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A long-standing challenge in quantum error correction is the infeasibility of universal transversal gates, as shown by the Eastin-Knill theorem.
E. Knill and R. Laflamme, Theory of quantum error-correcting codes, Phys. Rev. A 55
1997
Earlier work this paper cites.
D. Gottesman, Theory of fault-tolerant quantum computation, Phys. Rev. A 57
1998
Earlier work this paper cites.
E. Knill, R. Laflamme, and L. Viola, Theory of quantum error correction for general noise, Phys. Rev. Lett. 84
2000
Earlier work this paper cites.
E. Dennis, A. Kitaev, A. Landahl, and J. Preskill, Topological quantum memory, J. Math. Phys. 43
2002
Earlier work this paper cites.
W. Rossmann, Lie Groups: An Introduction Through Linear Groups (Oxford University Press, 2002)
2002
Earlier work this paper cites.
S. Bravyi and A. Kitaev, Universal quantum computation with ideal Clifford gates and noisy ancillas, Phys. Rev. A 71
2005
Earlier work this paper cites.
D. Aharonov, A. Kitaev, and J. Preskill, Fault-tolerant quantum computation with long-range correlated noise, Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
2009
Earlier work this paper cites.
B. Eastin and E. Knill, Restrictions on transversal encoded quantum gate sets, Phys. Rev. Lett. 102
2009
Earlier work this paper cites.
A. Paetznick and B. W. Reichardt, Universal fault-tolerant quantum computation with only transversal gates and error correction, Phys. Rev. Lett. 111
2013
Earlier work this paper cites.
S. Bravyi and R. König, Classification of topologically protected gates for local stabilizer codes, Phys. Rev. Lett. 110
2013
Earlier work this paper cites.
J. T. Anderson, G. Duclos-Cianci, and D. Poulin, Fault-tolerant conversion between the Steane and Reed-Muller quantum codes, Phys. Rev. Lett. 113
2014
Earlier work this paper cites.
B. M. Terhal, Quantum error correction for quantum memories, Rev. Mod. Phys. 87
2015
Cited alongside, same era.
T. J. Yoder, R. Takagi, and I. L. Chuang, Universal fault-tolerant gates on concatenated stabilizer codes, Phys. Rev. X 6
2016
Cited alongside, same era.
J. O’Gorman and E. T. Campbell, Quantum computation with realistic magic-state factories, Phys. Rev. A 95
2017
Cited alongside, same era.
E. T. Campbell, B. M. Terhal, and C. Vuillot, Roads towards fault-tolerant universal quantum computation, Nature 549
2017
Cited alongside, same era.
D. C. McKay, C. J. Wood, S. Sheldon, J. M. Chow, and J. M. Gambetta, Efficient Z Z gates for quantum computing, Phys. Rev. A 96
2017
Cited alongside, same era.
C. D. Wilen, S. Abdullah, N. A. Kurinsky, C. Stanford, L. Cardani, G. D’Imperio, C. Tomei, L. Faoro, L. B. Ioffe, C. H. Liu, A. Opremcak, B. G. Christensen, J. L. DuBois, and R. McDermott, Correlated charge noise and relaxation errors in superconducting qubits, Nature 594
2021
Later among the works it cites.
G. Q. AI, Suppressing quantum errors by scaling a surface code logical qubit, Nature 614
2023
Later among the works it cites.
Z.-W. Liu and S. Zhou, Approximate symmetries and quantum error correction, Npj Quantum Inf 9
2023
Later among the works it cites.
E. Kubischta and I. Teixeira, Family of quantum codes with exotic transversal gates, Phys. Rev. Lett. 131
2023
Later among the works it cites.
S. Lim, J. Liu, and A. Ardavan, Fault-tolerant qubit encoding using a spin-7/2 qudit, Phys. Rev. A 108
2023
Later among the works it cites.
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2018
Cited alongside, same era.
2019
Cited alongside, same era.
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Cited alongside, same era.
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Cited alongside, same era.
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2021
Cited alongside, same era.
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2021
Cited alongside, same era.
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