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We simulate the logical Hadamard gate in the surface code under a circuit-level noise model, compiling it to a physical circuit on square-grid connectivity hardware.
“Stabilizer codes and quantum error correction” (1997) arXiv:quant-ph/9705052
Daniel Gottesman · 1997
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Eric Dennis, Alexei Kitaev, Andrew Landahl, and John Preskill · 2002
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“Topological fault-tolerance in cluster state quantum computation”
R. Raussendorf, J. Harrington, and K. Goyal · 2007
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“Topological order with a twist: Ising anyons from an abelian model”
Hector Bombin · 2010
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“Surface codes: Towards practical large-scale quantum computation”
Austin G. Fowler, Matteo Mariantoni, John M. Martinis, and Andrew N. Cleland · 2012
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“Surface code quantum computing by lattice surgery”
Dominic Horsman, Austin G. Fowler, Simon Devitt, and Rodney Van Meter · 2012
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“Low-distance surface codes under realistic quantum noise”
Yu Tomita and Krysta M. Svore · 2014
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“Quantum error correction for quantum memories”
Barbara M. Terhal · 2015
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Sergey Bravyi, Graeme Smith, and John A. Smolin · 2016
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Earl T. Campbell, Barbara M. Terhal, and Christophe Vuillot · 2017
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“Poking holes and cutting corners to achieve clifford gates with the surface code”
Benjamin J. Brown, Katharina Laubscher, Markus S. Kesselring, and James R. Wootton · 2017
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“Lattice surgery with a twist: simplifying Clifford gates of surface codes”
Daniel Litinski and Felix von Oppen · 2018
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Markus S. Kesselring, Fernando Pastawski, Jens Eisert, and Benjamin J. Brown · 2018
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Joschka Roffe · 2019
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“A game of surface codes: Large-scale quantum computing with lattice surgery”
Daniel Litinski · 2019
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Daniel Litinski · 2019
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Christopher Chamberland, Guanyu Zhu, Theodore J. Yoder, Jared B. Hertzberg, and Andrew W. Cross · 2020
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“Stim: a fast stabilizer circuit simulator”
Craig Gidney · 2021
“Pipelined correlated minimum weight perfect matching of the surface code”
Alexandru Paler and Austin G. Fowler · 2022
Later among the works it cites.
“Relaxing hardware requirements for surface code circuits using time-dynamics”
Matt McEwen, Dave Bacon, and Craig Gidney · 2023
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“Improved decoding of circuit noise and fragile boundaries of tailored surface codes”
Oscar Higgott, Thomas C. Bohdanowicz, Aleksander Kubica, Steven T. Flammia, and Earl T. Campbell · 2023
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“Logical blocks for fault-tolerant topological quantum computation”
Hector Bombin, Chris Dawson, Ryan V. Mishmash, Naomi Nickerson, Fernando Pastawski, and Sam Roberts · 2023
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Oscar Higgott and Craig Gidney · 2023
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