Paper 2022/889 Original: eprint.iacr.org/2022/889 ↗

Quantum Rewinding for Many-Round Protocols

Russell W. F. Lai
Giulio Malavolta
Nicholas Spooner
Abstract

We investigate the security of succinct arguments against quantum adversaries. Our main result is a proof of knowledge-soundness in the post-quantum setting for a class of multi-round interactive protocols, including those based on the recursive folding technique of Bulletproofs. To prove this result, we devise a new quantum rewinding strategy, the first that allows for rewinding across many rounds. This technique applies to any protocol satisfying natural multi-round generalizations of special soundness and collapsing. For our main result, we show that recent Bulletproofs-like protocols based on lattices satisfy these properties, and are hence sound against quantum adversaries.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
History
2022-09-23: last updated
2022-07-07: published
Short URL
https://ia.cr/2022/889
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2022/889,
      author = {Russell W. F. Lai and Giulio Malavolta and Nicholas Spooner},
      title = {Quantum Rewinding for Many-Round Protocols},
      howpublished = {Cryptology {ePrint} Archive, Paper 2022/889},
      year = {2022},
      url = {https://eprint.iacr.org/2022/889}
}
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