Learning Solutions to the Schrödinger equation with Neural-Network Quantum States


Event details

Date 15.12.2021 16:1517:15  
Speaker Prof. Giuseppe Carleo, EPFL
Category Conferences - Seminars
Event Language English

The theoretical description of several complex quantum phenomena fundamentally relies on many-particle wave functions and our ability to represent and manipulate them. Variational methods in quantum mechanics aim at compact descriptions of many-body wave functions in terms of parameterised ansatz states, and are at present living exciting transformative developments informed by ideas developed in machine learning. In this presentation I will discuss variational representations of quantum states based on artificial neural networks [1] and their use in approximately solving the Schrödinger equation. I will further highlight the general representation properties of such states, the crucial role of physical symmetries, as well as the connection with other known representations based on tensor networks [2]. Finally, I will discuss how some classic ideas in machine learning, such as the Natural Gradient, are being used and re-purposed in quantum computing applications [3].

[1] Carleo and Troyer, Science 365, 602 (2017)
[2] Sharir, Shashua, and Carleo, arXiv:2103.10293 (2021)
[3] Stokes, Izaac, Killoran, and Carleo, Quantum 4, 269 (2020)

Practical information

  • General public
  • Free


  • Nicolas Boumal, Fabio Nobile


  • Nicolas Boumal

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