Exact Ansatz of Fermion-Boson Systems for a Quantum Device
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arXiv
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| Format: | Preprint |
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2024
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| author | Warren, Samuel Wang, Yuchen Benavides-Riveros, Carlos L. Mazziotti, David A. |
| author_facet | Warren, Samuel Wang, Yuchen Benavides-Riveros, Carlos L. Mazziotti, David A. |
| contents | We present an exact ansatz for the eigenstate problem of mixed fermion-boson systems that can be implemented on quantum devices. Based on a generalization of the electronic contracted Schrödinger equation (CSE), our approach guides a trial wave function to the ground state of any arbitrary mixed Hamiltonian by directly measuring residuals of the mixed CSE on a quantum device. Unlike density-functional and coupled-cluster theories applied to electron-phonon or electron-photon systems, the accuracy of our approach is not limited by the unknown exchange-correlation functional or the uncontrolled form of the exponential ansatz. To test the performance of the method, we study the Tavis-Cummings model, commonly used in polaritonic quantum chemistry. Our results demonstrate that the CSE is a powerful tool in the development of quantum algorithms for solving general fermion-boson many-body problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_12273 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exact Ansatz of Fermion-Boson Systems for a Quantum Device Warren, Samuel Wang, Yuchen Benavides-Riveros, Carlos L. Mazziotti, David A. Quantum Physics Chemical Physics Computational Physics We present an exact ansatz for the eigenstate problem of mixed fermion-boson systems that can be implemented on quantum devices. Based on a generalization of the electronic contracted Schrödinger equation (CSE), our approach guides a trial wave function to the ground state of any arbitrary mixed Hamiltonian by directly measuring residuals of the mixed CSE on a quantum device. Unlike density-functional and coupled-cluster theories applied to electron-phonon or electron-photon systems, the accuracy of our approach is not limited by the unknown exchange-correlation functional or the uncontrolled form of the exponential ansatz. To test the performance of the method, we study the Tavis-Cummings model, commonly used in polaritonic quantum chemistry. Our results demonstrate that the CSE is a powerful tool in the development of quantum algorithms for solving general fermion-boson many-body problems. |
| title | Exact Ansatz of Fermion-Boson Systems for a Quantum Device |
| topic | Quantum Physics Chemical Physics Computational Physics |
| url | https://arxiv.org/abs/2402.12273 |