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@ARTICLE{MartnezGarca:907015,
      author       = {Martínez-García, Fernando and Gerster, Lukas and Vodola,
                      Davide and Hrmo, Pavel and Monz, Thomas and Schindler,
                      Philipp and Müller, Markus},
      title        = {{A}nalytical and experimental study of center-line
                      miscalibrations in {M}ølmer-{S}ørensen gates},
      journal      = {Physical review / A},
      volume       = {105},
      number       = {3},
      issn         = {2469-9926},
      address      = {Woodbury, NY},
      publisher    = {Inst.},
      reportid     = {FZJ-2022-01811},
      pages        = {032437},
      year         = {2022},
      abstract     = {A major challenge for the realization of useful universal
                      quantum computers is achieving high fidelity two-qubit
                      entangling gate operations. However, calibration errors can
                      affect the quantum gate operations and limit their fidelity.
                      To reduce such errors it is desirable to have an analytical
                      understanding and quantitative predictions of the effects
                      that miscalibrations of gate parameters have on the gate
                      performance. In this work, we study a systematic
                      perturbative expansion in miscalibrated parameters of the
                      Mølmer-Sørensen entangling gate, which is widely used in
                      trapped-ion quantum processors. Our analytical treatment
                      particularly focuses on systematic center-line detuning
                      miscalibrations. Via a unitary Magnus expansion, we compute
                      the gate evolution operator, which allows us to obtain
                      relevant key properties such as relative phases, electronic
                      populations, quantum state purity and fidelities. These
                      quantities, subsequently, are used to assess the performance
                      of the gate using the fidelity of entangled states as
                      performance metric. We verify the predictions from our model
                      by benchmarking them against measurements in a trapped-ion
                      quantum processor. The method and the results presented here
                      can help design and calibrate high-fidelity gate operations
                      of large-scale quantum computers.},
      cin          = {PGI-2},
      ddc          = {530},
      cid          = {I:(DE-Juel1)PGI-2-20110106},
      pnm          = {5224 - Quantum Networking (POF4-522)},
      pid          = {G:(DE-HGF)POF4-5224},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000779901900001},
      doi          = {10.1103/PhysRevA.105.032437},
      url          = {https://juser.fz-juelich.de/record/907015},
}