PIRSA:25050040

Neural Networks and Quantum Mechanics

Ferko, C. (2025). Neural Networks and Quantum Mechanics. Perimeter Institute. https://pirsa.org/25050040

Ferko, Christian. Neural Networks and Quantum Mechanics. Perimeter Institute, May. 23, 2025, https://pirsa.org/25050040 

          @misc{ pirsa_PIRSA:25050040,
            doi = {10.48660/25050040},
            url = {https://pirsa.org/25050040},
            author = {Ferko, Christian},
            keywords = {Other},
            language = {en},
            title = {Neural Networks and Quantum Mechanics},
            publisher = {Perimeter Institute},
            year = {2025},
            month = {may},
            note = {PIRSA:25050040 see, \url{https://pirsa.org}}
          }

Christian Ferko Northeastern University

Talk numberPIRSA:25050040
DOI10.48660/25050040
Collection
Talk Type Scientific Series
Subject

Abstract

In this talk, I will survey recent developments about the connection between neural networks and models of quantum mechanics and quantum field theory. Previous work has shown that the neural network - Gaussian process correspondence can be interpreted as the statement that large-width neural networks share some properties with free, or weakly interacting, quantum field theories (QFTs). Here I will focus on 1d QFTs, or models of quantum mechanics, where one has greater theoretical control. For instance, under mild assumptions, one can prove that any model of a quantum particle admits a representation as a neural network. Cherished features of quantum mechanics, such as uncertainty relations, emerge from specific architectural choices that are made to satisfy the axioms of quantum theory. Based on 2504.05462 with Jim Halverson.