All you need is Trotter
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866909500826451968 |
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| author | Rendon, Gumaro |
| author_facet | Rendon, Gumaro |
| contents | The work here enables linear cost-scaling with evolution time $t$ while keeping ${\rm polylog} (1/ε)$ scaling and no extra block-encoding qubits, where $ε$ is the algorithmic error. This is achieved through product formulas, stable interpolation (Chebyshev), and to calculate the needed fractional queries, cardinal sine interpolation is used. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_01533 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | All you need is Trotter Rendon, Gumaro Quantum Physics The work here enables linear cost-scaling with evolution time $t$ while keeping ${\rm polylog} (1/ε)$ scaling and no extra block-encoding qubits, where $ε$ is the algorithmic error. This is achieved through product formulas, stable interpolation (Chebyshev), and to calculate the needed fractional queries, cardinal sine interpolation is used. |
| title | All you need is Trotter |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2311.01533 |