Theory of coherent electron shuttling using pre-defined and moving quantum dots in Si

ORAL

Abstract

Coherent electron shuttling can improve design of scalable quantum computers [1]. We have identified challenges in two shuttling modes: Bucket Brigade (BB) and Conveyor Belt (CB). In BB, the electron is moved using sequential dot-to-dot adiabatic transition. By considering realistic environment of Si QDs, we have found single transition error to be non-monotonic function of sweep rate. We have found an optimal sweep rate, at which transfer fidelity can exceed 99.9%, provided tunnel-coupling induced gap at zero detuning tc>30μeV [2,3]. However having uniform tc in long QDs array might be hard to achieve.

In contrast in CB mode, 4-terminal gates are proven to generate stable and deep moving potential, even in presence of typical electrostatic disorder [4,5]. With high-fidelity charge transfer, we have analyzed the spin dynamics and predicted 99.9% fidelity of coherent transfer over 10μm at ≈10 m/s electron velocity. The remaining error is attributed to spin dephasing, which is activated by: valley excitations on atomistic disorder and spatially dependent fluctuations of spin splitting from nuclear spins or charge noise.

[1] J.M. Boter et al., Phys. Rev. App. 18, 024053 (2022)

[2] J.A.K, L. Cywinski, Phys. Rev. B 101, 035303 (2020)

[3] J.A.K, L. Cywinski, Phys. Rev. B 104, 075439 (2021)

[4] I. Seidler et al., npj Quantum Information 8, 100 (2021)

[5] V. Langrock, J.A.K et al., arXiv:2202.11793

*This his work has been funded by the National Science Centre (NCN), Poland under QuantERA program, Grant No. 2017/25/Z/ST3/03044. J.A.K. additionally ackonwladge initial funding from ETIUDA doctoral scholarship, Grant No. 2020/36/T/ST3/00569 and funding from PRELUDIUM grant, Grant No. 2021/41/N/ST3/02758

Publication: J.A.K, L. Cywinski, Phys. Rev. B 101, 035303 (2020)
J.A.K, L. Cywinski, Phys. Rev. B 104, 075439 (2021)
V. Langrock, J.A.K et al., arXiv:2202.11793 (2022)
J.A.K, L. Cywinski, "Theory of coherent electron transfer between two semicductor quantum dots", in preparation.

Presenters

  • Jan A Krzywda

    • Polish Academy of Sciences
    • Institute of Physics Polish Academy of Sciences

Authors

  • Jan A Krzywda

    • Polish Academy of Sciences
    • Institute of Physics Polish Academy of Sciences
  • Lukasz Cywinski

    • Institute of Physics Polish Academy of Sciences