From the 1 of 7 linked papers with an AI index.
7 papers
The potential of quantum computers for Particle Image Velocimetry
Philipp Pfeffer, Theo Käufer, Julia Ingelmann +2
The paper introduces a quantum algorithm that uses multidimensional quantum Fourier transforms to accelerate Particle Image Velocimetry calculations, detailing state preparation, a…
Variational quantum algorithm for anion exchange across electrolyzer membrane
Timur Gubaev, Philipp Pfeffer, Christian DreÃler +1
We present a variational quantum algorithm that solves the one-dimensional diffusion problem with a space-dependent diffusion constant . This problem is relevant for the exch…
High-order splitting of non-unitary operators on quantum computers
Peter Brearley, Philipp Pfeffer
Dissipation and irreversibility are central to many physical systems, yet they lead to non-unitary dynamics that are challenging to realise on quantum processors. High-order operat…
Tensor network approximation of Koopman operators
Dimitrios Giannakis, Mohammad Javad Latifi Jebelli, Michael Montgomery +3
We propose a tensor network framework for approximating the evolution of observables of measure-preserving ergodic systems. Our approach is based on a spectrally-convergent approxi…
Spectral quantum algorithm for passive scalar transport in shear flows
Philipp Pfeffer, Peter Brearley, Sylvain Laizet +1
The mixing of scalar substances in fluid flows by stirring and diffusion is ubiquitous in natural flows, chemical engineering, and microfluidic drug delivery. Here, we present a sp…
Second quantization for classical nonlinear dynamics
Dimitrios Giannakis, Mohammad Javad Latifi Jebelli, Michael Montgomerry +3
Using techniques from many-body quantum theory, we propose a framework for representing the evolution of observables of measure-preserving ergodic flows through infinite-dimensiona…