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Tomography of entangling two-qubit logic operations in exchange-coupled donor electron spin qubits

Author

Listed:
  • Holly G. Stemp

    (UNSW Sydney
    ARC Centre of Excellence for Quantum Computation and Communication Technology)

  • Serwan Asaad

    (UNSW Sydney
    ARC Centre of Excellence for Quantum Computation and Communication Technology
    Quantum Machines)

  • Mark R. van Blankenstein

    (UNSW Sydney
    ARC Centre of Excellence for Quantum Computation and Communication Technology)

  • Arjen Vaartjes

    (UNSW Sydney
    ARC Centre of Excellence for Quantum Computation and Communication Technology)

  • Mark A. I. Johnson

    (UNSW Sydney
    ARC Centre of Excellence for Quantum Computation and Communication Technology
    Quantum Motion)

  • Mateusz T. Mądzik

    (UNSW Sydney
    ARC Centre of Excellence for Quantum Computation and Communication Technology
    Intel Corporation Hillsboro)

  • Amber J. A. Heskes

    (UNSW Sydney
    ARC Centre of Excellence for Quantum Computation and Communication Technology
    University of Twente)

  • Hannes R. Firgau

    (UNSW Sydney
    ARC Centre of Excellence for Quantum Computation and Communication Technology)

  • Rocky Y. Su

    (UNSW Sydney)

  • Chih Hwan Yang

    (UNSW Sydney
    Diraq Pty. Ltd.)

  • Arne Laucht

    (UNSW Sydney
    Diraq Pty. Ltd.)

  • Corey I. Ostrove

    (Sandia National Laboratories)

  • Kenneth M. Rudinger

    (Sandia National Laboratories)

  • Kevin Young

    (Sandia National Laboratories)

  • Robin Blume-Kohout

    (Sandia National Laboratories)

  • Fay E. Hudson

    (UNSW Sydney
    Diraq Pty. Ltd.)

  • Andrew S. Dzurak

    (UNSW Sydney
    Diraq Pty. Ltd.)

  • Kohei M. Itoh

    (Keio University, Kohoku-ku)

  • Alexander M. Jakob

    (ARC Centre of Excellence for Quantum Computation and Communication Technology
    University of Melbourne)

  • Brett C. Johnson

    (RMIT University)

  • David N. Jamieson

    (ARC Centre of Excellence for Quantum Computation and Communication Technology
    University of Melbourne)

  • Andrea Morello

    (UNSW Sydney
    ARC Centre of Excellence for Quantum Computation and Communication Technology)

Abstract

Scalable quantum processors require high-fidelity universal quantum logic operations in a manufacturable physical platform. Donors in silicon provide atomic size, excellent quantum coherence and compatibility with standard semiconductor processing, but no entanglement between donor-bound electron spins has been demonstrated to date. Here we present the experimental demonstration and tomography of universal one- and two-qubit gates in a system of two weakly exchange-coupled electrons, bound to single phosphorus donors introduced in silicon by ion implantation. We observe that the exchange interaction has no effect on the qubit coherence. We quantify the fidelity of the quantum operations using gate set tomography (GST), and we use the universal gate set to create entangled Bell states of the electrons spins, with fidelity 91.3 ± 3.0%, and concurrence 0.87 ± 0.05. These results form the necessary basis for scaling up donor-based quantum computers.

Suggested Citation

  • 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.
    • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-52795-4
    DOI: 10.1038/s41467-024-52795-4
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    as
    1. C. A. Sackett & D. Kielpinski & B. E. King & C. Langer & V. Meyer & C. J. Myatt & M. Rowe & Q. A. Turchette & W. M. Itano & D. J. Wineland & C. Monroe, 2000. "Experimental entanglement of four particles," Nature, Nature, vol. 404(6775), pages 256-259, March.
    2. B. Voisin & J. Bocquel & A. Tankasala & M. Usman & J. Salfi & R. Rahman & M. Y. Simmons & L. C. L. Hollenberg & S. Rogge, 2020. "Valley interference and spin exchange at the atomic scale in silicon," Nature Communications, Nature, vol. 11(1), pages 1-11, December.
    3. J. M. Elzerman & R. Hanson & L. H. Willems van Beveren & B. Witkamp & L. M. K. Vandersypen & L. P. Kouwenhoven, 2004. "Single-shot read-out of an individual electron spin in a quantum dot," Nature, Nature, vol. 430(6998), pages 431-435, July.
    4. 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.
    5. Wei Cao & Huiming Bu & Maud Vinet & Min Cao & Shinichi Takagi & Sungwoo Hwang & Tahir Ghani & Kaustav Banerjee, 2023. "The future transistors," Nature, Nature, vol. 620(7974), pages 501-515, August.
    6. Jarryd J. Pla & Kuan Y. Tan & Juan P. Dehollain & Wee H. Lim & John J. L. Morton & David N. Jamieson & Andrew S. Dzurak & Andrea Morello, 2012. "A single-atom electron spin qubit in silicon," Nature, Nature, vol. 489(7417), pages 541-545, September.
    7. Andrea Morello & Jarryd J. Pla & Floris A. Zwanenburg & Kok W. Chan & Kuan Y. Tan & Hans Huebl & Mikko Möttönen & Christopher D. Nugroho & Changyi Yang & Jessica A. van Donkelaar & Andrew D. C. Alves , 2010. "Single-shot readout of an electron spin in silicon," Nature, Nature, vol. 467(7316), pages 687-691, October.
    8. Wei Cao & Huiming Bu & Maud Vinet & Min Cao & Shinichi Takagi & Sungwoo Hwang & Tahir Ghani & Kaustav Banerjee, 2023. "Publisher Correction: The future transistors," Nature, Nature, vol. 621(7979), pages 43-43, September.
    9. W. Huang & C. H. Yang & K. W. Chan & T. Tanttu & B. Hensen & R. C. C. Leon & M. A. Fogarty & J. C. C. Hwang & F. E. Hudson & K. M. Itoh & A. Morello & A. Laucht & A. S. Dzurak, 2019. "Fidelity benchmarks for two-qubit gates in silicon," Nature, Nature, vol. 569(7757), pages 532-536, May.
    10. Patrick Harvey-Collard & N. Tobias Jacobson & Martin Rudolph & Jason Dominguez & Gregory A. Ten Eyck & Joel R. Wendt & Tammy Pluym & John King Gamble & Michael P. Lilly & Michel Pioro-Ladrière & Malco, 2017. "Coherent coupling between a quantum dot and a donor in silicon," Nature Communications, Nature, vol. 8(1), pages 1-6, December.
    11. 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.
    12. M. Veldhorst & C. H. Yang & J. C. C. Hwang & W. Huang & J. P. Dehollain & J. T. Muhonen & S. Simmons & A. Laucht & F. E. Hudson & K. M. Itoh & A. Morello & A. S. Dzurak, 2015. "A two-qubit logic gate in silicon," Nature, Nature, vol. 526(7573), pages 410-414, October.
    13. B. M. Maune & M. G. Borselli & B. Huang & T. D. Ladd & P. W. Deelman & K. S. Holabird & A. A. Kiselev & I. Alvarado-Rodriguez & R. S. Ross & A. E. Schmitz & M. Sokolich & C. A. Watson & M. F. Gyure & , 2012. "Coherent singlet-triplet oscillations in a silicon-based double quantum dot," Nature, Nature, vol. 481(7381), pages 344-347, January.
    14. Mateusz T. Ma̧dzik & Arne Laucht & Fay E. Hudson & Alexander M. Jakob & Brett C. Johnson & David N. Jamieson & Kohei M. Itoh & Andrew S. Dzurak & Andrea Morello, 2021. "Conditional quantum operation of two exchange-coupled single-donor spin qubits in a MOS-compatible silicon device," Nature Communications, Nature, vol. 12(1), pages 1-8, December.
    15. B. E. Kane, 1998. "A silicon-based nuclear spin quantum computer," Nature, Nature, vol. 393(6681), pages 133-137, May.
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