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arXiv · 2103.08140

Post-Quantum Succinct Arguments: Breaking the Quantum Rewinding Barrier

Alessandro Chiesa·Fermi Ma·Nicholas Spooner·Mark Zhandry
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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.

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Alessandro Chiesa, Fermi Ma, Nicholas Spooner, Mark Zhandry. 2021-03-15. Post-Quantum Succinct Arguments: Breaking the Quantum Rewinding Barrier. https://arxiv.org/abs/2103.08140

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