Post-Quantum Succinct Arguments: Breaking the Quantum Rewinding Barrier

• URL: http://arxiv.org/abs/2103.08140v2
• Date: Mon, 7 Jun 2021 20:34:34 GMT
• Title: Post-Quantum Succinct Arguments: Breaking the Quantum Rewinding Barrier
• Authors: Alessandro Chiesa, Fermi Ma, Nicholas Spooner, Mark Zhandry
• Abstract summary: We prove that Kilian's four-message succinct argument system is post-quantum secure in the standard model. This yields the first post-quantum succinct argument system from any falsifiable assumption.
• Score: 73.70426431502803
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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