Many-Body Excited States with a Contracted Quantum Eigensolver
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866910591794282496 |
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| author | Smart, Scott E. Welakuh, Davis M. Narang, Prineha |
| author_facet | Smart, Scott E. Welakuh, Davis M. Narang, Prineha |
| contents | Calculating ground and excited states is an exciting prospect for near-term quantum computing applications, and accurate and efficient algorithms are needed to assess viable directions. We develop an excited state approach based on the contracted quantum eigensolver (ES-CQE), which iteratively attempts to find a solution to a contraction of the Schr{ö}dinger equation projected onto a subspace, and does not require a priori information on the system. We focus on the anti-Hermitian portion of the equation, leading to a two-body unitary ansatz. We investigate the role of symmetries, initial states, constraints, and overall performance within the context of the model rectangular ${\rm H}_4$ system. We show the ES-CQE achieves near-exact accuracy across the majority of states, covering regions of strong and weak electron correlation, while also elucidating challenging instances for two-body unitary ansatz. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_09653 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Many-Body Excited States with a Contracted Quantum Eigensolver Smart, Scott E. Welakuh, Davis M. Narang, Prineha Quantum Physics Calculating ground and excited states is an exciting prospect for near-term quantum computing applications, and accurate and efficient algorithms are needed to assess viable directions. We develop an excited state approach based on the contracted quantum eigensolver (ES-CQE), which iteratively attempts to find a solution to a contraction of the Schr{ö}dinger equation projected onto a subspace, and does not require a priori information on the system. We focus on the anti-Hermitian portion of the equation, leading to a two-body unitary ansatz. We investigate the role of symmetries, initial states, constraints, and overall performance within the context of the model rectangular ${\rm H}_4$ system. We show the ES-CQE achieves near-exact accuracy across the majority of states, covering regions of strong and weak electron correlation, while also elucidating challenging instances for two-body unitary ansatz. |
| title | Many-Body Excited States with a Contracted Quantum Eigensolver |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2305.09653 |