2 papers
quant-ph2026
Quantum Rational Transformation Using Linear Combinations of Hamiltonian Simulations
Yizhi Shen, Niel Van Buggenhout, Daan Camps +2
Rational functions are exceptionally powerful tools in scientific computing, yet their abilities to advance quantum algorithms remain largely untapped. In this paper, we introduce…
math.NA2025
Constructing Sobolev orthonormal rational functions via an updating procedure
Amin Faghih, Marc Van Barel, Niel Van Buggenhout +1
In this paper, we generate the recursion coefficients for rational functions with prescribed poles that are orthonormal with respect to a continuous Sobolev inner product. Using a…