The encoding cost of quantum numerical integration is controlled by the multilinear degree of the amplitude angle map, yielding an O(ε⁻¹ log(1/ε)) gate count for affine encodings.
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On the encoding complexity of quantum numerical integration: an angle-structure characterization
The encoding cost of quantum numerical integration is controlled by the multilinear degree of the amplitude angle map, yielding an O(ε⁻¹ log(1/ε)) gate count for affine encodings.