Author

Brandon Augustino

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Preprint Sep 2026

An analysis of iterative refinement for quantum linear system solvers

An IR scheme is developed that solves a sequence of related linear systems to progressively refine the solution while requiring only fixed-precision quantum subroutines, finally obtaining a classical description of a high-precision solution.

Adrian Harkness, Mohammadhossein Mohammadisiahroudi, Brandon Augustino 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