Paper 2017/575
Quantum Collision-Resistance of Non-uniformly Distributed Functions: Upper and Lower Bounds
Ehsan Ebrahimi and Dominique Unruh
Abstract
We study the quantum query complexity of finding a collision for a function $f$ whose outputs are chosen according to a non-uniform distribution $D$. We derive some upper bounds and lower bounds depending on the min-entropy and the collision-entropy of $D$. In particular, we improve the previous lower bound by Ebrahimi, Tabia, and Unruh from $\Omega(2^{k/9})$ to $\Omega(2^{k/5})$ where $k$ is the min-entropy of $D$.
Note: The \cite issue in abstract has addressed. We added email to of authors to the paper.
Metadata
- Available format(s)
-
PDF
- Publication info
- Preprint. MINOR revision.
- Keywords
- QuantumCollisionNon-uniform distributionQuery complexity.
- Contact author(s)
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Ehsan Ebrahimi Targhi @ ut ee
unruh @ ut ee - History
- 2017-06-20: received
- Short URL
- https://ia.cr/2017/575
- License
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CC BY
BibTeX
@misc{cryptoeprint:2017/575,
author = {Ehsan Ebrahimi and Dominique Unruh},
title = {Quantum Collision-Resistance of Non-uniformly Distributed Functions: Upper and Lower Bounds},
howpublished = {Cryptology {ePrint} Archive, Paper 2017/575},
year = {2017},
url = {https://eprint.iacr.org/2017/575}
}
