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  • Letter

Breaking adiabatic quantum control with deep learning

Yongcheng Ding1,2,*, Yue Ban2,3, José D. Martín-Guerrero4,†, Enrique Solano1,2,5,6, Jorge Casanova2,5,‡, and Xi Chen1,2,§

  • 1International Center of Quantum Artificial Intelligence for Science and Technology (QuArtist) and Department of Physics, Shanghai University, 200444 Shanghai, China
  • 2Department of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, 48080 Bilbao, Spain
  • 3College of Materials Science and Engineering, Shanghai University, 200444 Shanghai, China
  • 4IDAL, Electronic Engineering Department, University of Valencia, Avgda. Universitat s/n, 46100 Burjassot, Valencia, Spain
  • 5IKERBASQUE, Basque Foundation for Science, Plaza Euskadi 5, 48009 Bilbao, Spain
  • 6IQM, Nymphenburgerstrasse 86, 80636 Munich, Germany

  • *jonzen.ding@gmail.com
  • †jose.d.martin@uv.es
  • ‡jcasanovamar@gmail.com
  • §xchen@shu.edu.cn

Phys. Rev. A 103, L040401 – Published 9 April, 2021

DOI: https://doi.org/10.1103/PhysRevA.103.L040401

Abstract

In the noisy intermediate-scale quantum era, optimal digitized pulses are requisite for efficient quantum control. This goal is translated into dynamic programming, in which a deep reinforcement learning (DRL) agent is gifted. As a reference, shortcuts to adiabaticity (STA) provide analytical approaches to adiabatic speedup by pulse control. Here, we select the single-component control of qubits, resembling the ubiquitous two-level Landau-Zener problem for gate operation. We aim at obtaining fast and robust digital pulses by combining the STA and DRL algorithm. In particular, we find that DRL leads to robust digital quantum control with the operation time bounded by quantum speed limits dictated by STA. In addition, we demonstrate that robustness against systematic errors can be achieved by DRL without any input from STA. Our results introduce a general framework of digital quantum control, leading to a promising enhancement in quantum information processing.

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