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@ARTICLE{Bishop:1046963,
      author       = {Bishop, Gino and Bagrets, Dmitry and Wilhelm, Frank K.},
      title        = {{Q}uantum algorithm for {G}reen's-function measurements in
                      the {F}ermi-{H}ubbard model},
      journal      = {Physical review / A},
      volume       = {111},
      number       = {6},
      issn         = {2469-9926},
      address      = {Woodbury, NY},
      publisher    = {Inst.},
      reportid     = {FZJ-2025-04031},
      pages        = {062610},
      year         = {2025},
      abstract     = {In the framework of the hybrid quantum-classical
                      variational cluster approach to strongly correlated electron
                      systems one of the goals of a quantum subroutine is to find
                      single-particle correlation functions of lattice fermions in
                      polynomial time. Previous works suggested to use variants of
                      the Hadamard test for this purpose, which requires an
                      implementation of controlled single-particle fermionic
                      operators. However, for a number of locality-preserving
                      mappings to encode fermions into qubits, a direct
                      construction of such operators is not possible. In this
                      work, we propose a quantum algorithm that uses an analog of
                      the Kubo formula adapted to a quantum circuit simulating the
                      Hubbard model. It allows to access the Green's function of a
                      cluster directly using only bilinears of fermionic operators
                      and circumvents the usage of the Hadamard test. We test our
                      algorithm in practice by using open-access simulators of
                      noisy IBM superconducting chips.},
      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},
      doi          = {10.1103/PhysRevA.111.062610},
      url          = {https://juser.fz-juelich.de/record/1046963},
}