Estimating QSVT angles for matrix inversion with large condition numbers
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910795895406592 |
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| author | Novikau, I. Joseph, I. |
| author_facet | Novikau, I. Joseph, I. |
| contents | Quantum Singular Value Transformation (QSVT) is a state-of-the-art, near-optimal quantum algorithm that can be used for matrix inversion. The QSVT circuit is parameterized by a sequence of angles that must be pre-calculated classically, with the number of angles increasing as the matrix condition number grows. Computing QSVT angles for ill-conditioned problems is a numerically challenging task. We propose a numerical technique for estimating QSVT angles for large condition numbers. This technique allows one to avoid expensive numerical computations of QSVT angles and to emulate QSVT circuits for solving ill-conditioned problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_15453 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Estimating QSVT angles for matrix inversion with large condition numbers Novikau, I. Joseph, I. Quantum Physics Computational Physics Quantum Singular Value Transformation (QSVT) is a state-of-the-art, near-optimal quantum algorithm that can be used for matrix inversion. The QSVT circuit is parameterized by a sequence of angles that must be pre-calculated classically, with the number of angles increasing as the matrix condition number grows. Computing QSVT angles for ill-conditioned problems is a numerically challenging task. We propose a numerical technique for estimating QSVT angles for large condition numbers. This technique allows one to avoid expensive numerical computations of QSVT angles and to emulate QSVT circuits for solving ill-conditioned problems. |
| title | Estimating QSVT angles for matrix inversion with large condition numbers |
| topic | Quantum Physics Computational Physics |
| url | https://arxiv.org/abs/2408.15453 |