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Topological quantum computations are built on a foundation of two basic tasks: preserving logical observables through time and moving logical observables through space.
“Topological quantum distillation”
Hector Bombin and Miguel Martin-Delgado · 2006
Earlier work this paper cites.
“Topological fault-tolerance in cluster state quantum computation” quant-ph/0703143
R. Raussendorf, J. Harrington and K. Goyal · 2007
Earlier work this paper cites.
“Surface codes: Towards practical large-scale quantum computation” arXiv:1208.0928
A.. Fowler, M. Mariantoni, J.. Martinis and A.. Cleland · 2012
Earlier work this paper cites.
“Surface code quantum computing by lattice surgery”
Clare Horsman, Austin Fowler, Simon Devitt and Rodney Van · 2012
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“Optimal complexity correction of correlated errors in the surface code”
Austin Fowler · 2013
Earlier work this paper cites.
“Repeated quantum error detection in a surface code”
Christian Andersen, Ants Remm, Stefania Lazar, Sebastian Krinner, Nathan Lacroix, Graham Norris, Mihai Gabureac, Christopher Eichler and Andreas Wallraff · 2020
Earlier work this paper cites.
“A fault-tolerant honeycomb memory”
Craig Gidney, Michael Newman, Austin Fowler and Michael Broughton · 2021
Earlier work this paper cites.
“The Stim Circuit File Format (.stim)” Accessed: 2021-08-16, https://github.com/quantumlib/Stim/blob/main/doc/file_format_stim_circuit.md , 2021
Craig Gidney · 2021
Cited alongside, same era.
“Exponential suppression of bit or phase errors with cyclic error correction”
Google AI · 2021
Cited alongside, same era.
“Dynamically generated logical qubits”
Matthew Hastings and Jeongwan Haah · 2021
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“Realization of real-time fault-tolerant quantum error correction”
C Ryan-Anderson, JG Bohnet, K Lee, D Gresh, A Hankin, JP Gaebler, D Francois, A Chernoguzov, D Lucchetti and NC Brown · 2021
Cited alongside, same era.
“Circuit-level protocol and analysis for twist-based lattice surgery”
Christopher Chamberland and Earl Campbell · 2022
Cited alongside, same era.
“Universal quantum computing with twist-free and temporally encoded lattice surgery”
“Data for "Stability Experiments: The Overlooked Dual of Memory Experiments"”
Craig Gidney · 2022
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“Benchmarking the Planar Honeycomb Code”
Craig Gidney and Michael Newman · 2022
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“Boundaries for the Honeycomb Code”
Jeongwan Haah and Matthew. Hastings · 2022
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“Realizing repeated quantum error correction in a distance-three surface code”
Sebastian Krinner, Nathan Lacroix, Ants Remm, Agustin Di, Elie Genois, Catherine Leroux, Christoph Hellings, Stefania Lazar, Francois Swiadek and Johannes Herrmann · 2022
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“Performance of planar Floquet codes with Majorana-based qubits”
Adam Paetznick, Christina Knapp, Nicolas Delfosse, Bela Bauer, Jeongwan Haah, Matthew Hastings and Marcus da Silva · 2022
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Christopher Chamberland and Earl Campbell · 2022
Cited alongside, same era.
“Building a fault-tolerant quantum computer using concatenated cat codes”
Christopher Chamberland, Kyungjoo Noh, Patricio Arrangoiz-Arriola, Earl Campbell, Connor Hann, Joseph Iverson, Harald Putterman, Thomas Bohdanowicz, Steven Flammia and Andrew Keller · 2022
Cited alongside, same era.
Google Team · 2022
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“Realization of an error-correcting surface code with superconducting qubits”
Youwei Zhao, Yangsen Ye, He-Liang Huang, Yiming Zhang, Dachao Wu, Huijie Guan, Qingling Zhu, Zuolin Wei, Tan He and Sirui Cao · 2022
Closest in time.