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@ARTICLE{Mehl:188051,
      author       = {Mehl, Sebastian and Bluhm, Hendrik and DiVincenzo, David},
      title        = {{F}ault-tolerant quantum computation for singlet-triplet
                      qubits with leakage errors},
      journal      = {Physical review / B},
      volume       = {91},
      number       = {8},
      issn         = {1098-0121},
      address      = {College Park, Md.},
      publisher    = {APS},
      reportid     = {FZJ-2015-01529},
      pages        = {085419},
      year         = {2015},
      abstract     = {We describe and analyze leakage errors of singlet-triplet
                      qubits. Even though leakage errors are a natural problem for
                      spin qubits encoded using quantum dot arrays, they have
                      obtained little attention in previous studies. We describe
                      the realization of leakage correction protocols that can be
                      implemented together with the quantum error correction
                      protocol of the surface code. Furthermore we construct
                      explicit leakage reduction units that need, in the ideal
                      setup, as few as three manipulation steps. Our study shows
                      that leakage errors can be corrected without the need of
                      measurements and at the cost of only a few additional
                      ancilla qubits and gate operations compared to standard
                      quantum error correction codes.},
      cin          = {PGI-2},
      ddc          = {530},
      cid          = {I:(DE-Juel1)PGI-2-20110106},
      pnm          = {144 - Controlling Collective States (POF3-144)},
      pid          = {G:(DE-HGF)POF3-144},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000349786400008},
      doi          = {10.1103/PhysRevB.91.085419},
      url          = {https://juser.fz-juelich.de/record/188051},
}