3 papers
math.NA2026
Constrained Optimal Polynomials for Quantum Linear System Solvers
Matthias Deiml, Daniel Peterseim
Quantum linear system solvers typically realize the inverse map as a polynomial transformation of the spectrum, so their practical cost hinges on implementing this transformation a…
quant-ph2025
Quantum Sampling and Moment Estimation for Transformed Gaussian Random Fields
Matthias Deiml, Daniel Peterseim
We present a quantum algorithm for efficiently sampling transformed Gaussian random fields on -dimensional domains, based on an enhanced version of the classical moving average…
quant-ph2024
Nonlinear quantum computation by amplified encodings
Matthias Deiml, Daniel Peterseim
This paper presents a novel framework for high-dimensional nonlinear quantum computation that exploits tensor products of amplified vector and matrix encodings to efficiently evalu…