hamiltonian is obtained after a partial average over its environment cluster. The products of eigenstates from diffe...
| Main Authors: | , , , , , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2022-12-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.L042043 |
| _version_ | 1797210572935135232 |
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| author | Ze Zhan Ying Fei Chongxin Run Zhiwen Zong Liang Xiang Wenyan Jin Zhilong Jia Peng Duan Guoping Guo Jianlan Wu Yi Yin |
| author_facet | Ze Zhan Ying Fei Chongxin Run Zhiwen Zong Liang Xiang Wenyan Jin Zhilong Jia Peng Duan Guoping Guo Jianlan Wu Yi Yin |
| author_sort | Ze Zhan |
| collection | DOAJ |
| description | A quantum eigensolver is designed under a multilayer cluster mean-field (CMF) algorithm by partitioning a quantum system into spatially-separated clusters. For each cluster, a reduced Hamiltonian is obtained after a partial average over its environment cluster. The products of eigenstates from different clusters construct a compressed Hilbert space, in which an effective Hamiltonian is diagonalized to determine certain eigenstates of the whole Hamiltonian. The CMF method is numerically verified in multispin chains and experimentally studied in a fully-connected three-spin network, both yielding an excellent prediction of their ground states. |
| first_indexed | 2024-04-24T10:12:44Z |
| format | Article |
| id | doaj.art-5567da2d78ed487e8aff77c8fa0ef545 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:12:44Z |
| publishDate | 2022-12-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-5567da2d78ed487e8aff77c8fa0ef5452024-04-12T17:26:53ZengAmerican Physical SocietyPhysical Review Research2643-15642022-12-0144L04204310.1103/PhysRevResearch.4.L042043Experimental determination of a multiqubit ground state via a cluster mean-field algorithmZe ZhanYing FeiChongxin RunZhiwen ZongLiang XiangWenyan JinZhilong JiaPeng DuanGuoping GuoJianlan WuYi YinA quantum eigensolver is designed under a multilayer cluster mean-field (CMF) algorithm by partitioning a quantum system into spatially-separated clusters. For each cluster, a reduced Hamiltonian is obtained after a partial average over its environment cluster. The products of eigenstates from different clusters construct a compressed Hilbert space, in which an effective Hamiltonian is diagonalized to determine certain eigenstates of the whole Hamiltonian. The CMF method is numerically verified in multispin chains and experimentally studied in a fully-connected three-spin network, both yielding an excellent prediction of their ground states.http://doi.org/10.1103/PhysRevResearch.4.L042043 |
| spellingShingle | Ze Zhan Ying Fei Chongxin Run Zhiwen Zong Liang Xiang Wenyan Jin Zhilong Jia Peng Duan Guoping Guo Jianlan Wu Yi Yin Experimental determination of a multiqubit ground state via a cluster mean-field algorithm Physical Review Research |
| title | Experimental determination of a multiqubit ground state via a cluster mean-field algorithm |
| title_full | Experimental determination of a multiqubit ground state via a cluster mean-field algorithm |
| title_fullStr | Experimental determination of a multiqubit ground state via a cluster mean-field algorithm |
| title_full_unstemmed | Experimental determination of a multiqubit ground state via a cluster mean-field algorithm |
| title_short | Experimental determination of a multiqubit ground state via a cluster mean-field algorithm |
| title_sort | experimental determination of a multiqubit ground state via a cluster mean field algorithm |
| url | http://doi.org/10.1103/PhysRevResearch.4.L042043 |
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