Parallel Kac's Walk Generates PRU
Fuente:
arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912394210443264 |
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| author | Lu, Chuhan Qin, Minglong Song, Fang Yao, Penghui Zhao, Mingnan |
| author_facet | Lu, Chuhan Qin, Minglong Song, Fang Yao, Penghui Zhao, Mingnan |
| contents | Ma and Huang recently proved that the PFC construction, introduced by Metger, Poremba, Sinha and Yuen [MPSY24], gives an adaptive-secure pseudorandom unitary family PRU. Their proof developed a new path recording technique [MH24].
In this work, we show that a linear number of sequential repetitions of the parallel Kac's Walk, introduced by Lu, Qin, Song, Yao and Zhao [LQSY+24], also forms an adaptive-secure PRU, confirming a conjecture therein. Moreover, it additionally satisfies strong security against adversaries making inverse queries. This gives an alternative PRU construction, and provides another instance demonstrating the power of the path recording technique. We also discuss some further simplifications and implications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_14957 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Parallel Kac's Walk Generates PRU Lu, Chuhan Qin, Minglong Song, Fang Yao, Penghui Zhao, Mingnan Quantum Physics Computational Complexity Cryptography and Security Ma and Huang recently proved that the PFC construction, introduced by Metger, Poremba, Sinha and Yuen [MPSY24], gives an adaptive-secure pseudorandom unitary family PRU. Their proof developed a new path recording technique [MH24]. In this work, we show that a linear number of sequential repetitions of the parallel Kac's Walk, introduced by Lu, Qin, Song, Yao and Zhao [LQSY+24], also forms an adaptive-secure PRU, confirming a conjecture therein. Moreover, it additionally satisfies strong security against adversaries making inverse queries. This gives an alternative PRU construction, and provides another instance demonstrating the power of the path recording technique. We also discuss some further simplifications and implications. |
| title | Parallel Kac's Walk Generates PRU |
| topic | Quantum Physics Computational Complexity Cryptography and Security |
| url | https://arxiv.org/abs/2504.14957 |