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Device error rates on current quantum computers have improved enough to where demonstrations of error correction below break-even are now possible.
A. R. Calderbank and P. W. Shor, Good quantum error-correcting codes exist, Phys. Rev. A 54
1996
Earlier work this paper cites.
M. Sipser and D. Spielman, Expander codes, IEEE Transactions on Information Theory 42
1996
Earlier work this paper cites.
P. Shor, Fault-tolerant quantum computation, in Proceedings of 37th Conference on Foundations of Computer Science (1996) pp. 56–65
1996
Earlier work this paper cites.
D. Gottesman, Stabilizer codes and quantum error correction, arXiv preprint arXiv:quant-ph/9705052 (1997)
1997
Earlier work this paper cites.
D. J. C. MacKay and R. M. Neal, Near shannon limit performance of low density parity check codes, Electronics Letters 33
1997
Earlier work this paper cites.
S. B. Bravyi and A. Y. Kitaev, Quantum codes on a lattice with boundary, arXiv prerpint arXiv:quant-ph/9811052 (1998)
1998
Earlier work this paper cites.
D. Gottesman, Theory of fault-tolerant quantum computation, Phys. Rev. A 57
1998
Earlier work this paper cites.
E. Dennis, A. Kitaev, A. Landahl, and J. Preskill, Topological quantum memory, Journal of Mathematical Physics 43
2002
Earlier work this paper cites.
A. Kitaev, Fault-tolerant quantum computation by anyons, Annals of Physics 303
2003
Earlier work this paper cites.
D. Poulin, Stabilizer formalism for operator quantum error correction, Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
D. Bacon, Operator quantum error-correcting subsystems for self-correcting quantum memories, Phys. Rev. A 73
2006
Earlier work this paper cites.
D. Poulin, Optimal and efficient decoding of concatenated quantum block codes, Phys. Rev. A 74
2006
Earlier work this paper cites.
H. Bombin and M. A. Martin-Delgado, Topological quantum distillation, Phys. Rev. Lett. 97
2006
Earlier work this paper cites.
S. Bravyi and B. Terhal, A no-go theorem for a two-dimensional self-correcting quantum memory based on stabilizer codes, New Journal of Physics 11
2009
Earlier work this paper cites.
H. Bombin, Topological subsystem codes, Phys. Rev. A 81
2010
Earlier work this paper cites.
S. Bravyi, D. Poulin, and B. Terhal, Tradeoffs for reliable quantum information storage in 2D systems, Phys. Rev. Lett. 104
2010
Earlier work this paper cites.
D. S. Wang, A. G. Fowler, and L. C. L. Hollenberg, Surface code quantum computing with error rates over 1%, Phys. Rev. A 83
2011
Earlier work this paper cites.
H. Goto and H. Uchikawa, Fault-tolerant quantum computation with a soft-decision decoder for error correction and detection by teleportation, Sci. Rep. 3
2013
Earlier work this paper cites.
A. A. Kovalev and L. P. Pryadko, Quantum kronecker sum-product low-density parity-check codes with finite rate, Phys. Rev. A 88
2013
Earlier work this paper cites.
J.-P. Tillich and G. Zemor, Quantum LDPC codes with positive rate and minimum distance proportional to the square root of the blocklength, IEEE Transactions on Information Theory 60
2014
Earlier work this paper cites.
S. Bravyi and M. B. Hastings, Homological product codes, in Proceedings of the Forty-Sixth Annual ACM Symposium on Theory of Computing , STOC ’14 (Association for Computing Machinery, New York, NY, USA, 2014) p. 273–282
2014
Earlier work this paper cites.
C. Monroe, R. Raussendorf, A. Ruthven, K. R. Brown, P. Maunz, L.-M. Duan, and J. Kim, Large-scale modular quantum-computer architecture with atomic memory and photonic interconnects, Phys. Rev. A 89
2014
Earlier work this paper cites.
A. Leverrier, J.-P. Tillich, and G. Zemor, Quantum expander codes, in 2015 IEEE 56th Annual Symposium on Foundations of Computer Science (IEEE, 2015)
2015
Earlier work this paper cites.
H. Bombín, Single-shot fault-tolerant quantum error correction, Phys. Rev. X 5
2015
Earlier work this paper cites.
M. B. Hastings, Weight reduction for quantum codes, arXiv preprint arXiv:1611.03790 (2016)
2016
Earlier work this paper cites.
B. Criger and B. Terhal, Noise thresholds for the [[4, 2, 2]]-concatenated toric code, Quantum Information and Computation 16
2016
Earlier work this paper cites.
D. Bacon, S. T. Flammia, A. W. Harrow, and J. Shi, Sparse quantum codes from quantum circuits, IEEE Transactions on Information Theory 63
2017
Earlier work this paper cites.
X. Xu, N. d. Beaudrap, J. O’Gorman, and S. C. Benjamin, An integrity measure to benchmark quantum error correcting memories, New Journal of Physics 20
2018
Earlier work this paper cites.
A. A. Kovalev, S. Prabhakar, I. Dumer, and L. P. Pryadko, Numerical and analytical bounds on threshold error rates for hypergraph-product codes, Phys. Rev. A 97
2018
Cited alongside, same era.
R. Chao and B. W. Reichardt, Fault-tolerant quantum computation with few qubits, npj Quantum Information 4
2018
Cited alongside, same era.
E. T. Campbell, A theory of single-shot error correction for adversarial noise, Quantum Science and Technology 4
2019
Cited alongside, same era.
B. W. Reichardt, Fault-tolerant quantum error correction for steane’s seven-qubit color code with few or no extra qubits, Quantum Science and Technology 6
2020
Cited alongside, same era.
C. Ryan-Anderson, J. G. Bohnet, K. Lee, D. Gresh, A. Hankin, J. P. Gaebler, D. Francois, A. Chernoguzov, D. Lucchetti, N. C. Brown, et al. , Realization of real-time fault-tolerant quantum error correction, Phys. Rev. X 11
A. Anshu, N. P. Breuckmann, and C. Nirkhe, NLTS hamiltonians from good quantum codes, in Proceedings of the 55th Annual ACM Symposium on Theory of Computing , STOC 2023 (Association for Computing Machinery, New York, NY, USA, 2023) p. 1090–1096
2023
Later among the works it cites.
Google Quantum AI and Collaborators, Quantum error correction below the surface code threshold, Nature (2024)
2024
Later among the works it cites.
2024
Later among the works it cites.
2024
Later among the works it cites.
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2021
Cited alongside, same era.
M. B. Hastings and J. Haah, Dynamically generated logical qubits, Quantum 5
2021
Cited alongside, same era.
J. M. Pino, J. M. Dreiling, C. Figgatt, J. P. Gaebler, S. A. Moses, M. S. Allman, C. H. Baldwin, M. Foss-Feig, D. Hayes, K. Mayer, C. Ryan-Anderson, and B. Neyenhuis, Demonstration of the trapped-ion quantum CCD computer architecture, Nature 592
2021
Cited alongside, same era.
P. Panteleev and G. Kalachev, Degenerate quantum LDPC codes with good finite length performance, Quantum 5
2021
Cited alongside, same era.
A. Grospellier, L. Grouès, A. Krishna, and A. Leverrier, Combining hard and soft decoders for hypergraph product codes, Quantum 5
2021
Cited alongside, same era.
C. Gidney, Stim: a fast stabilizer circuit simulator, Quantum 5
2021
Cited alongside, same era.
A. O. Quintavalle, M. Vasmer, J. Roffe, and E. T. Campbell, Single-shot error correction of three-dimensional homological product codes, PRX Quantum 2
2021
Cited alongside, same era.
2022
Cited alongside, same era.
N. Baspin and D. Williamson, Wire codes, arXiv preprint arXiv:2410.10194 (2024)
2024
Later among the works it cites.
2024
Later among the works it cites.
C. N. Self, M. Benedetti, and D. Amaro, Protecting expressive circuits with a quantum error detection code, Nature Physics 20
2024
Later among the works it cites.
2024
Later among the works it cites.
2024
Later among the works it cites.
H. Goto, High-performance fault-tolerant quantum computing with many-hypercube codes, Science Advances 10
2024
Later among the works it cites.
2024
Later among the works it cites.
S. Huang and S. Puri, Increasing memory lifetime of quantum low-density parity check codes with sliding-window noisy syndrome decoding, Phys. Rev. A 110
2024
Later among the works it cites.
2024
Later among the works it cites.
D. Bluvstein, S. J. Evered, A. A. Geim, S. H. Li, H. Zhou, T. Manovitz, S. Ebadi, M. Cain, M. Kalinowski, D. Hangleiter, et al. , Logical quantum processor based on reconfigurable atom arrays, Nature 626
2024
Later among the works it cites.
2024
Later among the works it cites.
N. Berthusen and D. Gottesman, Partial syndrome measurement for hypergraph product codes, Quantum 8
2024
Later among the works it cites.
2024
Later among the works it cites.
2024
Later among the works it cites.
S. Bravyi, A. W. Cross, J. M. Gambetta, D. Maslov, P. Rall, and T. J. Yoder, High-threshold and low-overhead fault-tolerant quantum memory, Nature 627
2024
Later among the works it cites.
Y. Hong, M. Marinelli, A. M. Kaufman, and A. Lucas, Long-range-enhanced surface codes, Phys. Rev. A 110
2024
Later among the works it cites.
C. Pattison, QEC utilities for practical realizations of general qLDPC codes (2024)
2024
Later among the works it cites.
2024
Later among the works it cites.
N. P. Breuckmann and S. Burton, Fold-transversal clifford gates for quantum codes, Quantum 8
2024
Later among the works it cites.
N. Berthusen, D. Devulapalli, E. Schoute, A. M. Childs, M. J. Gullans, A. V. Gorshkov, and D. Gottesman, Toward a 2D local implementation of quantum low-density parity-check codes, PRX Quantum 6
2025
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L. Pecorari, S. Jandura, G. K. Brennen, and G. Pupillo, High-rate quantum ldpc codes for long-range-connected neutral atom registers, Nature Communications 16
2025
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2025
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