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Repeated quantum error correction on a continuously encoded qubit by real-time feedback

Author

Listed:
  • J. Cramer

    (QuTech, Delft University of Technology
    Kavli Institute of Nanoscience, Delft University of Technology)

  • N. Kalb

    (QuTech, Delft University of Technology
    Kavli Institute of Nanoscience, Delft University of Technology)

  • M. A. Rol

    (QuTech, Delft University of Technology
    Kavli Institute of Nanoscience, Delft University of Technology)

  • B. Hensen

    (QuTech, Delft University of Technology
    Kavli Institute of Nanoscience, Delft University of Technology)

  • M. S. Blok

    (QuTech, Delft University of Technology
    Kavli Institute of Nanoscience, Delft University of Technology)

  • M. Markham

    (Element Six Innovation, Fermi Avenue, Harwell Oxford)

  • D. J. Twitchen

    (Element Six Innovation, Fermi Avenue, Harwell Oxford)

  • R. Hanson

    (QuTech, Delft University of Technology
    Kavli Institute of Nanoscience, Delft University of Technology)

  • T. H. Taminiau

    (QuTech, Delft University of Technology
    Kavli Institute of Nanoscience, Delft University of Technology)

Abstract

Reliable quantum information processing in the face of errors is a major fundamental and technological challenge. Quantum error correction protects quantum states by encoding a logical quantum bit (qubit) in multiple physical qubits. To be compatible with universal fault-tolerant computations, it is essential that states remain encoded at all times and that errors are actively corrected. Here we demonstrate such active error correction on a continuously protected logical qubit using a diamond quantum processor. We encode the logical qubit in three long-lived nuclear spins, repeatedly detect phase errors by non-destructive measurements, and apply corrections by real-time feedback. The actively error-corrected qubit is robust against errors and encoded quantum superposition states are preserved beyond the natural dephasing time of the best physical qubit in the encoding. These results establish a powerful platform to investigate error correction under different types of noise and mark an important step towards fault-tolerant quantum information processing.

Suggested Citation

  • J. Cramer & N. Kalb & M. A. Rol & B. Hensen & M. S. Blok & M. Markham & D. J. Twitchen & R. Hanson & T. H. Taminiau, 2016. "Repeated quantum error correction on a continuously encoded qubit by real-time feedback," Nature Communications, Nature, vol. 7(1), pages 1-7, September.
    • Handle: RePEc:nat:natcom:v:7:y:2016:i:1:d:10.1038_ncomms11526
    DOI: 10.1038/ncomms11526
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    Cited by:

    1. Ziqian Li & Tanay Roy & David Rodríguez Pérez & Kan-Heng Lee & Eliot Kapit & David I. Schuster, 2024. "Autonomous error correction of a single logical qubit using two transmons," Nature Communications, Nature, vol. 15(1), pages 1-6, December.
    2. William P. Livingston & Machiel S. Blok & Emmanuel Flurin & Justin Dressel & Andrew N. Jordan & Irfan Siddiqi, 2022. "Experimental demonstration of continuous quantum error correction," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    3. Pasquale Cilibrizzi & Muhammad Junaid Arshad & Benedikt Tissot & Nguyen Tien Son & Ivan G. Ivanov & Thomas Astner & Philipp Koller & Misagh Ghezellou & Jawad Ul-Hassan & Daniel White & Christiaan Bekk, 2023. "Ultra-narrow inhomogeneous spectral distribution of telecom-wavelength vanadium centres in isotopically-enriched silicon carbide," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    4. Fabrizio Berritta & Torbjørn Rasmussen & Jan A. Krzywda & Joost Heijden & Federico Fedele & Saeed Fallahi & Geoffrey C. Gardner & Michael J. Manfra & Evert Nieuwenburg & Jeroen Danon & Anasua Chatterj, 2024. "Real-time two-axis control of a spin qubit," Nature Communications, Nature, vol. 15(1), pages 1-9, December.

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