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Floquet codes are an intriguing generalisation of stabiliser and subsystem codes, which can provide good fault-tolerant characteristics while benefiting from reduced connectivity requirements in hardware.
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P.W. Shor · 1996
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“Codes for the quantum erasure channel”
M. Grassl, Th. Beth, and T. Pellizzari · 1997
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“Analysis of quantum error-correcting codes: symplectic lattice codes and toric codes”
James William Harrington · 2004
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“Topological quantum distillation”
H. Bombin and M. A. Martin-Delgado · 2006
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“Fault-tolerant quantum computation for local leakage faults”
Panos Aliferis and Barbara M. Terhal · 2007
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“Fault tolerant quantum computation with very high threshold for loss errors”
Sean D. Barrett and Thomas M. Stace · 2010
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“Error correction and degeneracy in surface codes suffering loss”
Thomas M. Stace and Sean D. Barrett · 2010
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“Coping with qubit leakage in topological codes”
Austin G. Fowler · 2013
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“Understanding the effects of leakage in superconducting quantum-error-detection circuits”
Joydip Ghosh, Austin G. Fowler, John M. Martinis, and Michael R. Geller · 2013
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“Upper bound for loss in practical topological-cluster-state quantum computing”
Adam C. Whiteside and Austin G. Fowler · 2014
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“Surface code error correction on a defective lattice”
Shota Nagayama, Austin G Fowler, Dominic Horsman, Simon J Devitt, and Rodney Van Meter · 2017
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“Fault-tolerance thresholds for the surface code with fabrication errors”
James M. Auger, Hussain Anwar, Mercedes Gimeno-Segovia, Thomas M. Stace, and Dan E. Browne · 2017
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“Scalable designs for quasiparticle-poisoning-protected topological quantum computation with Majorana zero modes”
Torsten Karzig, Christina Knapp, Roman M. Lutchyn, Parsa Bonderson, Matthew B. Hastings, Chetan Nayak, Jason Alicea, Karsten Flensberg, Stephan Plugge, Yuval Oreg, Charles M. Marcus, and Michael H. Freedman · 2017
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“Fault-tolerant quantum computation with nondeterministic entangling gates”
James M. Auger, Hussain Anwar, Mercedes Gimeno-Segovia, Thomas M. Stace, and Dan E. Browne · 2018
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“Handling leakage with subsystem codes”
Natalie C Brown, Michael Newman, and Kenneth R Brown · 2019
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“Quantum supremacy using a programmable superconducting processor”
Frank Arute, Kunal Arya, Ryan Babbush, et al · 2019
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“Impact of ionizing radiation on superconducting qubit coherence”
Antti P. Vepsäläinen et al · 2020
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“Dynamically Generated Logical Qubits”
Matthew B. Hastings and Jeongwan Haah · 2021
Cited alongside, same era.
“A Fault-Tolerant Honeycomb Memory”
Craig Gidney, Michael Newman, Austin Fowler, and Michael Broughton · 2021
Cited alongside, same era.
“Exponential suppression of bit or phase errors with cyclic error correction”
Google Quantum AI · 2021
Cited alongside, same era.
“Stim: a fast stabilizer circuit simulator”
Craig Gidney · 2021
Cited alongside, same era.
“Benchmarking the Planar Honeycomb Code”
Craig Gidney, Michael Newman, and Matt McEwen · 2022
Cited alongside, same era.
“Resolving catastrophic error bursts from cosmic rays in large arrays of superconducting qubits”
Matt McEwen, Lara Faoro, Kunal Arya, et al · 2022
Cited alongside, same era.
“Floquetifying the colour code”
Alex Townsend-Teague, Julio Magdalena de la Fuente, and Markus Kesselring · 2023
Later among the works it cites.
“ x x -cube floquet code: A dynamical quantum error correcting code with a subextensive number of logical qubits”
Zhehao Zhang, David Aasen, and Sagar Vijay · 2023
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“Floquet codes with a twist” (2023)
Tyler D. Ellison, Joseph Sullivan, and Arpit Dua · 2023
Later among the works it cites.
“New circuits and an open source decoder for the color code” (2023)
Craig Gidney and Cody Jones · 2023
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“Adaptive surface code for quantum error correction in the presence of temporary or permanent defects”
Adam Siegel, Armands Strikis, Thomas Flatters, and Simon Benjamin · 2023
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“Q3de: A fault-tolerant quantum computer architecture for multi-bit burst errors by cosmic rays”
Yasunari Suzuki, Takanori Sugiyama, Tomochika Arai, Wang Liao, Koji Inoue, and Teruo Tanimoto · 2022
Cited alongside, same era.
“Realizing repeated quantum error correction in a distance-three surface code”
Sebastian Krinner et al · 2022
Cited alongside, same era.
“Boundaries for the Honeycomb Code”
Jeongwan Haah and Matthew B. Hastings · 2022
Cited alongside, same era.
“Performance of planar floquet codes with Majorana-based qubits”
Adam Paetznick, Christina Knapp, Nicolas Delfosse, Bela Bauer, Jeongwan Haah, Matthew B. Hastings, and Marcus P. da Silva · 2023
Cited alongside, same era.
“High-threshold codes for neutral-atom qubits with biased erasure errors”
Kaavya Sahay, Junlan Jin, Jahan Claes, Jeff D. Thompson, and Shruti Puri · 2023
Cited alongside, same era.
“Overcoming leakage in quantum error correction”
Kevin C. Miao, Matt McEwen, et al · 2023
Cited alongside, same era.
“High-threshold quantum computing by fusing one-dimensional cluster states”
Stefano Paesani and Benjamin J. Brown · 2023
Later among the works it cites.
“Fault-tolerant quantum architectures based on erasure qubits” (2023)
Shouzhen Gu, Alex Retzker, and Aleksander Kubica · 2023
Later among the works it cites.
“Fault-tolerant hyperbolic floquet quantum error correcting codes” (2023)
Ali Fahimniya, Hossein Dehghani, Kishor Bharti, Sheryl Mathew, Alicia J. Kollár, Alexey V. Gorshkov, and Michael J. Gullans · 2023
Later among the works it cites.
“Quantum computation from dynamic automorphism codes”
Margarita Davydova, Nathanan Tantivasadakarn, Shankar Balasubramanian, and David Aasen · 2024
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“Improved Pairwise Measurement-Based Surface Code”
Linnea Grans-Samuelsson, Ryan V. Mishmash, David Aasen, Christina Knapp, Bela Bauer, Brad Lackey, Marcus P. da Silva, and Parsa Bonderson · 2024
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“Luci in the surface code with dropouts” (2024)
Dripto M. Debroy, Matt McEwen, Craig Gidney, Noah Shutty, and Adam Zalcman · 2024
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“Anyon condensation and the color code”
Markus S. Kesselring, Julio C. Magdalena de la Fuente, Felix Thomsen, Jens Eisert, Stephen D. Bartlett, and Benjamin J. Brown · 2024
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https://qcs.rigetti.com/qpus
“Rigetti Systems: Ankaa-2 Quantum Processor” · 2024
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https://research.ibm.com/blog/heavy-hex-lattice
“The IBM Quantum heavy hex lattice” · 2024
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“Engineering 3d floquet codes by rewinding”
Arpit Dua, Nathanan Tantivasadakarn, Joseph Sullivan, and Tyler D. Ellison · 2024
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“Constructions and performance of hyperbolic and semi-hyperbolic floquet codes”
Oscar Higgott and Nikolas P. Breuckmann · 2024
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