69 citations · 128 across the 12 of their papers we have counts for
12 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…
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…
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…
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…
Slim multi-scale convolutional autoencoder-based reduced-order models for interpretable features of a complex dynamical system
Philipp Teutsch, Philipp Pfeffer, Mohammad Sharifi Ghazijahani +3
In recent years, data-driven deep learning models have gained significant interest in the analysis of turbulent dynamical systems. Within the context of reduced-order models (ROMs)…
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…
Reduced-order modeling of two-dimensional turbulent Rayleigh-Bénard flow by hybrid quantum-classical reservoir computing
Philipp Pfeffer, Florian Heyder, Jörg Schumacher
Two hybrid quantum-classical reservoir computing models are presented to reproduce low-order statistical properties of a two-dimensional turbulent Rayleigh-Bénard convection flow a…
Multidimensional Quantum Fourier Transformation
Philipp Pfeffer
The Quantum Fourier Transformation (QFT) is a well-known subroutine for algorithms on qubit-based universal quantum computers. In this work, the known QFT circuit is used to derive…
Hybrid quantum-classical reservoir computing of thermal convection flow
Philipp Pfeffer, Florian Heyder, Jörg Schumacher
We simulate the nonlinear chaotic dynamics of Lorenz-type models for a classical two-dimensional thermal convection flow with 3 and 8 degrees of freedom by a hybrid quantum--classi…
Embedding classical dynamics in a quantum computer
Dimitrios Giannakis, Abbas Ourmazd, Philipp Pfeffer +2
We develop a framework for simulating measure-preserving, ergodic dynamical systems on a quantum computer. Our approach provides a new operator-theoretic representation of classica…