A quantum algorithm to estimate the closeness to the Strict Avalanche criterion in Boolean functions
Data Structures and Algorithms
2022-11-29 v1 Cryptography and Security
Quantum Physics
Abstract
We propose a quantum algorithm (in the form of a quantum oracle) that estimates the closeness of a given Boolean function to one that satisfies the ``strict avalanche criterion'' (SAC). This algorithm requires queries of the Boolean function oracle, where is the number of input variables, this is fewer than the queries required by the classical algorithm to perform the same task. We compare our approach with other quantum algorithms that may be used for estimating the closeness to SAC and it is shown our algorithm verifies SAC with the fewest possible calls to quantum oracle and requires the fewest samples for a given confidence bound.
Keywords
Cite
@article{arxiv.2211.15356,
title = {A quantum algorithm to estimate the closeness to the Strict Avalanche criterion in Boolean functions},
author = {C. A. Jothishwaran and Abhishek Chakraborty and Vishvendra Singh Poonia and Pantelimon Stanica and Sugata Gangopadhyay},
journal= {arXiv preprint arXiv:2211.15356},
year = {2022}
}