Title
Quantum Lazy Sampling and Game-Playing Proofs for Quantum Indifferentiability.
Abstract
Game-playing proofs constitute a powerful framework for classical 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 Zhandryu0027s compressed quantum oracles [Zha18] can be used to do quantum lazy sampling from non-uniform function distributions. Second, we observe how Unruhu0027s one-way-to-hiding lemma [Unr14] 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 or a random permutation. Our results upgrade post-quantum security of SHA-3 to the same level that is proven against classical adversaries.
Year
Venue
Field
2019
IACR Cryptology ePrint Archive
Discrete mathematics,Quantum,Fundamental lemma,Cryptography,Generalization,Random permutation,Theoretical computer science,Mathematical proof,Sampling (statistics),Mathematics,Lemma (mathematics)
DocType
Citations 
PageRank 
Journal
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Jan Czajkowski131.78
Christian Majenz200.34
Christian Schaffner3152.77
Sebastian Zur400.34