Quantum Annealing for the Fermi-Hubbard Model

ORAL

Abstract

Recently, a compact fermion to qubit encoding for the Fermi-Hubbard model (FHM) on a square lattice was proposed [1]. The encoding uses at most terms of Pauli weight-3 with an additional feature of low qubit to fermionic mode ratio. Studying a 2D square lattice, we propose a quantum annealing protocol using this compact encoding to access the Fermi-Hubbard model ground state. We show with numerical simulation that for both interacting 2D spinless and spinful systems we are able to achieve low energy states for reasonable total annealing times. This setup provides a promising path for future analog quantum computing platforms to simulate FHMs.

[1] Derby, Klassen, Bausch, Cubitt, Phys. Rev. B 104, 035118

*We are grateful for support from NASA Ames Research Center and for support from the U.S. Department of Energy, Office of Science, National Quantum Information Science Research Centers, Co-Design Center for Quantum Advantage (C2QA) under contract number DE-SC0012704 through the NASA-DOE interagency agreement SAA2-403601.

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Presenters

  • Ryan Levy

    • UIUC, QuAIL, USRA, NASA
    • University of Illinois at Urbana-Champai

Authors

  • Ryan Levy

    • UIUC, QuAIL, USRA, NASA
    • University of Illinois at Urbana-Champai

  • Zoe Gonzalez Izquierdo

    • QuAIL, USRA, NASA

  • Zhihui Wang

    • USRA; Quantum Artificial Intelligence Laboratory (QuAIL), NASA Ames Research Center
    • QuAIL, USRA, NASA

  • Eleanor G Rieffel

    • NASA Ames Research Center
    • Quantum Artificial Intelligence Laboratory (QuAIL), NASA Ames Research Center
    • QuAIL, NASA

  • Filip A Wudarski

    • NASA Ames Research Center
    • QuAIL, USRA, NASA