Subspace methods for the simulation of molecular response properties on a quantum computer
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arXiv
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| Format: | Preprint |
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2024
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| author | Reinholdt, Peter Kjellgren, Erik Rosendahl Fuglsbjerg, Juliane Holst Ziems, Karl Michael Coriani, Sonia Sauer, Stephan P. A. Kongsted, Jacob |
| author_facet | Reinholdt, Peter Kjellgren, Erik Rosendahl Fuglsbjerg, Juliane Holst Ziems, Karl Michael Coriani, Sonia Sauer, Stephan P. A. Kongsted, Jacob |
| contents | We explore Davidson methods for obtaining excitation energies and other linear response properties within quantum self-consistent linear response (q-sc-LR) theory. Davidson-type methods allow for obtaining only a few selected excitation energies without explicitly constructing the electronic Hessian since they only require the ability to perform Hessian-vector multiplications. We apply the Davidson method to calculate the excitation energies of hydrogen chains (up to H$_{10}$) and analyze aspects of statistical noise for computing excitation energies on quantum simulators. Additionally, we apply Davidson methods for computing linear response properties such as static polarizabilities for H$_2$, LiH, H$_2$O, OH$^-$, and NH$_3$, and show that unitary coupled cluster outperforms classical projected coupled cluster for molecular systems with strong correlation. Finally, we formulate the Davidson method for damped (complex) linear response, with application to the nitrogen K-edge X-ray absorption of ammonia, and the $C_6$ coefficients of H$_2$, LiH, H$_2$O, OH$^-$, and NH$_3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_12186 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Subspace methods for the simulation of molecular response properties on a quantum computer Reinholdt, Peter Kjellgren, Erik Rosendahl Fuglsbjerg, Juliane Holst Ziems, Karl Michael Coriani, Sonia Sauer, Stephan P. A. Kongsted, Jacob Chemical Physics Quantum Physics We explore Davidson methods for obtaining excitation energies and other linear response properties within quantum self-consistent linear response (q-sc-LR) theory. Davidson-type methods allow for obtaining only a few selected excitation energies without explicitly constructing the electronic Hessian since they only require the ability to perform Hessian-vector multiplications. We apply the Davidson method to calculate the excitation energies of hydrogen chains (up to H$_{10}$) and analyze aspects of statistical noise for computing excitation energies on quantum simulators. Additionally, we apply Davidson methods for computing linear response properties such as static polarizabilities for H$_2$, LiH, H$_2$O, OH$^-$, and NH$_3$, and show that unitary coupled cluster outperforms classical projected coupled cluster for molecular systems with strong correlation. Finally, we formulate the Davidson method for damped (complex) linear response, with application to the nitrogen K-edge X-ray absorption of ammonia, and the $C_6$ coefficients of H$_2$, LiH, H$_2$O, OH$^-$, and NH$_3$. |
| title | Subspace methods for the simulation of molecular response properties on a quantum computer |
| topic | Chemical Physics Quantum Physics |
| url | https://arxiv.org/abs/2402.12186 |