Paper 2025/639 Original: eprint.iacr.org/2025/639 ↗
Cryptomania v.s. Minicrypt in a Quantum World
Abstract
We prove that it is impossible to construct perfect-complete quantum public-key encryption (QPKE) with classical keys from quantumly secure one-way functions (OWFs) in a black-box manner, resolving a long-standing open question in quantum cryptography. Specifically, in the quantum random oracle model (QROM), no perfect-complete QPKE scheme with classical keys, and classical/quantum ciphertext can be secure. This improves the previous works which require either unproven conjectures or imposed restrictions on key generation algorithms. This impossibility extends to QPKE with quantum public key in natural settings, which is tight to all known QPKE constructions with quantum public key.
Metadata
- Available format(s)
PDF- Category
- Foundations
- Publication info
- Preprint.
- History
- 2026-06-01: last updated
- 2025-04-08: published
- Short URL
- https://ia.cr/2025/639
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2025/639,
author = {Longcheng Li and Qian Li and Xingjian Li and Qipeng Liu},
title = {Cryptomania v.s. Minicrypt in a Quantum World},
howpublished = {Cryptology {ePrint} Archive, Paper 2025/639},
year = {2025},
url = {https://eprint.iacr.org/2025/639}
}