Measurement-based quantum computation with Hubbard-star multipods

Oral-In-person

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. 

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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

    • Stockholm Univ

  • Gábor Széchenyi