33 citations · 33 across the 7 of their papers we have counts for
7 papers
The potential of quantum computers for Particle Image Velocimetry
Philipp Pfeffer, Theo Käufer, Julia Ingelmann +2
Particle Image Velocimetry (PIV) is the prime image-processing technique to measure and visualize velocity fields of laminar and turbulent flows. The velocity field vectors are obt…
Quantum-enhanced Markov chain Monte Carlo sampling to model Lagrangian tracer dispersion in turbulent boundary layer
Fabian Schindler, Jörg Schumacher
We present a quantum-enhanced Markov chain Monte Carlo (QE-MCMC) method to sample turbulent acceleration vectors from a joint target distribution that depends on all three componen…
Variational quantum algorithm for anion exchange across electrolyzer membrane
Timur Gubaev, Philipp Pfeffer, Christian Dreßler +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…
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…
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…
Two quantum algorithms for solving the one-dimensional advection-diffusion equation
Julia Ingelmann, Sachin S. Bharadwaj, Philipp Pfeffer +2
Two quantum algorithms are presented for the numerical solution of a linear one-dimensional advection-diffusion equation with periodic boundary conditions. Their accuracy and perfo…