Paper 2023/069
On the (Im)plausibility of Public-Key Quantum Money from Collision-Resistant Hash Functions
Abstract
Public-key quantum money is a cryptographic proposal for using highly entangled quantum states as currency that is publicly verifiable yet resistant to counterfeiting due to the laws of physics. Despite significant interest, constructing provably-secure public-key quantum money schemes based on standard cryptographic assumptions has remained an elusive goal. Even proposing plausibly-secure candidate schemes has been a challenge. These difficulties call for a deeper and systematic study of the structure of public-key quantum money schemes and the assumptions they can be based on. Motivated by this, we present the first black-box separation of quantum money and cryptographic primitives. Specifically, we show that collision-resistant hash functions cannot be used as a black-box to construct public-key quantum money schemes where the banknote verification makes classical queries to the hash function. Our result involves a novel combination of state synthesis techniques from quantum complexity theory and simulation techniques, including Zhandry's compressed oracle technique.
Metadata
- Available format(s)
-
PDF
- Category
- Foundations
- Publication info
- Preprint.
- Keywords
- quantum cryptographyquantum moneyblack-box separations
- Contact author(s)
-
prabhanjan @ cs ucsb edu
huzh19 @ mails tsinghua edu cn
hyuen @ cs columbia edu - History
- 2023-01-23: approved
- 2023-01-21: received
- See all versions
- Short URL
- https://ia.cr/2023/069
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2023/069,
author = {Prabhanjan Ananth and Zihan Hu and Henry Yuen},
title = {On the (Im)plausibility of Public-Key Quantum Money from Collision-Resistant Hash Functions},
howpublished = {Cryptology {ePrint} Archive, Paper 2023/069},
year = {2023},
url = {https://eprint.iacr.org/2023/069}
}
