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@ARTICLE{Kaicher:909194,
      author       = {Kaicher, Michael P. and Jäger, Simon B. and
                      Dallaire-Demers, Pierre-Luc and Wilhelm, Frank K.},
      title        = {{R}oadmap for quantum simulation of the fractional quantum
                      {H}all effect},
      journal      = {Physical review / A},
      volume       = {102},
      number       = {2},
      issn         = {2469-9926},
      address      = {Woodbury, NY},
      publisher    = {Inst.},
      reportid     = {FZJ-2022-03062},
      pages        = {022607},
      year         = {2020},
      abstract     = {A major motivation for building a quantum computer is that
                      it provides a tool to efficiently simulate strongly
                      correlated quantum systems. In this paper, we present a
                      detailed roadmap on how to simulate a two-dimensional
                      electron gas—cooled to absolute zero and pierced by a
                      strong transversal magnetic field—on a quantum computer.
                      This system describes the setting of the fractional quantum
                      Hall effect, one of the pillars of modern condensed-matter
                      theory. We give analytical expressions for the two-body
                      integrals that allow for mixing between N Landau levels at a
                      cutoff M in angular momentum and give gate-count estimates
                      for the efficient simulation of the energy spectrum of the
                      Hamiltonian on an error-corrected quantum computer. We then
                      focus on studying efficiently preparable initial states and
                      their overlap with the exact ground state for noisy as well
                      as error-corrected quantum computers. By performing an
                      imaginary time evolution of the covariance matrix, we find
                      the generalized Hartree-Fock solution to the many-body
                      problem and study how a multireference state expansion
                      affects the state overlap. We perform small-system numerical
                      simulations to study the quality of the two initial state
                      Ansätze in the lowest Landau level approximation.},
      cin          = {PGI-12},
      ddc          = {530},
      cid          = {I:(DE-Juel1)PGI-12-20200716},
      pnm          = {5215 - Towards Quantum and Neuromorphic Computing
                      Functionalities (POF4-521)},
      pid          = {G:(DE-HGF)POF4-5215},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000560651300001},
      doi          = {10.1103/PhysRevA.102.022607},
      url          = {https://juser.fz-juelich.de/record/909194},
}