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Demonstration and benchmarking of electron and nuclear 2-qubit logic gates with implanted donors in silicon

Invited

Abstract

Ion-implanted 31P donors in silicon have attained 1-qubit gate fidelities >99.9% [1].
Here we present the realization of a 2-qubit CNOT gate between weakly J-coupled electron spins, deploying our proposal of using the nuclear spins to detune the individual qubit frequencies [2].
In a second experiment we realize a nuclear 2-qubit CNOT gate using a two-donor cluster where both 31P nuclei are hyperfine-coupled to the same electron. The CNOT gate is obtained by perfoming a CZ gate via a geometric phase imparted through a 2π rotation of the electron, preceded and followed by π/2 gates on one of the nuclei [3]. Gate-Set Tomography benchmarks the fidelity of this universal gate set, which approaches the threshold for fault-tolerant quantum error correction.

[1] J. Dehollain et al., New J. Phys. 18, 103018 (2016)
[2] R. Kalra et al., Phys. Rev. X 4, 021044 (2014)
[3] V. Filidou et al., Nat. Phys. 8, 596 (2012)

Presenters

  • Andrea Morello

    Center for Quantum Computation and Communication Technology, University of New South Wales, UNSW Sydney, Univ of New South Wales, University of New South Wales

Authors

  • Andrea Morello

    Center for Quantum Computation and Communication Technology, University of New South Wales, UNSW Sydney, Univ of New South Wales, University of New South Wales