Post-Quantum Succinct Arguments: Breaking the Quantum Rewinding Barrier
Alessandro Chiesa, Fermi Ma, Nicholas Spooner +1 more
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.
arXiv:2103.08140•Annual Symposium on Foundations of Computer Science•Feb 1, 2022•30 citations