The State of Factoring on Quantum Computers
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arXiv
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866918021801443328 |
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| author | Willsch, Dennis Hanussek, Philipp Hoever, Georg Willsch, Madita Jin, Fengping De Raedt, Hans Michielsen, Kristel |
| author_facet | Willsch, Dennis Hanussek, Philipp Hoever, Georg Willsch, Madita Jin, Fengping De Raedt, Hans Michielsen, Kristel |
| contents | We report on the current state of factoring integers on both digital and analog quantum computers. For digital quantum computers, we study the effect of errors for which one can formally prove that Shor's factoring algorithm fails. For analog quantum computers, we experimentally test three factorisation methods and provide evidence for a scaling performance that is absolutely and asymptotically better than random guessing but still exponential. We conclude with an overview of future perspectives on factoring large integers on quantum computers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_14397 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The State of Factoring on Quantum Computers Willsch, Dennis Hanussek, Philipp Hoever, Georg Willsch, Madita Jin, Fengping De Raedt, Hans Michielsen, Kristel Quantum Physics Computational Physics We report on the current state of factoring integers on both digital and analog quantum computers. For digital quantum computers, we study the effect of errors for which one can formally prove that Shor's factoring algorithm fails. For analog quantum computers, we experimentally test three factorisation methods and provide evidence for a scaling performance that is absolutely and asymptotically better than random guessing but still exponential. We conclude with an overview of future perspectives on factoring large integers on quantum computers. |
| title | The State of Factoring on Quantum Computers |
| topic | Quantum Physics Computational Physics |
| url | https://arxiv.org/abs/2410.14397 |