A quantum algorithm to estimate the Gowers $U_2$ norm and linearity testing of Boolean functions
Discrete Mathematics
2020-07-01 v1 Quantum Physics
Abstract
We propose a quantum algorithm to estimate the Gowers norm of a Boolean function, and extend it into a second algorithm to distinguish between linear Boolean functions and Boolean functions that are -far from the set of linear Boolean functions, which seems to perform better than the classical BLR algorithm. Finally, we outline an algorithm to estimate Gowers norms of Boolean functions.
Keywords
Cite
@article{arxiv.2006.16523,
title = {A quantum algorithm to estimate the Gowers $U_2$ norm and linearity testing of Boolean functions},
author = {C. A. Jothishwaran and Anton Tkachenko and Sugata Gangopadhyay and Constanza Riera and Pantelimon Stanica},
journal= {arXiv preprint arXiv:2006.16523},
year = {2020}
}