Corpus ID: 220265411

A quantum algorithm to estimate the Gowers U2 norm and linearity testing of Boolean functions

@article{Jothishwaran2020AQA,
  title={A quantum algorithm to estimate the Gowers U2 norm and linearity testing of Boolean functions},
  author={C. A. Jothishwaran and Anton Tkachenko and Sugata Gangopadhyay and Constanza Riera and Pantelimon Stănică},
  journal={ArXiv},
  year={2020},
  volume={abs/2006.16523}
}
  • C. A. Jothishwaran, Anton Tkachenko, +2 authors Pantelimon Stănică
  • Published 2020
  • Computer Science, Physics
  • ArXiv
  • We propose a quantum algorithm to estimate the Gowers U2 norm of a Boolean function, and extend it into a second algorithm to distinguish between linear Boolean functions and Boolean functions that are ǫ-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 U3 norms of Boolean functions. 

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