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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2210.11281 |
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| _version_ | 1866914905868730368 |
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| author | Cho, Chien Hung Berry, Dominic W. Hsieh, Min-Hsiu |
| author_facet | Cho, Chien Hung Berry, Dominic W. Hsieh, Min-Hsiu |
| contents | Randomization has been applied to Hamiltonian simulation in a number of ways to improve the accuracy or efficiency of product formulas. Deterministic product formulas are often constructed in a symmetric way to provide accuracy of even order 2k. We show that by applying randomized corrections, it is possible to more than double the order to 4k + 1 (corresponding to a doubling of the order of the error). In practice, applying the corrections in a quantum algorithm requires some structure to the Hamiltonian, for example the Pauli strings as are used in the simulation of quantum chemistry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_11281 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Doubling the order of approximation via the randomized product formula Cho, Chien Hung Berry, Dominic W. Hsieh, Min-Hsiu Quantum Physics Randomization has been applied to Hamiltonian simulation in a number of ways to improve the accuracy or efficiency of product formulas. Deterministic product formulas are often constructed in a symmetric way to provide accuracy of even order 2k. We show that by applying randomized corrections, it is possible to more than double the order to 4k + 1 (corresponding to a doubling of the order of the error). In practice, applying the corrections in a quantum algorithm requires some structure to the Hamiltonian, for example the Pauli strings as are used in the simulation of quantum chemistry. |
| title | Doubling the order of approximation via the randomized product formula |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2210.11281 |