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arXiv · 2609.35633

Succinct Arguments for QMA from Collapsing Hash Functions

James Bartusek·Giulio Malavolta
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Abstract

We prove the existence of succinct arguments for QMA, assuming only the existence of collapsing hash functions. This is the first scheme that relies only on unstructured ``Minicrypt'' assumptions, which are not known to imply public-key encryption. Our main technical contribution is a quantum-succinct \emph{claw-state generation} protocol that allows us to bootstrap a small number of quantum correlations into an arbitrarily large number of claw-state correlations, using classical communication only. This improves upon the work of [Zhang, STOC 2021], having better round complexity, a proof in the standard model, and being overall much simpler. This yields a quantum-succinct blind delegation of quantum computation protocol from one-way functions, which we plug into the communication-compression compiler of [Bartusek, Liu, and Malavolta, EUROCRYPT 2026] to obtain succinct arguments for QMA.

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James Bartusek, Giulio Malavolta. 2026-09-28. Succinct Arguments for QMA from Collapsing Hash Functions. https://arxiv.org/abs/2609.35633

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