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@INPROCEEDINGS{Jin:1050204,
      author       = {Jin, Fengping},
      title        = {{F}inding the ground state of the 1{D} {H}ubbard {M}odel
                      using quantum annealing},
      reportid     = {FZJ-2026-00022},
      year         = {2025},
      abstract     = {We want to illustrate how to find the ground state of the
                      one-dimensional Hubbard model. We start by introducing the
                      classical algorithms that can do this, like exact
                      diagonalization, Lanczos algorithm and the Bethe-ansatz
                      equations. Subsequently, we show how to solve the problem on
                      a gate-based quantum computer using the quantum annealing
                      algorithm. The procedure involves transforming the fermionic
                      Hamiltonian using the Jordan-Wigner transformation,
                      preparing the initial state for quantum annealing using
                      Givens rotations, and constructing the circuit for the time
                      evolution according to the Schrodinger equation using the
                      second-order product-formula algorithm. We conclude by
                      presenting some results and analysis of performance for the
                      quantum annealing algorithm.},
      organization  = {JUQCA Day 2025, Jülich (Germany)},
      subtyp        = {Other},
      cin          = {JSC},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {5111 - Domain-Specific Simulation $\&$ Data Life Cycle Labs
                      (SDLs) and Research Groups (POF4-511)},
      pid          = {G:(DE-HGF)POF4-5111},
      typ          = {PUB:(DE-HGF)31},
      doi          = {10.34734/FZJ-2026-00022},
      url          = {https://juser.fz-juelich.de/record/1050204},
}