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Characterization of control in a superconducting qutrit using randomized benchmarking

M. Kononenko1,2,*, M. A. Yurtalan1,2,†, S. Ren1,2, J. Shi1,2, S. Ashhab3,4, and A. Lupascu1,2,5,‡

  • 1Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
  • 2Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
  • 3Qatar Environment and Energy Research Institute, Hamad Bin Khalifa University, Qatar Foundation, Ar-Rayyan, Qatar
  • 4Advanced ICT Research Institute, National Institute of Information and Communications Technology (NICT), 4-2-1, Nukui-Kitamachi, Koganei, Tokyo 184-8795, Japan
  • 5Waterloo Institute for Nanotechnology, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1

  • *mkononen@uwaterloo.ca
  • †mayurtalan@uwaterloo.ca
  • ‡alupascu@uwaterloo.ca
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Phys. Rev. Research 3, L042007 – Published 22 October, 2021

DOI: https://doi.org/10.1103/PhysRevResearch.3.L042007

Abstract

We characterize control of a qutrit implemented in the lowest three energy levels of a capacitively shunted flux-biased superconducting circuit. Randomized benchmarking over the qutrit Clifford group yields an average fidelity of 98.89±0.05%. For a selected subset of the Clifford group, we perform quantum process tomography and observe the behavior of repeated gate sequences. Each qutrit gate is generated using only two-state rotations via a method applicable to any unitary. We find that errors are due primarily to decoherence and have a significant contribution from level shifts. This work demonstrates high-fidelity qutrit control and outlines avenues for future work on the optimal control of superconducting qudits.

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Phys. Rev. Research 3, L042007– Published 22 October, 2021
  • Received 6 September 2020
  • Revised 10 September 2021
  • Accepted 14 September 2021
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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