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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…
math.NA2024
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…
quant-ph2024★ 2 cited
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…