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Quantum information is fragile and must be protected by a quantum error-correcting code for large-scale practical applications.
“Handling Leakage with Subsystem Codes”
Natalie C. Brown, Michael Newman, and Kenneth R. Brown · 1903
Earlier work this paper cites.
“Sorting on a mesh-connected parallel computer”
C. D. Thompson and H. T. Kung · 1977
Earlier work this paper cites.
“Scheme for reducing decoherence in quantum computer memory”
Peter W. Shor · 1995
Earlier work this paper cites.
“Error correcting codes in quantum theory”
A. M. Steane · 1996
Earlier work this paper cites.
“Fault-tolerant quantum computation”
P.W. Shor · 1996
Earlier work this paper cites.
“Stabilizer codes and quantum error correction” (1997)
Daniel Gottesman · 1997
Earlier work this paper cites.
“Fault-tolerant quantum computation with constant error”
D. Aharonov and M. Ben-Or · 1997
Earlier work this paper cites.
“Quantum computations: algorithms and error correction”
A Yu Kitaev · 1997
Earlier work this paper cites.
“Fault-tolerant quantum computation”
John Preskill · 1997
Earlier work this paper cites.
“Resilient quantum computation”
Emanuel Knill, Raymond Laflamme, and Wojciech H. Zurek · 1998
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“Reliable quantum computers”
John Preskill · 1998
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“Quantum codes on a lattice with boundary” (1998)
S. B. Bravyi and A. Yu. Kitaev · 1998
Earlier work this paper cites.
“Topological quantum memory”
Eric Dennis, Alexei Kitaev, Andrew Landahl, and John Preskill · 2002
Earlier work this paper cites.
“Fault-tolerant quantum computation by anyons”
A.Yu. Kitaev · 2003
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“Stabilizer formalism for operator quantum error correction”
David Poulin · 2005
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“Operator quantum error-correcting subsystems for self-correcting quantum memories”
Dave Bacon · 2006
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“Fault-tolerant quantum computation with high threshold in two dimensions”
Robert Raussendorf and Jim Harrington · 2007
Earlier work this paper cites.
“Interacting anyonic fermions in a two-body color code model”
H. Bombin, M. Kargarian, and M. A. Martin-Delgado · 2009
Earlier work this paper cites.
H. Bombin · 2009
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“A no-go theorem for a two-dimensional self-correcting quantum memory based on stabilizer codes”
Sergey Bravyi and Barbara Terhal · 2009
Earlier work this paper cites.
Trithep Devakul and Dominic J. Williamson · 2009
Earlier work this paper cites.
“Tradeoffs for reliable quantum information storage in 2d systems”
Sergey Bravyi, David Poulin, and Barbara Terhal · 2010
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“Subsystem codes with spatially local generators”
Sergey Bravyi · 2011
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“Quantum self-correction in the 3d cubic code model”
Sergey Bravyi and Jeongwan Haah · 2013
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“Sparse quantum codes from quantum circuits”
Dave Bacon, Steven T. Flammia, Aram W. Harrow, and Jonathan Shi · 2015
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“Holographic quantum error-correcting codes: toy models for the bulk/boundary correspondence”
Fernando Pastawski, Beni Yoshida, Daniel Harlow, and John Preskill · 2015
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“Weight reduction for quantum codes” (2016)
M. B. Hastings · 2016
“On combinatorial structures in linear codes” (2023)
Nouédyn Baspin · 2023
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“A Race Track Trapped-Ion Quantum Processor”
Quantinuum · 2023
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“High-fidelity parallel entangling gates on a neutral atom quantum computer”
Simon J. Evered, Dolev Bluvstein, Marcin Kalinowski, Sepehr Ebadi, Tom Manovitz, Hengyun Zhou, Sophie H. Li, Alexandra A. Geim, Tout T. Wang, Nishad Maskara, Harry Levine, Giulia Semeghini, Markus Greiner, Vladan Vuletic, and Mikhail D. Lukin · 2023
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“Loophole-free Bell inequality violation with superconducting circuits”
Simon Storz, Josua Schär, Anatoly Kulikov, Paul Magnard, Philipp Kurpiers, Janis Lütolf, Theo Walter, Adrian Copetudo, Kevin Reuer, Abdulkadir Akin, Jean Claude Besse, Mihai Gabureac, Graham J. Norris, Andrés Rosario, Ferran Martin, José Martinez, Waldimar Amaya, Morgan W. Mitchell, Carlos Abellan, Jean Daniel Bancal, Nicolas Sangouard, Baptiste Royer, Alexandre Blais, and Andreas Wallraff · 2023
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Cited alongside, same era.
“Routing in undirected graphs with constant congestion”
Julia Chuzhoy · 2016
Cited alongside, same era.
“Limits on the storage of quantum information in a volume of space”
Steven T. Flammia, Jeongwan Haah, Michael J. Kastoryano, and Isaac H. Kim · 2017
Cited alongside, same era.
“Direct measurement of Bacon-Shor code stabilizers”
Muyuan Li, Daniel Miller, and Kenneth R. Brown · 2018
Cited alongside, same era.
“Quantum low-density parity-check codes”
Nikolas P. Breuckmann and Jens Niklas Eberhardt · 2021
Cited alongside, same era.
“Balanced product quantum codes”
Nikolas P. Breuckmann and Jens N. Eberhardt · 2021
Cited alongside, same era.
“Symmetry-Protected Infinite-Temperature Quantum Memory from Subsystem Codes”
Julia Wildeboer, Thomas Iadecola, and Dominic J. Williamson · 2021
Cited alongside, same era.
“On quantum weight reduction” (2023)
M. B. Hastings · 2023
Later among the works it cites.
“Simulating ldpc code hamiltonians on 2d lattices” (2023)
Harriet Apel and Nouédyn Baspin · 2023
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“Less bacon more threshold” (2023)
Craig Gidney and Dave Bacon · 2023
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“Relaxing Hardware Requirements for Surface Code Circuits using Time-dynamics”
Matt McEwen, Dave Bacon, and Craig Gidney · 2023
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“Spacetime codes of Clifford circuits” (2023)
Nicolas Delfosse and Adam Paetznick · 2023
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Dominic J. Williamson and Nouédyn Baspin · 2024
Closest in time.
Xingjian Li, Ting-Chun Lin, and Min-Hsiu Hsieh · 2024
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“Improved rate-distance trade-offs for quantum codes with restricted connectivity”
Nouédyn Baspin, Venkatesan Guruswami, Anirudh Krishna, and Ray Li · 2024
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“Weight-reduced stabilizer codes with lower overhead”
Eric Sabo, Lane G. Gunderman, Benjamin Ide, Michael Vasmer, and Guillaume Dauphinais · 2024
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Corollary 6 of https://courses.grainger.illinois.edu/cs598csc/fa2024/Notes/lec-well-linked-decomp.pdf (2024)
2024
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“Dynamical weight reduction of Pauli measurements” (2024)
Julio C. Magdalena de la Fuente · 2024
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“Floquetifying stabiliser codes with distance-preserving rewrites” (2024)
Benjamin Rodatz, Boldizsár Poór, and Aleks Kissinger · 2024
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“Quantum error correction below the surface code threshold”
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PsiQuantum · 2025
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“Fault-Tolerant Logical Measurements via Homological Measurement”
Benjamin Ide, Manoj G. Gowda, Priya J. Nadkarni, and Guillaume Dauphinais · 2025
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“Fault Tolerance by Construction” (2025)
Benjamin Rodatz, Boldizsár Poór, and Aleks Kissinger · 2025
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“Low-overhead fault-tolerant quantum computation by gauging logical operators”
Dominic J. Williamson and Theodore J. Yoder · 2026
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