Low-degree multilinear angle maps enable O(ε^{-1} log(1/ε)) quantum gate complexity for numerical integration on [0,1], with unconditional separations from classical quadrature for certain low-regularity functions.
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On the complexity of quantum numerical integration: an angle-structure characterization
Low-degree multilinear angle maps enable O(ε^{-1} log(1/ε)) quantum gate complexity for numerical integration on [0,1], with unconditional separations from classical quadrature for certain low-regularity functions.