Preprint
Oct 2026
Quantum algorithms for orthogonal polynomial transforms
A quantum orthogonal polynomial transform (QOPT) is an algorithmic primitive that maps a superposition of standard basis states $\sum_k \alpha_{k} \ket{k}$ coherently to a basis of normalized univariate polynomials orthogonal with respect to a probability measure $\mu(x)$. We provide new discrete and continuous QOPTs f...
A. Prakash, Shree Hari Sureshbabu, Dylan Herman et al.
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