Fetching the paper…
Reading the bibliography…
Generalized-bicycle (GB) and more general two-block group-algebra (2BGA) quantum error-correcting codes have naturally redundant minimum-weight stabilizer generators.
1904
Earlier work this paper cites.
L. P. Pryadko, On maximum-likelihood decoding with circuit-level errors, Quantum 4
1909
Earlier work this paper cites.
E. Prange, The use of information sets in decoding cyclic codes, Information Theory, IRE Transactions on 8
1962
Earlier work this paper cites.
F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes (North-Holland, Amsterdam, 1981)
1981
Earlier work this paper cites.
J. S. Leon, A probabilistic algorithm for computing minimum weights of large error-correcting codes, IEEE Trans. Info. Theory 34
1988
Earlier work this paper cites.
E. A. Kruk, Decoding complexity bound for linear block codes, Probl. Peredachi Inf. 25
1989
Earlier work this paper cites.
J. T. Coffey and R. M. Goodman, The complexity of information set decoding, IEEE Trans. Info. Theory 36
1990
Earlier work this paper cites.
M. P. C. Fossorier and S. Lin, Soft-decision decoding of linear block codes based on ordered statistics, IEEE Transactions on Information Theory 41
1995
Earlier work this paper cites.
S. B. Bravyi and A. Y. Kitaev, Quantum codes on a lattice with boundary, quant-ph/9811052 (1998), unpublished
1998
Earlier work this paper cites.
M. H. Freedman and D. A. Meyer, Projective plane and planar quantum codes, Foundations of Computational Mathematics 1
2001
Earlier work this paper cites.
T. J. Richardson, M. A. Shokrollahi, and R. L. Urbanke, Design of capacity-approaching irregular low-density parity-check codes, Information Theory, IEEE Transactions on 47
2001
Earlier work this paper cites.
S.-Y. Chung, G. D. Forney Jr, T. J. Richardson, and R. Urbanke, On the design of low-density parity-check codes within 0.0045 dB of the Shannon limit, Communications Letters, IEEE 5
2001
Earlier work this paper cites.
M. P. C. Fossorier, Iterative reliability-based decoding of low-density parity check codes, IEEE Journal on Selected Areas in Communications 19
2001
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.
A. Y. Kitaev, Fault-tolerant quantum computation by anyons, Ann. Phys. 303
2003
Earlier work this paper cites.
2005
Earlier work this paper cites.
H. Bombin and M. A. Martin-Delgado, Homological error correction: Classical and quantum codes, Journal of Mathematical Physics 48
2007
Earlier work this paper cites.
2007
Earlier work this paper cites.
R. Raussendorf and J. Harrington, Fault-tolerant quantum computation with high threshold in two dimensions, Phys. Rev. Lett. 98
2007
Earlier work this paper cites.
C. Castelnovo and C. Chamon, Topological order in a three-dimensional toric code at finite temperature, Phys. Rev. B 78
2008
Earlier work this paper cites.
D. Poulin and Y. Chung, On the iterative decoding of sparse quantum codes, Quant. Info. and Comp. 8
2008
Earlier work this paper cites.
J.-P. Tillich and G. Zémor, Quantum LDPC codes with positive rate and minimum distance proportional to n \sqrt{n} , in Proc. IEEE Int. Symp. Inf. Theory (ISIT) (2009) pp. 799–803
2009
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 % 1\% , Phys. Rev. A 83
2011
Cited alongside, same era.
D. Mazáč and A. Hamma, Topological order, entanglement, and quantum memory at finite temperature, Annals of Physics 327
2012
Cited alongside, same era.
2012
Cited alongside, same era.
A. A. Kovalev and L. P. Pryadko, Quantum Kronecker sum-product low-density parity-check codes with finite rate, Phys. Rev. A 88
2013
Cited alongside, same era.
H. Bombin, R. W. Chhajlany, M. Horodecki, and M. A. Martin-Delgado, Self-correcting quantum computers, New Journal of Physics 15
2013
Cited alongside, same era.
S. Huang, M. Newman, and K. R. Brown, Fault-tolerant weighted union-find decoding on the toric code, Phys. Rev. A 102
2020
Later among the works it cites.
K. Y. Kuo and C. Y. Lai, Refined belief propagation decoding of sparse-graph quantum codes, IEEE Journal on Selected Areas in Information Theory 1
2020
Later among the works it cites.
2020
Later among the works it cites.
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
Later among the works it cites.
C. Gidney, Stim: a fast stabilizer circuit simulator, Quantum 5
2021
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Y. Fujiwara, Ability of stabilizer quantum error correction to protect itself from its own imperfection, Phys. Rev. A 90
2014
Cited alongside, same era.
A. Ashikhmin, C. Y. Lai, and T. A. Brun, Robust quantum error syndrome extraction by classical coding, in 2014 IEEE International Symposium on Information Theory (2014) pp. 546–550
2014
Cited alongside, same era.
Y. Tomita and K. M. Svore, Low-distance surface codes under realistic quantum noise, Phys. Rev. A 90
2014
Cited alongside, same era.
H. Bombín, Single-shot fault-tolerant quantum error correction, Phys. Rev. X 5
2015
Cited alongside, same era.
2015
Cited alongside, same era.
2015
Cited alongside, same era.
2015
Cited alongside, same era.
R. Wang and L. P. Pryadko, Distance bounds for generalized bicycle codes, Symmetry 14
2022
Later among the works it cites.
J. Roffe, LDPC: Python tools for low density parity check codes (2022)
2022
Later among the works it cites.
L. P. Pryadko, V. A. Shabashov, and V. K. Kozin, QDistRnd: A GAP package for computing the distance of quantum error-correcting codes, Journal of Open Source Software 7
2022
Later among the works it cites.
L. Skoric, D. E. Browne, K. M. Barnes, N. I. Gillespie, and E. T. Campbell, Parallel window decoding enables scalable fault tolerant quantum computation, Nature Communications 14
2023
Later among the works it cites.
O. Higgott and N. P. Breuckmann, Improved single-shot decoding of higher-dimensional hypergraph-product codes, PRX Quantum 4
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.
2024
Later among the works it cites.
2024
Later among the works it cites.
L. P. Pryadko and W. Zeng, dist_m4ri
2024
Later among the works it cites.
2024
Later among the works it cites.
2024
Later among the works it cites.
L. P. Pryadko, vecdec — vectorized decoder and LER estimator, https://github.com/QEC-pages/vecdec (2025)
2025
Closest in time.
H.-K. Lin, X. Liu, P. K. Lim, and L. P. Pryadko, TwoShot repository , GitHhub repository (2025)
2025
Closest in time.