Paper 2023/1097
Quantum Money from Abelian Group Actions
, NTT ResearchAbstract
We give a construction of public key quantum money, and even a strengthened version called quantum lightning, from abelian group actions, which can in turn be constructed from suitable isogenies over elliptic curves. We prove security in the generic group model for group actions under a plausible computational assumption, and develop a general toolkit for proving quantum security in this model. Along the way, we explore knowledge assumptions and algebraic group actions in the quantum setting, finding significant limitations of these assumptions/models compared to generic group actions.
Note: Added attack on the Knowledge of Group Element Assumption, as well as a generic group action model proof
Metadata
- Available format(s)
-
PDF
- Category
- Cryptographic protocols
- Publication info
- Published elsewhere. Major revision. ITCS 2024
- Keywords
- quantum moneyisogeniesgroup actions
- Contact author(s)
- mzhandry @ gmail com
- History
- 2023-11-28: last of 3 revisions
- 2023-07-14: received
- See all versions
- Short URL
- https://ia.cr/2023/1097
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2023/1097,
author = {Mark Zhandry},
title = {Quantum Money from Abelian Group Actions},
howpublished = {Cryptology ePrint Archive, Paper 2023/1097},
year = {2023},
note = {\url{https://eprint.iacr.org/2023/1097}},
url = {https://eprint.iacr.org/2023/1097}
}
