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Historically, a $\sqrt{N}log^{1/2}(N)$ distance barrier for quantum low-density parity-check (LDPC) codes with $N$ qubits persisted for nearly two decades, until the recent discovery of the fibre-bundle code.
M. Gromov, Systoles and intersystolic inequalities, Actes de la Table Ronde de Géométrie Différentielle (Luminy, 1992), 291—362, Sémin. Congr., 1, Soc. Math. France, Paris (1996)
1996
Earlier work this paper cites.
M. G. Katz and A. I. Suciu, Volume of Riemannian manifolds, geometric inequalities, and homotopy theory, arXiv Mathematics e-prints , math/9810172 (1998) , arXiv:math/9810172 [math.DG]
1998
Earlier work this paper cites.
A. Hatcher, Algebraic Topology (CUP, Cambridge; New York, 2001)
2001
Earlier work this paper cites.
M. H. Freedman, D. A. Meyer, and F. Luo, Z2-systolic freedom and quantum codes, in Mathematics of quantum computation (Chapman and Hall/CRC, 2002) pp. 303–338
2002
Earlier work this paper cites.
N. Linial* and R. Meshulam*, Homological Connectivity Of Random 2-Complexes, Combinatorica 26
2006
Earlier work this paper cites.
R. Meshulam and N. Wallach, Homological connectivity of random k-dimensional complexes, arXiv 10.48550/arxiv.math/0609773 (2006), math/0609773
2006
Earlier work this paper cites.
D. Bacon, Operator quantum error-correcting subsystems for self-correcting quantum memories, Physical Review A 73
2006
Earlier work this paper cites.
2010
Earlier work this paper cites.
M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, 2010)
2010
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.
H. Bombin, Gauge color codes: optimal transversal gates and gauge fixing in topological stabilizer codes, New Journal of Physics 17
2015
Earlier work this paper cites.
A. Kubica, B. Yoshida, and F. Pastawski, Unfolding the color code, New Journal of Physics 17
2015
Earlier work this paper cites.
B. Yoshida, Topological color code and symmetry-protected topological phases, Phys. Rev. B 91
2015
Earlier work this paper cites.
B. Yoshida, Topological phases with generalized global symmetries, Phys. Rev. B 93
2016
Earlier work this paper cites.
B. Yoshida, Gapped boundaries, group cohomology and fault-tolerant logical gates, Annals of Physics 377
2017
Earlier work this paper cites.
R. Meshulam, Graph codes and local systems, arXiv 10.48550/arxiv.1803.05643 (2018), 1803.05643
2018
Cited alongside, same era.
D. Dotterrer, L. Guth, and M. Kahle, 2-Complexes with Large 2-Girth, Discrete & Computational Geometry 59
2018
Cited alongside, same era.
M. Vasmer and D. E. Browne, Three-dimensional surface codes: Transversal gates and fault-tolerant architectures, Phys. Rev. A 100
2019
Cited alongside, same era.
J. McCullough and H. Newman, Asymptotically good homological error correcting codes, Journal of Algebra Combinatorics Discrete Structures and Applications 6
2019
Cited alongside, same era.
N. P. Breuckmann and J. N. Eberhardt, Balanced Product Quantum Codes, arXiv:2012.09271 (2020)
2020
2024
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2024
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2024
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2024
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Cited alongside, same era.
M. Freedman and M. B. Hastings, Building manifolds from quantum codes, arXiv:2012.02249 (2020)
2020
Cited alongside, same era.
G. Zhu, M. Hafezi, and M. Barkeshli, Quantum origami: Transversal gates for quantum computation and measurement of topological order, Phys. Rev. Research 2
2020
Cited alongside, same era.
M. Hastings, J. Haah, and R. O’Donnell, Fiber bundle codes: breaking the n 1 / 2 polylog ( n ) n^{1/2}\textrm{polylog}(n) barrier for quantum ldpc codes, in Proc. ACM STOC (Association for Computing Machinery, New York, NY, USA, 2021) pp. 1276–1288
2021
Cited alongside, same era.
P. Panteleev and G. Kalachev, Asymptotically good quantum and locally testable classical ldpc codes, in Proc. ACM STOC (Association for Computing Machinery, New York, NY, USA, 2022) pp. 375—388
2022
Cited alongside, same era.
L. Cohen, I. Kim, S. Bartlett, and B. Brown, Low-overhead fault-tolerant quantum computing using long-range connectivity, Sci. Adv. 8
2022
Cited alongside, same era.
G. Zhu, T. Jochym-O’Connor, and A. Dua, Topological order, quantum codes, and quantum computation on fractal geometries, PRX Quantum 3
2022
Cited alongside, same era.
S. Huang, T. Jochym-O’Connor, and T. J. Yoder, Homomorphic logical measurements, PRX Quantum 4
2023
Cited alongside, same era.
2024
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2024
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M. Barkeshli, Y.-A. Chen, P.-S. Hsin, and R. Kobayashi, Higher-group symmetry in finite gauge theory and stabilizer codes, SciPost Physics 16
2024
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2024
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2024
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2024
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2024
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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
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