3 citations · 6 across the 4 of their papers we have counts for
4 papers
Vortex Detection from Quantum Data
Chelsea A. Williams, Annie E. Paine, Antonio A. Gentile +2
Quantum solutions to differential equations represent quantum data -- states that contain relevant information about the system's behavior, yet are difficult to analyze. We propose…
Addressing the Readout Problem in Quantum Differential Equation Algorithms with Quantum Scientific Machine Learning
Chelsea A. Williams, Stefano Scali, Antonio A. Gentile +2
Quantum differential equation solvers aim to prepare solutions as -qubit quantum states over a fine grid of points, surpassing the linear scaling of classical solvers.…
Quantum Iterative Methods for Solving Differential Equations with Application to Computational Fluid Dynamics
Chelsea A. Williams, Antonio A. Gentile, Vincent E. Elfving +2
We propose quantum methods for solving differential equations that are based on a gradual improvement of the solution via an iterative process, and are targeted at applications in…
Quantum Chebyshev Transform: Mapping, Embedding, Learning and Sampling Distributions
Chelsea A. Williams, Annie E. Paine, Hsin-Yu Wu +2
We develop a paradigm for building quantum models in the orthonormal space of Chebyshev polynomials. We show how to encode data into quantum states with amplitudes being Chebyshev…