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DY: Fachverband Dynamik und Statistische Physik

DY 58: Focus Session: Physics of AI – Part II (joint session SOE/DY)

DY 58.1: Invited Talk

Friday, March 13, 2026, 09:30–10:00, GÖR/0226

What can we learn from neural quantum states?Brandon Barton10, Juan Carrasquilla10, Anna Dawid9, Antoine Georges3,6,7,8, Megan Schuyler Moss1,2, Alev Orfi3,4, Christopher Roth3, Dries Sels3,4, Anirvan Sengupta3,5, and •Agnes Valenti31Perimeter Institute for Theoretical Physics, Waterloo — 2University of Waterloo, Waterloo — 3Flatiron Institute, New York — 4New York University, New York — 5Rutgers University, New Jersey — 6Collège de France, Paris — 7École Polytechnique, Paris — 8Université de Genève, Genève — 9Universiteit Leiden, The Netherlands — 10ETH Zürich, Switzerland

Neural quantum states (NQS) provide flexible parameterizations of quantum many-body wave-functions that serve as powerful tools for the ground-state search. At the same time, NQS offer something that standard machine-learning tasks and datasets fundamentally lack: a known underlying Hamiltonian and quantum-physics tools that allow direct examination of the encoded wavefunction. This additional structure makes NQS an interesting platform for probing the behavior of classical neural networks themselves. I will first show how pruning and scaling-law phenomena change when the learning task is the quantum wavefunction itself, and link effects depend on the underlying Hamiltonian. I will then discuss generalization and double descent through the lens of quantum observables, by analyzing how NQS fail at the interpolation threshold. Finally, I will discuss how these results relate back to practical consequences for training and architecture search in the context of the ground state search for quantum many-body systems.

Keywords: Neural quantum states; Machine learning; Quantum phase transitions; Overparameterization

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