Unconditional Certified Randomness without Structure

arXiv:2608.31112 · quant-ph, cs.CR · Submitted 2026-08-31 · Read on arXiv

quant-ph, cs.CR

Submitted: 2026-08-31

Updated: 2026-08-31

License: http://creativecommons.org/licenses/by/4.0/

The gist: We obtain a certified randomness protocol in the quantum random oracle model.

Terminology

Abstract

We obtain a certified randomness protocol in the quantum random oracle model. The protocol is non-interactive and publicly verifiable with a classical verifier, and is based on Yamakawa and Zhandry's proof of quantumness [JACM'24]. We prove unconditional security of this protocol against adversaries making subexponentially-many adaptive quantum queries to the random oracle. Prior work on certified randomness relative to a random oracle additionally assumed the Aaronson--Ambainis conjecture or proved security only against low query-depth adversaries.

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