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| Format: | Preprint |
| Publié: |
2024
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2401.17182 |
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| _version_ | 1866911767878172672 |
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| author | Phillips, Xinbo Li Christopher |
| author_facet | Phillips, Xinbo Li Christopher |
| contents | We reiterate the contribution made by Harrow, Hassidim, and Llyod to the quantum matrix equation solver with the emphasis on the algorithm description and the error analysis derivation details. Moreover, the behavior of the amplitudes of the phase register on the completion of the Quantum Phase Estimation is studied. This study is beneficial for the comprehension of the choice of the phase register size and its interrelation with the Hamiltonian simulation duration in the algorithm setup phase. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_17182 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Detailed Error Analysis of the HHL Algorithm Phillips, Xinbo Li Christopher Quantum Physics Numerical Analysis We reiterate the contribution made by Harrow, Hassidim, and Llyod to the quantum matrix equation solver with the emphasis on the algorithm description and the error analysis derivation details. Moreover, the behavior of the amplitudes of the phase register on the completion of the Quantum Phase Estimation is studied. This study is beneficial for the comprehension of the choice of the phase register size and its interrelation with the Hamiltonian simulation duration in the algorithm setup phase. |
| title | Detailed Error Analysis of the HHL Algorithm |
| topic | Quantum Physics Numerical Analysis |
| url | https://arxiv.org/abs/2401.17182 |