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P. Givi

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Preprint Sep 2026

Operator Learning with Variational Quantum Circuits

A new methodology is developed for quantum machine learning which enables variational quantum circuits to learn linear and non-linear solution operators to differential equations, leveraging the quantum universal approximation theorem.

Jorgen Wu, Masoud Barati, P. Givi · 0 citations
Preprint Aug 2026

A priori Assessment of Tensor-Network Encoding for Isotropic Turbulent Flows

Tensor networks (TNs), originally developed for simulating many-body quantum systems, provide a systematic framework for approximating high-dimensional fields. This is achieved by factorizing the field into interconnected tensors with small bond dimensions, thereby restricting the correlations captured across field bip...

M. Esmaeili, Hirad Alipanah, Robert Pinkston et al. · 1 citation

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