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@ARTICLE{Bode:1030617,
      author       = {Bode, Tim and Wilhelm, Frank K.},
      title        = {{A}diabatic bottlenecks in quantum annealing and
                      nonequilibrium dynamics of paramagnons},
      journal      = {Physical review / A},
      volume       = {110},
      number       = {1},
      issn         = {2469-9926},
      address      = {Woodbury, NY},
      publisher    = {Inst.},
      reportid     = {FZJ-2024-05350},
      pages        = {012611},
      year         = {2024},
      abstract     = {The correspondence between long-range interacting quantum
                      spin glasses and combinatorial optimization problems
                      underpins the physical motivation for adiabatic quantum
                      computing. On one hand, in disordered (quantum) spin
                      systems, the focus is on exact methods such as the replica
                      trick that allow the calculation of system quantities in the
                      limit of infinite system and ensemble size. On the other
                      hand, when solving a given instance of an optimization
                      problem, disorder-averaged quantities are of no relevance,
                      as one is solely interested in instance-specific,
                      finite-size properties, in particular the optimal solution.
                      Here, we apply the nonequilibrium Green's function formalism
                      to the spin coherent-state path integral to obtain the
                      statistical fluctuations and the collective-excitation
                      spectrum along the annealing path. For the example of the
                      quantum Sherrington-Kirkpatrick spin glass, by comparing to
                      extensive numerically exact results, we show that this
                      method provides access to the instance-specific bottlenecks
                      of the annealing protocol.},
      cin          = {PGI-12},
      ddc          = {530},
      cid          = {I:(DE-Juel1)PGI-12-20200716},
      pnm          = {5223 - Quantum-Computer Control Systems and Cryoelectronics
                      (POF4-522)},
      pid          = {G:(DE-HGF)POF4-5223},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:001267517200009},
      doi          = {10.1103/PhysRevA.110.012611},
      url          = {https://juser.fz-juelich.de/record/1030617},
}