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arXiv · 2607.13641

The potential of quantum computers for Particle Image Velocimetry

Philipp Pfeffer·Theo Käufer·Julia Ingelmann·Christian Cierpka·Jörg Schumacher
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Abstract

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 obtained with sub-pixelaccuracy by analyzing cross-correlations, empowered by Fast Fourier Transforms (FFT). Here, we present a quantum algorithm with multidimensional quantum Fourier Transforms, termed Quantum-based PIV (QuPIV), to replace the classical computation of up to millions of velocity vectors. Our end-to-end quantum algorithm includes a novel state preparation, modified amplitude amplification, and the output extraction. We enhance amplitude amplification by a contracted ground-state projector, which allows a significant reduction of the number of gates in the quantum circuit. We justify the end-to-end capability with numerical studies on all stages of the algorithm on both synthetic and experimental data.

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Philipp Pfeffer, Theo Käufer, Julia Ingelmann, Christian Cierpka, Jörg Schumacher. 2026-07-15. The potential of quantum computers for Particle Image Velocimetry. https://arxiv.org/abs/2607.13641

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