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Quantum Control of Rydberg Atoms for Mesoscopic Quantum State and Circuit Preparation

Valerio Crescimanna1,2,*,†, Jacob Taylor1,3,†, Aaron Z. Goldberg1,2, and Khabat Heshami1,2,4

  • 1National Research Council of Canada, 100 Sussex Drive, Ottawa, Ontario K1N 5A2, Canada
  • 2Department of Physics, University of Ottawa, 25 Templeton Street, Ottawa, Ontario K1N 6N5 Canada
  • 3Institute for Quantum Computing University of Waterloo, 200 University Avenue West, Waterloo, Ontario N2L 3G1, Canada
  • 4Institute for Quantum Science and Technology, Department of Physics and Astronomy, University of Calgary, Alberta T2N 1N4, Canada

  • *vcres052@uottawa.ca
  • †These authors contributed equally to this work.
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Phys. Rev. Applied 20, 034019 – Published 11 September, 2023

DOI: https://doi.org/10.1103/PhysRevApplied.20.034019

Abstract

Individually trapped Rydberg atoms show significant promise as a platform for scalable quantum simulation and for the development of programmable quantum computers. In particular, the Rydberg-blockade effect can be used to facilitate both fast qubit-qubit interactions and long coherence times via low-lying electronic states encoding the physical qubits. To bring existing Rydberg-atom-based platforms a step closer to fault-tolerant quantum computation, we demonstrate high-fidelity state and circuit preparation in a system of five atoms. We specifically show that quantum control can be used to reliably generate fully connected cluster states and to simulate the error-correction encoding circuit based on the “Perfect Quantum Error Correcting Code” by Laflamme et al. [Phys. Rev. Lett. 77, 198 (1996)]. Our results make these ideas and their implementation directly accessible to experiments and demonstrate a promising level of noise tolerance with respect to experimental errors. With this approach, we motivate the application of quantum control in small subsystems in combination with the standard gate-based quantum circuits for direct and high-fidelity implementation of few-qubit modules.

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Phys. Rev. Applied 20, 034019– Published 11 September, 2023
  • Received 6 February 2023
  • Revised 22 June 2023
  • Accepted 26 July 2023
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