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Title:
Quantum Rewinding for Many-Round Protocols
Authors: Russell W. F. Lai, Giulio Malavolta, and 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.
ePrint: https://eprint.iacr.org/2022/889
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