Excited States from ADAPT-VQE convergence path in Many-Body Problems: application to nuclear pairing problem and $H_4$ molecule dissociation
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911026562203648 |
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| author | Zhang, Jing Lacroix, Denis |
| author_facet | Zhang, Jing Lacroix, Denis |
| contents | A quantum computing algorithm is proposed to obtain low-lying excited states in many-body interacting systems. The approximate eigenstates are obtained by using a quantum space diagonalization method in a subspace of states selected from the convergence path of the ADAPT-VQE (adaptive derivative-assembled pseudo-Trotter Ansatz variational quantum eigensolver) towards the ground state of the many-body problem. This method is shown to be accurate with only a small overhead in terms of quantum resources required to get the ground state. We also show that the quantum algorithm might be used to facilitate the convergence of the ADAPT-VQE method itself. Successful applications of the technique are made to like-particle pairing as well as neutron-proton pairing. Finally, the $H_4$ molecule's dissociation also illustrates the technique, demonstrating its accuracy and versatility. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_22275 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Excited States from ADAPT-VQE convergence path in Many-Body Problems: application to nuclear pairing problem and $H_4$ molecule dissociation Zhang, Jing Lacroix, Denis Quantum Physics Nuclear Theory A quantum computing algorithm is proposed to obtain low-lying excited states in many-body interacting systems. The approximate eigenstates are obtained by using a quantum space diagonalization method in a subspace of states selected from the convergence path of the ADAPT-VQE (adaptive derivative-assembled pseudo-Trotter Ansatz variational quantum eigensolver) towards the ground state of the many-body problem. This method is shown to be accurate with only a small overhead in terms of quantum resources required to get the ground state. We also show that the quantum algorithm might be used to facilitate the convergence of the ADAPT-VQE method itself. Successful applications of the technique are made to like-particle pairing as well as neutron-proton pairing. Finally, the $H_4$ molecule's dissociation also illustrates the technique, demonstrating its accuracy and versatility. |
| title | Excited States from ADAPT-VQE convergence path in Many-Body Problems: application to nuclear pairing problem and $H_4$ molecule dissociation |
| topic | Quantum Physics Nuclear Theory |
| url | https://arxiv.org/abs/2506.22275 |