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@ARTICLE{Wilkinson:1034828,
      author       = {Wilkinson, Joseph W. P. and Bolsmann, Katrin and Guedes,
                      Thiago L. M. and Müller, Markus and Lesanovsky, Igor},
      title        = {{T}wo-qubit gate protocols with microwave-dressed {R}ydberg
                      ions in a linear {P}aul trap},
      reportid     = {FZJ-2024-07581},
      year         = {2024},
      abstract     = {Ultracold trapped atomic ions excited into highly energetic
                      Rydberg states constitute a promising platform for scalable
                      quantum information processing. Elementary building blocks
                      for such tasks are high-fidelity and sufficiently fast
                      entangling two-qubit gates, which can be achieved via strong
                      dipole-dipole interactions between microwave-dressed Rydberg
                      ions, as recently demonstrated in a breakthrough experiment
                      [Nature 580, 345 (2020)]. We theoretically investigate the
                      performance of three protocols leading to controlled-phase
                      gate operations. Starting from a microscopic description of
                      Rydberg ions in a linear Paul trap, we derive an effective
                      Hamiltonian that faithfully captures the essential dynamics
                      underlying the gate protocols. We then use an optimization
                      scheme to fine-tune experimentally controllable parameters
                      like laser detuning and Rabi frequency to yield maximal gate
                      fidelity under each studied protocol. We show how
                      non-adiabatic transitions resulting from fast laser driving
                      relative to the characteristic time scales of the system
                      detrimentally affect the fidelity. Despite this, we
                      demonstrate that in the realistic scenario of Rydberg ions
                      with finite radiative lifetimes, optimizing the best found
                      gate protocol enables achievement of fidelities as high as
                      $99.25\,\\%$ for a gate time of $0.2\,\mu\mathrm{s}$. This
                      considerably undercuts entangling gate durations between
                      ground-state ions, for which gate times are typically
                      limited by the comparably slower time scales of vibrational
                      modes. Overall, this places trapped Rydberg ions into the
                      regime where fast high-accuracy quantum computing and
                      eventually quantum error correction become possible.},
      cin          = {PGI-2},
      cid          = {I:(DE-Juel1)PGI-2-20110106},
      pnm          = {5221 - Advanced Solid-State Qubits and Qubit Systems
                      (POF4-522) / BRISQ - Brisk Rydberg Ions for Scalable Quantum
                      Processors (101046968)},
      pid          = {G:(DE-HGF)POF4-5221 / G:(EU-Grant)101046968},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2412.13699},
      howpublished = {arXiv:2412.13699},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2412.13699;\%\%$},
      doi          = {10.34734/FZJ-2024-07581},
      url          = {https://juser.fz-juelich.de/record/1034828},
}