Variational quantum simulation of the Fermi-Hubbard model

ORAL

Abstract

Noisy intermediate-scale quantum devices have the potential to be useful for quantum simulation of materials. A prominent approach for near-term quantum simulation is based on variational quantum algorithms (VQAs). In this talk, we propose a VQA to prepare the groundstate of the Fermi-Hubbard model. In particular, we investigate various state-preparation circuits and benchmark their performance in presence of realistic noise. We find that Hamiltonian-inspired variational forms perform better than a hardware-efficient approach. This work constitutes a first step towards the simulation of strongly correlated fermionic systems.

*This work was undertaken thanks in part to funding from NSERC, FRQNT and the Canada First Research Excellence Fund.

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Presenters

  • Alexandre Choquette

    • Universite de Sherbrooke

Authors

  • Alexandre Choquette

    • Universite de Sherbrooke

  • Agustin Di Paolo

    • Institut quantique and Departement de Physique, Universite de Sherbrooke
    • Universite de Sherbrooke
    • Département de Physique, Université de Sherbrooke
    • Institut quantique & Département de Physique, Université de Sherbrooke
    • Institut Quantique and Departement de Physique, Universite de Sherbrooke, Sherbrooke, Canada
    • Institut quantique and Département de Physique, Universite de Sherbrooke

  • Panagiotis Barkoutsos

    • IBM Research - Zurich
    • IBM Research Zürich

  • David Senechal

    • Institut quantique and Departement de Physique, Universite de Sherbrooke
    • Université de Sherbrooke
    • Universite de Sherbrooke

  • Ivano Tavernelli

    • IBM Research - Zurich
    • IBM Research Zürich

  • Alexandre Blais

    • Universite de Sherbrooke
    • Institut quantique and Departement de Physique, Universite de Sherbrooke
    • Institut Quantique, Universite de Sherbrooke
    • Département de Physique, Université de Sherbrooke
    • Institut quantique & Département de Physique, Université de Sherbrooke
    • Institut Quantique and Departement de Physique, Universite de Sherbrooke, Sherbrooke, Canada
    • Institut quantique and Département de Physique, Universite de Sherbrooke