Quantum Lazy Sampling and Game-Playing Proofs for Quantum Indifferentiability
Abstract
Game-playing proofs constitute a powerful framework for non-quantum cryptographic security arguments, most notably applied in the context of indifferentiability. An essential ingredient in such proofs is lazy sampling of random primitives. We develop a quantum game-playing proof framework by generalizing two recently developed proof techniques. First, we describe how Zhandry's compressed quantum oracles~(Crypto'19) can be used to do quantum lazy sampling of a class of non-uniform function distributions. Second, we observe how Unruh's one-way-to-hiding lemma~(Eurocrypt'14) can also be applied to compressed oracles, providing a quantum counterpart to the fundamental lemma of game-playing. Subsequently, we use our game-playing framework to prove quantum indifferentiability of the sponge construction, assuming a random internal function.
Cite
@article{arxiv.1904.11477,
title = {Quantum Lazy Sampling and Game-Playing Proofs for Quantum Indifferentiability},
author = {Jan Czajkowski and Christian Majenz and Christian Schaffner and Sebastian Zur},
journal= {arXiv preprint arXiv:1904.11477},
year = {2021}
}