From the 1 of 5 linked papers with an AI index.
5 papers
An end-to-end quantum algorithm for weakly nonlinear plasma physics with superquadratic speedup
Bjorn K. Berntson, David Jennings, Matteo Lostaglio +1
The paper presents a complete quantum algorithm for simulating a weakly nonlinear kinetic plasma model, using Carleman linearization, hierarchical block encoding, and a specialized…
Quantum Koopman Algorithms
David Jennings, Kamil Korzekwa, Matteo Lostaglio +1
We define an observable-space framework of Quantum Koopman Algorithms (QKAs) for simulating the dynamics of both linear quantum and nonlinear classical systems, based on approximat…
Simulating non-trivial incompressible flows with a quantum lattice Boltzmann algorithm
David Jennings, Kamil Korzekwa, Matteo Lostaglio +4
Quantum algorithms have been identified as a potential means to accelerate computational fluid dynamics (CFD) simulations, with the lattice Boltzmann method (LBM) being a promising…
An end-to-end quantum algorithm for nonlinear fluid dynamics with bounded quantum advantage
David Jennings, Kamil Korzekwa, Matteo Lostaglio +3
Computational fluid dynamics (CFD) is a cornerstone of classical scientific computing, and there is growing interest in whether quantum computers can accelerate such simulations. T…
Quantum algorithms for general nonlinear dynamics based on the Carleman embedding
David Jennings, Kamil Korzekwa, Matteo Lostaglio +3
Important nonlinear dynamics, such as those found in plasma and fluid systems, are typically hard to simulate on classical computers. Thus, if fault-tolerant quantum computers coul…