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@ARTICLE{Robin:363896,
      author       = {Robin, Caroline Elisa Pauline},
      title        = {{S}tabilizer-accelerated quantum many-body ground-state
                      estimation},
      journal      = {Physical review / A},
      volume       = {112},
      number       = {5},
      issn         = {2469-9926},
      address      = {Woodbury, NY},
      publisher    = {Inst.},
      reportid     = {GSI-2026-00100},
      pages        = {052408},
      year         = {2025},
      note         = {"Published by the American Physical Society under the terms
                      of the Creative Commons Attribution 4.0 International
                      license. Further distribution of this work must maintain
                      attribution to the author(s) and the published article’s
                      title, journal citation, and DOI."},
      abstract     = {We investigate how the stabilizer formalism, in particular
                      highly entangled stabilizer states, can be used to describe
                      the emergence of many-body shape collectivity from
                      individual constituents in a symmetry-preserving and
                      classically efficient way. The method that we adopt is based
                      on determining an optimal separation of the Hamiltonian into
                      a stabilizer component and a residual part inducing
                      nonstabilizerness. The corresponding stabilizer ground state
                      is efficiently prepared using techniques of graph states and
                      stabilizer tableaux. We demonstrate this technique in
                      context of the Lipkin-Meshkov-Glick model, a fully connected
                      spin system presenting a second-order phase transition from
                      spherical to deformed state. The resulting stabilizer ground
                      state is found to capture to a large extent both bipartite
                      and collective multipartite entanglement features of the
                      exact solution in the region of large deformation. We also
                      explore several methods for injecting nonstabilizerness into
                      the system, including adaptive derivative-assembled
                      pseudo-Trotter variational quantum eigensolver and
                      imaginary-time evolution (ITE) techniques. Stabilizer ground
                      states are found to accelerate ITE convergence due to a
                      larger overlap with the exact ground state. While further
                      investigations are required, the present work suggests that
                      collective features may be associated with high but simple
                      large-scale entanglement which can be captured by stabilizer
                      states, while the interplay with single-particle motion may
                      be responsible for inducing nonstabilizerness. This study
                      motivates applications of the proposed approach to more
                      realistic quantum many-body systems, whose stabilizer ground
                      states can be used in combinations with powerful classical
                      many-body techniques and/or quantum methods.},
      cin          = {THE},
      ddc          = {530},
      cid          = {I:(DE-Ds200)THE-20051214OR028},
      pnm          = {612 - Cosmic Matter in the Laboratory (POF4-612)},
      pid          = {G:(DE-HGF)POF4-612},
      experiment   = {$EXP:(DE-Ds200)no_experiment-20200803$},
      typ          = {PUB:(DE-HGF)16},
      doi          = {10.1103/5qr5-7jkz},
      url          = {https://repository.gsi.de/record/363896},
}