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Main Authors: Li, Longcheng, Li, Qian, Li, Xingjian, Liu, Qipeng
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2504.05710
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author Li, Longcheng
Li, Qian
Li, Xingjian
Liu, Qipeng
author_facet Li, Longcheng
Li, Qian
Li, Xingjian
Liu, Qipeng
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2504_05710
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Cryptomania v.s. Minicrypt in a Quantum World
Li, Longcheng
Li, Qian
Li, Xingjian
Liu, Qipeng
Quantum Physics
Cryptography and Security
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.
title Cryptomania v.s. Minicrypt in a Quantum World
topic Quantum Physics
Cryptography and Security
url https://arxiv.org/abs/2504.05710