A Quantum Simulation Approach to Implementing Nuclear Density Functional Theory via Imaginary Time Evolution
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916497605001216 |
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| author | Li, Yang Hong Al-Khalili, Jim Stevenson, Paul |
| author_facet | Li, Yang Hong Al-Khalili, Jim Stevenson, Paul |
| contents | The quantum imaginary time evolution (QITE) algorithm is a direct implementation of the classical imaginary time evolution algorithm on quantum computer. We implement the QITE algorithm for the case of nuclear Hartree-Fock equations in a formalism equivalent to nuclear density functional theory. We demonstrate the algorithm in the case of the helium-4 nucleus with a simplified effective interaction of the Skyrme kind and demonstrate that the QITE, as implemented on simulated quantum computer, gives identical results to the classical algorithm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_15425 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Quantum Simulation Approach to Implementing Nuclear Density Functional Theory via Imaginary Time Evolution Li, Yang Hong Al-Khalili, Jim Stevenson, Paul Nuclear Theory The quantum imaginary time evolution (QITE) algorithm is a direct implementation of the classical imaginary time evolution algorithm on quantum computer. We implement the QITE algorithm for the case of nuclear Hartree-Fock equations in a formalism equivalent to nuclear density functional theory. We demonstrate the algorithm in the case of the helium-4 nucleus with a simplified effective interaction of the Skyrme kind and demonstrate that the QITE, as implemented on simulated quantum computer, gives identical results to the classical algorithm. |
| title | A Quantum Simulation Approach to Implementing Nuclear Density Functional Theory via Imaginary Time Evolution |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2308.15425 |