Measurement-based quantum computation with Hubbard-star multipods

ORAL

Abstract

We propose a Hubbard-star construction at half filling as a route to realizing Affleck-Kennedy-Lieb-Tasaki (AKLT) physics. By connecting star-shaped clusters of quantum dots, we derive low-energy effective Hamiltonians that reproduce the S=1 and S=3/2 AKLT models. Using exact diagonalization and quasi-degenerate perturbation theory, we identify the coupling regimes in 

which these models emerge. Since AKLT ground states are known resources for measurement-based quantum computation, our scheme offers a feasible path toward quantum computational phases in recently fabricated, highly tunable quantum dot arrays. 

*This work was supported by the Ministry of Culture and Innovation and the National Research, Development and Innovation Office within the Quantum Information National Laboratory of Hungary (Grant No. 2022-2.1.1-NL-2022-00004), National Research, Development and Innovation Office (NKFIH) through Grant No FK 146499, and the Janos Bolyai Research Scholarship of the Hungarian Academy of Sciences. This project is supported by the TRILMAX Horizon Europe consortium (Grant No. 101159646).

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Presenters

  • Claire Benjamin

    • University of California, Irvine

Authors

  • Claire Benjamin

    • University of California, Irvine

  • Judit Romhanyi

    • University of California, Irvine

  • Laszlo Oroszlany

    • Eotvos Lorand University

  • Daniel Varjas

    • Budapest University of Technology and Economics

  • Gábor Széchenyi

    • ELTE Eötvös Loránd University and HUN-REN Wigner Research Centre for Physics
    • Eotvos Lorand University, Budapest, Hungary