Fermion determinants on a quantum computer
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909260788531200 |
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| author | Fleming, George T. Shyamsundar, Prasanth Unmuth-Yockey, Judah |
| author_facet | Fleming, George T. Shyamsundar, Prasanth Unmuth-Yockey, Judah |
| contents | We present a quantum algorithm to compute the logarithm of the determinant of the fermion matrix, assuming access to a classical lattice gauge field configuration. The algorithm uses the quantum eigenvalue transform, and quantum mean estimation, giving a query complexity that scales like $O(V\log(V))$ in the matrix dimension $V$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_13080 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fermion determinants on a quantum computer Fleming, George T. Shyamsundar, Prasanth Unmuth-Yockey, Judah High Energy Physics - Lattice Quantum Physics We present a quantum algorithm to compute the logarithm of the determinant of the fermion matrix, assuming access to a classical lattice gauge field configuration. The algorithm uses the quantum eigenvalue transform, and quantum mean estimation, giving a query complexity that scales like $O(V\log(V))$ in the matrix dimension $V$. |
| title | Fermion determinants on a quantum computer |
| topic | High Energy Physics - Lattice Quantum Physics |
| url | https://arxiv.org/abs/2407.13080 |