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@ARTICLE{Mehta:1050205,
      author       = {Mehta, Vrinda and De Raedt, Hans and Michielsen, Kristel
                      and Jin, Fengping},
      title        = {{P}erformance of quantum annealing for 2-satisfiability
                      problems with multiple satisfying assignments},
      journal      = {Physical review / A},
      volume       = {112},
      number       = {1},
      issn         = {2469-9926},
      address      = {Woodbury, NY},
      publisher    = {Inst.},
      reportid     = {FZJ-2026-00023},
      pages        = {012405},
      year         = {2025},
      abstract     = {Using a specially constructed set of hard 2-satisfiability
                      problems with four satisfying assignments, we study the
                      scaling and sampling performance of numerical simulation of
                      quantum annealing as well as that of the physical quantum
                      annealers offered by D-Wave. To this end, we use both the
                      standard quantum annealing and reverse annealing protocols
                      in both our simulations and on the D-Wave quantum annealer.
                      In the case of ideal quantum annealing the sampling behavior
                      can be explained by perturbation theory and the scaling
                      behavior of the time to solution depends on the scaling
                      behavior of the minimum energy gap between the ground state
                      and the first-excited state of the annealing Hamiltonian.
                      The corresponding results from the D-Wave quantum annealers
                      do not fit to this ideal picture, but suggest that the
                      scaling of the time to solution from the quantum annealers
                      matches those calculated from the equilibrium probability
                      distribution.},
      cin          = {JSC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {5111 - Domain-Specific Simulation $\&$ Data Life Cycle Labs
                      (SDLs) and Research Groups (POF4-511) / EPIQ -
                      Entwicklungspartnerschaft Ionenfallen-Quantencomputer in NRW
                      (76.06.04.-000157)},
      pid          = {G:(DE-HGF)POF4-5111 / G:(DE-Juel-1)76.06.04.-000157},
      typ          = {PUB:(DE-HGF)16},
      doi          = {10.1103/n7r5-s63q},
      url          = {https://juser.fz-juelich.de/record/1050205},
}