A lifted Solovay-Kitaev argument proves that density of QSP ansätze in function spaces implies the existence of short approximating circuits, with examples for several QSP variants.
Yoder, Guang Hao Low, and Isaac L
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A Solovay-Kitaev theorem for quantum signal processing
A lifted Solovay-Kitaev argument proves that density of QSP ansätze in function spaces implies the existence of short approximating circuits, with examples for several QSP variants.