4 citations · 6 across the 7 of their papers we have counts for
8 papers
Unitaria: Quantum Linear Algebra via Block Encodings
Matthias Deiml, Oliver Hüttenhofer, Ram Mosco +2
We introduce Unitaria, a Python library that brings the simplicity of classical linear algebra toolkits such as NumPy and SciPy to the implementation of quantum algorithms based on…
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…
Quantum Enhanced Numerical Homogenization
Loïc Balazi, Matthias Deiml, Daniel Peterseim
We propose a numerical homogenization method for scalar linear partial differential equations with rough coefficients that integrates classical coarse-scale solvers with quantum su…
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…
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…
A second-order iterative time integration scheme for linear poroelasticity
R. Altmann, M. Deiml
We propose a novel time stepping method for linear poroelasticity by extending a recent iterative decoupling approach to the second-order case. This results in a two-step scheme wi…
Quantum Realization of the Finite Element Method
Matthias Deiml, Daniel Peterseim
This paper presents a quantum algorithm for the solution of prototypical second-order linear elliptic partial differential equations discretized by -linear finite elements on Ca…
A novel iterative time integration scheme for linear poroelasticity
R. Altmann, M. Deiml
Within this paper, we introduce and analyze a novel time stepping scheme for linear poroelasticity. In each time frame, we iteratively solve the flow and mechanics equations with a…