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We present a method, called matching synthesis, for decoding quantum codes that produces an enhanced assignment of errors from an ensemble of decoders.
1904
Earlier work this paper cites.
J. Edmonds, Paths, trees, and flowers, Can. J. Math. 17
1965
Earlier work this paper cites.
S. Lin, Computer solutions of the traveling salesman problem, The Bell System Technical Journal 44
1965
Earlier work this paper cites.
S. Lin and B. W. Kernighan, An Effective Heuristic Algorithm for the Traveling-Salesman Problem, Operations Research 21
1973
Earlier work this paper cites.
H. Mühlenbein, M. Gorges-Schleuter, and O. Krämer, Evolution algorithms in combinatorial optimization, Parallel Computing 7
1988
Earlier work this paper cites.
O. Martin, S. W. Otto, and E. W. Felten, Large-step markov chains for the traveling salesman problem, Complex Systems 5
1991
Earlier work this paper cites.
S. W. Mahfoud and D. E. Goldberg, Parallel recombinative simulated annealing: A genetic algorithm, Parallel Computing 21
1995
Earlier work this paper cites.
S. B. Bravyi and A. Y. Kitaev, Quantum codes on a lattice with boundary, (1998), Preprint arXiv:quant-ph/9811052
1998
Earlier work this paper cites.
D. Gottesman, The Heisenberg Representation of Quantum Computers, (1998), Preprint arXiv:quant-ph/9807006
1998
Earlier work this paper cites.
J. Håstad, Clique is hard to approximate within n 1 − ε n^{1-\varepsilon} , Acta Mathematica 182
1999
Earlier work this paper cites.
2001
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. M. Steane, Overhead and noise threshold of fault-tolerant quantum error correction, Phys. Rev. A 68
2003
Earlier work this paper cites.
J. Feldman, M. J. Wainwright, and D. R. Karger, Using linear programming to decode binary linear codes, IEEE Transactions on Information Theory 51
2005
Earlier work this paper cites.
P. Aliferis, D. Gottesman, and J. Preskill, Quantum accuracy threshold for concatenated distance-3 codes, Quantum Info. Comput. 6
2006
Earlier work this paper cites.
H. Bombin and M. A. Martin-Delgado, Statistical mechanical models and topological color codes, Phys. Rev. A 77
2008
Earlier work this paper cites.
G. Duclos-Cianci and D. Poulin, A renormalization group decoding algorithm for topological quantum codes, in 2010 IEEE Information Theory Workshop (2010) pp. 1–5
2010
Earlier work this paper cites.
2011
Earlier work this paper cites.
A. G. Fowler, M. Mariantoni, J. M. Martinis, and A. N. Cleland, Surface codes: Towards practical large-scale quantum computation, Phys. Rev. A 86
2012
Earlier work this paper cites.
N. C. Jones, R. Van Meter, A. G. Fowler, P. L. McMahon, J. Kim, T. D. Ladd, and Y. Yamamoto, Layered architecture for quantum computing, Phys. Rev. X 2
2012
Earlier work this paper cites.
D. Horsman, A. G. Fowler, S. Devitt, and R. V. Meter, Surface code quantum computing by lattice surgery, New Journal of Physics 14
2012
Earlier work this paper cites.
2013
Earlier work this paper cites.
S. Bravyi and J. Haah, Quantum self-correction in the 3d cubic code model, Phys. Rev. Lett. 111
2013
Cited alongside, same era.
A. A. Kovalev and L. P. Pryadko, Fault tolerance of quantum low-density parity check codes with sublinear distance scaling, Phys. Rev. A 87
2013
Cited alongside, same era.
2014
Cited alongside, same era.
S. Bravyi, M. Suchara, and A. Vargo, Efficient algorithms for maximum likelihood decoding in the surface code, Physical Review A 90
2014
Cited alongside, same era.
N. Delfosse, Decoding color codes by projection onto surface codes, Phys. Rev. A 89
2014
Cited alongside, same era.
2023
Later among the works it cites.
J. Old and M. Rispler, Generalized Belief Propagation Algorithms for Decoding of Surface Codes, Quantum 7
2023
Later among the works it cites.
2023
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.
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B. M. Terhal, Quantum error correction for quantum memories, Rev. Mod. Phys. 87
2015
Cited alongside, same era.
B. Criger and I. Ashraf, Multi-path Summation for Decoding 2D Topological Codes, Quantum 2
2018
Cited alongside, same era.
J. X. Li and P. O. Vontobel, LP Decoding of Quantum Stabilizer Codes, in 2018 IEEE International Symposium on Information Theory (ISIT) (IEEE Press, 2018) p. 1306–1310
2018
Cited alongside, same era.
2018
Cited alongside, same era.
M. Sheth, S. Z. Jafarzadeh, and V. Gheorghiu, Neural ensemble decoding for topological quantum error-correcting codes, Physical Review A 101
2020
Cited alongside, same era.
C. T. Chubb and S. T. Flammia, Statistical mechanical models for quantum codes with correlated noise, Annales de l’Institut Henri Poincaré D 8
2021
Cited alongside, same era.
2021
Cited alongside, same era.
2023
Later among the works it cites.
C. Gidney, M. Newman, P. Brooks, and C. Jones, Yoked surface codes, arXiv:2312.04522 (2023)
2023
Later among the works it cites.
2023
Later among the works it cites.
2023
Later among the works it cites.
2023
Later among the works it cites.
X. Tan, F. Zhang, R. Chao, Y. Shi, and J. Chen, Scalable surface-code decoders with parallelization in time, PRX Quantum 4
2023
Later among the works it cites.
2023
Later among the works it cites.
A. Kubica and N. Delfosse, Efficient color code decoders in d ≥ 2 d\geq 2 dimensions from toric code decoders, Quantum 7
2023
Later among the works it cites.
2024
Closest in time.
2024
Closest in time.
H. Bombín, M. Pant, S. Roberts, and K. I. Seetharam, Fault-tolerant postselection for low-overhead magic state preparation, PRX Quantum 5
2024
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2024
Closest in time.
2024
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D. Bluvstein, S. J. Evered, A. A. Geim, S. H. Li, H. Zhou, T. Manovitz, S. Ebadi, M. Cain, M. Kalinowski, D. Hangleiter, J. P. B. Ataides, N. Maskara, I. Cong, X. Gao, P. S. Rodriguez, T. Karolyshyn, G. Semeghini, M. J. Gullans, M. Greiner, V. Vuletić, and M. D. Lukin, Logical quantum processor based on reconfigurable atom arrays, Nature 626
2024
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2024
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2024
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