Optimal control of quantum thermal machines using machine learning

ORAL

Abstract

We develop a deep learning (DL) framework assisted by differentiable programming for discovery of optimal quantum control protocols under hard constraints. To that end, we use neural network representations to our protocols, whose learning process is done with exact gradients. We find high quality solutions to the optimization problem of finite-time thermodynamical process in a quantum thermal machine. Using this DL algorithm, we show that a previously employed, intuitive energetic cost of the thermal machine driving suffers from a fundamental flaw, which we resolve with an alternative construction for the cost function. Our DL-quantum control framework can be utilized to solve other quantum dynamics and thermodynamics problems.

*The work of IK was supported by the Centre for Quantum Information and Quantum Control (CQIQC) at the University of Toronto. JC acknowledges support from the Natural Sciences and Engineering Research Council of Canada (NSERC), the Shared Hierarchical Academic Research Computing Network (SHARCNET), Compute Canada, Google Quantum Research Award, and the Canadian Institute for Advanced Research (CIFAR) AI chair program, and companies sponsoring the Vector Institute.DS acknowledges support from an NSERC Discovery Grant and the Canada Research Chair program.

Publication: https://arxiv.org/abs/2108.12441

Presenters

  • Ilia Khait

    • Univ of Toronto

Authors

  • Ilia Khait

    • Univ of Toronto
  • Juan Carrasquilla

    • Vector Institute for Artificial Intelligence
  • Dvira Segal

    • University of Toronto