Author

Dylan Herman

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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. · 0 citations

Preprint Sep 2026

Near-Optimal Quantum Lower Bounds for Convex Optimization via Fourier Rank

We establish a near-linear quantum query lower bound for high-accuracy convex optimization over an explicit family of $n$-dimensional ellipsoids. We focus on linear optimization with an explicitly given objective, where the feasible set is accessed through a membership oracle. We show that any algorithm that, for every...

Brandon Augustino, Shouvanik Chakrabarti, Enrico Fontana et al. · 1 citation