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Fast universal quantum gate above the fault-tolerance threshold in silicon

Author

Listed:
  • Akito Noiri

    (RIKEN Center for Emergent Matter Science (CEMS))

  • Kenta Takeda

    (RIKEN Center for Emergent Matter Science (CEMS))

  • Takashi Nakajima

    (RIKEN Center for Emergent Matter Science (CEMS))

  • Takashi Kobayashi

    (RIKEN Center for Quantum Computing (RQC))

  • Amir Sammak

    (QuTech, Delft University of Technology
    Netherlands Organisation for Applied Scientific Research (TNO))

  • Giordano Scappucci

    (QuTech, Delft University of Technology
    Delft University of Technology)

  • Seigo Tarucha

    (RIKEN Center for Emergent Matter Science (CEMS)
    RIKEN Center for Quantum Computing (RQC))

Abstract

Fault-tolerant quantum computers that can solve hard problems rely on quantum error correction1. One of the most promising error correction codes is the surface code2, which requires universal gate fidelities exceeding an error correction threshold of 99 per cent3. Among the many qubit platforms, only superconducting circuits4, trapped ions5 and nitrogen-vacancy centres in diamond6 have delivered this requirement. Electron spin qubits in silicon7–15 are particularly promising for a large-scale quantum computer owing to their nanofabrication capability, but the two-qubit gate fidelity has been limited to 98 per cent owing to the slow operation16. Here we demonstrate a two-qubit gate fidelity of 99.5 per cent, along with single-qubit gate fidelities of 99.8 per cent, in silicon spin qubits by fast electrical control using a micromagnet-induced gradient field and a tunable two-qubit coupling. We identify the qubit rotation speed and coupling strength where we robustly achieve high-fidelity gates. We realize Deutsch–Jozsa and Grover search algorithms with high success rates using our universal gate set. Our results demonstrate universal gate fidelity beyond the fault-tolerance threshold and may enable scalable silicon quantum computers.

Suggested Citation

  • Akito Noiri & Kenta Takeda & Takashi Nakajima & Takashi Kobayashi & Amir Sammak & Giordano Scappucci & Seigo Tarucha, 2022. "Fast universal quantum gate above the fault-tolerance threshold in silicon," Nature, Nature, vol. 601(7893), pages 338-342, January.
  • Handle: RePEc:nat:nature:v:601:y:2022:i:7893:d:10.1038_s41586-021-04182-y
    DOI: 10.1038/s41586-021-04182-y
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    Citations

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    Cited by:

    1. Jesús D. Cifuentes & Tuomo Tanttu & Will Gilbert & Jonathan Y. Huang & Ensar Vahapoglu & Ross C. C. Leon & Santiago Serrano & Dennis Otter & Daniel Dunmore & Philip Y. Mai & Frédéric Schlattner & Meng, 2024. "Bounds to electron spin qubit variability for scalable CMOS architectures," Nature Communications, Nature, vol. 15(1), pages 1-14, December.
    2. Tom Struck & Mats Volmer & Lino Visser & Tobias Offermann & Ran Xue & Jhih-Sian Tu & Stefan Trellenkamp & Łukasz Cywiński & Hendrik Bluhm & Lars R. Schreiber, 2024. "Spin-EPR-pair separation by conveyor-mode single electron shuttling in Si/SiGe," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    3. Holly G. Stemp & Serwan Asaad & Mark R. van Blankenstein & Arjen Vaartjes & Mark A. I. Johnson & Mateusz T. Mądzik & Amber J. A. Heskes & Hannes R. Firgau & Rocky Y. Su & Chih Hwan Yang & Arne Laucht , 2024. "Tomography of entangling two-qubit logic operations in exchange-coupled donor electron spin qubits," Nature Communications, Nature, vol. 15(1), pages 1-10, December.
    4. Sitan Chen & Jordan Cotler & Hsin-Yuan Huang & Jerry Li, 2023. "The complexity of NISQ," Nature Communications, Nature, vol. 14(1), pages 1-6, December.
    5. Matthias Künne & Alexander Willmes & Max Oberländer & Christian Gorjaew & Julian D. Teske & Harsh Bhardwaj & Max Beer & Eugen Kammerloher & René Otten & Inga Seidler & Ran Xue & Lars R. Schreiber & He, 2024. "The SpinBus architecture for scaling spin qubits with electron shuttling," Nature Communications, Nature, vol. 15(1), pages 1-11, December.
    6. 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.
    7. Brian Paquelet Wuetz & Davide Degli Esposti & Anne-Marije J. Zwerver & Sergey V. Amitonov & Marc Botifoll & Jordi Arbiol & Amir Sammak & Lieven M. K. Vandersypen & Maximilian Russ & Giordano Scappucci, 2023. "Reducing charge noise in quantum dots by using thin silicon quantum wells," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    8. Akito Noiri & Kenta Takeda & Takashi Nakajima & Takashi Kobayashi & Amir Sammak & Giordano Scappucci & Seigo Tarucha, 2022. "A shuttling-based two-qubit logic gate for linking distant silicon quantum processors," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    9. Brian Paquelet Wuetz & Merritt P. Losert & Sebastian Koelling & Lucas E. A. Stehouwer & Anne-Marije J. Zwerver & Stephan G. J. Philips & Mateusz T. Mądzik & Xiao Xue & Guoji Zheng & Mario Lodari & Ser, 2022. "Atomic fluctuations lifting the energy degeneracy in Si/SiGe quantum dots," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    10. Ran Xue & Max Beer & Inga Seidler & Simon Humpohl & Jhih-Sian Tu & Stefan Trellenkamp & Tom Struck & Hendrik Bluhm & Lars R. Schreiber, 2024. "Si/SiGe QuBus for single electron information-processing devices with memory and micron-scale connectivity function," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    11. Floor Riggelen-Doelman & Chien-An Wang & Sander L. Snoo & William I. L. Lawrie & Nico W. Hendrickx & Maximilian Rimbach-Russ & Amir Sammak & Giordano Scappucci & Corentin Déprez & Menno Veldhorst, 2024. "Coherent spin qubit shuttling through germanium quantum dots," Nature Communications, Nature, vol. 15(1), pages 1-9, December.

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