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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: Hauptvortrag
Freitag, 13. März 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 Valenti3 — 1Perimeter 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