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)
Ehsan Ebrahimi Targhi @ ut ee
unruh @ ut ee
History
2017-06-20: received
Short URL
https://ia.cr/2017/575
License
Creative Commons Attribution
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},
      note = {\url{https://eprint.iacr.org/2017/575}},
      url = {https://eprint.iacr.org/2017/575}
}
Note: In order to protect the privacy of readers, eprint.iacr.org does not use cookies or embedded third party content.