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@ARTICLE{Lively:1046983,
      author       = {Lively, Kevin and Bode, Tim and Szangolies, Jochen and Zhu,
                      Jian-Xin and Fauseweh, Benedikt},
      title        = {{N}oise robust detection of quantum phase transitions},
      journal      = {Physical review research},
      volume       = {6},
      number       = {4},
      issn         = {2643-1564},
      address      = {College Park, MD},
      publisher    = {APS},
      reportid     = {FZJ-2025-04051},
      pages        = {043254},
      year         = {2024},
      abstract     = {Quantum computing allows for the manipulation of highly
                      correlated states whose properties quickly go beyond the
                      capacity of any classical method to calculate. Thus one
                      natural problem which could lend itself to quantum advantage
                      is the study of ground-states of condensed matter models,
                      and the transitions between them. However, current levels of
                      hardware noise can require extensive application of
                      error-mitigation techniques to achieve reliable
                      computations. In this work, we use several IBM devices to
                      explore a finite-size spin model with multiple
                      “phaselike” regions characterized by distinct
                      ground-state configurations. Using preoptimized Variational
                      Quantum Eigensolver (VQE) solutions, we demonstrate that in
                      contrast to calculating the energy, where zero-noise
                      extrapolation is required in order to obtain qualitatively
                      accurate yet still unreliable results, calculations of the
                      energy derivative, two-site spin correlation functions, and
                      the fidelity susceptibility yield accurate behavior across
                      multiple regions, even with minimal or no application of
                      error-mitigation approaches. Taken together, these sets of
                      observables could be used to identify level crossings in a
                      simple, noise-robust manner which is agnostic to the method
                      of ground state preparation. This work shows promising
                      potential for near-term application to identifying quantum
                      phase transitions, including avoided crossings and
                      nonadiabatic conical intersections in electronic structure
                      calculations.},
      cin          = {PGI-12},
      ddc          = {530},
      cid          = {I:(DE-Juel1)PGI-12-20200716},
      pnm          = {5214 - Quantum State Preparation and Control (POF4-521)},
      pid          = {G:(DE-HGF)POF4-5214},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:001379589400005},
      doi          = {10.1103/PhysRevResearch.6.043254},
      url          = {https://juser.fz-juelich.de/record/1046983},
}