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A two-qubit gate between phosphorus donor electrons in silicon

Author

Listed:
  • Y. He

    (University of New South Wales)

  • S. K. Gorman

    (University of New South Wales)

  • D. Keith

    (University of New South Wales)

  • L. Kranz

    (University of New South Wales)

  • J. G. Keizer

    (University of New South Wales)

  • M. Y. Simmons

    (University of New South Wales)

Abstract

Electron spin qubits formed by atoms in silicon have large (tens of millielectronvolts) orbital energies and weak spin–orbit coupling, giving rise to isolated electron spin ground states with coherence times of seconds1,2. High-fidelity (more than 99.9 per cent) coherent control of such qubits has been demonstrated3, promising an attractive platform for quantum computing. However, inter-qubit coupling—which is essential for realizing large-scale circuits in atom-based qubits—has not yet been achieved. Exchange interactions between electron spins4,5 promise fast (gigahertz) gate operations with two-qubit gates, as recently demonstrated in gate-defined silicon quantum dots6–10. However, creating a tunable exchange interaction between two electrons bound to phosphorus atom qubits has not been possible until now. This is because it is difficult to determine the atomic distance required to turn the exchange interaction on and off while aligning the atomic circuitry for high-fidelity, independent spin readout. Here we report a fast (about 800 picoseconds) $$\sqrt{{\bf{SWAP}}}$$ SWAP two-qubit exchange gate between phosphorus donor electron spin qubits in silicon using independent single-shot spin readout with a readout fidelity of about 94 per cent on a complete set of basis states. By engineering qubit placement on the atomic scale, we provide a route to the realization and efficient characterization of multi-qubit quantum circuits based on donor qubits in silicon.

Suggested Citation

  • Y. He & S. K. Gorman & D. Keith & L. Kranz & J. G. Keizer & M. Y. Simmons, 2019. "A two-qubit gate between phosphorus donor electrons in silicon," Nature, Nature, vol. 571(7765), pages 371-375, July.
  • Handle: RePEc:nat:nature:v:571:y:2019:i:7765:d:10.1038_s41586-019-1381-2
    DOI: 10.1038/s41586-019-1381-2
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    Cited by:

    1. 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.
    2. Yi Liu & Johan V. Knutsson & Nathaniel Wilson & Elliot Young & Sebastian Lehmann & Kimberly A. Dick & Chris J. Palmstrøm & Anders Mikkelsen & Rainer Timm, 2021. "Self-selective formation of ordered 1D and 2D GaBi structures on wurtzite GaAs nanowire surfaces," Nature Communications, Nature, vol. 12(1), pages 1-7, December.
    3. Skavysh, Vladimir & Priazhkina, Sofia & Guala, Diego & Bromley, Thomas R., 2023. "Quantum monte carlo for economics: Stress testing and macroeconomic deep learning," Journal of Economic Dynamics and Control, Elsevier, vol. 153(C).
    4. Elliot J. Connors & J. Nelson & Lisa F. Edge & John M. Nichol, 2022. "Charge-noise spectroscopy of Si/SiGe quantum dots via dynamically-decoupled exchange oscillations," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    5. Ingvild Hansen & Amanda E. Seedhouse & Santiago Serrano & Andreas Nickl & MengKe Feng & Jonathan Y. Huang & Tuomo Tanttu & Nard Dumoulin Stuyck & Wee Han Lim & Fay E. Hudson & Kohei M. Itoh & Andre Sa, 2024. "Entangling gates on degenerate spin qubits dressed by a global field," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    6. L. Banszerus & K. Hecker & S. Möller & E. Icking & K. Watanabe & T. Taniguchi & C. Volk & C. Stampfer, 2022. "Spin relaxation in a single-electron graphene quantum dot," Nature Communications, Nature, vol. 13(1), pages 1-6, December.
    7. Alessandra Di Gaspare & Chao Song & Chiara Schiattarella & Lianhe H. Li & Mohammed Salih & A. Giles Davies & Edmund H. Linfield & Jincan Zhang & Osman Balci & Andrea C. Ferrari & Sukhdeep Dhillon & Mi, 2024. "Compact terahertz harmonic generation in the Reststrahlenband using a graphene-embedded metallic split ring resonator array," Nature Communications, Nature, vol. 15(1), pages 1-10, December.
    8. Xiqiao Wang & Ehsan Khatami & Fan Fei & Jonathan Wyrick & Pradeep Namboodiri & Ranjit Kashid & Albert F. Rigosi & Garnett Bryant & Richard Silver, 2022. "Experimental realization of an extended Fermi-Hubbard model using a 2D lattice of dopant-based quantum dots," Nature Communications, Nature, vol. 13(1), pages 1-12, December.

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