Quantum Kravchuk Transform
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Quantum Kravchuk Transform using $\mathfrak{su}(2)$ fast-forwarding
arXiv:2606.08443v1 Announce Type: cross Abstract: We present a quantum algorithm for the Kravchuk transform that scales logarithmically in both the dimension and the inverse of the error parameter. The quantum Kravchuk transform maps computational basis states to states with amplitudes proportional to Kravchuk functions. We achieve this by combining two key techniques: the structural relationship between the Kravchuk transform and the Lie algebras $\mathfrak{su}(2)$, and a recent...