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Exponential Quantum Advantage in Testing Fourier Dimensionality

Chen, Kenny
arXiv (All) · Papers
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computational-complexitydata-structures-and-algorithmsquantum-physics
A boolean function $f$ has Fourier dimension $k$ if its nonzero Fourier coefficients span a subspace of dimension $k$. We consider the property testing task of determining whether a function has Fourier dimension at most $k$, or is $ε$-far from being so. We show that there is a $Θ(k)$ quantum proper
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