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@INPROCEEDINGS{Vyas:1044979,
      author       = {Vyas, Kunal and Jin, Fengping and Michielsen, Kristel},
      title        = {{S}tudying the scaling behavior of quantum annealing to
                      find the ground-state of the 1{D} {H}ubbard model},
      reportid     = {FZJ-2025-03469},
      year         = {2025},
      abstract     = {The Fermi-Hubbard model has occupied the minds of condensed
                      matter physicists for most part of the last century. With a
                      simplistic form of the Hamiltonian, the model can
                      potentially provide explanation to interesting phenomena in
                      correlated electrons. The interest of our current work is
                      the model in one dimension. The one-dimensional
                      Fermi-Hubbard model has been extensively studied and there
                      exist analytical results for determining its ground-state
                      energy in the thermodynamic limit. We want to find the
                      ground-state from the perspective of quantum computing. In
                      particular, we employ the protocol of quantum annealing and
                      perform high performance simulations of the same using the
                      Juelich Quantum Computer Simulator (JUQCS) for systems with
                      upto 40 qubits. We learn that the time required to find the
                      ground-state would scale sublinearly with system size for
                      the half-filling cases considered.},
      month         = {Mar},
      date          = {2025-03-06},
      organization  = {NIC Symposium 2025, Jülich (Germany),
                       6 Mar 2025 - 7 Mar 2025},
      subtyp        = {After Call},
      cin          = {JSC},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {5111 - Domain-Specific Simulation $\&$ Data Life Cycle Labs
                      (SDLs) and Research Groups (POF4-511) / DFG project
                      G:(GEPRIS)397300368 - Dekohärenz und Relaxation in
                      Quantenspinclustern (397300368)},
      pid          = {G:(DE-HGF)POF4-5111 / G:(GEPRIS)397300368},
      typ          = {PUB:(DE-HGF)24},
      doi          = {10.34734/FZJ-2025-03469},
      url          = {https://juser.fz-juelich.de/record/1044979},
}