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Encoding quantum information to protect it from errors is essential for performing large-scale quantum computations.
Probable inference, the law of succession, and statistical inference
Edwin B. Wilson · 1927
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Experimental issues in coherent quantum-state manipulation of trapped atomic ions
D. J. Wineland, C. Monroe, W. M. Itano, D. Leibfried, B. E. King, and D. M. Meekhof · 1998
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Universal quantum computation with ideal clifford gates and noisy ancillas
Sergey Bravyi and Alexei Kitaev · 2005
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Quantum computing with realistically noisy devices
E. Knill · 2005
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Manipulation and detection of a trapped yb + {\mathrm{yb}}^{+} hyperfine qubit
S. Olmschenk, K. C. Younge, D. L. Moehring, D. N. Matsukevich, P. Maunz, and C. Monroe · 2007
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Restrictions on transversal encoded quantum gate sets
Bryan Eastin and Emanuel Knill · 2009
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Magic-state distillation with low overhead
Sergey Bravyi and Jeongwan Haah · 2012
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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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Multilevel distillation of magic states for quantum computing
Cody Jones · 2013
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Step-by-step magic state encoding for efficient fault-tolerant quantum computation
Hayato Goto · 2014
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Error mitigation for short-depth quantum circuits
Kristan Temme, Sergey Bravyi, and Jay M. Gambetta · 2017
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Stabgraph
David Amaro · 2019
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Efficient magic state factories with a catalyzed | C C Z ⟩ \ket{CCZ} to 2 | T ⟩ \ket{T} transformation
Craig Gidney and Austin G. Fowler · 2019
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Flexible layout of surface code computations using autoccz states, 2019
Craig Gidney and Austin G. Fowler · 2019
Cited alongside, same era.
Very low overhead fault-tolerant magic state preparation using redundant ancilla encoding and flag qubits
Christopher Chamberland and Kyungjoo Noh · 2020
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Fault-tolerant control of an error-corrected qubit
Laird Egan et al · 2021
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Realization of real-time fault-tolerant quantum error correction
C. Ryan-Anderson et al · 2021
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Quantum tanner codes, 2022
Anthony Leverrier and Gilles Zémor · 2022
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Logical-qubit operations in an error-detecting surface code
J. F. Marques et al · 2022
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Magic state cultivation: growing t states as cheap as cnot gates, 2024
Craig Gidney, Noah Shutty, and Cody Jones · 2024
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Leveraging zero-level distillation to generate high-fidelity magic states, 2024
Yutaka Hirano, Tomohiro Itogawa, and Keisuke Fujii · 2024
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Even more efficient magic state distillation by zero-level distillation, 2024
Tomohiro Itogawa, Yugo Takada, Yutaka Hirano, and Keisuke Fujii · 2024
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Magic State Injection on IBM Quantum Processors Above the Distillation Threshold
Younghun Kim, Martin Sevior, and Muhammad Usman · 2024
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Scaling and logic in the color code on a superconducting quantum processor
Nathan Lacroix et al · 2024
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Benchmarking logical three-qubit quantum fourier transform encoded in the steane code on a trapped-ion quantum computer, 2024
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Demonstration of fault-tolerant universal quantum gate operations
Lukas Postler et al · 2022
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Asymptotically good quantum and locally testable classical ldpc codes, 2022
Pavel Panteleev and Gleb Kalachev · 2022
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Implementing fault-tolerant entangling gates on the five-qubit code and the color code, 2022
C. Ryan-Anderson, N. C. Brown, M. S. Allman, B. Arkin, G. Asa-Attuah, C. Baldwin, J. Berg, J. G. Bohnet, S. Braxton, N. Burdick, J. P. Campora, A. Chernoguzov, J. Esposito, B. Evans, D. Francois, J. P. Gaebler, T. M. Gatterman, J. Gerber, K. Gilmore, D. Gresh, A. Hall, A. Hankin, J. Hostetter, D. Lucchetti, K. Mayer, J. Myers, B. Neyenhuis, J. Santiago, J. Sedlacek, T. Skripka, A. Slattery, R. P. Stutz, J. Tait, R. Tobey, G. Vittorini, J. Walker, and D. Hayes · 2022
Cited alongside, same era.
Logical Magic State Preparation with Fidelity beyond the Distillation Threshold on a Superconducting Quantum Processor
Yangsen Ye et al · 2023
Cited alongside, same era.
Encoding a magic state with beyond break-even fidelity
Riddhi S. Gupta et al · 2024
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High-performance fault-tolerant quantum computing with many-hypercube codes
Hayato Goto · 2024
Cited alongside, same era.
Karl Mayer, Ciarán Ryan-Anderson, Natalie Brown, Elijah Durso-Sabina, Charles H. Baldwin, David Hayes, Joan M. Dreiling, Cameron Foltz, John P. Gaebler, Thomas M. Gatterman, Justin A. Gerber, Kevin Gilmore, Dan Gresh, Nathan Hewitt, Chandler V. Horst, Jacob Johansen, Tanner Mengle, Michael Mills, Steven A. Moses, Peter E. Siegfried, Brian Neyenhuis, Juan Pino, and Russell Stutz · 2024
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Experimental Demonstration of Logical Magic State Distillation
Pedro Sales Rodriguez et al · 2024
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Experimental demonstration of high-fidelity logical magic states from code switching
Lucas Daguerre, Robin Blume-Kohout, Natalie Brown, David Hayes, and Isaac Kim · 2025
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Low-overhead magic state distillation with color codes, 2025
Seok-Hyung Lee, Felix Thomsen, Nicholas Fazio, Benjamin J. Brown, and Stephen D. Bartlett · 2025
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Experimental fault-tolerant code switching
Ivan Pogorelov, Friederike Butt, Lukas Postler, Christian D. Marciniak, Philipp Schindler, Markus Müller, and Thomas Monz · 2025
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H1-1 spec sheet
Quantinuum · 2025
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Magic-h6
Quantinuum · 2025
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