Robust phase estimation of the ground-state energy without controlled time evolution on a quantum device
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913860396515328 |
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| author | Kuji, Hiroki Shingu, Yuta Nikuni, Tetsuro Imoto, Takashi Sugisaki, Kenji Matsuzaki, Yuichiro |
| author_facet | Kuji, Hiroki Shingu, Yuta Nikuni, Tetsuro Imoto, Takashi Sugisaki, Kenji Matsuzaki, Yuichiro |
| contents | Estimating the ground-state energy of Hamiltonians in quantum systems is an important task. In this work, we demonstrate that the ground-state energy can be accurately estimated without controlled time evolution by using adiabatic state preparation (ASP) and Ramsey-type measurement. By considering the symmetry of the Hamiltonian governing the time evolution during ASP, we can prepare a superposition of the ground state and reference state whose eigenvalue is known. This enables the estimation of the ground-state energy via Ramsey-type measurement. Furthermore, our method is robust against non-adiabatic transitions, making it suitable for use with early fault-tolerant quantum computers and quantum annealing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_19590 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Robust phase estimation of the ground-state energy without controlled time evolution on a quantum device Kuji, Hiroki Shingu, Yuta Nikuni, Tetsuro Imoto, Takashi Sugisaki, Kenji Matsuzaki, Yuichiro Quantum Physics Estimating the ground-state energy of Hamiltonians in quantum systems is an important task. In this work, we demonstrate that the ground-state energy can be accurately estimated without controlled time evolution by using adiabatic state preparation (ASP) and Ramsey-type measurement. By considering the symmetry of the Hamiltonian governing the time evolution during ASP, we can prepare a superposition of the ground state and reference state whose eigenvalue is known. This enables the estimation of the ground-state energy via Ramsey-type measurement. Furthermore, our method is robust against non-adiabatic transitions, making it suitable for use with early fault-tolerant quantum computers and quantum annealing. |
| title | Robust phase estimation of the ground-state energy without controlled time evolution on a quantum device |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2412.19590 |