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Following Forrelation – quantum algorithms in exploring Boolean functions' spectra

2022
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Advances in Mathematics of Communications
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<p style='text-indent:20px;'>Here we revisit the quantum algorithms for obtaining Forrelation [Aaronson et al., 2015] values to evaluate some of the well-known cryptographically significant spectra of Boolean functions, namely the Walsh spectrum, the cross-correlation spectrum, and the autocorrelation spectrum. We introduce the existing 2-fold Forrelation formulation with bent duality-based promise problems as desirable instantiations. Next, we concentrate on the 3-fold version through two

doi:10.3934/amc.2021067
fatcat:v7fs5y2merhujmxi5fktjcdti4