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Designing Filter Functions of Frequency-Modulated Pulses for High-Fidelity Two-Qubit Gates in Ion Chains

Mingyu Kang1,2,*, Ye Wang1,3,†, Chao Fang1,3, Bichen Zhang1,3, Omid Khosravani1,3, Jungsang Kim1,2,3,4, and Kenneth R. Brown1,2,3,5,‡

  • 1Duke Quantum Center, Duke University, Durham, North Carolina 27701, USA
  • 2Department of Physics, Duke University, Durham, North Carolina 27708, USA
  • 3Department of Electrical and Computer Engineering, Duke University, Durham, North Carolina 27708, USA
  • 4IonQ, Inc., College Park, Maryland 20740, USA
  • 5Department of Chemistry, Duke University, Durham, North Carolina 27708, USA

  • *mingyu.kang@duke.edu
  • †wang.ye.phy@gmail.com
  • ‡ken.brown@duke.edu
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Phys. Rev. Applied 19, 014014 – Published 5 January, 2023

DOI: https://doi.org/10.1103/PhysRevApplied.19.014014

Abstract

High-fidelity two-qubit gates in quantum computers are often hampered by fluctuating experimental parameters. The effects of time-varying parameter fluctuations lead to coherent noise on the qubits, which can be suppressed by designing control signals with appropriate filter functions. Here, we develop filter functions for Mølmer-Sørensen gates of trapped-ion quantum computers that accurately predict the change in gate error due to small parameter fluctuations at any frequency. We then design the filter functions of frequency-modulated laser pulses, and compare this method with pulses that are robust to static offsets of the motional-mode frequencies. Experimentally, we measure the noise spectrum of the motional modes and use it for designing the filter functions, which improves the gate fidelity from 99.23(7)% to 99.55(7)% in a five-ion chain.

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Phys. Rev. Applied 19, 014014– Published 5 January, 2023
  • Received 24 June 2022
  • Revised 22 November 2022
  • Accepted 8 December 2022
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