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    Physics-Informed Neural Networks for Quantum Control

    Ariel Norambuena1,*, Marios Mattheakis2, Francisco J. González3, and Raúl Coto3,4,†

    • 1Centro de Optica e Información Cuántica, Universidad Mayor, Camino la Piramide 5750, Huechuraba, Santiago, Chile
    • 2John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, USA
    • 3Centro de Investigación DAiTA Lab, Facultad de Estudios Interdisciplinarios, Universidad Mayor, Santiago 7560908, Chile
    • 4Department of Physics, Florida International University, Miami, Florida 33199, USA

    • *ariel.norambuena@umayor.cl
    • †raul.coto@protonmail.com

    Phys. Rev. Lett. 132, 010801 – Published 3 January, 2024

    DOI: https://doi.org/10.1103/PhysRevLett.132.010801

    Abstract

    Quantum control is a ubiquitous research field that has enabled physicists to delve into the dynamics and features of quantum systems, delivering powerful applications for various atomic, optical, mechanical, and solid-state systems. In recent years, traditional control techniques based on optimization processes have been translated into efficient artificial intelligence algorithms. Here, we introduce a computational method for optimal quantum control problems via physics-informed neural networks (PINNs). We apply our methodology to open quantum systems by efficiently solving the state-to-state transfer problem with high probabilities, short-time evolution, and using low-energy consumption controls. Furthermore, we illustrate the flexibility of PINNs to solve the same problem under changes in physical parameters and initial conditions, showing advantages in comparison with standard control techniques.

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