Exploiting the Variational Quantum Eigensolver for Determining Ground State Energy of Protocatechuic Acid
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arXiv
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909375906447360 |
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| author | de Jesus, Gleydson Fernandes Teixeira, Erico Souza Galvão, Lucas Queiroz da Silva, Maria Heloísa Fraga Neto, Mauro Queiroz Nooblath Fernandez, Bruno Oziel Cruz, Clebson dos Santos |
| author_facet | de Jesus, Gleydson Fernandes Teixeira, Erico Souza Galvão, Lucas Queiroz da Silva, Maria Heloísa Fraga Neto, Mauro Queiroz Nooblath Fernandez, Bruno Oziel Cruz, Clebson dos Santos |
| contents | The Variational Quantum Eigensolver (VQE) is a promising hybrid algorithm, utilizing both quantum and classical computers to obtain the ground state energy of molecules. In this context, this study applies VQE to investigate the ground state of protocatechuic acid, analyzing its performance with various Ansätze and active spaces. Subsequently, all VQE results were compared to those obtained with the Hartree-Fock (HF) method. The results demonstrate that Ansätze, like unitary coupled-cluster singles and doubles (UCCSD) and variations of Hardware-Efficient, generally achieve accuracy close to that of HF. Furthermore, the increase in active space has led to the models becoming more difficult to converge to values with a greater distance from the correct energy. In summary, the findings of this study reinforce the use of VQE as a powerful tool for analyzing molecular ground state energies. Finally, the results underscore the critical importance of Ansatz selection and active space size in VQE performance, providing valuable insights into its potential and limitations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_00990 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exploiting the Variational Quantum Eigensolver for Determining Ground State Energy of Protocatechuic Acid de Jesus, Gleydson Fernandes Teixeira, Erico Souza Galvão, Lucas Queiroz da Silva, Maria Heloísa Fraga Neto, Mauro Queiroz Nooblath Fernandez, Bruno Oziel Cruz, Clebson dos Santos Chemical Physics Materials Science Quantum Physics The Variational Quantum Eigensolver (VQE) is a promising hybrid algorithm, utilizing both quantum and classical computers to obtain the ground state energy of molecules. In this context, this study applies VQE to investigate the ground state of protocatechuic acid, analyzing its performance with various Ansätze and active spaces. Subsequently, all VQE results were compared to those obtained with the Hartree-Fock (HF) method. The results demonstrate that Ansätze, like unitary coupled-cluster singles and doubles (UCCSD) and variations of Hardware-Efficient, generally achieve accuracy close to that of HF. Furthermore, the increase in active space has led to the models becoming more difficult to converge to values with a greater distance from the correct energy. In summary, the findings of this study reinforce the use of VQE as a powerful tool for analyzing molecular ground state energies. Finally, the results underscore the critical importance of Ansatz selection and active space size in VQE performance, providing valuable insights into its potential and limitations. |
| title | Exploiting the Variational Quantum Eigensolver for Determining Ground State Energy of Protocatechuic Acid |
| topic | Chemical Physics Materials Science Quantum Physics |
| url | https://arxiv.org/abs/2411.00990 |