Precision tomography of a three-qubit electron-nuclear quantum processor in silicon

ORAL  · Invited

Abstract

Nuclear spins were among the first physical platforms to be considered for quantum information processing, because of their exceptional quantum coherence and atomic-scale footprint. However, their full potential for quantum computing has not yet been realized, due to the lack of methods to link nuclear qubits within a scalable device combined with multi-qubit operations with sufficient fidelity to sustain fault-tolerant quantum computation. Here we demonstrate universal quantum logic operations using a pair of ion-implanted 31P nuclei in a silicon nanoelectronic device. A nuclear two-qubit controlled-Z gate is obtained by imparting a geometric phase to a shared electron spin, and used to prepare entangled Bell states with fidelities up to 94.2(2.7)%. The quantum operations are precisely characterised using gate set tomography (GST) yielding one-qubit average gate fidelities up to 99.95(2)%, two-qubit average gate fidelity of 99.37(11)% and two-qubit preparation/measurement fidelities of 98.95(4)%. These three metrics indicate that nuclear spins in silicon are approaching the performance demanded in fault-tolerant quantum processors. We then demonstrate entanglement between the two nuclei and the shared electron by producing a Greenberger-Horne-Zeilinger three-qubit state with 92.5(1.0)% fidelity. Since electron spin qubits in semiconductors can be further coupled to other electrons or physically shuttled across different locations these results establish a viable route for scalable quantum information processing using nuclear spins.

Publication: Mądzik, Mateusz T., Asaad, Serwan, et al. "Precision tomography of a three-qubit electron-nuclear quantum processor in silicon." arXiv preprint arXiv:2106.03082 (2021).

Presenters

  • Mateusz T Madzik

    • Delft University of Technology
    • University of New South Wales
    • QuTech and Kavli Institute of Nanoscience, Delft University of Technology

Authors

  • Mateusz T Madzik

    • Delft University of Technology
    • University of New South Wales
    • QuTech and Kavli Institute of Nanoscience, Delft University of Technology
  • Serwan Asaad

    • University of New South Wales
  • Akram Youssry

    • University of Technology Sydney
  • Benjamin Joecker

    • University of New South Wales
  • Kenneth M Rudinger

    • Sandia National Laboratories
  • Erik Nielsen

    • Sandia National Laboratories
  • Kevin C Young

    • Sandia National Laboratories
  • Timothy J Proctor

    • Sandia National Laboratories
  • Andrew D Baczewski

    • Sandia National Laboratories
  • Arne Laucht

    • University of New South Wales
  • Vivien Schmitt

    • CEA grenoble
    • CEA Grenoble
    • University of New South Wales
  • Fay E Hudson

    • University of New South Wales
    • Centre for Quantum Computation and Communication Technology, School of Electrical Engineering and Telecommunications, UNSW Sydney, New South Wales 2052, Australia.
  • Kohei M Itoh

    • Keio Univ
    • School of Fundamental Science and Technology, Keio University, Kohoku-ku, Yokohama, Japan.
    • Keio University
  • Alexander M Jacob

    • School of Physics, University of Melbourne, Parkville VIC 3010, Australia
    • University of Melbourne
  • Brett C Johnson

    • University of Melbourne
  • David N Jamieson

    • School of Physics, University of Melbourne, Parkville VIC 3010, Australia
    • University of Melbourne
    • School of Physics, University of Melbourne, Melbourne, VIC 3010, Australia.
  • Andrew S Dzurak

    • University of New South Wales
    • Centre for Quantum Computation and Communication Technology, School of Electrical Engineering and Telecommunications, UNSW Sydney, New South Wales 2052, Australia.
  • Christopher Ferrie

    • University of Technology Sydney
  • Robin J Blume-Kohout

    • Sandia National Laboratories
  • Andrea Morello

    • School of Electrical Engineering and Telecommunications, UNSW Sydney, Sydney NSW 2052, Australia
    • School of Electrical Engineering and Telecommunications, UNSW Sydney
    • University of New South Wales
    • Centre for Quantum Computation and Communication Technology, School of Electrical Engineering and Telecommunications, UNSW Sydney, New South Wales 2052, Australia.