Terra Quantum, a global leader in quantum technologies, and Empa, the Swiss Federal Laboratories for Materials Science and Technology, announced LP-FNO (Laser Processing Fourier Neural Operator), an artificial intelligence surrogate model that predicts full three-dimensional melt-pool dynamics in laser welding up to 100,000 faster than traditional multiphysics simulation. Removing the computational bottleneck that has long blocked real-time process control and digital twin deployment in industrial laser processing.

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The Simulation Bottleneck in Laser Welding

Laser welding is a precision manufacturing process used across aerospace, medical device, and automotive production, where control of the melt pool, the zone of molten metal found beneath the laser beam, is central to weld quality and consistency. High-fidelity multiphysics simulations have been the primary tool for understanding and optimizing the process, but their computational cost has made real-time application impractical. A single simulation run using current gold-standard tools takes approximately six minutes at standard 10 µm resolution and over one hour at finer 5 µm resolution, placing process control, large-scale parameter optimization, and uncertainty quantification out of reach for industrial operators.

What LP-FNO Does

LP-FNO learns the relationship between laser process parameters, power and scan speed, and the resulting three-dimensional temperature fields and melt-pool boundaries, using a Fourier Neural Operator architecture that mixes information globally across the physical domain in a single forward pass. The model was trained on high-fidelity thermo-fluid simulations of Ti-6Al-4V titanium alloy, spanning a process window of 40 to 190 watts of laser power and scan speeds from 0.1 to 1 meter per second, covering both conduction and stable keyhole welding regimes. Once trained, LP-FNO produces full 3D predictions in approximately 8 milliseconds at standard resolution and 88 milliseconds at twice the resolution.

A key element of the approach is a quasi-steady reformulation of the laser-scanning problem. By transforming the transient simulation into a reference frame that moves with the laser beam and applying temporal averaging, the research team converted an inherently time-dependent problem into a form suitable for operator learning. This enabled LP-FNO to accurately represent stable keyhole welding dynamics, the most physically complex regime, involving deep vapor depressions, recoil-pressure-driven surface deformation, and strong laser-absorption variation, within the same framework used for conduction-mode welding.

“The ability to compress hours of physics simulation into milliseconds is not an incremental improvement, it is the kind of change that makes entirely new applications possible,” said Markus Pflitsch, CEO and Founder of Terra Quantum. “With LP-FNO, industrial operators can run process optimization in real time, build digital twins that stay synchronized with the physical process, and explore parameter spaces that were previously too expensive to probe. This is what deploying AI on the toughest problems in manufacturing looks like.”

Key Findings

  • Speed: up to 100,000 times faster than equivalent high-fidelity multiphysics simulation

  • Temperature accuracy: approximately 2.5% average relative error

  • Melt-pool prediction: intersection-over-union (IoU) score above 0.9 for melt-pool boundary segmentation

  • Regime coverage: to the authors’ knowledge, the first surrogate model to span both conduction and stable keyhole welding regimes within a quasi-steady operator-learning framework

  • Resolution invariance: a model trained on coarse-resolution data can be evaluated on finer grids without retraining, delivering accurate super-resolved predictions

  • Architecture benchmark: LP-FNO demonstrates the most favourable accuracy–efficiency trade-off among the neural architectures tested, including fully connected coordinate networks, U-Net, and DeepONet variants

The full study is published in the Journal of Intelligent Manufacturing (DOI: 10.1007/s10845-026-02917-0).

“This partnership brought together Empa’s expertise in laser processing, materials science, and process-modelling know-how with Terra Quantum’s capability in advanced machine learning and neural operator methods,” said Dr. Elia Iseli, Head of Light-Matter Dynamics Group, Empa. “The accuracy with which LP-FNO reproduces the manufacturing-relevant outputs of the high-fidelity models, including temperature fields, melt-pool geometry, and phase interfaces, highlights the predictive power of the surrogate approach. This level of agreement reflects the close integration of machine-learning development and expertise in laser process modelling throughout the project.. It is a result that could not have been achieved without this partnership.”

“Fourier Neural Operators are architecturally well-suited to this class of problem because they learn in spectral space, mixing information across the full physical domain at each layer rather than propagating it locally through convolutional neighborhoods,” said Florian Neukart, Chief Technology Officer at Terra Quantum. “That global perspective is what gives the model its resolution-invariant property: the spectral weights learned on coarse training data generalizes naturally to finer evaluation grids. Combined with the quasi-steady reformulation, this gave us a single trained model that handles both conduction and keyhole regimes with consistent accuracy across the process window.”

To learn more about Terra Quantum, please visit: https://terraquantum.swiss/

About Terra Quantum

Terra Quantum Group is a leading quantum technology company based in Germany and Switzerland. It provides “Quantum as a Service (QaaS)” in three core areas, the first one being “Quantum Algorithms as a Service”. Here, customers are provided access to an extensive library of algorithms, such as hybrid quantum optimization and hybrid quantum neural networks, which can be used for solving complex logistics problems or pattern recognition, among other things. Terra Quantum also develops new quantum algorithms for its customers or adapts existing algorithms to their specific needs. Secondly, through “Quantum Computing as a Service”, Terra Quantum offers its customers access to its proprietary high-performance simulated quantum processing units (QPU), the quantum ecosystem’s physical QPUs, while also developing native QPUs. The third division is “Quantum Security as a Service,” through which Terra Quantum offers its unique solutions for secure quantum and post quantum communications worldwide. Visit us on LinkedIn and our webpage.

About Empa

Empa is the ETH Domain’s interdisciplinary research institute for materials science and technology. Serving as a bridge between research and practical application, it develops innovative solutions to the most pressing challenges facing industry and society. Through efficient technology transfer in close collaboration with industry partners, Empa fosters innovations that strengthen both the innovative capacity and the international competitiveness of its industry partners. A careful use of our natural resources and thinking in closed cycles are core to Empa’s approach. www.empa.ch

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