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QI: Fachverband Quanteninformation
QI 2: Implementations I
QI 2.8: Vortrag
Montag, 9. März 2026, 12:00–12:15, BEY/0245
Towards measurement based quantum computation with multipods — Claire Benjamin1,2, Dániel Varjas3,4, Gábor Széchenyi5,6, Judit Romhányi1, and •László Oroszlány2,6 — 1Department of Physics and Astronomy, University of California, Irvine — 2Department of Physics of Complex Systems, Eötvös Loránd University — 3Department of Theoretical Physics, Institute of Physics, Budapest University of Technology and Economics — 4Institute for Theoretical Solid State Physics, IFW Dresden and Würzburg-Dresden Cluster of Excellence; — 5Department of Materials Physics, ELTE Eötvös Loránd University — 6HUN-REN Wigner Research Centre for Physics
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.
Keywords: measurement based quantum computation; AKLT model; Hubbard model; exact diagonalization