Magic of the Well: assessing quantum resources of fluid dynamics data

• URL: http://arxiv.org/abs/2512.03177v1
• Date: Tue, 02 Dec 2025 19:23:46 GMT
• Title: Magic of the Well: assessing quantum resources of fluid dynamics data
• Authors: Antonio Francesco Mello, Mario Collura, E. Miles Stoudenmire, Ryan Levy,
• Abstract summary: We investigate the quantum resource requirements of a dataset generated from simulations of two-dimensional, periodic, incompressible shear flow.<n>Our analysis reveals that, under specific initial conditions, the shear width identifies a transition between resource-efficient and resource-intensive regimes.<n>These findings offer useful guidelines for the development of scalable, quantum-inspired approaches to fluid dynamics.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We investigate the quantum resource requirements of a dataset generated from simulations of two-dimensional, periodic, incompressible shear flow, aimed at training machine learning models. By measuring entanglement and non-stabilizerness on MPS-encoded functions, we estimate the computational complexity encountered by a stabilizer or a tensor network solver applied to Computational Fluid Dynamics (CFD) simulations across different flow regimes. Our analysis reveals that, under specific initial conditions, the shear width identifies a transition between resource-efficient and resource-intensive regimes for non-trivial evolution. Furthermore, we find that the two resources qualitatively track each other in time, and that the mesh resolution along with the sign structure play a crucial role in determining the resource content of the encoded state. These findings offer useful guidelines for the development of scalable, quantum-inspired approaches to fluid dynamics.

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