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@ARTICLE{Besedin:1038532,
      author       = {Besedin, Ilya and Kerschbaum, Michael and Knoll, Jonathan
                      and Hesner, Ian and Bödeker, Lukas and Colmenarez, Luis and
                      Hofele, Luca and Lacroix, Nathan and Hellings, Christoph and
                      Swiadek, François and Flasby, Alexander and Panah, Mohsen
                      Bahrami and Zanuz, Dante Colao and Müller, Markus and
                      Wallraff, Andreas},
      title        = {{R}ealizing {L}attice {S}urgery on {T}wo {D}istance-{T}hree
                      {R}epetition {C}odes with {S}uperconducting {Q}ubits},
      reportid     = {FZJ-2025-01517, arXiv:2501.04612},
      year         = {2025},
      note         = {19 pages, 13 figures},
      abstract     = {Quantum error correction is needed for quantum computers to
                      be capable of fault-tolerantly executing algorithms using
                      hundreds of logical qubits. Recent experiments have
                      demonstrated subthreshold error rates for state preservation
                      of a single logical qubit. In addition, the realization of
                      universal quantum computation requires the implementation of
                      logical entangling gates. Lattice surgery offers a practical
                      approach for implementing such gates, particularly in planar
                      quantum processor layouts. In this work, we demonstrate
                      lattice surgery between two distance-three repetition-code
                      qubits by splitting a single distance-three surface-code
                      qubit. Using a quantum circuit fault-tolerant to bit-flip
                      errors, we achieve an improvement in the value of the
                      decoded $ZZ$ logical two-qubit observable compared to a
                      similar non-encoded circuit. By preparing the surface-code
                      qubit in initial states parametrized by a varying polar
                      angle, we evaluate the performance of the lattice surgery
                      operation for non-cardinal states on the logical Bloch
                      sphere and employ logical two-qubit tomography to
                      reconstruct the Pauli transfer matrix of the operation. In
                      this way, we demonstrate the functional building blocks
                      needed for lattice surgery operations on larger-distance
                      codes based on superconducting circuits.},
      cin          = {PGI-2},
      cid          = {I:(DE-Juel1)PGI-2-20110106},
      pnm          = {5221 - Advanced Solid-State Qubits and Qubit Systems
                      (POF4-522)},
      pid          = {G:(DE-HGF)POF4-5221},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2501.04612},
      howpublished = {arXiv:2501.04612},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2501.04612;\%\%$},
      url          = {https://juser.fz-juelich.de/record/1038532},
}