Paper 2021/334 Original: eprint.iacr.org/2021/334 ↗
Post-Quantum Succinct Arguments: Breaking the Quantum Rewinding Barrier
Abstract
We prove that Kilian's four-message succinct argument system is post-quantum secure in the standard model when instantiated with any probabilistically checkable proof and any collapsing hash function (which in turn exist based on the post-quantum hardness of Learning with Errors). This yields the first post-quantum succinct argument system from any falsifiable assumption. At the heart of our proof is a new quantum rewinding procedure that enables a reduction to repeatedly query a quantum adversary for accepting transcripts as many times as desired. Prior techniques were limited to a constant number of accepting transcripts.
Metadata
- Available format(s)
PDF- Category
- Foundations
- Publication info
- Preprint.
- History
- 2021-06-03: last updated
- 2021-03-17: published
- Short URL
- https://ia.cr/2021/334
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2021/334,
author = {Alessandro Chiesa and Fermi Ma and Nicholas Spooner and Mark Zhandry},
title = {Post-Quantum Succinct Arguments: Breaking the Quantum Rewinding Barrier},
howpublished = {Cryptology {ePrint} Archive, Paper 2021/334},
year = {2021},
url = {https://eprint.iacr.org/2021/334}
}